Disney BSSRDF, PDF of scattering profile

Time bar (total: 11.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze79.0ms (0.7%)

Memory
5.5MiB live, 82.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%2.1%97.9%0%0%0%0
0%0%2.1%97.9%0%0%0%1
0%0%2.1%97.9%0%0%0%2
25%0.5%1.5%97.9%0%0%0%3
37.5%0.8%1.3%97.9%0%0%0%4
56.2%1.2%0.9%97.9%0%0%0%5
65.6%1.3%0.7%97.9%0%0%0%6
76.6%1.6%0.5%97.9%0%0%0%7
82%1.7%0.4%97.9%0%0%0%8
87.9%1.8%0.2%97.9%0%0%0%9
90.8%1.9%0.2%97.9%0%0%0%10
93.8%1.9%0.1%97.9%0%0%0%11
95.4%2%0.1%97.9%0%0%0%12
Compiler

Compiled 49 to 37 computations (24.5% saved)

sample2.1s (17.6%)

Memory
86.5MiB live, 3 159.4MiB allocated
Samples
1.6s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult: 531.0ms (39.8% of total)
ival-div: 235.0ms (17.6% of total)
ival-exp: 152.0ms (11.4% of total)
const: 121.0ms (9.1% of total)
ival-neg: 87.0ms (6.5% of total)
ival-<: 43.0ms (3.2% of total)
ival-<=: 41.0ms (3.1% of total)
ival-add: 36.0ms (2.7% of total)
ival-pi: 33.0ms (2.5% of total)
exact: 31.0ms (2.3% of total)
ival-and: 22.0ms (1.6% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain496.0ms (4.2%)

Memory
-248.3MiB live, 425.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
12(0.05747096240520477 29.535375595092773)1(26.96116065979004 1047.8961181640625)(exp.f32 (/.f32 (neg.f32 r) s))
00-0-(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
00-0-(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
00-0-(PI.f32)
00-0-#s(literal 2 binary32)
00-0-(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
00-0-(*.f32 #s(literal 6 binary32) (PI.f32))
00-0-(neg.f32 r)
00-0-s
00-0-(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
04(0.25448086857795715 525.6365966796875)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)
00-0-(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
00-0-(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
00-0-(*.f32 #s(literal 3 binary32) s)
00-0-(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
00-0-#s(literal 6 binary32)
00-0-r
00-0-#s(literal 3 binary32)
00-0-(*.f32 #s(literal 2 binary32) (PI.f32))
00-0-(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))sensitivity40
exp.f32(exp.f32 (/.f32 (neg.f32 r) s))sensitivity24
/.f32(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))u/n10
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))underflow224
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))underflow224
Confusion
Predicted +Predicted -
+10
-3252
Precision
0.25
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-34248
Precision?
0.125
Recall?
1.0
Freqs
test
numberfreq
0252
12
21
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
78.0ms512×0valid
Compiler

Compiled 331 to 79 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 26.0ms (45.3% of total)
ival-div: 13.0ms (22.6% of total)
ival-exp: 7.0ms (12.2% of total)
ival-add: 5.0ms (8.7% of total)
ival-pi: 2.0ms (3.5% of total)
ival-neg: 2.0ms (3.5% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess242.0ms (2%)

Memory
-10.4MiB live, 140.0MiB allocated
Algorithm
egg-herbie
Rules
5 478×lower-/.f64
5 470×lower-/.f32
5 136×lower-*.f64
5 118×lower-*.f32
2 504×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

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

Compiled 35 to 25 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 35 to 25 computations (28.6% saved)

simplify195.0ms (1.6%)

Memory
7.4MiB live, 153.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 3 (0.0ms)

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

localize91.0ms (0.8%)

Memory
1.4MiB live, 87.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.21875
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
accuracy0.26171875
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
accuracy0.30078125
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
accuracy0.3046875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
Samples
73.0ms256×0valid
Compiler

Compiled 148 to 27 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 26.0ms (65.7% of total)
ival-div: 6.0ms (15.2% of total)
ival-exp: 3.0ms (7.6% of total)
ival-pi: 1.0ms (2.5% of total)
ival-add: 1.0ms (2.5% of total)
exact: 1.0ms (2.5% of total)
ival-neg: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series35.0ms (0.3%)

Memory
19.0MiB live, 54.5MiB allocated
Counts
7 → 156
Calls
Call 1
Inputs
#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (patch (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) (patch (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) #<representation binary32>) () ())
#s(alt (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)) (patch (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())
Outputs
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 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 (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 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 (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 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 (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI))))) (taylor -inf r) (#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 (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI))))) (taylor -inf r) (#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 (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI))))) (taylor -inf r) (#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 (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI))))) (taylor -inf r) (#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 (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI))))) (taylor -inf r) (#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 (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI))))) (taylor -inf r) (#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 (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI))))) (taylor -inf r) (#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 (* -1/3 (/ r s)) (taylor -inf r) (#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 (* -1/3 (/ r s)) (taylor -inf r) (#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 (* -1/3 (/ r s)) (taylor -inf r) (#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 (* -1/3 (/ r s)) (taylor -inf r) (#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 (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
9.0ms
r
@0
((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/ (neg r) (* 3 s)) (* (* 2 (PI)) s) (* (* (* 6 (PI)) s) r) (* (* (* 2 (PI)) s) r))
6.0ms
r
@inf
((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/ (neg r) (* 3 s)) (* (* 2 (PI)) s) (* (* (* 6 (PI)) s) r) (* (* (* 2 (PI)) s) r))
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))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/ (neg r) (* 3 s)) (* (* 2 (PI)) s) (* (* (* 6 (PI)) s) r) (* (* (* 2 (PI)) s) r))
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))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/ (neg r) (* 3 s)) (* (* 2 (PI)) s) (* (* (* 6 (PI)) s) r) (* (* (* 2 (PI)) s) r))
4.0ms
s
@0
((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/ (neg r) (* 3 s)) (* (* 2 (PI)) s) (* (* (* 6 (PI)) s) r) (* (* (* 2 (PI)) s) r))

simplify164.0ms (1.4%)

Memory
12.3MiB live, 204.0MiB allocated
Algorithm
egg-herbie
Rules
14 624×lower-fma.f64
14 624×lower-fma.f32
5 362×lower-*.f64
5 362×lower-*.f32
2 476×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02421900
17561845
221131788
359521788
082271755
Stop Event
iter limit
node limit
Counts
156 → 156
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)
(* 1/8 (/ (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 (* -1/3 (/ 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)))))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(/ 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)
(/ 1/8 (* 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))))
(/ (- (* 1/8 (/ 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)
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(/ 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 (/ (- (* 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 (/ (- (* 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))
(* 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))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ 1/8 (* 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 (* 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)
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* 1/8 (/ (exp (* -1 (/ r s))) (* 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 (* -1/3 (/ 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)))))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* -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 (/ (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)))))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
Outputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/8 binary32) s))
(/ (+ (* 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 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* 2 (* r (* s (PI))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* 2 (* r (* s (PI))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* 2 (* r (* s (PI))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* 2 (* r (* s (PI))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* 2 (* r (* s (PI))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* 2 (* r (* s (PI))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* 2 (* r (* s (PI))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* 2 (* r (* s (PI))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* 2 (* r (* s (PI))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* 2 (* r (* s (PI))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)

rewrite239.0ms (2%)

Memory
-20.0MiB live, 402.0MiB allocated
Rules
6 444×lower-fma.f64
6 444×lower-fma.f32
6 424×lower-/.f64
6 416×lower-/.f32
4 548×lower-*.f64
Iterations

Useful iterations: 2 (0.0ms)

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

eval209.0ms (1.8%)

Memory
-12.4MiB live, 140.2MiB allocated
Compiler

Compiled 26 889 to 1 708 computations (93.6% saved)

prune202.0ms (1.7%)

Memory
3.9MiB live, 201.9MiB allocated
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New67824702
Fresh000
Picked101
Done000
Total67924703
Accuracy
99.8%
Counts
703 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.8%
(fma.f32 (/.f32 #s(literal 3/4 binary32) r) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
96.8%
(fma.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
96.8%
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
99.5%
(/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) #s(literal 3/4 binary32)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) (*.f32 #s(literal 6 binary32) (PI.f32)))) (*.f32 s r))
99.5%
(/.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) (*.f32 r (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)))) r) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r))
99.6%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32)) #s(literal 1/6 binary32)) (*.f32 (PI.f32) (*.f32 s r))))
99.6%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
11.2%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) r))) s)))
9.7%
(+.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 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
11.1%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
10.0%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
96.9%
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
9.4%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
99.6%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) r)))
8.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) r (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
10.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
9.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
10.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 7/324 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
9.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
99.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
99.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/8 binary32) s)))
Compiler

Compiled 1 520 to 972 computations (36.1% saved)

simplify170.0ms (1.4%)

Memory
5.5MiB live, 154.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff64
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
cost-diff64
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
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-diff768
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (*.f32 #s(literal 3/4 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(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
cost-diff0
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
cost-diff224
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
cost-diff320
(fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32))))
cost-diff0
(-.f32 (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))
cost-diff0
(/.f32 (-.f32 (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s)
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
cost-diff640
(fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))
cost-diff0
(*.f32 (PI.f32) s)
cost-diff0
(*.f32 (*.f32 (PI.f32) s) r)
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
cost-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 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))
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 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
Rules
5 850×lower-fma.f64
5 844×lower-fma.f32
4 448×lower-*.f64
4 404×lower-*.f32
3 528×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089906
0147910
1269848
2662816
31945775
44611767
57071767
08469752
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) 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 1/4 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 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))
(*.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 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))
(*.f32 r #s(literal 6 binary32))
#s(literal 6 binary32)
(*.f32 (PI.f32) s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
#s(literal 1/4 binary32)
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
(PI.f32)
s
r
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
(/.f32 (-.f32 (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s)
(-.f32 (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))
(fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))
#s(literal -7/324 binary32)
(*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r)
(/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))
r
(*.f32 (*.f32 (*.f32 s s) s) (PI.f32))
(*.f32 (*.f32 s s) s)
(*.f32 s s)
s
(PI.f32)
(fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))
#s(literal 5/72 binary32)
(/.f32 r (*.f32 (*.f32 s s) (PI.f32)))
(*.f32 (*.f32 s s) (PI.f32))
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))
#s(literal 1/4 binary32)
(*.f32 (PI.f32) r)
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))
#s(literal 1/6 binary32)
(*.f32 (PI.f32) s)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s))
(-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s))
(/.f32 #s(literal -1/24 binary32) (PI.f32))
#s(literal -1/24 binary32)
(/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)
(fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32))))
#s(literal 1/1296 binary32)
(*.f32 (/.f32 r (*.f32 (PI.f32) s)) r)
(/.f32 r (*.f32 (PI.f32) s))
(*.f32 (PI.f32) s)
(*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))
#s(literal -1/144 binary32)
(/.f32 r (PI.f32))
(*.f32 s s)
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
#s(literal -1/8 binary32)
(*.f32 (*.f32 (PI.f32) s) r)
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (*.f32 #s(literal 3/4 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 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
#s(literal 1/8 binary32)
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
(PI.f32)
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.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 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (+.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (/.f32 (neg.f32 r) s))))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) (exp.f32 (/.f32 r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r)
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
(*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(*.f32 #s(literal 3 binary32) s)
#s(literal 3 binary32)
(*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 r #s(literal 6 binary32))
(*.f32 #s(literal 6 binary32) r)
#s(literal 6 binary32)
(*.f32 (PI.f32) s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
#s(literal 1/4 binary32)
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
(PI.f32)
s
r
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (fma.f32 (/.f32 r s) #s(literal -7/324 binary32) #s(literal 5/72 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
(/.f32 (-.f32 (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s)
(/.f32 (-.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (fma.f32 (/.f32 r s) #s(literal -7/324 binary32) #s(literal 5/72 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s)
(-.f32 (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))
(-.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (fma.f32 (/.f32 r s) #s(literal -7/324 binary32) #s(literal 5/72 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))
(fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (fma.f32 (/.f32 r s) #s(literal -7/324 binary32) #s(literal 5/72 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))
#s(literal -7/324 binary32)
(*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r)
(/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))
r
(*.f32 (*.f32 (*.f32 s s) s) (PI.f32))
(*.f32 (*.f32 s s) s)
(*.f32 s s)
s
(PI.f32)
(fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))
(fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))
#s(literal 5/72 binary32)
(/.f32 r (*.f32 (*.f32 s s) (PI.f32)))
(*.f32 (*.f32 s s) (PI.f32))
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))
#s(literal 1/4 binary32)
(*.f32 (PI.f32) r)
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))
#s(literal 1/6 binary32)
(*.f32 (PI.f32) s)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 #s(literal 1/1296 binary32) s) r #s(literal -1/144 binary32))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) (exp.f32 (/.f32 r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r)
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 #s(literal 1/1296 binary32) s) r #s(literal -1/144 binary32))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 #s(literal 1/1296 binary32) s) r #s(literal -1/144 binary32))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s))
(/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 #s(literal 1/1296 binary32) s) r #s(literal -1/144 binary32))) s)) (*.f32 s s))
(-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s))
(-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 #s(literal 1/1296 binary32) s) r #s(literal -1/144 binary32))) s))
(/.f32 #s(literal -1/24 binary32) (PI.f32))
#s(literal -1/24 binary32)
(/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)
(/.f32 (*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 #s(literal 1/1296 binary32) s) r #s(literal -1/144 binary32))) s)
(fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32))))
(*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 #s(literal 1/1296 binary32) s) r #s(literal -1/144 binary32)))
#s(literal 1/1296 binary32)
(*.f32 (/.f32 r (*.f32 (PI.f32) s)) r)
(/.f32 r (*.f32 (PI.f32) s))
(*.f32 (PI.f32) s)
(*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))
(*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))
#s(literal -1/144 binary32)
(/.f32 r (PI.f32))
(*.f32 s s)
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
#s(literal -1/8 binary32)
(*.f32 (*.f32 (PI.f32) s) r)
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (+.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (/.f32 (neg.f32 r) s))))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) (exp.f32 (/.f32 r s))))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
#s(literal 1/8 binary32)
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
(PI.f32)
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
(*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r 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)

localize256.0ms (2.2%)

Memory
21.2MiB live, 380.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.30078125
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
accuracy0.3046875
(*.f32 (PI.f32) s)
accuracy0.34095860241743065
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
accuracy0.8749228764502938
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
accuracy0.34095860241743065
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
accuracy0.9185167775779108
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
accuracy1.0477044508309754
(fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32))))
accuracy28.42383951154371
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
accuracy0.4650817043526452
(*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r)
accuracy0.737357775439587
(fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))
accuracy15.605819680117634
(fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))
accuracy28.653484551627102
#s(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 -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
accuracy0.2578125
(*.f32 (*.f32 (PI.f32) s) r)
accuracy0.3046875
(*.f32 (PI.f32) s)
accuracy0.32923985241743065
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
accuracy29.072719671259797
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
accuracy0.26171875
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
accuracy0.3046875
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
accuracy0.3046875
(*.f32 (PI.f32) s)
accuracy0.3310737793053261
(*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))
Samples
181.0ms256×0valid
Compiler

Compiled 810 to 73 computations (91% saved)

Precisions
Click to see histograms. Total time spent on operations: 140.0ms
ival-div: 61.0ms (43.4% of total)
ival-mult: 44.0ms (31.3% of total)
const: 16.0ms (11.4% of total)
ival-add: 6.0ms (4.3% of total)
ival-sub: 6.0ms (4.3% of total)
ival-exp: 4.0ms (2.8% of total)
ival-pi: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series93.0ms (0.8%)

Memory
-11.4MiB live, 192.9MiB allocated
Counts
28 → 648
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 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) (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 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) #<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 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) (patch (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) #<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 #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (PI.f32) s) r) (patch (*.f32 (*.f32 (PI.f32) s) r) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) s) (patch (*.f32 (PI.f32) s) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (patch (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s)) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s)) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s) (patch (/.f32 (-.f32 (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s) #<representation binary32>) () ())
#s(alt (-.f32 (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (patch (-.f32 (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) (patch (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (patch (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) #<representation binary32>) () ())
#s(alt (+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (*.f32 #s(literal 3/4 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 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (*.f32 #s(literal 3/4 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 3/4 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 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (patch (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)) (patch (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (patch (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) #<representation binary32>) () ())
#s(alt (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (patch (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) #<representation binary32>) () ())
#s(alt #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) (patch #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) #<representation binary32>) () ())
#s(alt (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (patch (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (patch (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (patch (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) #<representation binary32>) () ())
#s(alt (*.f32 (*.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))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#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 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) (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 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) #<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 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) (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 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) #<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 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) (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 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) #<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 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) (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 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#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 (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#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 (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#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 (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#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 (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) (patch (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) (patch (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) (patch (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) (patch (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor 0 s) (#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 (* -1/3 (/ r s)) (taylor 0 s) (#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 (* -1/3 (/ r s)) (taylor 0 s) (#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 (* -1/3 (/ r s)) (taylor 0 s) (#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 (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (PI.f32) s) r) (patch (*.f32 (*.f32 (PI.f32) s) r) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (PI.f32) s) r) (patch (*.f32 (*.f32 (PI.f32) s) r) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (PI.f32) s) r) (patch (*.f32 (*.f32 (PI.f32) s) r) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (PI.f32) s) r) (patch (*.f32 (*.f32 (PI.f32) s) r) #<representation binary32>) () ())) ())
#s(alt (* s (PI)) (taylor 0 s) (#s(alt (*.f32 (PI.f32) s) (patch (*.f32 (PI.f32) s) #<representation binary32>) () ())) ())
#s(alt (* s (PI)) (taylor 0 s) (#s(alt (*.f32 (PI.f32) s) (patch (*.f32 (PI.f32) s) #<representation binary32>) () ())) ())
#s(alt (* s (PI)) (taylor 0 s) (#s(alt (*.f32 (PI.f32) s) (patch (*.f32 (PI.f32) s) #<representation binary32>) () ())) ())
#s(alt (* s (PI)) (taylor 0 s) (#s(alt (*.f32 (PI.f32) s) (patch (*.f32 (PI.f32) s) #<representation binary32>) () ())) ())
#s(alt (* -7/324 (/ (pow r 2) (* (pow s 3) (PI)))) (taylor 0 s) (#s(alt (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (patch (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) (pow s 3)) (taylor 0 s) (#s(alt (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (patch (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* 5/72 (/ r (PI))) (* 1/4 (/ (pow s 2) (* r (PI))))))) (pow s 3)) (taylor 0 s) (#s(alt (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (patch (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) #<representation binary32>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
15.0ms
r
@inf
((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s)))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s))) (/ (neg r) (* 3 s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* (PI) s) r)) (* (* (PI) s) r) (* (PI) s) (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) s) (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* 1/4 (exp (/ (neg r) s))) (+ (* (exp (/ (neg r) s)) (/ 1/8 (* (* (PI) s) r))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* (exp (/ (neg r) s)) (/ 1/8 (* (* (PI) s) r))) (* (* r 6) (* (PI) s)) (* (* 2 (PI)) s) (* (* (* 2 (PI)) s) r) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r))) (* (/ r (* (* (* s s) s) (PI))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (- (/ (- (/ -1/24 (PI)) (/ (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) s)) (* s s)) (/ -1/8 (* (* (PI) s) r))) (/ -1/8 (* (* (PI) s) r)) (/ 1/8 (* (* (PI) s) r)) (* (* (* 6 (PI)) s) r))
13.0ms
s
@0
((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s)))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s))) (/ (neg r) (* 3 s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* (PI) s) r)) (* (* (PI) s) r) (* (PI) s) (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) s) (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* 1/4 (exp (/ (neg r) s))) (+ (* (exp (/ (neg r) s)) (/ 1/8 (* (* (PI) s) r))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* (exp (/ (neg r) s)) (/ 1/8 (* (* (PI) s) r))) (* (* r 6) (* (PI) s)) (* (* 2 (PI)) s) (* (* (* 2 (PI)) s) r) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r))) (* (/ r (* (* (* s s) s) (PI))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (- (/ (- (/ -1/24 (PI)) (/ (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) s)) (* s s)) (/ -1/8 (* (* (PI) s) r))) (/ -1/8 (* (* (PI) s) r)) (/ 1/8 (* (* (PI) s) r)) (* (* (* 6 (PI)) s) r))
9.0ms
r
@0
((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s)))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s))) (/ (neg r) (* 3 s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* (PI) s) r)) (* (* (PI) s) r) (* (PI) s) (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) s) (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* 1/4 (exp (/ (neg r) s))) (+ (* (exp (/ (neg r) s)) (/ 1/8 (* (* (PI) s) r))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* (exp (/ (neg r) s)) (/ 1/8 (* (* (PI) s) r))) (* (* r 6) (* (PI) s)) (* (* 2 (PI)) s) (* (* (* 2 (PI)) s) r) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r))) (* (/ r (* (* (* s s) s) (PI))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (- (/ (- (/ -1/24 (PI)) (/ (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) s)) (* s s)) (/ -1/8 (* (* (PI) s) r))) (/ -1/8 (* (* (PI) s) r)) (/ 1/8 (* (* (PI) s) r)) (* (* (* 6 (PI)) s) r))
6.0ms
r
@-inf
((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s)))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s))) (/ (neg r) (* 3 s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* (PI) s) r)) (* (* (PI) s) r) (* (PI) s) (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) s) (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* 1/4 (exp (/ (neg r) s))) (+ (* (exp (/ (neg r) s)) (/ 1/8 (* (* (PI) s) r))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* (exp (/ (neg r) s)) (/ 1/8 (* (* (PI) s) r))) (* (* r 6) (* (PI) s)) (* (* 2 (PI)) s) (* (* (* 2 (PI)) s) r) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r))) (* (/ r (* (* (* s s) s) (PI))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (- (/ (- (/ -1/24 (PI)) (/ (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) s)) (* s s)) (/ -1/8 (* (* (PI) s) r))) (/ -1/8 (* (* (PI) s) r)) (/ 1/8 (* (* (PI) s) r)) (* (* (* 6 (PI)) s) r))
6.0ms
s
@-inf
((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s)))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s))) (/ (neg r) (* 3 s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* (PI) s) r)) (* (* (PI) s) r) (* (PI) s) (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) s) (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* 1/4 (exp (/ (neg r) s))) (+ (* (exp (/ (neg r) s)) (/ 1/8 (* (* (PI) s) r))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* (exp (/ (neg r) s)) (/ 1/8 (* (* (PI) s) r))) (* (* r 6) (* (PI) s)) (* (* 2 (PI)) s) (* (* (* 2 (PI)) s) r) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r))) (* (/ r (* (* (* s s) s) (PI))) r) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (- (/ (- (/ -1/24 (PI)) (/ (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) s)) (* s s)) (/ -1/8 (* (* (PI) s) r))) (/ -1/8 (* (* (PI) s) r)) (/ 1/8 (* (* (PI) s) r)) (* (* (* 6 (PI)) s) r))

simplify226.0ms (1.9%)

Memory
12.7MiB live, 289.0MiB allocated
Algorithm
egg-herbie
Rules
10 782×lower-fma.f64
10 782×lower-fma.f32
5 174×lower-*.f64
5 174×lower-*.f32
3 264×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05309482
116149127
246258954
081118735
Stop Event
iter limit
node limit
Counts
648 → 648
Calls
Call 1
Inputs
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(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
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(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
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(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
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(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))))) (pow s 3))
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(/ (+ (* -1/144 (/ (* r s) (PI))) (* 1/1296 (/ (pow r 2) (PI)))) s)
(/ (+ (* -1/144 (/ (* r s) (PI))) (* 1/1296 (/ (pow r 2) (PI)))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
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(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
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(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) (pow s 4))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* s (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))))) (pow s 4))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* s (+ (* 1/144 (/ r (PI))) (* s (- (* 1/8 (/ s (* r (PI)))) (* 1/24 (/ 1 (PI)))))))) (pow s 4))
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1/4
(+ 1/4 (* -1/4 (/ r s)))
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(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* 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 (/ 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)))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 5/72 (/ r (* (pow s 2) (PI))))
(* r (+ (* 1/4 (/ 1 (* (pow r 2) (PI)))) (* 5/72 (/ 1 (* (pow s 2) (PI))))))
(* r (+ (* 1/4 (/ 1 (* (pow r 2) (PI)))) (* 5/72 (/ 1 (* (pow s 2) (PI))))))
(* r (+ (* 1/4 (/ 1 (* (pow r 2) (PI)))) (* 5/72 (/ 1 (* (pow s 2) (PI))))))
(/ (pow r 2) (* (pow s 3) (PI)))
(/ (pow r 2) (* (pow s 3) (PI)))
(/ (pow r 2) (* (pow s 3) (PI)))
(/ (pow r 2) (* (pow s 3) (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)))))
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (/ 1/144 (* r (* (pow s 3) (PI)))) (+ (* 1/1296 (/ 1 (* (pow s 4) (PI)))) (/ 1/24 (* (pow r 2) (* (pow s 2) (PI)))))))
(* (pow r 2) (- (+ (/ 1/144 (* r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow r 3) (* s (PI)))))) (+ (* 1/1296 (/ 1 (* (pow s 4) (PI)))) (* 1/24 (/ 1 (* (pow r 2) (* (pow s 2) (PI))))))))
(/ -1/8 (* r (* s (PI))))
(/ -1/8 (* r (* s (PI))))
(/ -1/8 (* r (* s (PI))))
(/ -1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* -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 (/ (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)))))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -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))))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (+ (/ 5/72 (* r (* (pow s 2) (PI)))) (/ 1/4 (* (pow r 3) (PI)))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (+ (/ 5/72 (* r (* (pow s 2) (PI)))) (/ 1/4 (* (pow r 3) (PI)))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* -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))
(* -7/324 (/ (pow r 2) (* (pow s 4) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))) (* 7/324 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/6 (/ 1 (* r (* (pow s 2) (PI))))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 4) (PI))))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* 1/1296 (/ (pow r 2) (* s (PI))))
(* (pow r 2) (- (* 1/1296 (/ 1 (* s (PI)))) (* 1/144 (/ 1 (* r (PI))))))
(* (pow r 2) (- (* 1/1296 (/ 1 (* s (PI)))) (* 1/144 (/ 1 (* r (PI))))))
(* (pow r 2) (- (* 1/1296 (/ 1 (* s (PI)))) (* 1/144 (/ 1 (* r (PI))))))
(* -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 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* -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 (* -1/3 (/ 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 (/ 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)))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 5/72 (/ r (* (pow s 2) (PI))))
(* r (+ (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* (pow r 2) (PI))))))
(* r (+ (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* (pow r 2) (PI))))))
(* r (+ (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* (pow r 2) (PI))))))
(/ (pow r 2) (* (pow s 3) (PI)))
(/ (pow r 2) (* (pow s 3) (PI)))
(/ (pow r 2) (* (pow s 3) (PI)))
(/ (pow r 2) (* (pow s 3) (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)))))
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/24 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(/ -1/8 (* r (* s (PI))))
(/ -1/8 (* r (* s (PI))))
(/ -1/8 (* r (* s (PI))))
(/ -1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
Outputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* r (* s (PI)))
(*.f32 (*.f32 (PI.f32) s) r)
(* r (* s (PI)))
(*.f32 (*.f32 (PI.f32) s) r)
(* r (* s (PI)))
(*.f32 (*.f32 (PI.f32) s) r)
(* r (* s (PI)))
(*.f32 (*.f32 (PI.f32) s) r)
(* s (PI))
(*.f32 (PI.f32) s)
(* s (PI))
(*.f32 (PI.f32) s)
(* s (PI))
(*.f32 (PI.f32) s)
(* s (PI))
(*.f32 (PI.f32) s)
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (*.f32 r (*.f32 #s(literal -7/324 binary32) r)) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) (pow s 3))
(/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* 5/72 (/ r (PI))) (* 1/4 (/ (pow s 2) (* r (PI))))))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* 5/72 (/ r (PI))) (* 1/4 (/ (pow s 2) (* r (PI))))))) (pow s 3))
(/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s)
(* -7/324 (/ (pow r 2) (* (pow s 4) (PI))))
(*.f32 (*.f32 (/.f32 r (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32)) r)
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) (pow s 4))
(/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))))) (pow s 4))
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(* r (* s (PI)))
(*.f32 (*.f32 (PI.f32) s) r)
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (*.f32 r (*.f32 #s(literal -7/324 binary32) r)) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r)) (/.f32 #s(literal 7/324 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s))) (*.f32 r r))
(* (pow r 2) (- (+ (/ 5/72 (* r (* (pow s 2) (PI)))) (/ 1/4 (* (pow r 3) (PI)))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r r) r) (PI.f32))) (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r)) (/.f32 #s(literal 7/324 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s)))) (*.f32 r r))
(* (pow r 2) (- (+ (/ 5/72 (* r (* (pow s 2) (PI)))) (/ 1/4 (* (pow r 3) (PI)))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r r) r) (PI.f32))) (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r)) (/.f32 #s(literal 7/324 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s)))) (*.f32 r r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -7/324 (/ (pow r 2) (* (pow s 4) (PI))))
(*.f32 (*.f32 (/.f32 r (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32)) r)
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))) (* 7/324 (/ 1 (* (pow s 4) (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s) r)) (/.f32 #s(literal 7/324 binary32) (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32)))) (*.f32 r r))
(* (pow r 2) (- (* -1 (/ (- (* 1/6 (/ 1 (* r (* (pow s 2) (PI))))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 4) (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal -7/324 binary32) (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r) r)) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s) r)))) (*.f32 r r))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 4) (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal -7/324 binary32) (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -5/72 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s)) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r)))) r)) (*.f32 r r))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (*.f32 r (*.f32 #s(literal -7/324 binary32) r)) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r)) (/.f32 #s(literal 7/324 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s))) (*.f32 r r))
(* (pow r 2) (- (* -1 (/ (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) r)) (/.f32 #s(literal -5/72 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r))) (/.f32 #s(literal 7/324 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s))) (*.f32 r r))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal -7/324 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s)) (/.f32 (-.f32 (/.f32 #s(literal -5/72 binary32) (*.f32 (*.f32 s s) (PI.f32))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r r) (PI.f32))) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) r)) (*.f32 r r))
(* 1/1296 (/ (pow r 2) (* s (PI))))
(*.f32 (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) #s(literal 1/1296 binary32))
(* (pow r 2) (- (* 1/1296 (/ 1 (* s (PI)))) (* 1/144 (/ 1 (* r (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/1296 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) r))) (*.f32 r r))
(* (pow r 2) (- (* 1/1296 (/ 1 (* s (PI)))) (* 1/144 (/ 1 (* r (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/1296 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) r))) (*.f32 r r))
(* (pow r 2) (- (* 1/1296 (/ 1 (* s (PI)))) (* 1/144 (/ 1 (* r (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/1296 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) r))) (*.f32 r r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* 1/4 (exp (* -1 (/ r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(* 1/4 (exp (* -1 (/ r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(* 1/4 (exp (* -1 (/ r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(* 1/4 (exp (* -1 (/ r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* 2 (* r (* s (PI))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* 2 (* r (* s (PI))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* 2 (* r (* s (PI))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* 2 (* r (* s (PI))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* 5/72 (/ r (* (pow s 2) (PI))))
(*.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32))
(* r (+ (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* (pow r 2) (PI))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r r) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r)
(* r (+ (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* (pow r 2) (PI))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r r) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r)
(* r (+ (* 5/72 (/ 1 (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* (pow r 2) (PI))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r r) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r)
(/ (pow r 2) (* (pow s 3) (PI)))
(/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s))
(/ (pow r 2) (* (pow s 3) (PI)))
(/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s))
(/ (pow r 2) (* (pow s 3) (PI)))
(/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s))
(/ (pow r 2) (* (pow s 3) (PI)))
(/.f32 (*.f32 r r) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(*.f32 (*.f32 (/.f32 r (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -1/1296 binary32)) r)
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s) r)) (/.f32 #s(literal 1/1296 binary32) (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32)))) (*.f32 r r))
(* (pow r 2) (- (* -1 (/ (- (* 1/24 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal -1/1296 binary32) (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) (-.f32 (/.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r) r)) (/.f32 #s(literal 1/144 binary32) (*.f32 (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s) r)))) (*.f32 r r))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal -1/1296 binary32) (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/144 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s)) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) r)) (/.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r)))) r)) (*.f32 r r))
(/ -1/8 (* r (* s (PI))))
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(/ -1/8 (* r (* s (PI))))
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(/ -1/8 (* r (* s (PI))))
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(/ -1/8 (* r (* s (PI))))
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))

rewrite290.0ms (2.4%)

Memory
9.9MiB live, 289.7MiB allocated
Rules
5 736×lower-*.f64
5 692×lower-*.f32
3 260×lower-fma.f64
3 254×lower-fma.f32
3 178×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089586
0147580
1532541
25164541
08396533
Stop Event
iter limit
node limit
iter limit
Counts
28 → 884
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 r #s(literal 6 binary32)) (*.f32 (PI.f32) 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 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
(fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))
#s(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 -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
(/.f32 (-.f32 (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s)
(-.f32 (fma.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))
(fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (*.f32 #s(literal 3/4 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 3/4 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 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))
(*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
Outputs
(*.f32 (-.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s)))) (pow.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32)) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32))) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))) r)))
(*.f32 (fma.f32 (pow.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32))) #s(literal 3 binary32)) #s(literal 27/64 binary32) (/.f32 (*.f32 #s(literal 1/512 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 (*.f32 (PI.f32) s) r)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32)))) (-.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))))))))
(*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) #s(literal 3/4 binary32)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32)) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) r) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s))))
(/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) #s(literal 3/4 binary32)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32)) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r)) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32)))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32)) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32))) #s(literal -2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))))) (-.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s)))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s)))) (pow.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32)) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32))) #s(literal -2 binary32)))) (neg.f32 (/.f32 (-.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))) r)))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32))) #s(literal 3 binary32)) #s(literal 27/64 binary32) (/.f32 (*.f32 #s(literal 1/512 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 (*.f32 (PI.f32) s) r))))) (neg.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (exp.f32 (+.f32 (/.f32 (neg.f32 r) s) (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32)))) (-.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) #s(literal 3/4 binary32)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32)) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32))))) (neg.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) r) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s))))
(/.f32 (fma.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) r) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (*.f32 (PI.f32) s) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))))) (*.f32 (*.f32 (PI.f32) s) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (fma.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (*.f32 (*.f32 (PI.f32) s) r) (*.f32 r (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))))) (*.f32 r (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (fma.f32 (*.f32 #s(literal -3/4 binary32) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))) (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) r) (PI.f32)) (neg.f32 s)) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))))) (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) r) (PI.f32)) (neg.f32 s)) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (fma.f32 (*.f32 s r) (PI.f32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32)) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32))) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))))) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32)) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (fma.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32)) (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32)) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32)) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) r) #s(literal 1/8 binary32)))) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (PI.f32) s)))
(/.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) r (*.f32 (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))))) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) r))
(/.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) r) (PI.f32)) (neg.f32 s)) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) (*.f32 #s(literal -3/4 binary32) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))))) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) r) (PI.f32)) (neg.f32 s))))
(/.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32)) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32)) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32)))))
(/.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32)))) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32))))
(/.f32 (fma.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) r) #s(literal 1/8 binary32)) r (*.f32 (*.f32 (PI.f32) s) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (fma.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) r) #s(literal 1/8 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) (neg.f32 r)) (*.f32 (*.f32 (PI.f32) s) (*.f32 #s(literal -1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))))) (*.f32 (*.f32 (PI.f32) s) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) (neg.f32 r))))
(/.f32 (fma.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) r) #s(literal 1/8 binary32)) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) s) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)))))
(/.f32 (fma.f32 (*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) r) #s(literal 1/8 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) (*.f32 (*.f32 (PI.f32) s) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 (PI.f32) s) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r)))
(/.f32 (fma.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r (*.f32 r (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))))) (*.f32 r r))
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(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal -8 binary32)))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r))
(/.f32 #s(literal -1/8 binary32) (neg.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r)))
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(pow.f32 (/.f32 r (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) s))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal -8 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal -8 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal -8 binary32))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(*.f32 #s(literal -1/8 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(*.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r)))
(/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 s r))
(/.f32 (neg.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) s))) r)
(/.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (neg.f32 r))
(/.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) s)) (neg.f32 r))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 8 binary32))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal -8 binary32)))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)
(/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))
(/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 8 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal -8 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 8 binary32)))
(/.f32 #s(literal 1/8 binary32) (neg.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r)))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(pow.f32 (/.f32 r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 8 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal -8 binary32))) #s(literal -1 binary32))
(pow.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 8 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 8 binary32))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) r) s) (PI.f32))
(*.f32 (*.f32 s r) (*.f32 #s(literal 6 binary32) (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) r) (PI.f32)) s)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) (*.f32 s r))
(*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32))
(*.f32 (*.f32 (PI.f32) s) (*.f32 #s(literal 6 binary32) r))
(*.f32 (*.f32 #s(literal 6 binary32) r) (*.f32 (PI.f32) s))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(*.f32 (PI.f32) (*.f32 #s(literal 6 binary32) (*.f32 s r)))
(*.f32 (PI.f32) (*.f32 s (*.f32 #s(literal 6 binary32) r)))
(*.f32 s (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r))
(*.f32 s (*.f32 (*.f32 #s(literal 6 binary32) r) (PI.f32)))
(*.f32 r (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s))

eval439.0ms (3.7%)

Memory
-10.3MiB live, 262.0MiB allocated
Compiler

Compiled 79 740 to 3 234 computations (95.9% saved)

prune492.0ms (4.1%)

Memory
-3.8MiB live, 464.9MiB allocated
Pruning

51 alts after pruning (50 fresh and 1 done)

PrunedKeptTotal
New1 862411 903
Fresh10919
Picked415
Done000
Total1 876511 927
Accuracy
99.8%
Counts
1 927 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.1%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) s) (*.f32 (fma.f32 (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) #s(literal 1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) (PI.f32))) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
96.8%
(fma.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
96.8%
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
99.5%
(/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) #s(literal 3/4 binary32)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) (*.f32 #s(literal 6 binary32) (PI.f32)))) (*.f32 s r))
99.5%
(/.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) (*.f32 r (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)))) r) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r))
11.2%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) r))) s)))
11.1%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) #s(literal 1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) r) (*.f32 (*.f32 s s) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) s)))) (*.f32 (*.f32 s s) r))))
11.1%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
11.2%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
11.1%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))) (-.f32 (/.f32 (fma.f32 (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) #s(literal 1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))))
99.6%
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
8.9%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) s)) #s(literal -1/24 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/4 binary32) s)) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
9.3%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) #s(literal 1/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
11.1%
(+.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) s) (*.f32 (fma.f32 (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) #s(literal 1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) (PI.f32))) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
96.9%
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 (neg.f32 r) #s(literal 1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
96.9%
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
11.1%
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/24 binary32) (*.f32 (PI.f32) s))) s)))
11.1%
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)) (*.f32 (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) #s(literal 1/1296 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) s)))
9.6%
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
10.0%
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (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 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))))))
7.9%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
99.6%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) r)))
10.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
9.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
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 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (fma.f32 (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))) s))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s)) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
10.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
10.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
9.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
10.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 7/324 binary32) (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)))) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
99.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s))
10.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) r (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
4.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
3.0%
#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(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (*.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r)) (/.f32 #s(literal 7/324 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s))) (*.f32 r r))) s))
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(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r r) r) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) r)) (/.f32 #s(literal 7/324 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s)))) (*.f32 r r))) s))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 s r)))))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 (fma.f32 (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) s) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
9.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
99.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
Compiler

Compiled 3 100 to 1 889 computations (39.1% saved)

simplify295.0ms (2.5%)

Memory
-11.8MiB live, 174.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
cost-diff0
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
cost-diff160
(*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)
cost-diff224
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
cost-diff0
(-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))
cost-diff0
(/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s)
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
cost-diff352
(fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32)))
cost-diff0
(/.f32 r (*.f32 (*.f32 s s) (PI.f32)))
cost-diff0
(fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))
cost-diff0
(/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) 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-diff64
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
cost-diff64
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r))
cost-diff160
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))
cost-diff768
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
Rules
5 188×lower-*.f64
5 144×lower-*.f32
4 348×lower-fma.f64
4 340×lower-fma.f32
2 536×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01161144
01811142
13361090
28181039
32218977
43627977
55052977
08097942
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r))
(*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
#s(literal 1/8 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
(PI.f32)
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))
(*.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 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))
(*.f32 r #s(literal 6 binary32))
#s(literal 6 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 (*.f32 s r) (PI.f32))
(*.f32 s r)
s
r
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))
(/.f32 r (*.f32 (*.f32 s s) (PI.f32)))
r
(*.f32 (*.f32 s s) (PI.f32))
(*.f32 s s)
s
(PI.f32)
#s(literal -1/6 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
#s(literal 1/4 binary32)
(*.f32 (PI.f32) s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
(/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s)
(-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))
#s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s)))
(/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))
(fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32)))
(fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)))
(*.f32 s (/.f32 s (*.f32 (PI.f32) r)))
s
(/.f32 s (*.f32 (PI.f32) r))
(*.f32 (PI.f32) r)
(PI.f32)
r
#s(literal 1/4 binary32)
(*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))
(/.f32 r (PI.f32))
#s(literal 5/72 binary32)
(*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))
(/.f32 (*.f32 r r) (PI.f32))
(*.f32 r r)
#s(literal -7/324 binary32)
(*.f32 (*.f32 s s) s)
(*.f32 s s)
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))
#s(literal 1/6 binary32)
(*.f32 (PI.f32) s)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s))
(-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s))
(/.f32 #s(literal -1/24 binary32) (PI.f32))
#s(literal -1/24 binary32)
(/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)
#s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r))
(*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)
(fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32)))
(/.f32 r (*.f32 (PI.f32) s))
(*.f32 (PI.f32) s)
#s(literal 1/1296 binary32)
(/.f32 #s(literal -1/144 binary32) (PI.f32))
#s(literal -1/144 binary32)
(*.f32 s s)
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
#s(literal -1/8 binary32)
(*.f32 (*.f32 (PI.f32) s) r)
Outputs
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (+.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (exp.f32 (/.f32 (neg.f32 r) s))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 (*.f32 (PI.f32) s) r)))
(*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32))
#s(literal 1/8 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
(PI.f32)
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
(*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(*.f32 #s(literal 3 binary32) s)
#s(literal 3 binary32)
(*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(*.f32 r #s(literal 6 binary32))
(*.f32 #s(literal 6 binary32) r)
#s(literal 6 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 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) s) r)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
#s(literal 1/4 binary32)
(*.f32 (*.f32 s r) (PI.f32))
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 s r)
s
r
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))
(/.f32 r (*.f32 (*.f32 s s) (PI.f32)))
r
(*.f32 (*.f32 s s) (PI.f32))
(*.f32 s s)
s
(PI.f32)
#s(literal -1/6 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
#s(literal 1/4 binary32)
(*.f32 (PI.f32) s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (/.f32 r (PI.f32)) (fma.f32 #s(literal 5/72 binary32) s (*.f32 #s(literal -7/324 binary32) r)) (*.f32 (*.f32 (*.f32 (/.f32 s (*.f32 (PI.f32) r)) s) #s(literal 1/4 binary32)) s)) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
(/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s)
(/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (/.f32 r (PI.f32)) (fma.f32 #s(literal 5/72 binary32) s (*.f32 #s(literal -7/324 binary32) r)) (*.f32 (*.f32 (*.f32 (/.f32 s (*.f32 (PI.f32) r)) s) #s(literal 1/4 binary32)) s)) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s)
(-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))
(-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (/.f32 r (PI.f32)) (fma.f32 #s(literal 5/72 binary32) s (*.f32 #s(literal -7/324 binary32) r)) (*.f32 (*.f32 (*.f32 (/.f32 s (*.f32 (PI.f32) r)) s) #s(literal 1/4 binary32)) s)) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))
#s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s)))
#s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (/.f32 r (PI.f32)) (fma.f32 #s(literal 5/72 binary32) s (*.f32 #s(literal -7/324 binary32) r)) (*.f32 (*.f32 (*.f32 (/.f32 s (*.f32 (PI.f32) r)) s) #s(literal 1/4 binary32)) s)) (*.f32 (*.f32 s s) s)))
(/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))
(/.f32 (fma.f32 (/.f32 r (PI.f32)) (fma.f32 #s(literal 5/72 binary32) s (*.f32 #s(literal -7/324 binary32) r)) (*.f32 (*.f32 (*.f32 (/.f32 s (*.f32 (PI.f32) r)) s) #s(literal 1/4 binary32)) s)) (*.f32 (*.f32 s s) s))
(fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32)))
(fma.f32 (/.f32 r (PI.f32)) (fma.f32 #s(literal 5/72 binary32) s (*.f32 #s(literal -7/324 binary32) r)) (*.f32 (*.f32 (*.f32 (/.f32 s (*.f32 (PI.f32) r)) s) #s(literal 1/4 binary32)) s))
(fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)))
(fma.f32 (*.f32 (/.f32 s (*.f32 (PI.f32) r)) s) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)))
(*.f32 s (/.f32 s (*.f32 (PI.f32) r)))
(*.f32 (/.f32 s (*.f32 (PI.f32) r)) s)
s
(/.f32 s (*.f32 (PI.f32) r))
(*.f32 (PI.f32) r)
(PI.f32)
r
#s(literal 1/4 binary32)
(*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))
(/.f32 r (PI.f32))
#s(literal 5/72 binary32)
(*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))
(*.f32 (*.f32 (/.f32 r (PI.f32)) r) #s(literal -7/324 binary32))
(/.f32 (*.f32 r r) (PI.f32))
(*.f32 (/.f32 r (PI.f32)) r)
(*.f32 r r)
#s(literal -7/324 binary32)
(*.f32 (*.f32 s s) s)
(*.f32 s s)
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))
#s(literal 1/6 binary32)
(*.f32 (PI.f32) s)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 #s(literal 1/1296 binary32) s) r #s(literal -1/144 binary32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 (*.f32 (PI.f32) s) r)))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 #s(literal 1/1296 binary32) s) r #s(literal -1/144 binary32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 #s(literal 1/1296 binary32) s) r #s(literal -1/144 binary32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s))
(/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 #s(literal 1/1296 binary32) s) r #s(literal -1/144 binary32)))) s)) (*.f32 s s))
(-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s))
(-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 #s(literal 1/1296 binary32) s) r #s(literal -1/144 binary32)))) s))
(/.f32 #s(literal -1/24 binary32) (PI.f32))
#s(literal -1/24 binary32)
(/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)
(/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 #s(literal 1/1296 binary32) s) r #s(literal -1/144 binary32)))) s)
#s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r))
#s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 #s(literal 1/1296 binary32) s) r #s(literal -1/144 binary32))))
(*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)
(*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 #s(literal 1/1296 binary32) s) r #s(literal -1/144 binary32)))
(fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32)))
(/.f32 r (*.f32 (PI.f32) s))
(*.f32 (PI.f32) s)
#s(literal 1/1296 binary32)
(/.f32 #s(literal -1/144 binary32) (PI.f32))
#s(literal -1/144 binary32)
(*.f32 s s)
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
#s(literal -1/8 binary32)
(*.f32 (*.f32 (PI.f32) s) r)

localize428.0ms (3.6%)

Memory
-12.5MiB live, 384.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.34095860241743065
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
accuracy0.8454950972720189
(fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32)))
accuracy0.9185167775779108
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
accuracy28.42383951154371
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
accuracy0.37890625
(/.f32 (*.f32 r r) (PI.f32))
accuracy0.5123825195368841
(*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))
accuracy0.746434478975309
(/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))
accuracy28.653484551627102
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
accuracy0.3046875
(*.f32 (PI.f32) s)
accuracy0.3957114411313284
(fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))
accuracy0.7074799235191639
(/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
accuracy28.982390530619064
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
accuracy0
(PI.f32)
accuracy0.32923985241743065
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))
accuracy0.36556625976844204
(*.f32 (*.f32 s r) (PI.f32))
accuracy29.072719671259797
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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))))
accuracy0.21875
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
accuracy0.2578125
(*.f32 (*.f32 (PI.f32) s) r)
accuracy0.3046875
(*.f32 (PI.f32) s)
accuracy0.3310737793053261
(*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))
Samples
274.0ms256×0valid
Compiler

Compiled 813 to 94 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 207.0ms
ival-mult: 132.0ms (63.6% of total)
ival-div: 35.0ms (16.9% of total)
const: 22.0ms (10.6% of total)
ival-add: 9.0ms (4.3% of total)
ival-exp: 4.0ms (1.9% of total)
ival-sub: 3.0ms (1.4% of total)
ival-pi: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series82.0ms (0.7%)

Memory
39.8MiB live, 188.4MiB allocated
Counts
31 → 684
Calls
Call 1
Inputs
#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) #<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 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) (patch (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (patch (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (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 #s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r) (patch (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) (patch (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) #<representation binary32>) () ())
#s(alt (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (patch (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (patch (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) 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 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s)) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s) (patch (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s) #<representation binary32>) () ())
#s(alt (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (patch (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) #<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 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r) (patch (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (patch (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)) (patch (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) s) (patch (*.f32 (PI.f32) s) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (PI.f32) s) r) (patch (*.f32 (*.f32 (PI.f32) s) r) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s)) (patch (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s)) #<representation binary32>) () ())
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#s(alt (/.f32 (*.f32 r r) (PI.f32)) (patch (/.f32 (*.f32 r r) (PI.f32)) #<representation binary32>) () ())
#s(alt #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) (patch #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) #<representation binary32>) () ())
#s(alt (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (patch (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) (patch (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (patch (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) #<representation binary32>) () ())
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 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) #<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 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) #<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 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) #<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 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) (patch (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) (patch (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) (patch (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) (patch (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (patch (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (patch (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (patch (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (patch (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) #<representation binary32>) () ())) ())
#s(alt (* -1/3 (/ r s)) (taylor 0 s) (#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 (* -1/3 (/ r s)) (taylor 0 s) (#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 (* -1/3 (/ r s)) (taylor 0 s) (#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 (* -1/3 (/ r s)) (taylor 0 s) (#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 (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #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 (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #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 (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #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 (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #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 (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#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 (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#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 (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#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 (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#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 (* r (* s (PI))) (taylor 0 s) (#s(alt (*.f32 (*.f32 s r) (PI.f32)) (patch (*.f32 (*.f32 s r) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (*.f32 (*.f32 s r) (PI.f32)) (patch (*.f32 (*.f32 s r) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (*.f32 (*.f32 s r) (PI.f32)) (patch (*.f32 (*.f32 s r) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (*.f32 (*.f32 s r) (PI.f32)) (patch (*.f32 (*.f32 s r) (PI.f32)) #<representation binary32>) () ())) ())
#s(alt (* r s) (taylor 0 s) (#s(alt (*.f32 s r) (patch (*.f32 s r) #<representation binary32>) () ())) ())
#s(alt (* r s) (taylor 0 s) (#s(alt (*.f32 s r) (patch (*.f32 s r) #<representation binary32>) () ())) ())
#s(alt (* r s) (taylor 0 s) (#s(alt (*.f32 s r) (patch (*.f32 s r) #<representation binary32>) () ())) ())
#s(alt (* r s) (taylor 0 s) (#s(alt (*.f32 s r) (patch (*.f32 s r) #<representation binary32>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
9.0ms
r
@inf
((+ (/ (* 1/8 (exp (/ (neg r) s))) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s))) (/ (* 1/8 (exp (/ (neg r) s))) (* (* (PI) s) r)) (/ (neg r) (* 3 s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* s r) (PI))) (* (* s r) (PI)) (* s r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) r) (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) (/ r (* (* s s) (PI))) (+ (* (+ (* (* s (/ s (* (PI) r))) 1/4) (* (/ r (PI)) 5/72)) s) (* (/ (* r r) (PI)) -7/324)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) s) (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (* (+ (* (/ r (* (PI) s)) 1/1296) (/ -1/144 (PI))) r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* 1/4 (exp (/ (neg r) s))) (* (* r 6) (* (PI) s)) (* (PI) s) (* (* (PI) s) r) (PI) (/ (+ (* (+ (* (* s (/ s (* (PI) r))) 1/4) (* (/ r (PI)) 5/72)) s) (* (/ (* r r) (PI)) -7/324)) (* (* s s) s)) (* (/ r (PI)) 5/72) (/ (* r r) (PI)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (- (/ (- (/ -1/24 (PI)) (/ (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) s)) (* s s)) (/ -1/8 (* (* (PI) s) r))) (+ (* (/ r (* (PI) s)) 1/1296) (/ -1/144 (PI))) (/ -1/8 (* (* (PI) s) r)))
8.0ms
s
@-inf
((+ (/ (* 1/8 (exp (/ (neg r) s))) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s))) (/ (* 1/8 (exp (/ (neg r) s))) (* (* (PI) s) r)) (/ (neg r) (* 3 s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* s r) (PI))) (* (* s r) (PI)) (* s r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) r) (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) (/ r (* (* s s) (PI))) (+ (* (+ (* (* s (/ s (* (PI) r))) 1/4) (* (/ r (PI)) 5/72)) s) (* (/ (* r r) (PI)) -7/324)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) s) (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (* (+ (* (/ r (* (PI) s)) 1/1296) (/ -1/144 (PI))) r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* 1/4 (exp (/ (neg r) s))) (* (* r 6) (* (PI) s)) (* (PI) s) (* (* (PI) s) r) (PI) (/ (+ (* (+ (* (* s (/ s (* (PI) r))) 1/4) (* (/ r (PI)) 5/72)) s) (* (/ (* r r) (PI)) -7/324)) (* (* s s) s)) (* (/ r (PI)) 5/72) (/ (* r r) (PI)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (- (/ (- (/ -1/24 (PI)) (/ (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) s)) (* s s)) (/ -1/8 (* (* (PI) s) r))) (+ (* (/ r (* (PI) s)) 1/1296) (/ -1/144 (PI))) (/ -1/8 (* (* (PI) s) r)))
7.0ms
r
@-inf
((+ (/ (* 1/8 (exp (/ (neg r) s))) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s))) (/ (* 1/8 (exp (/ (neg r) s))) (* (* (PI) s) r)) (/ (neg r) (* 3 s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* s r) (PI))) (* (* s r) (PI)) (* s r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) r) (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) (/ r (* (* s s) (PI))) (+ (* (+ (* (* s (/ s (* (PI) r))) 1/4) (* (/ r (PI)) 5/72)) s) (* (/ (* r r) (PI)) -7/324)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) s) (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (* (+ (* (/ r (* (PI) s)) 1/1296) (/ -1/144 (PI))) r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* 1/4 (exp (/ (neg r) s))) (* (* r 6) (* (PI) s)) (* (PI) s) (* (* (PI) s) r) (PI) (/ (+ (* (+ (* (* s (/ s (* (PI) r))) 1/4) (* (/ r (PI)) 5/72)) s) (* (/ (* r r) (PI)) -7/324)) (* (* s s) s)) (* (/ r (PI)) 5/72) (/ (* r r) (PI)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (- (/ (- (/ -1/24 (PI)) (/ (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) s)) (* s s)) (/ -1/8 (* (* (PI) s) r))) (+ (* (/ r (* (PI) s)) 1/1296) (/ -1/144 (PI))) (/ -1/8 (* (* (PI) s) r)))
5.0ms
r
@0
((+ (/ (* 1/8 (exp (/ (neg r) s))) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s))) (/ (* 1/8 (exp (/ (neg r) s))) (* (* (PI) s) r)) (/ (neg r) (* 3 s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* s r) (PI))) (* (* s r) (PI)) (* s r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) r) (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) (/ r (* (* s s) (PI))) (+ (* (+ (* (* s (/ s (* (PI) r))) 1/4) (* (/ r (PI)) 5/72)) s) (* (/ (* r r) (PI)) -7/324)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) s) (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (* (+ (* (/ r (* (PI) s)) 1/1296) (/ -1/144 (PI))) r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* 1/4 (exp (/ (neg r) s))) (* (* r 6) (* (PI) s)) (* (PI) s) (* (* (PI) s) r) (PI) (/ (+ (* (+ (* (* s (/ s (* (PI) r))) 1/4) (* (/ r (PI)) 5/72)) s) (* (/ (* r r) (PI)) -7/324)) (* (* s s) s)) (* (/ r (PI)) 5/72) (/ (* r r) (PI)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (- (/ (- (/ -1/24 (PI)) (/ (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) s)) (* s s)) (/ -1/8 (* (* (PI) s) r))) (+ (* (/ r (* (PI) s)) 1/1296) (/ -1/144 (PI))) (/ -1/8 (* (* (PI) s) r)))
5.0ms
s
@0
((+ (/ (* 1/8 (exp (/ (neg r) s))) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s)))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s))) (/ (* 1/8 (exp (/ (neg r) s))) (* (* (PI) s) r)) (/ (neg r) (* 3 s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* s r) (PI))) (* (* s r) (PI)) (* s r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) r) (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) (/ r (* (* s s) (PI))) (+ (* (+ (* (* s (/ s (* (PI) r))) 1/4) (* (/ r (PI)) 5/72)) s) (* (/ (* r r) (PI)) -7/324)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) s) (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (* (+ (* (/ r (* (PI) s)) 1/1296) (/ -1/144 (PI))) r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* 1/4 (exp (/ (neg r) s))) (* (* r 6) (* (PI) s)) (* (PI) s) (* (* (PI) s) r) (PI) (/ (+ (* (+ (* (* s (/ s (* (PI) r))) 1/4) (* (/ r (PI)) 5/72)) s) (* (/ (* r r) (PI)) -7/324)) (* (* s s) s)) (* (/ r (PI)) 5/72) (/ (* r r) (PI)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (- (/ (- (/ -1/24 (PI)) (/ (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) s)) (* s s)) (/ -1/8 (* (* (PI) s) r))) (+ (* (/ r (* (PI) s)) 1/1296) (/ -1/144 (PI))) (/ -1/8 (* (* (PI) s) r)))

simplify234.0ms (2%)

Memory
-32.4MiB live, 252.8MiB allocated
Algorithm
egg-herbie
Rules
8 760×lower-fma.f64
8 760×lower-fma.f32
5 798×lower-*.f64
5 798×lower-*.f32
3 496×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05899779
118009424
253319368
081939114
Stop Event
iter limit
node limit
Counts
684 → 684
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)
(* 1/8 (/ (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 (/ 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)))))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r 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)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 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)
(* r s)
(* r s)
(* r 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)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ -1/6 (* (pow s 2) (PI)))
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(/ (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))) (pow s 2))
(/ (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))) (pow s 2))
(* -1/6 (/ r (* (pow s 2) (PI))))
(/ (+ (* -1/6 (/ r (PI))) (* 1/4 (/ s (PI)))) (pow s 2))
(/ (+ (* -1/6 (/ r (PI))) (* 1/4 (/ s (PI)))) (pow s 2))
(/ (+ (* -1/6 (/ r (PI))) (* 1/4 (/ s (PI)))) (pow s 2))
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(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
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(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) (pow s 4))
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(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))))) (pow s 4))
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(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) (pow s 3))
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(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))))) (pow s 3))
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(/ (+ (* -1/144 (/ (* r s) (PI))) (* 1/1296 (/ (pow r 2) (PI)))) s)
(/ (+ (* -1/144 (/ (* r s) (PI))) (* 1/1296 (/ (pow r 2) (PI)))) s)
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(*.f32 (-.f32 (/.f32 #s(literal -7/324 binary32) (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -5/72 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r r) s) (PI.f32))) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r)))) r)) (*.f32 r r))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(*.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r)) (/.f32 #s(literal 7/324 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) (*.f32 r r))
(* (pow r 2) (- (* -1 (/ (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal -7/324 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 r r) s) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r)))) (*.f32 r r))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal -7/324 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -5/72 binary32) (*.f32 (*.f32 s s) (PI.f32))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r r) (PI.f32))) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) r)) (*.f32 r r))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/1296 (/ (pow r 2) (* s (PI))))
(*.f32 (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) #s(literal 1/1296 binary32))
(* (pow r 2) (- (* 1/1296 (/ 1 (* s (PI)))) (* 1/144 (/ 1 (* r (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/1296 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) r))) (*.f32 r r))
(* (pow r 2) (- (* 1/1296 (/ 1 (* s (PI)))) (* 1/144 (/ 1 (* r (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/1296 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) r))) (*.f32 r r))
(* (pow r 2) (- (* 1/1296 (/ 1 (* s (PI)))) (* 1/144 (/ 1 (* r (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/1296 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) r))) (*.f32 r r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* 1/4 (exp (* -1 (/ r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(* 1/4 (exp (* -1 (/ r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(* 1/4 (exp (* -1 (/ r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(* 1/4 (exp (* -1 (/ r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* r (* s (PI)))
(*.f32 (*.f32 (PI.f32) s) r)
(* r (* s (PI)))
(*.f32 (*.f32 (PI.f32) s) r)
(* r (* s (PI)))
(*.f32 (*.f32 (PI.f32) s) r)
(* r (* s (PI)))
(*.f32 (*.f32 (PI.f32) s) r)
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(*.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r)) (/.f32 #s(literal 7/324 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) (*.f32 r r))
(* (pow r 2) (- (+ (/ 5/72 (* r (* (pow s 2) (PI)))) (/ 1/4 (* (pow r 3) (PI)))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r r) r) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r))) (/.f32 #s(literal 7/324 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) (*.f32 r r))
(* (pow r 2) (- (+ (/ 5/72 (* r (* (pow s 2) (PI)))) (/ 1/4 (* (pow r 3) (PI)))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r r) r) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r))) (/.f32 #s(literal 7/324 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) (*.f32 r r))
(* 5/72 (/ r (PI)))
(*.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))
(* 5/72 (/ r (PI)))
(*.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))
(* 5/72 (/ r (PI)))
(*.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))
(* 5/72 (/ r (PI)))
(*.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))
(/ (pow r 2) (PI))
(*.f32 r (/.f32 r (PI.f32)))
(/ (pow r 2) (PI))
(*.f32 r (/.f32 r (PI.f32)))
(/ (pow r 2) (PI))
(*.f32 r (/.f32 r (PI.f32)))
(/ (pow r 2) (PI))
(*.f32 r (/.f32 r (PI.f32)))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(*.f32 (*.f32 (/.f32 r (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -1/1296 binary32)) r)
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)) r)) (/.f32 #s(literal 1/1296 binary32) (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32)))) (*.f32 r r))
(* (pow r 2) (- (* -1 (/ (- (* 1/24 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal -1/1296 binary32) (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) (-.f32 (/.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 (*.f32 (*.f32 r r) s) s) (PI.f32))) (/.f32 #s(literal 1/144 binary32) (*.f32 (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)) r)))) (*.f32 r r))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal -1/1296 binary32) (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/144 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 r r) s) (PI.f32))) (/.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r)))) r)) (*.f32 r r))
(* 1/1296 (/ r (* s (PI))))
(*.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32))
(* -1 (* r (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI)))))))
(*.f32 (neg.f32 r) (-.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/1296 binary32) (*.f32 (PI.f32) s))))
(* -1 (* r (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI)))))))
(*.f32 (neg.f32 r) (-.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/1296 binary32) (*.f32 (PI.f32) s))))
(* -1 (* r (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI)))))))
(*.f32 (neg.f32 r) (-.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/1296 binary32) (*.f32 (PI.f32) s))))
(/ -1/8 (* r (* s (PI))))
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(/ -1/8 (* r (* s (PI))))
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(/ -1/8 (* r (* s (PI))))
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(/ -1/8 (* r (* s (PI))))
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))

rewrite374.0ms (3.1%)

Memory
16.8MiB live, 491.9MiB allocated
Rules
5 378×lower-*.f64
5 334×lower-*.f32
4 074×lower-/.f64
4 032×lower-/.f32
3 460×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116762
0181746
1680707
26700707
08384693
Stop Event
iter limit
node limit
iter limit
Counts
31 → 861
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 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 (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))
(/.f32 r (*.f32 (*.f32 s s) (PI.f32)))
(fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
(/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s)
(-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) 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 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (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 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))
(*.f32 (PI.f32) s)
(*.f32 (*.f32 (PI.f32) s) r)
(PI.f32)
(/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))
(*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))
(/.f32 (*.f32 r r) (PI.f32))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32)))
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
Outputs
(*.f32 (-.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)) (pow.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 3/4 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))) r)))
(*.f32 (fma.f32 #s(literal 1/512 binary32) (pow.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 3/4 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 3/4 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) (-.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 3/4 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) (pow.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)))))
(*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #s(literal 3/4 binary32)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) r) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s))))
(*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 3/4 binary32)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) r) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s))))
(/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #s(literal 3/4 binary32)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 3/4 binary32)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))))) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (-.f32 (pow.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 3/4 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32))) (-.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 3/4 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)) (pow.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 3/4 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) #s(literal 2 binary32)))) (neg.f32 (/.f32 (-.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))) r)))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/512 binary32) (pow.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 3/4 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 3/4 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) (-.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 3/4 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) (pow.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #s(literal 3/4 binary32)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))) (neg.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) r) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s))))
(/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 3/4 binary32)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))) (neg.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) r) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s))))
(/.f32 (fma.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r) (*.f32 r (*.f32 #s(literal -1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))))) (*.f32 r (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r)))
(/.f32 (fma.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (*.f32 (*.f32 (PI.f32) s) r) (*.f32 r (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)))) (*.f32 r (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (fma.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) r)) (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r) (*.f32 (*.f32 (PI.f32) s) (*.f32 #s(literal -1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))))) (*.f32 (*.f32 (PI.f32) s) (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r)))
(/.f32 (fma.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) r)) (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (*.f32 (PI.f32) s) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)))) (*.f32 (*.f32 (PI.f32) s) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (fma.f32 (*.f32 #s(literal -3/4 binary32) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))) (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r) (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) r) (PI.f32)) (neg.f32 s)) (*.f32 #s(literal -1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))))) (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) r) (PI.f32)) (neg.f32 s)) (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r)))
(/.f32 (fma.f32 (*.f32 #s(literal -3/4 binary32) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))) (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) r) (PI.f32)) (neg.f32 s)) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)))) (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) r) (PI.f32)) (neg.f32 s)) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (+.f32 r (*.f32 (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))))) (*.f32 (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32))) r))
(/.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r) (*.f32 (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32))) (*.f32 #s(literal -1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))))) (*.f32 (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32))) (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r)))
(/.f32 (fma.f32 (*.f32 (PI.f32) r) s (*.f32 (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)))) (*.f32 (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (fma.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32)) (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r) (*.f32 (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal -1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))))) (*.f32 (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r)))
(/.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) r (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r) r))
(/.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) r)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r) (*.f32 (PI.f32) s)))
(/.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) r) (PI.f32)) (neg.f32 s)) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r) (*.f32 #s(literal -3/4 binary32) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) r) (PI.f32)) (neg.f32 s))))
(/.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r) #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r) (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32)))))
(/.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32)))) (*.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(/.f32 (+.f32 r (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32))) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))))) (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32))) r))
(/.f32 (fma.f32 (PI.f32) s (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32))) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) r)))) (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32))) (*.f32 (PI.f32) s)))
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) r (*.f32 (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))))) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) r))
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (PI.f32) s) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) r)))) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (PI.f32) s)))
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) r) (PI.f32)) (neg.f32 s)) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) (*.f32 #s(literal -3/4 binary32) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))))) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) r) (PI.f32)) (neg.f32 s))))
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32)))))
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r (*.f32 r (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))))) (*.f32 r r))
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (*.f32 (PI.f32) s) (*.f32 r (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) r)))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) r) (PI.f32)) (neg.f32 s)) (*.f32 r (*.f32 #s(literal -3/4 binary32) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))))) (*.f32 r (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) r) (PI.f32)) (neg.f32 s))))
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eval289.0ms (2.4%)

Memory
8.0MiB live, 670.6MiB allocated
Compiler

Compiled 80 324 to 5 322 computations (93.4% saved)

prune369.0ms (3.1%)

Memory
21.5MiB live, 1 100.3MiB allocated
Pruning

60 alts after pruning (57 fresh and 3 done)

PrunedKeptTotal
New1 965281 993
Fresh162945
Picked325
Done011
Total1 984602 044
Accuracy
99.9%
Counts
2 044 → 60
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.1%
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) s (*.f32 (neg.f32 (PI.f32)) #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 #s(literal 1/1296 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)))) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
11.0%
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (*.f32 s r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) s (*.f32 (neg.f32 (PI.f32)) #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 #s(literal 1/1296 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)))) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
96.8%
(fma.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
96.8%
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
99.5%
(/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) #s(literal 3/4 binary32)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) (*.f32 #s(literal 6 binary32) (PI.f32)))) (*.f32 s r))
99.5%
(/.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) (*.f32 r (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)))) r) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r))
11.1%
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
11.1%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 #s(literal 1/1296 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r)) (*.f32 (*.f32 s s) #s(literal 1/8 binary32))) (*.f32 (*.f32 s s) (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r)))))
11.1%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 #s(literal 1/1296 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) r) (*.f32 (*.f32 s s) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) s)))) (*.f32 (*.f32 s s) r))))
11.1%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) r) s)))))
11.2%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 #s(approx (+ (* (/ r (* (PI) s)) 1/1296) (/ -1/144 (PI))) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
99.6%
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 (neg.f32 r) #s(literal 1/3 binary32)) s))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
99.6%
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) s))))
99.6%
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
11.2%
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s))) (/.f32 (-.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/24 binary32) (*.f32 (PI.f32) s))) s)))
11.2%
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s))) (/.f32 (+.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) s)))
9.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
10.0%
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s))) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))))))
9.3%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) #s(literal 1/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
7.9%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
99.6%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) r)))
10.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
9.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))))) r))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (fma.f32 (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))) s))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s)) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
10.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
10.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) s))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(approx (+ (* (+ (* (* s (/ s (* (PI) r))) 1/4) (* (/ r (PI)) 5/72)) s) (* (/ (* r r) (PI)) -7/324)) (*.f32 (fma.f32 (*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 (*.f32 r r) r) (PI.f32)))) #s(literal 1/4 binary32) (fma.f32 #s(literal 5/72 binary32) (/.f32 s (*.f32 (PI.f32) r)) (/.f32 #s(literal -7/324 binary32) (PI.f32)))) (*.f32 r r))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
9.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
10.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 7/324 binary32) (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)))) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
99.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s))
10.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) r (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s))
4.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
3.0%
#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(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (*.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r)) (/.f32 #s(literal 7/324 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s))) (*.f32 r r))) s))
9.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) (/.f32 (fma.f32 (/.f32 s (PI.f32)) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/6 binary32))) (*.f32 s s))) r))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #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 (/.f32 (fma.f32 (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) s) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
9.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 (/.f32 s (*.f32 (PI.f32) r)) s) #s(literal 1/4 binary32) (*.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) s (*.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (PI.f32)) r))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
99.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
9.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) r) (/.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
Compiler

Compiled 3 403 to 2 062 computations (39.4% saved)

simplify128.0ms (1.1%)

Memory
-1.1MiB live, 155.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32))
cost-diff0
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
cost-diff64
(/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r))
cost-diff160
(*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)
cost-diff0
(/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s)
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s))
cost-diff160
(*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)
cost-diff352
(fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32)))
cost-diff0
#s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))
cost-diff0
(-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))
cost-diff0
(/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s)
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
cost-diff0
(*.f32 (PI.f32) r)
cost-diff0
(*.f32 (*.f32 (PI.f32) r) s)
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
cost-diff0
(*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
cost-diff64
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r))
cost-diff160
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))
cost-diff768
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
Rules
5 206×lower-fma.f64
5 198×lower-fma.f32
4 660×lower-*.f64
4 628×lower-*.f32
2 230×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131189
01731189
13371140
28481089
325141035
441191014
562791014
08167968
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r))
(*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
#s(literal 1/8 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
(PI.f32)
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))
(/.f32 r (*.f32 #s(literal -3 binary32) s))
(*.f32 #s(literal -3 binary32) s)
#s(literal -3 binary32)
(*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))
(*.f32 r #s(literal 6 binary32))
#s(literal 6 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))
#s(literal 1/4 binary32)
(*.f32 (*.f32 (PI.f32) r) s)
(*.f32 (PI.f32) r)
(PI.f32)
r
s
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
(/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s)
(-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))
#s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))
#s(literal 1/4 binary32)
(*.f32 (PI.f32) r)
(PI.f32)
r
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))
#s(literal 1/6 binary32)
(*.f32 (PI.f32) s)
s
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s))
(/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s)
#s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s)))
(/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))
(fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32)))
(fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s))
#s(literal 5/72 binary32)
(/.f32 r (PI.f32))
r
(PI.f32)
(*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)
(fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32)))
(/.f32 s (*.f32 (PI.f32) r))
s
(*.f32 (PI.f32) r)
#s(literal 1/4 binary32)
(/.f32 #s(literal -1/6 binary32) (PI.f32))
#s(literal -1/6 binary32)
(*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))
(*.f32 r (/.f32 r (PI.f32)))
#s(literal -7/324 binary32)
(*.f32 (*.f32 s s) s)
(*.f32 s s)
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
(/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
#s(literal 1/8 binary32)
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
(PI.f32)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s))
(-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s))
(/.f32 #s(literal -1/24 binary32) (PI.f32))
#s(literal -1/24 binary32)
(/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)
#s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r))
(*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)
(fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32)))
(/.f32 r (*.f32 (PI.f32) s))
#s(literal 1/1296 binary32)
(/.f32 #s(literal -1/144 binary32) (PI.f32))
#s(literal -1/144 binary32)
(*.f32 s s)
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
#s(literal -1/8 binary32)
Outputs
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (+.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (exp.f32 (/.f32 (neg.f32 r) s))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 (*.f32 (PI.f32) s) r)))
(*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32))
#s(literal 1/8 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
(PI.f32)
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))
(*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) #s(literal 3/4 binary32))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))
(/.f32 r (*.f32 #s(literal -3 binary32) s))
(*.f32 #s(literal -3 binary32) s)
#s(literal -3 binary32)
(*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(*.f32 r #s(literal 6 binary32))
(*.f32 #s(literal 6 binary32) r)
#s(literal 6 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
#s(literal 1/4 binary32)
(*.f32 (*.f32 (PI.f32) r) s)
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) r)
(PI.f32)
r
s
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
(/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s)
(-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))
#s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))
#s(literal 1/4 binary32)
(*.f32 (PI.f32) r)
(PI.f32)
r
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))
#s(literal 1/6 binary32)
(*.f32 (PI.f32) s)
s
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (*.f32 (/.f32 s (PI.f32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) r) s #s(literal -1/6 binary32))) s (*.f32 (/.f32 r (PI.f32)) (fma.f32 #s(literal 5/72 binary32) s (*.f32 #s(literal -7/324 binary32) r)))) (*.f32 (*.f32 s s) s))) s))
(/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s)
(/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (*.f32 (/.f32 s (PI.f32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) r) s #s(literal -1/6 binary32))) s (*.f32 (/.f32 r (PI.f32)) (fma.f32 #s(literal 5/72 binary32) s (*.f32 #s(literal -7/324 binary32) r)))) (*.f32 (*.f32 s s) s))) s)
#s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s)))
#s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (*.f32 (/.f32 s (PI.f32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) r) s #s(literal -1/6 binary32))) s (*.f32 (/.f32 r (PI.f32)) (fma.f32 #s(literal 5/72 binary32) s (*.f32 #s(literal -7/324 binary32) r)))) (*.f32 (*.f32 s s) s)))
(/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))
(/.f32 (fma.f32 (*.f32 (/.f32 s (PI.f32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) r) s #s(literal -1/6 binary32))) s (*.f32 (/.f32 r (PI.f32)) (fma.f32 #s(literal 5/72 binary32) s (*.f32 #s(literal -7/324 binary32) r)))) (*.f32 (*.f32 s s) s))
(fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32)))
(fma.f32 (*.f32 (/.f32 s (PI.f32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) r) s #s(literal -1/6 binary32))) s (*.f32 (/.f32 r (PI.f32)) (fma.f32 #s(literal 5/72 binary32) s (*.f32 #s(literal -7/324 binary32) r))))
(fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s))
(fma.f32 (/.f32 #s(literal 5/72 binary32) (PI.f32)) r (*.f32 (/.f32 s (PI.f32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) r) s #s(literal -1/6 binary32))))
#s(literal 5/72 binary32)
(/.f32 r (PI.f32))
r
(PI.f32)
(*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)
(*.f32 (/.f32 s (PI.f32)) (fma.f32 (/.f32 #s(literal 1/4 binary32) r) s #s(literal -1/6 binary32)))
(fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32)))
(/.f32 s (*.f32 (PI.f32) r))
s
(*.f32 (PI.f32) r)
#s(literal 1/4 binary32)
(/.f32 #s(literal -1/6 binary32) (PI.f32))
#s(literal -1/6 binary32)
(*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))
(*.f32 (*.f32 (/.f32 r (PI.f32)) r) #s(literal -7/324 binary32))
(*.f32 r (/.f32 r (PI.f32)))
(*.f32 (/.f32 r (PI.f32)) r)
#s(literal -7/324 binary32)
(*.f32 (*.f32 s s) s)
(*.f32 s s)
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 #s(literal 1/1296 binary32) s) r #s(literal -1/144 binary32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
(/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 (*.f32 (PI.f32) s) r)))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
#s(literal 1/8 binary32)
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
(PI.f32)
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 #s(literal 1/1296 binary32) s) r #s(literal -1/144 binary32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 #s(literal 1/1296 binary32) s) r #s(literal -1/144 binary32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s))
(/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 #s(literal 1/1296 binary32) s) r #s(literal -1/144 binary32)))) s)) (*.f32 s s))
(-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s))
(-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 #s(literal 1/1296 binary32) s) r #s(literal -1/144 binary32)))) s))
(/.f32 #s(literal -1/24 binary32) (PI.f32))
#s(literal -1/24 binary32)
(/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)
(/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 #s(literal 1/1296 binary32) s) r #s(literal -1/144 binary32)))) s)
#s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r))
#s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 #s(literal 1/1296 binary32) s) r #s(literal -1/144 binary32))))
(*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)
(*.f32 (/.f32 r (PI.f32)) (fma.f32 (/.f32 #s(literal 1/1296 binary32) s) r #s(literal -1/144 binary32)))
(fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32)))
(/.f32 r (*.f32 (PI.f32) s))
#s(literal 1/1296 binary32)
(/.f32 #s(literal -1/144 binary32) (PI.f32))
#s(literal -1/144 binary32)
(*.f32 s s)
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
#s(literal -1/8 binary32)

localize258.0ms (2.2%)

Memory
12.9MiB live, 372.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.34095860241743065
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
accuracy0.8454950972720189
(fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32)))
accuracy0.9185167775779108
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
accuracy28.42383951154371
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
accuracy0.33203125
(*.f32 (PI.f32) r)
accuracy0.4889450195368841
(fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s))
accuracy0.722996978975309
(/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))
accuracy28.653484551627102
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s))
accuracy0.33203125
(*.f32 (PI.f32) r)
accuracy0.37109375
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))
accuracy28.653484551627102
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
accuracy29.447110785081083
#s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))
accuracy0.2890625
(*.f32 (*.f32 (PI.f32) r) s)
accuracy0.32923985241743065
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))
accuracy0.33203125
(*.f32 (PI.f32) r)
accuracy29.072719671259797
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
accuracy0.21875
(/.f32 r (*.f32 #s(literal -3 binary32) s))
accuracy0.2578125
(*.f32 (*.f32 (PI.f32) s) r)
accuracy0.3046875
(*.f32 (PI.f32) s)
accuracy0.3310737793053261
(*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))
Samples
187.0ms256×0valid
Compiler

Compiled 837 to 98 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 131.0ms
ival-mult: 52.0ms (39.8% of total)
ival-div: 37.0ms (28.3% of total)
const: 19.0ms (14.5% of total)
ival-add: 10.0ms (7.7% of total)
ival-exp: 5.0ms (3.8% of total)
ival-sub: 3.0ms (2.3% of total)
ival-pi: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series83.0ms (0.7%)

Memory
-24.7MiB live, 131.2MiB allocated
Counts
31 → 708
Calls
Call 1
Inputs
#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) (patch (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (patch (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (patch (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (PI.f32) r) s) (patch (*.f32 (*.f32 (PI.f32) r) s) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) r) (patch (*.f32 (PI.f32) r) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) 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 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s)) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s) (patch (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s) #<representation binary32>) () ())
#s(alt (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (patch (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) #<representation binary32>) () ())
#s(alt #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (patch #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (patch (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) (patch (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s)) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s)) #<representation binary32>) () ())
#s(alt (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s) (patch (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s) #<representation binary32>) () ())
#s(alt (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r) (patch (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)) (patch (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))) (patch (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))) #<representation binary32>) () ())
#s(alt (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (patch (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)) (patch (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) s) (patch (*.f32 (PI.f32) s) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (PI.f32) s) r) (patch (*.f32 (*.f32 (PI.f32) s) r) #<representation binary32>) () ())
#s(alt (/.f32 r (*.f32 #s(literal -3 binary32) s)) (patch (/.f32 r (*.f32 #s(literal -3 binary32) s)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) (patch (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s)) (patch (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) (patch (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) #<representation binary32>) () ())
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#s(alt (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) (patch (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) #<representation binary32>) () ())
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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 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) #<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 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) #<representation binary32>) () ())) ())
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#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 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) (patch (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) (patch (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) (patch (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) (patch (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (patch (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (patch (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (patch (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI))))) (taylor 0 s) (#s(alt (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (patch (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (exp (* -1 (/ r s)))) (taylor 0 s) (#s(alt (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (patch (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (exp (* -1 (/ r s)))) (taylor 0 s) (#s(alt (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (patch (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (exp (* -1 (/ r s)))) (taylor 0 s) (#s(alt (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (patch (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (exp (* -1 (/ r s)))) (taylor 0 s) (#s(alt (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (patch (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (PI.f32) r) s) (patch (*.f32 (*.f32 (PI.f32) r) s) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (PI.f32) r) s) (patch (*.f32 (*.f32 (PI.f32) r) s) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (PI.f32) r) s) (patch (*.f32 (*.f32 (PI.f32) r) s) #<representation binary32>) () ())) ())
#s(alt (* r (* s (PI))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (PI.f32) r) s) (patch (*.f32 (*.f32 (PI.f32) r) s) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) 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 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s)) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s) (taylor 0 s) (#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) 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 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s)) #<representation binary32>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
12.0ms
s
@0
((+ (/ (* 1/8 (exp (/ (neg r) s))) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* r 6) (* (PI) s)))) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* r 6) (* (PI) s))) (/ (* 1/8 (exp (/ (neg r) s))) (* (* (PI) s) r)) (* 1/8 (exp (/ (neg r) s))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* (PI) r) s)) (* (* (PI) r) s) (* (PI) r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) s) (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (+ (* (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) s) (* (* r (/ r (PI))) -7/324)) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) s) (* (+ (* (/ r (* (PI) s)) 1/1296) (/ -1/144 (PI))) r) (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (+ (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* (exp (/ (neg r) s)) 1/8) (* (* r 6) (* (PI) s)) (* (PI) s) (* (* (PI) s) r) (/ r (* -3 s)) (/ 1/6 (* (PI) s)) (/ (+ (* (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) s) (* (* r (/ r (PI))) -7/324)) (* (* s s) s)) (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (- (/ (- (/ -1/24 (PI)) (/ (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) s)) (* s s)) (/ -1/8 (* (* (PI) s) r))) (+ (* (/ r (* (PI) s)) 1/1296) (/ -1/144 (PI))) (/ -1/8 (* (* (PI) s) r)))
7.0ms
r
@-inf
((+ (/ (* 1/8 (exp (/ (neg r) s))) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* r 6) (* (PI) s)))) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* r 6) (* (PI) s))) (/ (* 1/8 (exp (/ (neg r) s))) (* (* (PI) s) r)) (* 1/8 (exp (/ (neg r) s))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* (PI) r) s)) (* (* (PI) r) s) (* (PI) r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) s) (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (+ (* (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) s) (* (* r (/ r (PI))) -7/324)) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) s) (* (+ (* (/ r (* (PI) s)) 1/1296) (/ -1/144 (PI))) r) (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (+ (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* (exp (/ (neg r) s)) 1/8) (* (* r 6) (* (PI) s)) (* (PI) s) (* (* (PI) s) r) (/ r (* -3 s)) (/ 1/6 (* (PI) s)) (/ (+ (* (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) s) (* (* r (/ r (PI))) -7/324)) (* (* s s) s)) (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (- (/ (- (/ -1/24 (PI)) (/ (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) s)) (* s s)) (/ -1/8 (* (* (PI) s) r))) (+ (* (/ r (* (PI) s)) 1/1296) (/ -1/144 (PI))) (/ -1/8 (* (* (PI) s) r)))
5.0ms
r
@inf
((+ (/ (* 1/8 (exp (/ (neg r) s))) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* r 6) (* (PI) s)))) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* r 6) (* (PI) s))) (/ (* 1/8 (exp (/ (neg r) s))) (* (* (PI) s) r)) (* 1/8 (exp (/ (neg r) s))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* (PI) r) s)) (* (* (PI) r) s) (* (PI) r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) s) (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (+ (* (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) s) (* (* r (/ r (PI))) -7/324)) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) s) (* (+ (* (/ r (* (PI) s)) 1/1296) (/ -1/144 (PI))) r) (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (+ (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* (exp (/ (neg r) s)) 1/8) (* (* r 6) (* (PI) s)) (* (PI) s) (* (* (PI) s) r) (/ r (* -3 s)) (/ 1/6 (* (PI) s)) (/ (+ (* (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) s) (* (* r (/ r (PI))) -7/324)) (* (* s s) s)) (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (- (/ (- (/ -1/24 (PI)) (/ (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) s)) (* s s)) (/ -1/8 (* (* (PI) s) r))) (+ (* (/ r (* (PI) s)) 1/1296) (/ -1/144 (PI))) (/ -1/8 (* (* (PI) s) r)))
4.0ms
s
@-inf
((+ (/ (* 1/8 (exp (/ (neg r) s))) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* r 6) (* (PI) s)))) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* r 6) (* (PI) s))) (/ (* 1/8 (exp (/ (neg r) s))) (* (* (PI) s) r)) (* 1/8 (exp (/ (neg r) s))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* (PI) r) s)) (* (* (PI) r) s) (* (PI) r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) s) (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (+ (* (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) s) (* (* r (/ r (PI))) -7/324)) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) s) (* (+ (* (/ r (* (PI) s)) 1/1296) (/ -1/144 (PI))) r) (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (+ (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* (exp (/ (neg r) s)) 1/8) (* (* r 6) (* (PI) s)) (* (PI) s) (* (* (PI) s) r) (/ r (* -3 s)) (/ 1/6 (* (PI) s)) (/ (+ (* (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) s) (* (* r (/ r (PI))) -7/324)) (* (* s s) s)) (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (- (/ (- (/ -1/24 (PI)) (/ (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) s)) (* s s)) (/ -1/8 (* (* (PI) s) r))) (+ (* (/ r (* (PI) s)) 1/1296) (/ -1/144 (PI))) (/ -1/8 (* (* (PI) s) r)))
4.0ms
s
@inf
((+ (/ (* 1/8 (exp (/ (neg r) s))) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* r 6) (* (PI) s)))) (/ (* 3/4 (exp (/ r (* -3 s)))) (* (* r 6) (* (PI) s))) (/ (* 1/8 (exp (/ (neg r) s))) (* (* (PI) s) r)) (* 1/8 (exp (/ (neg r) s))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* (PI) r) s)) (* (* (PI) r) s) (* (PI) r) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) s) (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (+ (* (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) s) (* (* r (/ r (PI))) -7/324)) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) s) (* (+ (* (/ r (* (PI) s)) 1/1296) (/ -1/144 (PI))) r) (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (+ (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (* (exp (/ (neg r) s)) 1/8) (* (* r 6) (* (PI) s)) (* (PI) s) (* (* (PI) s) r) (/ r (* -3 s)) (/ 1/6 (* (PI) s)) (/ (+ (* (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) s) (* (* r (/ r (PI))) -7/324)) (* (* s s) s)) (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (- (/ (- (/ -1/24 (PI)) (/ (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) s)) (* s s)) (/ -1/8 (* (* (PI) s) r))) (+ (* (/ r (* (PI) s)) 1/1296) (/ -1/144 (PI))) (/ -1/8 (* (* (PI) s) r)))

simplify271.0ms (2.3%)

Memory
17.9MiB live, 254.0MiB allocated
Algorithm
egg-herbie
Rules
9 606×lower-fma.f64
9 606×lower-fma.f32
6 022×lower-*.f64
6 022×lower-*.f32
2 660×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062510961
1190310525
2562510449
0804810133
Stop Event
iter limit
node limit
Counts
708 → 708
Calls
Call 1
Inputs
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(/ (+ (* 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 (* -1/3 (/ r s))) (* r (* s (PI)))))
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(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
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(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
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(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
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(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))))) (pow s 4))
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(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* 5/72 (/ r (PI))) (* 1/4 (/ (pow s 2) (* r (PI))))))) (pow s 3))
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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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(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))))) (pow s 4))
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(/ (+ (* -1/144 (/ (* r s) (PI))) (* 1/1296 (/ (pow r 2) (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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1/8
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1/8
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(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) r) #s(literal 1/8 binary32))
(* 1/8 (exp (* -1 (/ r s))))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32))
(* 1/8 (exp (* -1 (/ r s))))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32))
(* 1/8 (exp (* -1 (/ r s))))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32))
(* 1/8 (exp (* -1 (/ r s))))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* r (* s (PI)))
(*.f32 (*.f32 (PI.f32) s) r)
(* r (* s (PI)))
(*.f32 (*.f32 (PI.f32) s) r)
(* r (* s (PI)))
(*.f32 (*.f32 (PI.f32) s) r)
(* r (* s (PI)))
(*.f32 (*.f32 (PI.f32) s) r)
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/.f32 (*.f32 r (*.f32 #s(literal -7/324 binary32) r)) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) r) (PI.f32))) (/.f32 #s(literal 7/324 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s))) (*.f32 r r))
(* (pow r 2) (- (* -1 (/ (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal -7/324 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s)) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) r)) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) r) (PI.f32))))) (*.f32 r r))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal -7/324 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s)) (/.f32 (-.f32 (/.f32 #s(literal -5/72 binary32) (*.f32 (*.f32 s s) (PI.f32))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r r) (PI.f32))) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) r)) (*.f32 r r))
(* 5/72 (/ r (PI)))
(*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))
(* -1 (* r (- (* 1/6 (/ s (* r (PI)))) (* 5/72 (/ 1 (PI))))))
(*.f32 (neg.f32 r) (fma.f32 #s(literal 1/6 binary32) (/.f32 s (*.f32 (PI.f32) r)) (/.f32 #s(literal -5/72 binary32) (PI.f32))))
(* -1 (* r (- (* -1 (/ (+ (* -1/6 (/ s (PI))) (* 1/4 (/ (pow s 2) (* r (PI))))) r)) (* 5/72 (/ 1 (PI))))))
(*.f32 (+.f32 (/.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 s (PI.f32)) #s(literal -1/6 binary32))) r) (/.f32 #s(literal 5/72 binary32) (PI.f32))) r)
(* -1 (* r (- (* -1 (/ (+ (* -1/6 (/ s (PI))) (* 1/4 (/ (pow s 2) (* r (PI))))) r)) (* 5/72 (/ 1 (PI))))))
(*.f32 (+.f32 (/.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 s (PI.f32)) #s(literal -1/6 binary32))) r) (/.f32 #s(literal 5/72 binary32) (PI.f32))) r)
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32))
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(*.f32 (*.f32 (/.f32 r (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -1/1296 binary32)) r)
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (*.f32 (*.f32 (*.f32 s s) r) s) (PI.f32))) (/.f32 #s(literal 1/1296 binary32) (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32)))) (*.f32 r r))
(* (pow r 2) (- (* -1 (/ (- (* 1/24 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal -1/1296 binary32) (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) (-.f32 (/.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 r (*.f32 (*.f32 s s) r)) (PI.f32))) (/.f32 #s(literal 1/144 binary32) (*.f32 (*.f32 (*.f32 (*.f32 s s) r) s) (PI.f32))))) (*.f32 r r))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(*.f32 (-.f32 (/.f32 #s(literal -1/1296 binary32) (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/144 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s)) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) r)) (/.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 (*.f32 s s) r) (PI.f32))))) r)) (*.f32 r r))
(* 1/1296 (/ r (* s (PI))))
(*.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32))
(* -1 (* r (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI)))))))
(*.f32 (neg.f32 r) (-.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/1296 binary32) (*.f32 (PI.f32) s))))
(* -1 (* r (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI)))))))
(*.f32 (neg.f32 r) (-.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/1296 binary32) (*.f32 (PI.f32) s))))
(* -1 (* r (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI)))))))
(*.f32 (neg.f32 r) (-.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/1296 binary32) (*.f32 (PI.f32) s))))
(/ -1/8 (* r (* s (PI))))
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(/ -1/8 (* r (* s (PI))))
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(/ -1/8 (* r (* s (PI))))
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(/ -1/8 (* r (* s (PI))))
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))

rewrite293.0ms (2.5%)

Memory
15.3MiB live, 287.3MiB allocated
Rules
4 898×lower-*.f64
4 866×lower-*.f32
4 030×lower-/.f64
3 992×lower-/.f32
3 718×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113841
0173823
1699789
27153789
08188769
Stop Event
iter limit
node limit
iter limit
Counts
31 → 742
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r))
(*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))
(*.f32 (*.f32 (PI.f32) r) s)
(*.f32 (PI.f32) r)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
(/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s)
(-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))
#s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))
(fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32)))
(*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s))
(/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s)
(*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)
(/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r))
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32))
(*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))
(*.f32 (PI.f32) s)
(*.f32 (*.f32 (PI.f32) s) r)
(/.f32 r (*.f32 #s(literal -3 binary32) s))
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))
(/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))
(fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32)))
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
Outputs
(*.f32 (-.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 2 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 3/4 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))) r)))
(*.f32 (fma.f32 #s(literal 27/64 binary32) (pow.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 3/4 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) (-.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 3/4 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s)))) (pow.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 2 binary32)))))
(*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 3/4 binary32)) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) r) (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) s))))
(*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) #s(literal 3/4 binary32)) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) r) (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) s))))
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eval192.0ms (1.6%)

Memory
41.2MiB live, 414.5MiB allocated
Compiler

Compiled 64 836 to 3 440 computations (94.7% saved)

prune329.0ms (2.8%)

Memory
-46.0MiB live, 701.0MiB allocated
Pruning

70 alts after pruning (65 fresh and 5 done)

PrunedKeptTotal
New1 624321 656
Fresh193352
Picked325
Done033
Total1 646701 716
Accuracy
99.9%
Counts
1 716 → 70
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.1%
(fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 1/8 binary32) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) s (*.f32 (neg.f32 (PI.f32)) #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 #s(literal 1/1296 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)))) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
96.8%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) s)) (/.f32 #s(literal 3/4 binary32) r) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))))
96.9%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))))
96.9%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3/4 binary32) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))))
96.9%
(fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1 binary32) r) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))))
96.8%
(fma.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
96.8%
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
56.7%
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 3/4 binary32)) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) r) (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) s)))
99.5%
(/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) #s(literal 3/4 binary32)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) (*.f32 #s(literal 6 binary32) (PI.f32)))) (*.f32 s r))
99.5%
(/.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) (*.f32 r (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)))) r) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r))
11.2%
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 1/144 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/24 binary32) (*.f32 (PI.f32) s))) s)))
11.1%
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 #s(literal 1/1296 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) r) (*.f32 (*.f32 s s) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) s)))) (*.f32 (*.f32 s s) r))))
11.2%
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) s)))
9.7%
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
11.2%
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 #s(approx (+ (* (/ r (* (PI) s)) 1/1296) (/ -1/144 (PI))) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
10.0%
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (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 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))))))
11.1%
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 (PI.f32) s) s)) (-.f32 (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 #s(literal 1/1296 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))))
11.1%
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) r) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
99.6%
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
7.9%
(+.f32 (/.f32 #s(approx (* (exp (/ (neg r) s)) 1/8) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
9.3%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) #s(literal 1/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
99.6%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) r)))
8.9%
#s(approx (+ (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s)) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
10.6%
#s(approx (+ (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
99.6%
#s(approx (+ (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s))
9.3%
#s(approx (+ (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
10.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
9.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))))) r))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (fma.f32 (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))) s))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
10.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) s))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(approx (+ (* (+ (* (* s (/ s (* (PI) r))) 1/4) (* (/ r (PI)) 5/72)) s) (* (/ (* r r) (PI)) -7/324)) (*.f32 (fma.f32 (*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 (*.f32 r r) r) (PI.f32)))) #s(literal 1/4 binary32) (fma.f32 #s(literal 5/72 binary32) (/.f32 s (*.f32 (PI.f32) r)) (/.f32 #s(literal -7/324 binary32) (PI.f32)))) (*.f32 r r))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
9.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
10.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 7/324 binary32) (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)))) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s))
10.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) r (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
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(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) #s(approx (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s) (*.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32)))) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (/.f32 r (PI.f32)) (*.f32 r #s(literal -7/324 binary32)) (*.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s)) (*.f32 (*.f32 s s) s))) s))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (/.f32 (fma.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 (/.f32 r (PI.f32)) r) #s(literal -7/324 binary32))) s) (*.f32 s s))) s))
4.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (*.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -7/324 binary32) (*.f32 (/.f32 s (PI.f32)) #s(literal 5/72 binary32))) r) (*.f32 (*.f32 s s) s))) s))
4.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 #s(approx (+ (* (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) s) (* (* r (/ r (PI))) -7/324)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 5/72 binary32) (/.f32 #s(literal -7/324 binary32) (PI.f32))) (*.f32 r r))) (*.f32 (*.f32 s s) s))) s))
10.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 #s(approx (+ (* (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) s) (* (* r (/ r (PI))) -7/324)) (*.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (*.f32 r r) (PI.f32)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 (*.f32 r r) r) (PI.f32)))) #s(literal 1/4 binary32) (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 5/72 binary32) (/.f32 #s(literal -7/324 binary32) (PI.f32))))) (*.f32 r r))) (*.f32 (*.f32 s s) s))) s))
8.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 #s(approx (+ (* (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) s) (* (* r (/ r (PI))) -7/324)) (*.f32 (*.f32 s (*.f32 s (/.f32 s (*.f32 (PI.f32) r)))) #s(literal 1/4 binary32))) (*.f32 (*.f32 s s) s))) s))
3.0%
#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(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (*.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r)) (/.f32 #s(literal 7/324 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s))) (*.f32 r r))) s))
9.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) (/.f32 (fma.f32 (/.f32 s (PI.f32)) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/6 binary32))) (*.f32 s s))) r))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #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 (/.f32 (fma.f32 (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) s) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
9.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 (/.f32 r (PI.f32)) r) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s)))))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1 binary32) s)))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
99.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
9.4%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) r) (/.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
Compiler

Compiled 5 711 to 1 703 computations (70.2% saved)

regimes108.0ms (0.9%)

Memory
2.9MiB live, 157.0MiB allocated
Counts
126 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (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 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) r) (/.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))))
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(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 #s(literal 1/1296 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) r) (*.f32 (*.f32 s s) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) s)))) (*.f32 (*.f32 s s) r))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 #s(literal 1/1296 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) r) (*.f32 (*.f32 s s) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) s)))) (*.f32 (*.f32 s s) r))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) #s(literal 1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) r) (*.f32 (*.f32 s s) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) s)))) (*.f32 (*.f32 s s) r))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 #s(literal 1/1296 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r)) (*.f32 (*.f32 s s) #s(literal 1/8 binary32))) (*.f32 (*.f32 s s) (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/8 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s))
#s(approx (+ (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s))
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3/4 binary32) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))))
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.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) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 (neg.f32 r) #s(literal 1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 (neg.f32 r) #s(literal 1/3 binary32)) s))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1 binary32) r) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) r) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) s)) (/.f32 #s(literal 3/4 binary32) r) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (/.f32 (neg.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 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal 3/4 binary32)) #s(literal 1/6 binary32)) (*.f32 (PI.f32) (*.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 r #s(literal 6 binary32)) (*.f32 (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)) (/.f32 (*.f32 #s(literal 3/4 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 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 3/4 binary32)) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) r) r) (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) s)))
(/.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) (*.f32 r (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)))) r) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r))
(/.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) #s(literal 3/4 binary32)) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) (*.f32 #s(literal 6 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32)) s))))
Outputs
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
Calls

3 calls:

37.0ms
r
35.0ms
s
28.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
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)

regimes100.0ms (0.8%)

Memory
0.3MiB live, 157.1MiB allocated
Counts
110 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
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(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)) (*.f32 (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) #s(literal 1/1296 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))) (-.f32 (/.f32 (fma.f32 (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) #s(literal 1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))))
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 #s(literal 1/1296 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) r) (*.f32 (*.f32 s s) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) s)))) (*.f32 (*.f32 s s) r))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 #s(literal 1/1296 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) r) (*.f32 (*.f32 s s) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) s)))) (*.f32 (*.f32 s s) r))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) #s(literal 1/1296 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) r) (*.f32 (*.f32 s s) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) s)))) (*.f32 (*.f32 s s) r))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 #s(literal 1/1296 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r)) (*.f32 (*.f32 s s) #s(literal 1/8 binary32))) (*.f32 (*.f32 s s) (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/8 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s))
#s(approx (+ (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 (PI.f32) r)) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r))) #s(literal 1/8 binary32)) s))
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3/4 binary32) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))))
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Outputs
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) r)))
Calls

3 calls:

37.0ms
s
31.0ms
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
99.6%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)

regimes84.0ms (0.7%)

Memory
31.0MiB live, 144.8MiB allocated
Counts
100 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (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 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) r) (/.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) (/.f32 (fma.f32 (/.f32 s (PI.f32)) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/6 binary32))) (*.f32 s s))) r))
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(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 #s(literal 1/1296 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r)) (*.f32 (*.f32 s s) #s(literal 1/8 binary32))) (*.f32 (*.f32 s s) (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r)))))
Outputs
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s))) (/.f32 (+.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) s)))
Calls

3 calls:

28.0ms
r
27.0ms
s
23.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
11.2%1s
11.2%1r
11.2%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes65.0ms (0.5%)

Memory
0.3MiB live, 117.9MiB allocated
Counts
75 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (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 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) r) (/.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) (/.f32 (fma.f32 (/.f32 s (PI.f32)) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/6 binary32))) (*.f32 s s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 #s(approx (+ (* (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) s) (* (* r (/ r (PI))) -7/324)) (*.f32 (*.f32 s (*.f32 s (/.f32 s (*.f32 (PI.f32) r)))) #s(literal 1/4 binary32))) (*.f32 (*.f32 s s) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (*.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -7/324 binary32) (*.f32 (/.f32 s (PI.f32)) #s(literal 5/72 binary32))) r) (*.f32 (*.f32 s s) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 #s(approx (+ (* (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) s) (* (* r (/ r (PI))) -7/324)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 5/72 binary32) (/.f32 #s(literal -7/324 binary32) (PI.f32))) (*.f32 r r))) (*.f32 (*.f32 s s) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (*.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r)) (/.f32 #s(literal 7/324 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s))) (*.f32 r r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) r (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
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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 (fma.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s)) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s)) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 7/324 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 7/324 binary32) (*.f32 r (/.f32 r (*.f32 (PI.f32) s))) (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)))) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(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 -7/324 binary32) (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) s)) (fma.f32 (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.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(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (/.f32 r (PI.f32)) (*.f32 r #s(literal -7/324 binary32)) (*.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s)) (*.f32 (*.f32 s s) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 (fma.f32 (*.f32 (/.f32 r (*.f32 (*.f32 (*.f32 s s) s) (PI.f32))) r) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))) s) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 (/.f32 r (PI.f32)) r) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (/.f32 (fma.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) s (*.f32 (*.f32 (/.f32 r (PI.f32)) r) #s(literal -7/324 binary32))) s) (*.f32 s s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 (/.f32 s (*.f32 (PI.f32) r)) s) #s(literal 1/4 binary32) (*.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) s (*.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (PI.f32)) r))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
(+.f32 (/.f32 #s(approx (* (exp (/ (neg r) s)) 1/8) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r r) r) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) r)) (/.f32 #s(literal 7/324 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s)))) (*.f32 r r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(approx (+ (* (+ (* (* s (/ s (* (PI) r))) 1/4) (* (/ r (PI)) 5/72)) s) (* (/ (* r r) (PI)) -7/324)) (*.f32 (fma.f32 (*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 (*.f32 r r) r) (PI.f32)))) #s(literal 1/4 binary32) (fma.f32 #s(literal 5/72 binary32) (/.f32 s (*.f32 (PI.f32) r)) (/.f32 #s(literal -7/324 binary32) (PI.f32)))) (*.f32 r r))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 #s(approx (+ (* (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) s) (* (* r (/ r (PI))) -7/324)) (*.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (*.f32 r r) (PI.f32)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 (*.f32 r r) r) (PI.f32)))) #s(literal 1/4 binary32) (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 5/72 binary32) (/.f32 #s(literal -7/324 binary32) (PI.f32))))) (*.f32 r r))) (*.f32 (*.f32 s s) s))) s))
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) #s(literal 1/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (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 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s))) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))))))
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (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 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) r (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/24 binary32) (*.f32 (PI.f32) s))) s)))
Outputs
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/24 binary32) (*.f32 (PI.f32) s))) s)))
Calls

3 calls:

21.0ms
r
21.0ms
s
16.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
11.1%1r
11.1%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
11.1%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes113.0ms (0.9%)

Memory
-21.6MiB live, 95.1MiB allocated
Counts
74 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 (/.f32 s (*.f32 (PI.f32) r)) s) #s(literal 1/4 binary32) (*.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) s (*.f32 #s(literal -7/324 binary32) (*.f32 (/.f32 r (PI.f32)) r))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
(+.f32 (/.f32 #s(approx (* (exp (/ (neg r) s)) 1/8) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 #s(approx (+ (* 1/1296 (* (/ r (* (PI) s)) r)) (* -1/144 (/ r (PI)))) (*.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/1296 binary32) (/.f32 #s(literal -1/144 binary32) (PI.f32))) r)) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/1296 binary32) (*.f32 (/.f32 r (*.f32 (PI.f32) s)) r) (*.f32 #s(literal -1/144 binary32) (/.f32 r (PI.f32)))) s)) (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r r) r) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) s) r) r)) (/.f32 #s(literal 7/324 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s)))) (*.f32 r r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(approx (+ (* (+ (* (* s (/ s (* (PI) r))) 1/4) (* (/ r (PI)) 5/72)) s) (* (/ (* r r) (PI)) -7/324)) (*.f32 (fma.f32 (*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 (*.f32 r r) r) (PI.f32)))) #s(literal 1/4 binary32) (fma.f32 #s(literal 5/72 binary32) (/.f32 s (*.f32 (PI.f32) r)) (/.f32 #s(literal -7/324 binary32) (PI.f32)))) (*.f32 r r))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 (fma.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (PI.f32) r))) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 #s(approx (+ (* (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) s) (* (* r (/ r (PI))) -7/324)) (*.f32 (fma.f32 (*.f32 s (/.f32 s (*.f32 (*.f32 r r) (PI.f32)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 s s) (/.f32 s (*.f32 (*.f32 (*.f32 r r) r) (PI.f32)))) #s(literal 1/4 binary32) (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 5/72 binary32) (/.f32 #s(literal -7/324 binary32) (PI.f32))))) (*.f32 r r))) (*.f32 (*.f32 s s) s))) s))
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) #s(literal 1/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (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 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s))) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))))))
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (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 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (-.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) s) (PI.f32)))) r (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) r (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
Calls

3 calls:

69.0ms
r
22.0ms
s
16.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
10.6%1r
10.6%1s
10.6%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)

regimes36.0ms (0.3%)

Memory
29.1MiB live, 65.8MiB allocated
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (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 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) r) (/.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) (/.f32 (fma.f32 (/.f32 s (PI.f32)) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/6 binary32))) (*.f32 s s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 #s(approx (+ (* (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) s) (* (* r (/ r (PI))) -7/324)) (*.f32 (*.f32 s (*.f32 s (/.f32 s (*.f32 (PI.f32) r)))) #s(literal 1/4 binary32))) (*.f32 (*.f32 s s) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (*.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -7/324 binary32) (*.f32 (/.f32 s (PI.f32)) #s(literal 5/72 binary32))) r) (*.f32 (*.f32 s s) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 #s(approx (+ (* (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) s) (* (* r (/ r (PI))) -7/324)) (*.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 5/72 binary32) (/.f32 #s(literal -7/324 binary32) (PI.f32))) (*.f32 r r))) (*.f32 (*.f32 s s) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 (*.f32 s s) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (*.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) r)) (/.f32 #s(literal 7/324 binary32) (*.f32 (*.f32 (*.f32 s s) (PI.f32)) s))) (*.f32 r r))) s))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
Calls

3 calls:

14.0ms
s
11.0ms
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
10.6%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)))
10.6%1s
10.6%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes35.0ms (0.3%)

Memory
-26.8MiB live, 55.0MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (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 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) r) (/.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) (/.f32 (fma.f32 (/.f32 s (PI.f32)) #s(literal 1/4 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/6 binary32))) (*.f32 s s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 #s(approx (+ (* (+ (* 5/72 (/ r (PI))) (* (+ (* (/ s (* (PI) r)) 1/4) (/ -1/6 (PI))) s)) s) (* (* r (/ r (PI))) -7/324)) (*.f32 (*.f32 s (*.f32 s (/.f32 s (*.f32 (PI.f32) r)))) #s(literal 1/4 binary32))) (*.f32 (*.f32 s s) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) s) (*.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (*.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -7/324 binary32) (*.f32 (/.f32 s (PI.f32)) #s(literal 5/72 binary32))) r) (*.f32 (*.f32 s 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))) #s(approx (/ (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) r) (/.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
Calls

3 calls:

13.0ms
r
13.0ms
s
8.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
9.4%1s
9.4%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)))
9.4%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes23.0ms (0.2%)

Memory
14.6MiB live, 52.8MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (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 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
Calls

3 calls:

8.0ms
s
7.0ms
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
9.4%1r
9.4%1s
9.4%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes22.0ms (0.2%)

Memory
8.2MiB live, 46.4MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (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 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
Calls

3 calls:

8.0ms
r
7.0ms
s
6.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
9.3%1s
9.3%1r
9.3%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes16.0ms (0.1%)

Memory
-0.6MiB live, 37.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1 binary32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
Calls

3 calls:

5.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
5.0ms
r
5.0ms
s
Results
AccuracySegmentsBranch
9.1%1s
9.1%1r
9.1%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify46.0ms (0.4%)

Memory
-30.4MiB live, 16.3MiB allocated
Algorithm
egg-herbie
Rules
56×*-commutative_binary32
46×+-commutative_binary32
36×sub-neg_binary32
28×neg-sub0_binary32
28×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136542
1168542
2200542
3238542
4259542
5268542
6269542
Stop Event
saturated
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s))) (/.f32 (+.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) s)))
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/24 binary32) (*.f32 (PI.f32) s))) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) r (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) r) (/.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
Outputs
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))))
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))) #s(literal 3/4 binary32)) (*.f32 (*.f32 #s(literal 6 binary32) r) (*.f32 (PI.f32) s))) (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) r)))
(*.f32 (+.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s))) (/.f32 (+.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) s)))
(+.f32 #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* r 6) (* (PI) s))) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (fma.f32 #s(literal 1/144 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 (PI.f32) s)))) s)) (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)))
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/24 binary32) (*.f32 (PI.f32) s))) s)))
(+.f32 #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/24 binary32) (*.f32 (PI.f32) s))) s)) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (exp.f32 (/.f32 (neg.f32 r) s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (- (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/ 1/6 (* (PI) s))) (/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32))) r (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) r (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/4 binary32) (*.f32 (PI.f32) r))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ r (* (* s s) (PI))) -1/6) (/ 1/4 (* (PI) s))) r) (/.f32 (fma.f32 (/.f32 s (*.f32 (PI.f32) r)) #s(literal 1/4 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 #s(approx (+ (* -7/324 (* (/ r (* (* (* s s) s) (PI))) r)) (+ (* 5/72 (/ r (* (* s s) (PI)))) (/ 1/4 (* (PI) r)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))

soundness1.5s (12.5%)

Memory
11.0MiB live, 965.8MiB allocated
Rules
14 624×lower-fma.f64
14 624×lower-fma.f32
10 782×lower-fma.f64
10 782×lower-fma.f32
8 760×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0116762
0181746
1680707
26700707
08384693
02590
04390
114279
2131271
0945671
089586
0147580
1532541
25164541
08396533
02421900
17561845
221131788
359521788
082271755
05309482
116149127
246258954
081118735
05899779
118009424
253319368
081939114
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 624 to 311 computations (50.2% saved)

preprocess118.0ms (1%)

Memory
8.3MiB live, 119.9MiB allocated
Compiler

Compiled 532 to 212 computations (60.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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