Disney BSSRDF, PDF of scattering profile

Time bar (total: 14.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze61.0ms (0.4%)

Memory
13.0MiB live, 130.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%2.1%97.9%0%0%0%0
0%0%2.1%97.9%0%0%0%1
0%0%2.1%97.9%0%0%0%2
25%0.5%1.5%97.9%0%0%0%3
37.5%0.8%1.3%97.9%0%0%0%4
56.2%1.2%0.9%97.9%0%0%0%5
65.6%1.3%0.7%97.9%0%0%0%6
76.6%1.6%0.5%97.9%0%0%0%7
82%1.7%0.4%97.9%0%0%0%8
87.9%1.8%0.2%97.9%0%0%0%9
90.8%1.9%0.2%97.9%0%0%0%10
93.8%1.9%0.1%97.9%0%0%0%11
95.4%2%0.1%97.9%0%0%0%12
Compiler

Compiled 49 to 37 computations (24.5% saved)

sample2.4s (16.6%)

Memory
78.4MiB live, 3 029.2MiB allocated
Samples
1.8s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-mult: 588.0ms (38.8% of total)
ival-div: 290.0ms (19.1% of total)
ival-exp: 187.0ms (12.3% of total)
const: 140.0ms (9.2% of total)
ival-add: 79.0ms (5.2% of total)
ival-neg: 62.0ms (4.1% of total)
ival-<=: 44.0ms (2.9% of total)
ival-pi: 37.0ms (2.4% of total)
ival-<: 33.0ms (2.2% of total)
exact: 30.0ms (2% of total)
ival-and: 22.0ms (1.5% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain303.0ms (2.1%)

Memory
-13.9MiB live, 472.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
19(3.328082254228093e-9 2.7006569780496648e-6)1(4.400644293411915e-9 1.1097442893515108e-6)(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
10-1(2.3198548660730012e-5 0.0023760306648910046)(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
00-0-(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
00-0-(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
00-0-(PI.f32)
00-0-#s(literal 2 binary32)
00-0-(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
00-0-(*.f32 #s(literal 6 binary32) (PI.f32))
00-0-(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
00-0-(neg.f32 r)
00-0-s
00-0-(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
00-0-(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
00-0-#s(literal 3/4 binary32)
00-0-(/.f32 (neg.f32 r) s)
00-0-#s(literal 1/4 binary32)
011(4.400644293411915e-9 1.1097442893515108e-6)0-(exp.f32 (/.f32 (neg.f32 r) s))
00-0-(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
00-0-(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
00-0-(*.f32 #s(literal 3 binary32) s)
00-0-(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
00-0-#s(literal 6 binary32)
00-0-r
00-0-#s(literal 3 binary32)
00-0-(*.f32 #s(literal 2 binary32) (PI.f32))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 (neg.f32 r) s))sensitivity112
exp.f32(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))sensitivity94
Confusion
Predicted +Predicted -
+10
-12243
Precision
0.07692307692307693
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-122241
Precision?
0.06666666666666667
Recall?
1.0
Freqs
test
numberfreq
0243
16
27
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
89.0ms512×0valid
Compiler

Compiled 331 to 79 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 40.0ms (58.8% of total)
ival-div: 13.0ms (19.1% of total)
ival-exp: 7.0ms (10.3% of total)
ival-pi: 2.0ms (2.9% of total)
ival-add: 2.0ms (2.9% of total)
ival-neg: 2.0ms (2.9% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess275.0ms (1.9%)

Memory
16.6MiB live, 288.9MiB allocated
Algorithm
1×egg-herbie
Rules
5 478×lower-/.f64
5 470×lower-/.f32
5 136×lower-*.f64
5 118×lower-*.f32
2 504×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

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

Compiled 35 to 25 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Memory
-36.6MiB live, 2.4MiB 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)

simplify246.0ms (1.7%)

Memory
38.9MiB live, 232.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 3 (0.0ms)

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

localize134.0ms (0.9%)

Memory
-38.7MiB live, 128.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.2421875
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
accuracy0.2578125
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
accuracy0.28515625
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
accuracy0.30859375
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
Samples
108.0ms256×0valid
Compiler

Compiled 148 to 27 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-mult: 55.0ms (59.4% of total)
ival-div: 30.0ms (32.4% of total)
ival-exp: 4.0ms (4.3% of total)
ival-pi: 1.0ms (1.1% of total)
ival-add: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series32.0ms (0.2%)

Memory
18.4MiB live, 63.0MiB allocated
Counts
7 → 156
Calls
Call 1
Inputs
#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (patch (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) (patch (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) #<representation binary32>) () ())
#s(alt (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)) (patch (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) (patch (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())
Outputs
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 r) (#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r) (taylor 0 r) (#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r) (taylor 0 r) (#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (patch (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #<representation binary32>) () ())) ())
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#s(alt (* 2 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 2 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf s) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor 0 r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
#s(alt (* 6 (* r (* s (PI)))) (taylor -inf r) (#s(alt (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (patch (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) #<representation binary32>) () ())) ())
Calls

39 calls:

TimeVariablePointExpression
6.0ms
s
@0
(* (* (* 2 (PI)) s) r)
3.0ms
s
@0
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
3.0ms
r
@inf
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
2.0ms
r
@-inf
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
1.0ms
r
@0
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))

simplify247.0ms (1.7%)

Memory
-2.3MiB live, 416.1MiB allocated
Algorithm
1×egg-herbie
Rules
14 624×lower-fma.f64
14 624×lower-fma.f32
5 362×lower-*.f64
5 362×lower-*.f32
2 476×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite349.0ms (2.4%)

Memory
12.5MiB live, 472.0MiB 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
1×iter limit
1×node limit
1×iter limit
Counts
7 → 546
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
Outputs
(neg.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (neg.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))))
(neg.f32 (fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (neg.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))))
(neg.f32 (/.f32 (fma.f32 r (*.f32 (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))) (*.f32 (*.f32 s (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r)) (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))))))
(neg.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3 binary32))) (neg.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32))))))
(neg.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32))) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (neg.f32 r))))
(neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))) (*.f32 (*.f32 s (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r)) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)))) (*.f32 (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))) (*.f32 r (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 3 binary32)))) (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32)))))
(neg.f32 (/.f32 (+.f32 (neg.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32))) (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32))) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) r)))
(+.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32)) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) r)) (neg.f32 (/.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 2 binary32)) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) r))))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (neg.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal -1/4 binary32)) (neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
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(neg.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))
(neg.f32 (*.f32 (/.f32 #s(literal 1/3 binary32) s) r))
(exp.f32 (*.f32 (log.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32)))) #s(literal -1 binary32)))
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(+.f32 (*.f32 (/.f32 #s(literal 1/3 binary32) s) #s(literal 0 binary32)) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(pow.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32))) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1/3 binary32) s) #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(-.f32 #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal 3 binary32))))
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(/.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32))
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(/.f32 (/.f32 #s(literal 1/3 binary32) s) (/.f32 #s(literal -1 binary32) r))
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(/.f32 #s(literal -1 binary32) (/.f32 (*.f32 s #s(literal 3 binary32)) r))
(/.f32 (/.f32 r s) #s(literal -3 binary32))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(/.f32 #s(literal 1/3 binary32) (/.f32 s (neg.f32 r)))
(/.f32 (*.f32 r #s(literal 1/3 binary32)) (neg.f32 s))
(/.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 3 binary32) r))
(/.f32 #s(literal -1/3 binary32) (/.f32 s r))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))) (/.f32 r (*.f32 s #s(literal 3 binary32))) (*.f32 #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal 3 binary32)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))) (/.f32 r (*.f32 s #s(literal 3 binary32))))) (+.f32 #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal 3 binary32)))))
(/.f32 (/.f32 r #s(literal -1 binary32)) (*.f32 s #s(literal 3 binary32)))
(/.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) #s(literal -1 binary32)) s)
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(*.f32 (neg.f32 r) (/.f32 #s(literal 1/3 binary32) s))
(*.f32 (/.f32 r (neg.f32 s)) #s(literal 1/3 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(*.f32 (/.f32 #s(literal 1/3 binary32) s) (neg.f32 r))
(*.f32 (/.f32 #s(literal 1/3 binary32) s) (pow.f32 (/.f32 #s(literal -1 binary32) r) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 r #s(literal -1/3 binary32)))
(*.f32 #s(literal -1 binary32) (/.f32 r (*.f32 s #s(literal 3 binary32))))
(*.f32 (*.f32 r #s(literal -1/3 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 #s(literal 1/3 binary32) (/.f32 r (neg.f32 s)))
(*.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 r #s(literal 1/3 binary32)))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(*.f32 (pow.f32 (*.f32 s #s(literal -1 binary32)) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 3 binary32) r) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32))) #s(literal -1/2 binary32)))
(*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) s))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(*.f32 (*.f32 s #s(literal 2 binary32)) (PI.f32))
(neg.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))
(-.f32 #s(literal 0 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))
(/.f32 (*.f32 s (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(/.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))) #s(literal -1 binary32))
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(*.f32 (*.f32 s (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r)) #s(literal 1 binary32))
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(*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 r s))
(*.f32 (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))) r)
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(*.f32 #s(literal -1 binary32) (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))))
(*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal 6 binary32)))
(*.f32 (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))) (neg.f32 r))
(*.f32 (*.f32 (PI.f32) #s(literal -6 binary32)) (*.f32 (neg.f32 r) s))
(*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 s (PI.f32)))
(*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) s)
(*.f32 (neg.f32 (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))) r)
(*.f32 (neg.f32 (*.f32 (PI.f32) #s(literal -6 binary32))) (*.f32 r s))

eval102.0ms (0.7%)

Memory
-29.2MiB live, 130.7MiB allocated
Compiler

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

prune138.0ms (1%)

Memory
26.7MiB live, 273.4MiB allocated
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New67725702
Fresh000
Picked101
Done000
Total67825703
Accuracy
99.8%
Counts
703 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
▶98.0%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
98.5%
(fma.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
98.4%
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
62.1%
(/.f32 (fma.f32 (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal -1/4 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))) (*.f32 (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))) (*.f32 r (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))))
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 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
99.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal -1 binary32))))
8.2%
(+.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 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
7.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
▶8.2%
(+.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 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
7.6%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
8.1%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32)) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
7.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))))
6.8%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
▶99.6%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
5.4%
#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 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
7.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
6.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
▶5.9%
#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 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
99.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
▶7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
7.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
6.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
99.5%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
Compiler

Compiled 1 594 to 1 016 computations (36.3% saved)

simplify215.0ms (1.5%)

Memory
4.1MiB live, 316.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (PI.f32) (*.f32 r s))
cost-diff0
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))
cost-diff64
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
cost-diff864
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
cost-diff0
(exp.f32 (/.f32 (neg.f32 r) s))
cost-diff0
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
cost-diff0
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
cost-diff224
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
cost-diff0
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
cost-diff0
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
cost-diff640
(+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
cost-diff0
(*.f32 s (PI.f32))
cost-diff0
(*.f32 r (*.f32 s (PI.f32)))
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
cost-diff0
(PI.f32)
cost-diff0
(*.f32 s (PI.f32))
cost-diff0
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
cost-diff544
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
Rules
8 508×lower-fma.f64
8 500×lower-fma.f32
5 592×lower-*.f64
5 560×lower-*.f32
2 786×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085716
0139711
1269689
2717640
32222638
43958638
54158638
64541638
75256638
85569638
95611638
08232632
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
(+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r)
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
r
(*.f32 s #s(literal -3 binary32))
#s(literal -3 binary32)
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/4 binary32)
(*.f32 r (*.f32 s (PI.f32)))
r
(*.f32 s (PI.f32))
s
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(/.f32 r (*.f32 s (*.f32 s (PI.f32))))
r
(*.f32 s (*.f32 s (PI.f32)))
s
(*.f32 s (PI.f32))
(PI.f32)
#s(literal 5/72 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 r (PI.f32))
(fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
#s(literal -7/324 binary32)
(/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 r r)
(*.f32 s (*.f32 s (*.f32 s (PI.f32))))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
#s(literal -1/6 binary32)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(/.f32 (*.f32 #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 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 r (PI.f32))
(fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32))))
#s(literal 1/144 binary32)
(*.f32 s (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
#s(literal -1/24 binary32)
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))
#s(literal 1/6 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(PI.f32)
(*.f32 r s)
r
s
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(*.f32 s #s(literal -3 binary32))
#s(literal -3 binary32)
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
#s(literal 1/8 binary32)
Outputs
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r))) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 (neg.f32 r) s))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
(+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))
(+.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r))
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r)
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
r
(*.f32 s #s(literal -3 binary32))
#s(literal -3 binary32)
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)
(/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r)
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 r (neg.f32 s))
(/.f32 (neg.f32 r) s)
(neg.f32 s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))
#s(literal 1/4 binary32)
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 s (*.f32 (PI.f32) r))
r
(*.f32 s (PI.f32))
s
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)))
(/.f32 r (*.f32 s (*.f32 s (PI.f32))))
r
(*.f32 s (*.f32 s (PI.f32)))
s
(*.f32 s (PI.f32))
(PI.f32)
#s(literal 5/72 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))
#s(literal 1/4 binary32)
(*.f32 r (PI.f32))
(*.f32 (PI.f32) r)
(fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(fma.f32 r (/.f32 (*.f32 r #s(literal -7/324 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
#s(literal -7/324 binary32)
(/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 r r)
(*.f32 s (*.f32 s (*.f32 s (PI.f32))))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
#s(literal -1/6 binary32)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(+.f32 #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 (PI.f32) r)) (exp.f32 (/.f32 r s)))))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 (PI.f32) r)) (exp.f32 (/.f32 r s))))
(*.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 s (*.f32 (PI.f32) (*.f32 r #s(literal 2 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.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 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))
#s(literal 1/8 binary32)
(*.f32 r (PI.f32))
(*.f32 (PI.f32) r)
(fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32))))
#s(literal 1/144 binary32)
(*.f32 s (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
#s(literal -1/24 binary32)
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r))) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 (neg.f32 r) s))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 (PI.f32) r)))
#s(literal 1/6 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 s (*.f32 (PI.f32) r))
(PI.f32)
(*.f32 r s)
(*.f32 s r)
r
s
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))
(*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal 3/4 binary32))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(*.f32 s #s(literal -3 binary32))
#s(literal -3 binary32)
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 (PI.f32) r)) (exp.f32 (/.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 r (neg.f32 s))
(/.f32 (neg.f32 r) s)
(neg.f32 s)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
#s(literal 1/8 binary32)

localize258.0ms (1.8%)

Memory
-0.5MiB live, 674.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3795700195368841
(*.f32 (PI.f32) (*.f32 r s))
accuracy0.38119125976844204
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))
accuracy0.4725275632430476
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
accuracy0.5116746794001679
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
accuracy0.30859375
(*.f32 s (PI.f32))
accuracy0.37728500976844204
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
accuracy0.4741565079549622
(fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))
accuracy29.394100218811133
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s))
accuracy0.6835641535052852
(/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
accuracy0.709292483923705
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
accuracy13.851276187720313
(+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
accuracy29.666006598729645
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
accuracy0.28515625
(*.f32 r (*.f32 s (PI.f32)))
accuracy0.30859375
(*.f32 s (PI.f32))
accuracy0.3287887695368841
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
accuracy29.692653103618017
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
accuracy0.09435012185195962
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
accuracy0.2421875
(/.f32 r (*.f32 s #s(literal -3 binary32)))
accuracy0.3046875
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
accuracy0.30859375
(*.f32 s (PI.f32))
Samples
158.0ms256×0valid
Compiler

Compiled 638 to 78 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-mult: 41.0ms (34.4% of total)
ival-div: 32.0ms (26.9% of total)
const: 19.0ms (16% of total)
ival-exp: 14.0ms (11.8% of total)
ival-add: 9.0ms (7.6% of total)
ival-neg: 2.0ms (1.7% of total)
ival-pi: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series121.0ms (0.8%)

Memory
-3.2MiB live, 167.9MiB allocated
Counts
25 → 540
Calls
Call 1
Inputs
#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (patch (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 s (PI.f32)) (patch (*.f32 s (PI.f32)) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt (*.f32 r (*.f32 s (PI.f32))) (patch (*.f32 r (*.f32 s (PI.f32))) #<representation binary32>) () ())
#s(alt (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) (patch (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)) #<representation binary32>) () ())
#s(alt (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s) (patch (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (patch (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (patch (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s))) (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 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s))) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (patch (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 (neg.f32 r) s)) (patch (exp.f32 (/.f32 (neg.f32 r) s)) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))) (patch (fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))) #<representation binary32>) () ())
#s(alt (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (patch (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (patch (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())
#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (patch (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (patch (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #<representation binary32>) () ())
#s(alt #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)) (patch #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)) #<representation binary32>) () ())
#s(alt (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))) (patch (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))) (patch (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))) #<representation binary32>) () ())
Outputs
#s(alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor inf s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s) (taylor inf s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s) (taylor inf s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s) (taylor inf s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor -inf s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s)) (taylor -inf s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s)) (taylor -inf s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s)) (taylor -inf s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 r) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r) (taylor 0 r) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r) (taylor 0 r) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r) (taylor 0 r) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI))))) (taylor inf r) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI))))) (taylor inf r) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI))))) (taylor inf r) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI))))) (taylor inf r) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
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#s(alt (/ -1/24 (* s (PI))) (taylor -inf s) (#s(alt (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))) (patch (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))) #<representation binary32>) () ())) ())
Calls

135 calls:

TimeVariablePointExpression
27.0ms
r
@0
(+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI))))
21.0ms
s
@0
(/ (* r r) (* s (* s (* s (PI)))))
5.0ms
r
@inf
(* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))
1.0ms
r
@-inf
(* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))
1.0ms
s
@0
(* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r)))

simplify451.0ms (3.1%)

Memory
6.1MiB live, 317.9MiB allocated
Algorithm
1×egg-herbie
Rules
8 582×lower-fma.f64
8 582×lower-fma.f32
5 318×lower-*.f64
5 318×lower-*.f32
3 268×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06017407
118027204
250617133
081886950
Stop Event
1×iter limit
1×node limit
Counts
540 → 540
Calls
Call 1
Inputs
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
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(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/8 (* r (* s (PI))))
(/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -1/48 (/ r (* (pow s 4) (PI)))) (* 1/16 (/ 1 (* (pow s 3) (PI)))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/ 1/8 (* r (* s (PI))))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/8 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/8 (* s (PI)))) s)
(/ 1/8 (* r (* s (PI))))
(* -1 (/ (- (* 1/8 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* 1/48 (/ (pow r 2) (* s (PI))))) s)) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(/ 1/6 (* r (* s (PI))))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
(/ (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)))
(/ (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)))
(/ (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)))
(/ (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)))
(/ (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)))
(/ (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 (* r (* s (PI))))
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -1/1296 (/ r (* (pow s 4) (PI)))) (* 1/144 (/ 1 (* (pow s 3) (PI)))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/ 1/8 (* r (* s (PI))))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)
(/ (- (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/24 (* s (PI)))) s)
(/ 1/8 (* r (* s (PI))))
(* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/144 (/ r (PI))) (* 1/1296 (/ (pow r 2) (* s (PI))))) s)) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/ -1/24 (* s (PI)))
(- (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/24 (/ 1 (* s (PI)))))
(- (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/24 (/ 1 (* s (PI)))))
(- (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/24 (/ 1 (* s (PI)))))
(* 1/144 (/ r (* (pow s 2) (PI))))
(* r (- (* 1/144 (/ 1 (* (pow s 2) (PI)))) (* 1/24 (/ 1 (* r (* s (PI)))))))
(* r (- (* 1/144 (/ 1 (* (pow s 2) (PI)))) (* 1/24 (/ 1 (* r (* s (PI)))))))
(* r (- (* 1/144 (/ 1 (* (pow s 2) (PI)))) (* 1/24 (/ 1 (* r (* s (PI)))))))
(* 1/144 (/ r (* (pow s 2) (PI))))
(* -1 (* r (- (* 1/24 (/ 1 (* r (* s (PI))))) (* 1/144 (/ 1 (* (pow s 2) (PI)))))))
(* -1 (* r (- (* 1/24 (/ 1 (* r (* s (PI))))) (* 1/144 (/ 1 (* (pow s 2) (PI)))))))
(* -1 (* r (- (* 1/24 (/ 1 (* r (* s (PI))))) (* 1/144 (/ 1 (* (pow s 2) (PI)))))))
(* 1/144 (/ r (* (pow s 2) (PI))))
(/ (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))) (pow s 2))
(/ (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))) (pow s 2))
(/ (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))) (pow s 2))
(/ -1/24 (* s (PI)))
(/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)
(/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)
(/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)
(/ -1/24 (* s (PI)))
(* -1 (/ (+ (* -1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s))
(* -1 (/ (+ (* -1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s))
(* -1 (/ (+ (* -1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s))
(/ -1/24 (* s (PI)))
(/ -1/24 (* s (PI)))
(/ -1/24 (* s (PI)))
(/ -1/24 (* s (PI)))
(/ -1/24 (* s (PI)))
(/ -1/24 (* s (PI)))
(/ -1/24 (* s (PI)))
(/ -1/24 (* s (PI)))
(/ -1/24 (* s (PI)))
(/ -1/24 (* s (PI)))
(/ -1/24 (* s (PI)))
(/ -1/24 (* s (PI)))
Outputs
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) r))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) r))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) r))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) r))) (*.f32 s (PI.f32)))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -5/72 binary32) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (*.f32 s s)))
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -14/81 binary32)) (*.f32 s (*.f32 s s))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -5/72 binary32) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (*.f32 s s)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
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(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32) (*.f32 (*.f32 r (/.f32 r (*.f32 s (PI.f32)))) #s(literal 1/1296 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)
(/ -1/24 (* s (PI)))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
(- (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/24 (/ 1 (* s (PI)))))
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))
(- (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/24 (/ 1 (* s (PI)))))
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))
(- (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/24 (/ 1 (* s (PI)))))
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))
(* 1/144 (/ r (* (pow s 2) (PI))))
(/.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 s (*.f32 s (PI.f32))))
(* r (- (* 1/144 (/ 1 (* (pow s 2) (PI)))) (* 1/24 (/ 1 (* r (* s (PI)))))))
(*.f32 r (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(* r (- (* 1/144 (/ 1 (* (pow s 2) (PI)))) (* 1/24 (/ 1 (* r (* s (PI)))))))
(*.f32 r (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(* r (- (* 1/144 (/ 1 (* (pow s 2) (PI)))) (* 1/24 (/ 1 (* r (* s (PI)))))))
(*.f32 r (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(* 1/144 (/ r (* (pow s 2) (PI))))
(/.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 s (*.f32 s (PI.f32))))
(* -1 (* r (- (* 1/24 (/ 1 (* r (* s (PI))))) (* 1/144 (/ 1 (* (pow s 2) (PI)))))))
(*.f32 r (neg.f32 (+.f32 (/.f32 #s(literal 1/24 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))))))
(* -1 (* r (- (* 1/24 (/ 1 (* r (* s (PI))))) (* 1/144 (/ 1 (* (pow s 2) (PI)))))))
(*.f32 r (neg.f32 (+.f32 (/.f32 #s(literal 1/24 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))))))
(* -1 (* r (- (* 1/24 (/ 1 (* r (* s (PI))))) (* 1/144 (/ 1 (* (pow s 2) (PI)))))))
(*.f32 r (neg.f32 (+.f32 (/.f32 #s(literal 1/24 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))))))
(* 1/144 (/ r (* (pow s 2) (PI))))
(/.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 s (*.f32 s (PI.f32))))
(/ (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))) (pow s 2))
(/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal 1/144 binary32) (*.f32 (/.f32 s (PI.f32)) #s(literal -1/24 binary32))) (*.f32 s s))
(/ (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))) (pow s 2))
(/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal 1/144 binary32) (*.f32 (/.f32 s (PI.f32)) #s(literal -1/24 binary32))) (*.f32 s s))
(/ (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))) (pow s 2))
(/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal 1/144 binary32) (*.f32 (/.f32 s (PI.f32)) #s(literal -1/24 binary32))) (*.f32 s s))
(/ -1/24 (* s (PI)))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
(/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))
(/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))
(/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))
(/ -1/24 (* s (PI)))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
(* -1 (/ (+ (* -1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s))
(neg.f32 (/.f32 (fma.f32 #s(literal -1/144 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/24 binary32) (PI.f32))) s))
(* -1 (/ (+ (* -1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s))
(neg.f32 (/.f32 (fma.f32 #s(literal -1/144 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/24 binary32) (PI.f32))) s))
(* -1 (/ (+ (* -1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s))
(neg.f32 (/.f32 (fma.f32 #s(literal -1/144 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/24 binary32) (PI.f32))) s))
(/ -1/24 (* s (PI)))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
(/ -1/24 (* s (PI)))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
(/ -1/24 (* s (PI)))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
(/ -1/24 (* s (PI)))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
(/ -1/24 (* s (PI)))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
(/ -1/24 (* s (PI)))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
(/ -1/24 (* s (PI)))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
(/ -1/24 (* s (PI)))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
(/ -1/24 (* s (PI)))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
(/ -1/24 (* s (PI)))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
(/ -1/24 (* s (PI)))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
(/ -1/24 (* s (PI)))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))

rewrite623.0ms (4.3%)

Memory
-1.9MiB live, 556.9MiB allocated
Rules
5 690×lower-*.f64
5 658×lower-*.f32
3 924×lower-fma.f64
3 916×lower-fma.f32
3 388×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085453
0139448
1528414
25473406
08794405
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 1 014
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(*.f32 r (*.f32 s (PI.f32)))
(+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(*.f32 (PI.f32) (*.f32 r s))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
#s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s))
(fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
Outputs
(+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r)))))
(+.f32 (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r)))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(pow.f32 (/.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 s r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))) (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) (*.f32 (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) #s(literal 3/4 binary32)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) r))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r)))) (/.f32 (-.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (PI.f32) (*.f32 s r))) (*.f32 (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r)))))) (+.f32 (/.f32 (*.f32 #s(literal 1/512 binary32) (exp.f32 (*.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 r r) r) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))))) (/.f32 (*.f32 #s(literal 1/512 binary32) (exp.f32 (*.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)) #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 r r) r) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r))))) (fma.f32 (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r)))) (neg.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r)))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 s (PI.f32)) (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 r (neg.f32 s))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (-.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))) (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r))))) (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r)))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))))) (+.f32 (/.f32 (*.f32 #s(literal 1/512 binary32) (exp.f32 (*.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 r r) r) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))))) (/.f32 (*.f32 #s(literal 1/512 binary32) (exp.f32 (*.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)) #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 r r) r) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (PI.f32) (*.f32 s r))) (-.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r)))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r))))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r)) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)) (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r)))))
(fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 s r))) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r)))))
(fma.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 3/4 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
(fma.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))))
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(fma.f32 (/.f32 r (*.f32 s s)) (/.f32 #s(literal 1/144 binary32) (PI.f32)) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))
(-.f32 (/.f32 (/.f32 (*.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 r #s(literal 1/144 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32))))) (-.f32 (/.f32 r (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal 144 binary32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) (/.f32 (/.f32 #s(literal 1/576 binary32) (*.f32 (*.f32 s (PI.f32)) (*.f32 s (PI.f32)))) (-.f32 (/.f32 r (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal 144 binary32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))) (-.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))) (/.f32 r (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal 144 binary32)))) (/.f32 (*.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 r #s(literal 1/144 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32)))))) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 r r) r) #s(literal 1/2985984 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/13824 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 r (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal 144 binary32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))) (-.f32 (/.f32 (*.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 r #s(literal 1/144 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/576 binary32) (*.f32 (*.f32 s (PI.f32)) (*.f32 s (PI.f32)))))))
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 r r) r) #s(literal 1/2985984 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/13824 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))))) (fma.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))) (-.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))) (/.f32 r (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal 144 binary32)))) (/.f32 (*.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 r #s(literal 1/144 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32)))))))
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 r r) r) #s(literal 1/2985984 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/13824 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))))) (+.f32 (/.f32 #s(literal 1/576 binary32) (*.f32 (*.f32 s (PI.f32)) (*.f32 s (PI.f32)))) (-.f32 (/.f32 (*.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 r #s(literal 1/144 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 (*.f32 (*.f32 r #s(literal 1/144 binary32)) #s(literal -1/24 binary32)) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (PI.f32)))))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 r #s(literal 1/144 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/576 binary32) (*.f32 (*.f32 s (PI.f32)) (*.f32 s (PI.f32))))) (-.f32 (/.f32 r (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal 144 binary32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))) (*.f32 (*.f32 s (PI.f32)) (*.f32 r #s(literal 1/144 binary32)))) (*.f32 (*.f32 s (PI.f32)) (*.f32 s (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s (PI.f32))) (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal -24 binary32)) (*.f32 r #s(literal 1/144 binary32)))) (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal -24 binary32)) (*.f32 s (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 #s(literal 1/24 binary32) (*.f32 s (*.f32 s (PI.f32))) (*.f32 (neg.f32 (*.f32 s (PI.f32))) (*.f32 r #s(literal 1/144 binary32)))) (*.f32 (neg.f32 (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 (/.f32 #s(literal -1/24 binary32) s) (*.f32 s (*.f32 s (PI.f32))) (*.f32 (PI.f32) (*.f32 r #s(literal 1/144 binary32)))) (*.f32 (PI.f32) (*.f32 s (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 s (PI.f32)) (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal -1/24 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (PI.f32))))
(/.f32 (fma.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 (*.f32 s (PI.f32)) #s(literal -24 binary32)) (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal 1 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 (*.f32 s (PI.f32)) #s(literal -24 binary32))))
(/.f32 (fma.f32 (*.f32 r #s(literal 1/144 binary32)) (neg.f32 (*.f32 s (PI.f32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal 1/24 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (neg.f32 (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) s))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (PI.f32)))
(/.f32 (neg.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 r r) r) #s(literal 1/2985984 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/13824 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s)))))) (neg.f32 (fma.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))) (-.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))) (/.f32 r (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal 144 binary32)))) (/.f32 (*.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 r #s(literal 1/144 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32))))))))
(/.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 r #s(literal 1/144 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/576 binary32) (*.f32 (*.f32 s (PI.f32)) (*.f32 s (PI.f32)))))) (neg.f32 (-.f32 (/.f32 r (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal 144 binary32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))))
(/.f32 (-.f32 (/.f32 #s(literal 1/576 binary32) (*.f32 (*.f32 s (PI.f32)) (*.f32 s (PI.f32)))) (/.f32 (*.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 r #s(literal 1/144 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32)))))) (-.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))) (/.f32 r (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal 144 binary32)))))
(*.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 r r) r) #s(literal 1/2985984 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/13824 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))) (-.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))) (/.f32 r (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal 144 binary32)))) (/.f32 (*.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 r #s(literal 1/144 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32))))))))
(*.f32 (-.f32 (/.f32 (*.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 r #s(literal 1/144 binary32))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/576 binary32) (*.f32 (*.f32 s (PI.f32)) (*.f32 s (PI.f32))))) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 r (*.f32 (*.f32 s (*.f32 s (PI.f32))) #s(literal 144 binary32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))))
(neg.f32 (/.f32 #s(literal 1/24 binary32) (*.f32 s (PI.f32))))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal -24 binary32))) #s(literal -1 binary32)))
(pow.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal -24 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal -24 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (PI.f32) (/.f32 #s(literal -1/24 binary32) s)) #s(literal -1 binary32))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
(/.f32 #s(literal -1/24 binary32) (neg.f32 (neg.f32 (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (PI.f32)) #s(literal -24 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal -24 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal -1/24 binary32) s)))
(/.f32 #s(literal 1/24 binary32) (neg.f32 (*.f32 s (PI.f32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal -24 binary32))))
(/.f32 (/.f32 #s(literal -1/24 binary32) s) (PI.f32))
(/.f32 (neg.f32 (/.f32 #s(literal -1/24 binary32) s)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) s)
(/.f32 (/.f32 (/.f32 #s(literal -1/24 binary32) s) #s(literal 1 binary32)) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal -1/24 binary32) s) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal -1/24 binary32) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))
(*.f32 #s(literal 1/24 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 s (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) #s(literal -1/24 binary32))
(*.f32 (/.f32 #s(literal -1/24 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32)))

eval234.0ms (1.6%)

Memory
-13.7MiB live, 576.7MiB allocated
Compiler

Compiled 80 710 to 4 820 computations (94% saved)

prune582.0ms (4%)

Memory
16.1MiB live, 1 211.8MiB allocated
Pruning

78 alts after pruning (76 fresh and 2 done)

PrunedKeptTotal
New2 069692 138
Fresh13720
Picked325
Done000
Total2 085782 163
Accuracy
99.8%
Counts
2 163 → 78
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
97.0%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
8.1%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
7.5%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
▶6.9%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
8.2%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
8.2%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))) (neg.f32 s))) s)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
6.7%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r))) (*.f32 s (*.f32 s s)))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
7.5%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
8.2%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)))) s)))
98.4%
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
97.9%
(fma.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (PI.f32) (*.f32 s r)) #s(literal 6 binary32))) #s(literal -1 binary32))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
62.1%
(/.f32 (fma.f32 (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal -1/4 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))) (*.f32 (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))) (*.f32 r (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))))
99.0%
(/.f32 (*.f32 (fma.f32 r (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal 1/8 binary32)) (*.f32 (*.f32 r r) (*.f32 s (PI.f32))))
99.5%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
99.5%
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 r (neg.f32 s)))))) (PI.f32))
8.2%
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 (PI.f32) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
99.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal -1 binary32))))
8.1%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #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 r (PI.f32)) #s(literal -1/144 binary32) (*.f32 (*.f32 r (/.f32 r (*.f32 s (PI.f32)))) #s(literal 1/1296 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
7.6%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
5.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 r (*.f32 r #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))) s)) s)))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
8.2%
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 (PI.f32) (*.f32 s r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
5.5%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
5.6%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 s (PI.f32)))) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/16 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
6.4%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
99.5%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (exp.f32 (log.f32 (PI.f32))))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
▶99.6%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
99.6%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
✓99.6%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
98.5%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
8.1%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
7.5%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
6.8%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
8.2%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
8.2%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))) (neg.f32 s))) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
8.2%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (*.f32 (/.f32 (*.f32 r r) s) #s(literal -1/18 binary32))) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
6.7%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r))) (*.f32 s (*.f32 s s))))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
7.6%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
99.5%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 r (neg.f32 s))))))
5.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
5.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) #s(literal -1/6 binary32) (fma.f32 r (*.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32)) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))) s))
5.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (PI.f32)) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
5.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32)) (fma.f32 r (*.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32)) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))) s))
5.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
6.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
5.9%
#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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32))))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
5.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (fma.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (PI.f32))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (*.f32 #s(literal 7/324 binary32) (*.f32 r (/.f32 r (*.f32 s (PI.f32)))))) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
5.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 #s(approx (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (*.f32 r (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 r (PI.f32))))))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
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 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))))) r))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 s (*.f32 s s)))) s))
7.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
4.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 r (*.f32 (/.f32 s (PI.f32)) #s(literal 5/72 binary32)) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 s (*.f32 s s)))) s))
7.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
6.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
5.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 r (*.f32 r (PI.f32))))) (+.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/6 binary32) (*.f32 r (*.f32 r (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))) s))
▶3.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) s))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
▶7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
✓7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
7.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -5/72 binary32) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (*.f32 s s))))
6.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
4.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (/.f32 (fma.f32 r (*.f32 (/.f32 s (PI.f32)) #s(literal 5/72 binary32)) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))))
▶2.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))))
7.2%
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
99.6%
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) r))) (*.f32 s (PI.f32))))
99.6%
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))))
Compiler

Compiled 4 696 to 2 890 computations (38.5% saved)

simplify335.0ms (2.3%)

Memory
18.5MiB live, 579.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))
cost-diff64
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
cost-diff320
(fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s))
cost-diff864
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
cost-diff0
(*.f32 r r)
cost-diff0
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))
cost-diff0
#s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))))))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))))
cost-diff0
#s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
cost-diff0
(/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) s)
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 (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) s))
cost-diff288
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))
cost-diff0
(*.f32 s r)
cost-diff0
(*.f32 (*.f32 s r) (PI.f32))
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
cost-diff0
(PI.f32)
cost-diff0
(*.f32 s (PI.f32))
cost-diff0
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
cost-diff544
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
Rules
23 164×lower-fma.f64
23 156×lower-fma.f32
5 232×lower-*.f64
5 194×lower-*.f32
3 562×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110970
0167954
1343900
2928843
32875813
44315813
55588813
67529813
08220793
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
(+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r)
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s)))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 r (/.f32 #s(literal 1/3 binary32) s))
r
(/.f32 #s(literal 1/3 binary32) s)
#s(literal 1/3 binary32)
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) s))
(/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) s)
#s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))
(*.f32 r r)
r
(+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))
(/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))
#s(literal 5/72 binary32)
(*.f32 r (*.f32 s (*.f32 s (PI.f32))))
(*.f32 s (*.f32 s (PI.f32)))
s
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
#s(literal -7/324 binary32)
(*.f32 s (*.f32 s (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))))
#s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))))))
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))
(*.f32 r r)
r
(+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))))
(/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))
#s(literal 5/72 binary32)
(*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 s (*.f32 s (*.f32 s (PI.f32))))
s
(*.f32 s (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))
#s(literal -7/324 binary32)
(*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))
(pow.f32 s #s(literal 4 binary32))
#s(literal 4 binary32)
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))
#s(literal 1/6 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(PI.f32)
(*.f32 r s)
r
s
(*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))))
#s(literal 3/4 binary32)
#s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))
(fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))
(fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s))
(fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))
#s(literal -1/162 binary32)
(/.f32 r (*.f32 s (*.f32 s s)))
(*.f32 s (*.f32 s s))
(*.f32 s s)
(/.f32 #s(literal 1/18 binary32) (*.f32 s s))
#s(literal 1/18 binary32)
(/.f32 #s(literal -1/3 binary32) s)
#s(literal -1/3 binary32)
#s(literal 1 binary32)
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
#s(literal 1/8 binary32)
Outputs
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r))) (+.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/3 binary32) (/.f32 r s))) (exp.f32 (/.f32 (neg.f32 r) s))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
#s(literal 1/8 binary32)
(*.f32 s (PI.f32))
s
(PI.f32)
(+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))
(+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/3 binary32) (/.f32 r s))) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r)
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/3 binary32) (/.f32 r s))) r)
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 #s(literal 1/3 binary32) (/.f32 r s)))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 r (/.f32 #s(literal 1/3 binary32) s))
(*.f32 #s(literal 1/3 binary32) (/.f32 r s))
r
(/.f32 #s(literal 1/3 binary32) s)
#s(literal 1/3 binary32)
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)
(/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r)
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 r (neg.f32 s))
(/.f32 (neg.f32 r) s)
(neg.f32 s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 s (*.f32 (PI.f32) r))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (PI.f32) r)))
#s(literal 1/4 binary32)
(*.f32 (*.f32 s r) (PI.f32))
(*.f32 s (*.f32 (PI.f32) r))
(*.f32 s r)
s
r
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (/.f32 (*.f32 r r) (*.f32 (PI.f32) (*.f32 s s))) (+.f32 (/.f32 #s(literal 5/72 binary32) r) (/.f32 #s(literal -7/324 binary32) s)))) s))
(/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) s)
(/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (/.f32 (*.f32 r r) (*.f32 (PI.f32) (*.f32 s s))) (+.f32 (/.f32 #s(literal 5/72 binary32) r) (/.f32 #s(literal -7/324 binary32) s)))) s)
#s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
#s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (/.f32 (*.f32 r r) (*.f32 (PI.f32) (*.f32 s s))) (+.f32 (/.f32 #s(literal 5/72 binary32) r) (/.f32 #s(literal -7/324 binary32) s))))
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))
(*.f32 (/.f32 (*.f32 r r) (*.f32 (PI.f32) (*.f32 s s))) (+.f32 (/.f32 #s(literal 5/72 binary32) r) (/.f32 #s(literal -7/324 binary32) s)))
(*.f32 r r)
r
(+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))
(+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 (PI.f32) r)))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))))
(/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))
(/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 (PI.f32) r))))
#s(literal 5/72 binary32)
(*.f32 r (*.f32 s (*.f32 s (PI.f32))))
(*.f32 s (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 s (*.f32 s (PI.f32)))
(*.f32 (PI.f32) (*.f32 s s))
s
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 (PI.f32) (*.f32 s s))))
#s(literal -7/324 binary32)
(*.f32 s (*.f32 s (*.f32 s (PI.f32))))
(*.f32 s (*.f32 (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))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))))
#s(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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (*.f32 (PI.f32) r))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))))
#s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))))))
#s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (*.f32 (PI.f32) r))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))))))
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (*.f32 (PI.f32) r))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))
(*.f32 r r)
r
(+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))))
(+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (*.f32 (PI.f32) r))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))))
(/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))
(/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (*.f32 (PI.f32) r)))))
#s(literal 5/72 binary32)
(*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 s (*.f32 s (*.f32 s (*.f32 (PI.f32) r))))
(*.f32 s (*.f32 s (*.f32 s (PI.f32))))
(*.f32 s (*.f32 (PI.f32) (*.f32 s s)))
s
(*.f32 s (*.f32 s (PI.f32)))
(*.f32 (PI.f32) (*.f32 s s))
(*.f32 s (PI.f32))
(PI.f32)
(/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))
#s(literal -7/324 binary32)
(*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))
(pow.f32 s #s(literal 4 binary32))
#s(literal 4 binary32)
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 r (/.f32 #s(literal -1/162 binary32) s) #s(literal 1/18 binary32)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 (PI.f32) r)))
#s(literal 1/6 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 s (*.f32 (PI.f32) r))
(PI.f32)
(*.f32 r s)
(*.f32 s r)
r
s
(*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))))
(*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 r (/.f32 #s(literal -1/162 binary32) s) #s(literal 1/18 binary32)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))))
#s(literal 3/4 binary32)
#s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))
#s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 r (/.f32 #s(literal -1/162 binary32) s) #s(literal 1/18 binary32)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))
(fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))
(fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 r (/.f32 #s(literal -1/162 binary32) s) #s(literal 1/18 binary32)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))
(fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s))
(fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 r (/.f32 #s(literal -1/162 binary32) s) #s(literal 1/18 binary32)) (/.f32 #s(literal -1/3 binary32) s))
(fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))
(fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))
#s(literal -1/162 binary32)
(/.f32 r (*.f32 s (*.f32 s s)))
(*.f32 s (*.f32 s s))
(*.f32 s s)
(/.f32 #s(literal 1/18 binary32) (*.f32 s s))
#s(literal 1/18 binary32)
(/.f32 #s(literal -1/3 binary32) s)
#s(literal -1/3 binary32)
#s(literal 1 binary32)
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (*.f32 (PI.f32) r)) (exp.f32 (/.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 r (neg.f32 s))
(/.f32 (neg.f32 r) s)
(neg.f32 s)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))
#s(literal 1/8 binary32)

localize315.0ms (2.2%)

Memory
-35.2MiB live, 608.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.5116746794001679
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
accuracy0.5939416180995738
(fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s))
accuracy14.465880154538175
(fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))
accuracy29.35509709061151
#s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))
accuracy0.30859375
(*.f32 s (PI.f32))
accuracy2.5609386725371683
#s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))))))
accuracy19.112300485966482
(+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))))
accuracy29.666006598729645
#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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))))
accuracy1.0510065882037194
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))
accuracy2.546100461617833
#s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
accuracy14.089913179813987
(+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))
accuracy29.666006598729645
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) s))
accuracy0
(PI.f32)
accuracy0.3287887695368841
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))
accuracy0.3795700195368841
(*.f32 (*.f32 s r) (PI.f32))
accuracy29.692653103618017
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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))))
accuracy0.265625
(*.f32 r (/.f32 #s(literal 1/3 binary32) s))
accuracy0.3046875
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
accuracy0.30859375
(*.f32 s (PI.f32))
accuracy0.375
(/.f32 #s(literal 1/3 binary32) s)
Samples
196.0ms256×0valid
Compiler

Compiled 706 to 104 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 167.0ms
ival-mult: 51.0ms (30.5% of total)
ival-div: 39.0ms (23.4% of total)
const: 32.0ms (19.2% of total)
ival-add: 17.0ms (10.2% of total)
ival-pow: 14.0ms (8.4% of total)
ival-exp: 10.0ms (6% of total)
ival-neg: 2.0ms (1.2% of total)
ival-pi: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series52.0ms (0.4%)

Memory
32.8MiB live, 70.7MiB allocated
Counts
26 → 552
Calls
Call 1
Inputs
#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (patch (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 s (PI.f32)) (patch (*.f32 s (PI.f32)) #<representation binary32>) () ())
#s(alt (PI.f32) (patch (PI.f32) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))) (patch (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 s r) (PI.f32)) (patch (*.f32 (*.f32 s r) (PI.f32)) #<representation binary32>) () ())
#s(alt (*.f32 s r) (patch (*.f32 s r) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))) (patch (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))) #<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 (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) s)) (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 (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) s)) #<representation binary32>) () ())
#s(alt (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) s) (patch (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) s) #<representation binary32>) () ())
#s(alt #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) (patch #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))))))) (patch #s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))))))) #<representation binary32>) () ())
#s(alt #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))) (patch #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))))) (patch (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))))) #<representation binary32>) () ())
#s(alt (*.f32 r r) (patch (*.f32 r r) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))) (patch (fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))) #<representation binary32>) () ())
#s(alt (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) (patch (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #<representation binary32>) () ())
#s(alt (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (patch (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (patch (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/3 binary32) s) (patch (/.f32 #s(literal 1/3 binary32) s) #<representation binary32>) () ())
#s(alt (*.f32 r (/.f32 #s(literal 1/3 binary32) s)) (patch (*.f32 r (/.f32 #s(literal 1/3 binary32) s)) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (patch (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))) (patch (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (patch #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (patch (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) #<representation binary32>) () ())
Outputs
#s(alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI)))) (taylor 0 s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor inf s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s) (taylor inf s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s) (taylor inf s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s) (taylor inf s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor -inf s) (#s(alt (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) (patch (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r))) #<representation binary32>) () ())) ())
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#s(alt (/ (+ (* -1/162 r) (* 1/18 s)) (pow s 3)) (taylor 0 s) (#s(alt (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (patch (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) #<representation binary32>) () ())) ())
#s(alt (/ 1/18 (pow s 2)) (taylor inf s) (#s(alt (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (patch (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2)) (taylor inf s) (#s(alt (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (patch (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2)) (taylor inf s) (#s(alt (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (patch (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2)) (taylor inf s) (#s(alt (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (patch (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) #<representation binary32>) () ())) ())
#s(alt (/ 1/18 (pow s 2)) (taylor -inf s) (#s(alt (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (patch (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2)) (taylor -inf s) (#s(alt (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (patch (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2)) (taylor -inf s) (#s(alt (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (patch (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2)) (taylor -inf s) (#s(alt (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (patch (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) #<representation binary32>) () ())) ())
Calls

138 calls:

TimeVariablePointExpression
1.0ms
r
@0
(* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))))
1.0ms
r
@-inf
(* (/ 1/8 (* s (PI))) (+ (/ (pow (exp -1) (* r (/ 1/3 s))) r) (/ (exp (/ r (neg s))) r)))
1.0ms
s
@0
(* (* r r) (+ (/ 5/72 (* r (* s (* s (PI))))) (/ -7/324 (* s (* s (* s (PI)))))))
1.0ms
r
@0
(+ (* r (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s)))) (/ -1/3 s))
1.0ms
s
@0
(* (/ 1/8 (* s (PI))) (+ (/ (pow (exp -1) (* r (/ 1/3 s))) r) (/ (exp (/ r (neg s))) r)))

simplify267.0ms (1.8%)

Memory
-3.1MiB live, 298.1MiB allocated
Algorithm
1×egg-herbie
Rules
14 146×lower-fma.f64
14 146×lower-fma.f32
4 934×lower-*.f64
4 934×lower-*.f32
3 524×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05307981
115737724
244907527
083517323
Stop Event
1×iter limit
1×node limit
Counts
552 → 552
Calls
Call 1
Inputs
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(/ 1/8 (* s (PI)))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* r s)
(* 5/72 (/ r (* (pow s 2) (PI))))
(* r (+ (* -7/324 (/ r (* (pow s 3) (PI)))) (* 5/72 (/ 1 (* (pow s 2) (PI))))))
(* r (+ (* -7/324 (/ r (* (pow s 3) (PI)))) (* 5/72 (/ 1 (* (pow s 2) (PI))))))
(* r (+ (* -7/324 (/ r (* (pow s 3) (PI)))) (* 5/72 (/ 1 (* (pow s 2) (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 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (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 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) (pow s 3))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) (pow s 3))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) (pow s 3))
(* 5/72 (/ r (* (pow s 2) (PI))))
(/ (+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ r (PI)))) (pow s 2))
(/ (+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ r (PI)))) (pow s 2))
(/ (+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ r (PI)))) (pow s 2))
(* 5/72 (/ r (* (pow s 2) (PI))))
(/ (+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ r (PI)))) (pow s 2))
(/ (+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ r (PI)))) (pow s 2))
(/ (+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ r (PI)))) (pow s 2))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(* -7/324 (/ (pow r 2) (* (pow s 4) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))) (* 7/324 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (/ 5/72 (* r (* (pow s 3) (PI)))) (+ (/ 1/6 (* (pow r 2) (* (pow s 2) (PI)))) (* 7/324 (/ 1 (* (pow s 4) (PI)))))))
(* (pow r 2) (- (+ (/ 5/72 (* r (* (pow s 3) (PI)))) (* 1/4 (/ 1 (* (pow r 3) (* s (PI)))))) (+ (* 1/6 (/ 1 (* (pow r 2) (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 4) (PI)))))))
(* -7/324 (/ (pow r 2) (* (pow s 4) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))) (* 7/324 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/6 (/ 1 (* r (* (pow s 2) (PI))))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 4) (PI))))))
(* -7/324 (/ (pow r 2) (* (pow s 4) (PI))))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) (pow s 4))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))))) (pow s 4))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))))) (pow s 4))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
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(/ (- (* 5/72 (/ 1 (* r (PI)))) (* 7/324 (/ 1 (* s (PI))))) (pow s 2))
(/ (- (* 5/72 (/ 1 (* r (PI)))) (* 7/324 (/ 1 (* s (PI))))) (pow s 2))
(/ 5/72 (* r (* (pow s 2) (PI))))
(/ (- (* 5/72 (/ 1 (* r (PI)))) (* 7/324 (/ 1 (* s (PI))))) (pow s 2))
(/ (- (* 5/72 (/ 1 (* r (PI)))) (* 7/324 (/ 1 (* s (PI))))) (pow s 2))
(/ (- (* 5/72 (/ 1 (* r (PI)))) (* 7/324 (/ 1 (* s (PI))))) (pow s 2))
(/ 5/72 (* r (* (pow s 3) (PI))))
(/ (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) r)
(/ (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) r)
(/ (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) r)
(/ -7/324 (* (pow s 4) (PI)))
(- (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))) (* 7/324 (/ 1 (* (pow s 4) (PI)))))
(- (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))) (* 7/324 (/ 1 (* (pow s 4) (PI)))))
(- (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))) (* 7/324 (/ 1 (* (pow s 4) (PI)))))
(/ -7/324 (* (pow s 4) (PI)))
(- (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))) (* 7/324 (/ 1 (* (pow s 4) (PI)))))
(- (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))) (* 7/324 (/ 1 (* (pow s 4) (PI)))))
(- (* 5/72 (/ 1 (* r (* (pow s 3) (PI))))) (* 7/324 (/ 1 (* (pow s 4) (PI)))))
(/ -7/324 (* (pow s 4) (PI)))
(/ (- (* 5/72 (/ s (* r (PI)))) (* 7/324 (/ 1 (PI)))) (pow s 4))
(/ (- (* 5/72 (/ s (* r (PI)))) (* 7/324 (/ 1 (PI)))) (pow s 4))
(/ (- (* 5/72 (/ s (* r (PI)))) (* 7/324 (/ 1 (PI)))) (pow s 4))
(/ 5/72 (* r (* (pow s 3) (PI))))
(/ (- (* 5/72 (/ 1 (* r (PI)))) (* 7/324 (/ 1 (* s (PI))))) (pow s 3))
(/ (- (* 5/72 (/ 1 (* r (PI)))) (* 7/324 (/ 1 (* s (PI))))) (pow s 3))
(/ (- (* 5/72 (/ 1 (* r (PI)))) (* 7/324 (/ 1 (* s (PI))))) (pow s 3))
(/ 5/72 (* r (* (pow s 3) (PI))))
(* -1 (/ (- (* 7/324 (/ 1 (* s (PI)))) (* 5/72 (/ 1 (* r (PI))))) (pow s 3)))
(* -1 (/ (- (* 7/324 (/ 1 (* s (PI)))) (* 5/72 (/ 1 (* r (PI))))) (pow s 3)))
(* -1 (/ (- (* 7/324 (/ 1 (* s (PI)))) (* 5/72 (/ 1 (* r (PI))))) (pow s 3)))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
(/ 1/18 (pow s 2))
(+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))
(+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))
(+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))
(* -1/162 (/ r (pow s 3)))
(* r (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(* r (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(* r (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(* -1/162 (/ r (pow s 3)))
(* -1 (* r (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))
(* -1 (* r (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))
(* -1 (* r (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))
(* -1/162 (/ r (pow s 3)))
(/ (+ (* -1/162 r) (* 1/18 s)) (pow s 3))
(/ (+ (* -1/162 r) (* 1/18 s)) (pow s 3))
(/ (+ (* -1/162 r) (* 1/18 s)) (pow s 3))
(/ 1/18 (pow s 2))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/ 1/18 (pow s 2))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
Outputs
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r))) (*.f32 s (PI.f32)))
(* 1/8 (/ (+ (/ (exp (* -1 (/ r s))) r) (/ (exp (* -1/3 (/ r s))) r)) (* s (PI))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r))) (*.f32 s (PI.f32)))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -14/81 binary32)) (*.f32 s (*.f32 s s))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/8 (/ (+ (* 1/162 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32)) s) (*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/8 (/ (+ (exp (* -1 (/ r s))) (exp (* -1/3 (/ r s)))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(* -1/8 (/ (+ (* -1 (exp (* -1 (/ r s)))) (* -1 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(* s (PI))
(*.f32 s (PI.f32))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
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(/ 5/72 (* r (* (pow s 3) (PI))))
(/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 s s)) s)))
(* -1 (/ (- (* 7/324 (/ 1 (* s (PI)))) (* 5/72 (/ 1 (* r (PI))))) (pow s 3)))
(/.f32 (+.f32 (/.f32 #s(literal 7/324 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -5/72 binary32) (*.f32 r (PI.f32)))) (neg.f32 (*.f32 s (*.f32 s s))))
(* -1 (/ (- (* 7/324 (/ 1 (* s (PI)))) (* 5/72 (/ 1 (* r (PI))))) (pow s 3)))
(/.f32 (+.f32 (/.f32 #s(literal 7/324 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -5/72 binary32) (*.f32 r (PI.f32)))) (neg.f32 (*.f32 s (*.f32 s s))))
(* -1 (/ (- (* 7/324 (/ 1 (* s (PI)))) (* 5/72 (/ 1 (* r (PI))))) (pow s 3)))
(/.f32 (+.f32 (/.f32 #s(literal 7/324 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -5/72 binary32) (*.f32 r (PI.f32)))) (neg.f32 (*.f32 s (*.f32 s s))))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s) #s(literal 1 binary32))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(fma.f32 r (fma.f32 r (/.f32 (*.f32 r #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
(fma.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s (*.f32 s s))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (*.f32 #s(literal -1/18 binary32) (/.f32 (*.f32 r r) s))) s))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r (*.f32 r r)) s) (*.f32 #s(literal 1/18 binary32) (*.f32 r r))) s)) s))
(/ 1/18 (pow s 2))
(/.f32 #s(literal 1/18 binary32) (*.f32 s s))
(+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))
(fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))
(+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))
(fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))
(+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))
(fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))
(* -1/162 (/ r (pow s 3)))
(/.f32 (*.f32 r #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s)))
(* r (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(*.f32 r (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 r (*.f32 s s))) (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s)))))
(* r (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(*.f32 r (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 r (*.f32 s s))) (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s)))))
(* r (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(*.f32 r (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 r (*.f32 s s))) (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s)))))
(* -1/162 (/ r (pow s 3)))
(/.f32 (*.f32 r #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s)))
(* -1 (* r (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/162 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/18 binary32) (*.f32 r (*.f32 s s)))) (neg.f32 r))
(* -1 (* r (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/162 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/18 binary32) (*.f32 r (*.f32 s s)))) (neg.f32 r))
(* -1 (* r (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/162 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/18 binary32) (*.f32 r (*.f32 s s)))) (neg.f32 r))
(* -1/162 (/ r (pow s 3)))
(/.f32 (*.f32 r #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/162 r) (* 1/18 s)) (pow s 3))
(/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/162 r) (* 1/18 s)) (pow s 3))
(/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/162 r) (* 1/18 s)) (pow s 3))
(/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))
(/ 1/18 (pow s 2))
(/.f32 #s(literal 1/18 binary32) (*.f32 s s))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) s) #s(literal 1/18 binary32)) (*.f32 s s))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) s) #s(literal 1/18 binary32)) (*.f32 s s))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) s) #s(literal 1/18 binary32)) (*.f32 s s))
(/ 1/18 (pow s 2))
(/.f32 #s(literal 1/18 binary32) (*.f32 s s))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) s) #s(literal 1/18 binary32)) (*.f32 s s))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) s) #s(literal 1/18 binary32)) (*.f32 s s))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) s) #s(literal 1/18 binary32)) (*.f32 s s))

rewrite281.0ms (1.9%)

Memory
28.8MiB live, 385.4MiB allocated
Rules
5 128×lower-*.f64
5 090×lower-*.f32
4 296×lower-/.f64
4 264×lower-/.f32
3 360×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110689
0167681
1688617
27079617
08069601
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 693
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(*.f32 s (PI.f32))
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.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)
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) s))
(/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) s)
#s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
#s(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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))))
#s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))))))
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))
(*.f32 r r)
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s))
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(/.f32 #s(literal 1/3 binary32) s)
(*.f32 r (/.f32 #s(literal 1/3 binary32) s))
(+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))
(+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))))
#s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))
(fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))
Outputs
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (PI.f32) r))) (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 3/4 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) r)))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (PI.f32) r))))
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(/.f32 (-.f32 (/.f32 #s(literal 1/324 binary32) (*.f32 s (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 (*.f32 r #s(literal -1/162 binary32)) (*.f32 r #s(literal -1/162 binary32))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (-.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 (*.f32 r #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s)))))
(*.f32 (fma.f32 (/.f32 (*.f32 r #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 (*.f32 r #s(literal -1/162 binary32)) (*.f32 r #s(literal -1/162 binary32))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (*.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal 1/324 binary32) (*.f32 s (*.f32 s (*.f32 s s)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 (*.f32 r #s(literal -1/162 binary32)) (*.f32 s (*.f32 s s)))) (/.f32 (*.f32 (*.f32 r #s(literal -1/162 binary32)) (*.f32 r #s(literal -1/162 binary32))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))))))
(*.f32 (-.f32 (/.f32 (*.f32 (*.f32 r #s(literal -1/162 binary32)) (*.f32 r #s(literal -1/162 binary32))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/324 binary32) (*.f32 s (*.f32 s (*.f32 s s))))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (neg.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s))))))

eval139.0ms (1%)

Memory
-5.8MiB live, 254.2MiB allocated
Compiler

Compiled 51 536 to 3 366 computations (93.5% saved)

prune432.0ms (3%)

Memory
23.4MiB live, 776.7MiB allocated
Pruning

94 alts after pruning (91 fresh and 3 done)

PrunedKeptTotal
New1 411361 447
Fresh165571
Picked325
Done112
Total1 431941 525
Accuracy
99.8%
Counts
1 525 → 94
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
6.8%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) r) (*.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))))
7.5%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
4.7%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
▶8.2%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
8.2%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
8.2%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r #s(approx (+ (* r (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s)))) (/ -1/3 s)) (/.f32 (fma.f32 r (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 #s(literal -1/3 binary32) (*.f32 s s))) (*.f32 s (*.f32 s s)))) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
8.2%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r #s(approx (+ (* r (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s)))) (/ -1/3 s)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal -1/162 binary32) (*.f32 s s)) #s(literal -1/3 binary32))) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
8.2%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r #s(approx (+ (* r (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s)))) (/ -1/3 s)) (/.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 r #s(literal 1/18 binary32) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r r) s))) s)) (neg.f32 s))) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
8.2%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))) (neg.f32 s))) s)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
7.5%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
6.8%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 (PI.f32) r))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
6.8%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s r)) (/.f32 (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (PI.f32)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
8.2%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)))) s)))
98.4%
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
97.9%
(fma.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (PI.f32) (*.f32 s r)) #s(literal 6 binary32))) #s(literal -1 binary32))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
62.1%
(/.f32 (fma.f32 (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal -1/4 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))) (*.f32 (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))) (*.f32 r (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))))
99.5%
(/.f32 (*.f32 (fma.f32 r (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (exp.f32 (/.f32 r (neg.f32 s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (*.f32 r r))
99.1%
(/.f32 (*.f32 (fma.f32 r (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (exp.f32 (/.f32 r (neg.f32 s))))) #s(literal 1/8 binary32)) (*.f32 (*.f32 r r) (*.f32 s (PI.f32))))
99.6%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
99.6%
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))) (PI.f32))
8.2%
(+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 (PI.f32) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
99.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal -1 binary32))))
7.6%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
5.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 r (*.f32 r #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))) s)) s)))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
8.2%
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 (PI.f32) (*.f32 s r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
5.5%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
5.6%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 s (PI.f32)))) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/16 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
6.4%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
99.5%
(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) s) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
99.5%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (exp.f32 (log.f32 (PI.f32))))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
✓99.6%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
99.6%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
98.5%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
7.5%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
8.2%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
8.2%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (*.f32 (/.f32 (*.f32 r r) s) #s(literal -1/18 binary32))) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
6.7%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r))) (*.f32 s (*.f32 s s))))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
7.6%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
99.5%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 r (neg.f32 s))))))
5.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
5.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) #s(literal -1/6 binary32) (fma.f32 r (*.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32)) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))) s))
5.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (PI.f32)) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
5.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32)) (fma.f32 r (*.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32)) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))) s))
5.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
6.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
5.9%
#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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32))))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
5.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s))
5.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (fma.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (PI.f32))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
7.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
5.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 #s(approx (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (*.f32 r (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 r (PI.f32))))))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
3.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (fma.f32 (*.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) r) r (/.f32 (*.f32 r r) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) #s(literal -324/7 binary32))))) s))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 s (*.f32 s s)))) s))
7.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
4.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 r (*.f32 (/.f32 s (PI.f32)) #s(literal 5/72 binary32)) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 s (*.f32 s s)))) s))
6.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
5.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 r (*.f32 r (PI.f32))))) (+.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/6 binary32) (*.f32 r (*.f32 r (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))) s))
4.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 r (*.f32 r (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s s))))) s))
3.3%
#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 (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (PI))))) (/ -7/324 (* s (* s (* s (PI))))))) (*.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))))))) s))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) r) #s(literal 4 binary32)))))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
▶7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
✓7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
✓7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
7.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -5/72 binary32) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (*.f32 s s))))
6.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
2.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (fma.f32 (*.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))) r) r (/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s s))))))
4.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (/.f32 (fma.f32 r (*.f32 (/.f32 s (PI.f32)) #s(literal 5/72 binary32)) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (pow.f32 s #s(literal 4 binary32)))))
2.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s s)))) (*.f32 r r))))
2.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))) #s(literal 5/72 binary32) (/.f32 #s(literal -7/324 binary32) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s s)))))))
5.8%
#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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (-.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 #s(literal 1/6 binary32) r)) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 r r)))))))))
2.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 s s)) s))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))))
▶4.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
4.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 s s)) s)))))))
4.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.f32 s s))))))
4.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
99.5%
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (pow (exp -1) (* r (/ 1/3 s))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32)))))
▶7.2%
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
99.6%
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) r))) (*.f32 s (PI.f32))))
99.6%
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))))
Compiler

Compiled 5 490 to 3 347 computations (39% saved)

simplify481.0ms (3.3%)

Memory
14.9MiB live, 283.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (PI.f32) (*.f32 r s))
cost-diff0
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))
cost-diff64
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
cost-diff864
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
cost-diff160
(*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32)))
cost-diff192
(/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)
cost-diff288
(/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) s)) s)
cost-diff320
(fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s))
cost-diff0
(*.f32 r r)
cost-diff0
(*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))
cost-diff0
#s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.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))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.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
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
cost-diff0
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
cost-diff64
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r)))
cost-diff864
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
Rules
15 828×lower-fma.f64
15 816×lower-fma.f32
6 758×lower-*.f64
6 716×lower-*.f32
2 228×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01371101
02031061
14041013
21010978
32881970
44764949
56191945
08237930
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
r
(*.f32 s #s(literal -3 binary32))
s
#s(literal -3 binary32)
(*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))
(*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)
(*.f32 (PI.f32) #s(literal 6 binary32))
(PI.f32)
#s(literal 6 binary32)
#s(literal 3/4 binary32)
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r)))
(*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s))))
#s(literal 1/8 binary32)
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(*.f32 s (*.f32 (PI.f32) r))
(*.f32 (PI.f32) r)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (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))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s))))))
(*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))
(*.f32 r r)
r
#s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s))))
(/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))
(+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32))))
(/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32)))
#s(literal 5/72 binary32)
(*.f32 r (PI.f32))
(PI.f32)
(/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))
#s(literal -7/324 binary32)
(*.f32 s (PI.f32))
s
(*.f32 s (*.f32 s s))
(*.f32 s s)
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s)
(+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) s)) s)
(-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) s))
(/.f32 #s(literal -1/6 binary32) (PI.f32))
#s(literal -1/6 binary32)
(PI.f32)
(/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) s)
(fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s))
(/.f32 r (PI.f32))
r
#s(literal -5/72 binary32)
(/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)
(*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32)))
#s(literal 1/8 binary32)
(*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))
(/.f32 (*.f32 r r) (PI.f32))
(*.f32 r r)
#s(literal 14/81 binary32)
s
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 r (PI.f32))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))
#s(literal 1/6 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(PI.f32)
(*.f32 r s)
r
s
(*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))))
#s(literal 3/4 binary32)
#s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))
(fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))
(fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s))
#s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))
(fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32)))
#s(literal 1/18 binary32)
(*.f32 r #s(literal -1/162 binary32))
#s(literal -1/162 binary32)
(*.f32 s (*.f32 s s))
(*.f32 s s)
(/.f32 #s(literal -1/3 binary32) s)
#s(literal -1/3 binary32)
#s(literal 1 binary32)
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(exp.f32 (/.f32 r (neg.f32 s)))
(/.f32 r (neg.f32 s))
(neg.f32 s)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
#s(literal 1/8 binary32)
Outputs
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))))
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
r
(*.f32 s #s(literal -3 binary32))
s
#s(literal -3 binary32)
(*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)
(*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))
(*.f32 (PI.f32) #s(literal 6 binary32))
(PI.f32)
#s(literal 6 binary32)
#s(literal 3/4 binary32)
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s)))))
(*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s))))
(*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
#s(literal 1/8 binary32)
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 r (neg.f32 s))
(/.f32 (neg.f32 r) s)
(neg.f32 s)
(*.f32 s (*.f32 (PI.f32) r))
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 (PI.f32) r)
(*.f32 r (PI.f32))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/4 binary32)
(*.f32 (*.f32 (PI.f32) r) s)
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 (PI.f32) r)
(*.f32 r (PI.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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s))))))
(*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))
(*.f32 r r)
r
#s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s))))
(/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))
(+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32))))
(/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32)))
#s(literal 5/72 binary32)
(*.f32 r (PI.f32))
(PI.f32)
(/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))
#s(literal -7/324 binary32)
(*.f32 s (PI.f32))
s
(*.f32 s (*.f32 s s))
(*.f32 s s)
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))) s))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s)
(/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))) s)
(+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))
(/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) s)) s)
(fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) s))
(+.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (*.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal -7/324 binary32) s) #s(literal 5/72 binary32))) s))
(/.f32 #s(literal -1/6 binary32) (PI.f32))
#s(literal -1/6 binary32)
(PI.f32)
(/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) s)
(/.f32 (*.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal 7/324 binary32) s) #s(literal -5/72 binary32))) s)
(fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s))
(*.f32 (/.f32 r (PI.f32)) (fma.f32 r (/.f32 #s(literal 7/324 binary32) s) #s(literal -5/72 binary32)))
(/.f32 r (PI.f32))
r
#s(literal -5/72 binary32)
(/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)
(/.f32 (*.f32 r (*.f32 r #s(literal 7/324 binary32))) (*.f32 s (PI.f32)))
(*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32)))
(/.f32 (*.f32 r (*.f32 r #s(literal 7/324 binary32))) (PI.f32))
#s(literal 1/8 binary32)
(*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))
(/.f32 (*.f32 r r) (PI.f32))
(*.f32 r r)
#s(literal 14/81 binary32)
s
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 r (PI.f32))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(/.f32 #s(literal 1/6 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/6 binary32)
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 r (*.f32 s (PI.f32)))
(PI.f32)
(*.f32 r s)
r
s
(*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))))
(*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))))
#s(literal 3/4 binary32)
#s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))
#s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))
(fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))
(fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))
(fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s))
(fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s))
#s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s))))
#s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s))))
(/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))
(/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))
(fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32)))
(fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32)))
#s(literal 1/18 binary32)
(*.f32 r #s(literal -1/162 binary32))
#s(literal -1/162 binary32)
(*.f32 s (*.f32 s s))
(*.f32 s s)
(/.f32 #s(literal -1/3 binary32) s)
#s(literal -1/3 binary32)
#s(literal 1 binary32)
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s)))))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 r (neg.f32 s))
(/.f32 (neg.f32 r) s)
(neg.f32 s)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
#s(literal 1/8 binary32)

localize868.0ms (6%)

Memory
-203.6MiB live, 459.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.4756652141310741
(/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))
accuracy0.5116746794001679
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
accuracy0.5939416180995738
(fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s))
accuracy29.35509709061151
#s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))
accuracy0.3046875
(*.f32 r (PI.f32))
accuracy0.3359375
(/.f32 r (PI.f32))
accuracy0.421875
(/.f32 (*.f32 r r) (PI.f32))
accuracy29.666006598729645
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
accuracy0.30859375
(*.f32 s (PI.f32))
accuracy0.5846863281475362
(/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32)))
accuracy2.5609386725371683
#s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s))))))
accuracy29.666006598729645
#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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
accuracy0.2578125
(*.f32 (*.f32 (PI.f32) r) s)
accuracy0.3046875
(*.f32 (PI.f32) r)
accuracy0.3287887695368841
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s))
accuracy29.692653103618017
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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)))
accuracy0.2421875
(/.f32 r (*.f32 s #s(literal -3 binary32)))
accuracy0.24609375
(*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))
accuracy0.2578125
(*.f32 s (*.f32 (PI.f32) r))
accuracy0.3046875
(*.f32 (PI.f32) r)
Samples
714.0ms256×0valid
Compiler

Compiled 767 to 125 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 635.0ms
const: 309.0ms (48.6% of total)
ival-mult: 202.0ms (31.8% of total)
ival-div: 74.0ms (11.6% of total)
ival-exp: 27.0ms (4.2% of total)
ival-add: 15.0ms (2.4% of total)
ival-pow: 3.0ms (0.5% of total)
ival-neg: 2.0ms (0.3% of total)
ival-pi: 1.0ms (0.2% of total)
ival-sub: 1.0ms (0.2% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series65.0ms (0.4%)

Memory
31.0MiB live, 68.2MiB allocated
Counts
32 → 672
Calls
Call 1
Inputs
#s(alt (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r)))) (patch (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r)))) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))) (patch (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))) #<representation binary32>) () ())
#s(alt (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) (patch (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #<representation binary32>) () ())
#s(alt (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (patch (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.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))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s))))))) #<representation binary32>) () ())
#s(alt #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))) (patch #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s))))) (patch (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s))))) #<representation binary32>) () ())
#s(alt (*.f32 r r) (patch (*.f32 r r) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) (patch (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) s)) s) (patch (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) s)) s) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s) (patch (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s) #<representation binary32>) () ())
#s(alt (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) (patch (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))) (patch (fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))) #<representation binary32>) () ())
#s(alt (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) (patch (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (patch (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) (*.f32 r s)) (patch (*.f32 (PI.f32) (*.f32 r s)) #<representation binary32>) () ())
#s(alt (*.f32 s (*.f32 (PI.f32) r)) (patch (*.f32 s (*.f32 (PI.f32) r)) #<representation binary32>) () ())
#s(alt (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) (patch (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) #<representation binary32>) () ())
#s(alt (/.f32 r (*.f32 s #s(literal -3 binary32))) (patch (/.f32 r (*.f32 s #s(literal -3 binary32))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (patch (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 s (PI.f32)) (patch (*.f32 s (PI.f32)) #<representation binary32>) () ())
#s(alt #s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s)) (patch #s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s)) #<representation binary32>) () ())
#s(alt (/.f32 (*.f32 r r) (PI.f32)) (patch (/.f32 (*.f32 r r) (PI.f32)) #<representation binary32>) () ())
#s(alt (/.f32 r (PI.f32)) (patch (/.f32 r (PI.f32)) #<representation binary32>) () ())
#s(alt (*.f32 r (PI.f32)) (patch (*.f32 r (PI.f32)) #<representation binary32>) () ())
#s(alt #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (patch #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) (patch (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s))) (patch (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s))) #<representation binary32>) () ())
Outputs
#s(alt (/ 1/4 (* r (* s (PI)))) (taylor 0 r) (#s(alt (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r)))) (patch (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r) (taylor 0 r) (#s(alt (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r)))) (patch (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r) (taylor 0 r) (#s(alt (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r)))) (patch (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r) (taylor 0 r) (#s(alt (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r)))) (patch (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r) (taylor inf r) (#s(alt (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r)))) (patch (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r) (taylor inf r) (#s(alt (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r)))) (patch (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r) (taylor inf r) (#s(alt (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r)))) (patch (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r)))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* r (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2))))))) (taylor -inf r) (#s(alt (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s))) (patch (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s))) #<representation binary32>) () ())) ())
Calls

168 calls:

TimeVariablePointExpression
1.0ms
s
@-inf
(/ 1/4 (* (* (PI) r) s))
1.0ms
r
@0
(/ (- (/ -1/6 (PI)) (/ (+ (* (/ r (PI)) -5/72) (/ (* 1/8 (* (/ (* r r) (PI)) 14/81)) s)) s)) s)
1.0ms
r
@inf
(/ (- (/ -1/6 (PI)) (/ (+ (* (/ r (PI)) -5/72) (/ (* 1/8 (* (/ (* r r) (PI)) 14/81)) s)) s)) s)
1.0ms
s
@0
(/ (- (/ -1/6 (PI)) (/ (+ (* (/ r (PI)) -5/72) (/ (* 1/8 (* (/ (* r r) (PI)) 14/81)) s)) s)) s)
1.0ms
r
@inf
(+ (* (/ r (PI)) -5/72) (/ (* 1/8 (* (/ (* r r) (PI)) 14/81)) s))

simplify524.0ms (3.6%)

Memory
0.5MiB live, 268.8MiB allocated
Algorithm
1×egg-herbie
Rules
14 442×lower-fma.f64
14 442×lower-fma.f32
5 200×lower-*.f64
5 200×lower-*.f32
3 712×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05598481
116868164
247648020
084537813
Stop Event
1×iter limit
1×node limit
Counts
672 → 672
Calls
Call 1
Inputs
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
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(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/ 1/18 (pow s 2))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/ 1/18 (pow s 2))
(+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))
(+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))
(+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))
(* -1/162 (/ r (pow s 3)))
(* r (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(* r (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(* r (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(* -1/162 (/ r (pow s 3)))
(* -1 (* r (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))
(* -1 (* r (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))
(* -1 (* r (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))
Outputs
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 (PI.f32) (*.f32 s s))))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s))))
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 7/324 binary32)) (*.f32 s (PI.f32)))) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s)
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -1/48 (/ r (* (pow s 4) (PI)))) (* 1/16 (/ 1 (* (pow s 3) (PI)))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 s (*.f32 (PI.f32) (*.f32 s s))))) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) s)
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) (*.f32 s s))))
(/ (- (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/8 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/8 (* s (PI)))) s)
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(* -1 (/ (- (* 1/8 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* 1/48 (/ (pow r 2) (* s (PI))))) s)) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (*.f32 #s(literal -1/16 binary32) (/.f32 r (PI.f32)))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)
(/ 1/6 (* r (* s (PI))))
(/.f32 #s(literal 1/6 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (+ (* -1/18 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal -1/18 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 1/108 (/ r (* (pow s 3) (PI)))) (* 1/18 (/ 1 (* (pow s 2) (PI)))))) (* 1/6 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/108 binary32) (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal -1/18 binary32) (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -1/972 (/ r (* (pow s 4) (PI)))) (* 1/108 (/ 1 (* (pow s 3) (PI)))))) (* 1/18 (/ 1 (* (pow s 2) (PI)))))) (* 1/6 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) #s(literal -1/972 binary32) (/.f32 #s(literal 1/108 binary32) (*.f32 s (*.f32 (PI.f32) (*.f32 s s))))) (/.f32 #s(literal -1/18 binary32) (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32)))) r)
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/6 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(/ 1/6 (* r (* s (PI))))
(/.f32 #s(literal 1/6 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (- (* 1/6 (/ 1 (* r (PI)))) (* 1/18 (/ 1 (* s (PI))))) s)
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(fma.f32 #s(literal 1/18 binary32) (*.f32 r (/.f32 r (*.f32 s s))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32)))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
(fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (fma.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r (/.f32 r (*.f32 s (*.f32 s s))))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (*.f32 #s(literal -1/18 binary32) (/.f32 (*.f32 r r) s))) s))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r))) s)) (neg.f32 s))) s))
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))
(/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)
(- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))
(fma.f32 r (*.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s)))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s))
(- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))
(fma.f32 r (*.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s)))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s))
(* -1/162 (/ (pow r 2) (pow s 3)))
(*.f32 r (*.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s)))))
(* (pow r 2) (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 r (*.f32 s s))) (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s)))))
(* (pow r 2) (- (/ 1/18 (* r (pow s 2))) (+ (* 1/162 (/ 1 (pow s 3))) (/ 1/3 (* (pow r 2) s)))))
(*.f32 r (*.f32 r (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 r (*.f32 s s))) (+.f32 (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) (*.f32 r (*.f32 r s)))))))
(* (pow r 2) (- (/ 1/18 (* r (pow s 2))) (+ (* 1/162 (/ 1 (pow s 3))) (/ 1/3 (* (pow r 2) s)))))
(*.f32 r (*.f32 r (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 r (*.f32 s s))) (+.f32 (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) (*.f32 r (*.f32 r s)))))))
(* -1/162 (/ (pow r 2) (pow s 3)))
(*.f32 r (*.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s)))))
(* (pow r 2) (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 r (*.f32 s s))) (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s)))))
(* (pow r 2) (- (* -1 (/ (- (* 1/3 (/ 1 (* r s))) (* 1/18 (/ 1 (pow s 2)))) r)) (* 1/162 (/ 1 (pow s 3)))))
(*.f32 (*.f32 r r) (+.f32 (-.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 r (*.f32 r s))) (/.f32 #s(literal -1/18 binary32) (*.f32 r (*.f32 s s)))) (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s)))))
(* (pow r 2) (- (* -1 (/ (- (* 1/3 (/ 1 (* r s))) (* 1/18 (/ 1 (pow s 2)))) r)) (* 1/162 (/ 1 (pow s 3)))))
(*.f32 (*.f32 r r) (+.f32 (-.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 r (*.f32 r s))) (/.f32 #s(literal -1/18 binary32) (*.f32 r (*.f32 s s)))) (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s)))))
(* -1/162 (/ (pow r 2) (pow s 3)))
(*.f32 r (*.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s)))))
(/ (+ (* -1/162 (pow r 2)) (* 1/18 (* r s))) (pow s 3))
(/.f32 (*.f32 r (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32)))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/162 (pow r 2)) (* s (+ (* -1/3 s) (* 1/18 r)))) (pow s 3))
(/.f32 (fma.f32 r (*.f32 r #s(literal -1/162 binary32)) (*.f32 s (fma.f32 s #s(literal -1/3 binary32) (*.f32 r #s(literal 1/18 binary32))))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/162 (pow r 2)) (* s (+ (* -1/3 s) (* 1/18 r)))) (pow s 3))
(/.f32 (fma.f32 r (*.f32 r #s(literal -1/162 binary32)) (*.f32 s (fma.f32 s #s(literal -1/3 binary32) (*.f32 r #s(literal 1/18 binary32))))) (*.f32 s (*.f32 s s)))
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ (- (* 1/18 (/ r s)) 1/3) s)
(/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)
(/ (- (+ (* -1/162 (/ (pow r 2) (pow s 2))) (* 1/18 (/ r s))) 1/3) s)
(/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal -1/162 binary32) (*.f32 s s)) #s(literal -1/3 binary32))) s)
(/ (- (+ (* -1/162 (/ (pow r 2) (pow s 2))) (* 1/18 (/ r s))) 1/3) s)
(/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal -1/162 binary32) (*.f32 s s)) #s(literal -1/3 binary32))) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(* -1 (/ (+ 1/3 (* -1/18 (/ r s))) s))
(neg.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal -1/18 binary32) #s(literal 1/3 binary32)) s))
(* -1 (/ (+ 1/3 (* -1 (/ (+ (* -1/162 (/ (pow r 2) s)) (* 1/18 r)) s))) s))
(/.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r r) s) (*.f32 r #s(literal 1/18 binary32))) s)) (neg.f32 s))
(* -1 (/ (+ 1/3 (* -1 (/ (+ (* -1/162 (/ (pow r 2) s)) (* 1/18 r)) s))) s))
(/.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r r) s) (*.f32 r #s(literal 1/18 binary32))) s)) (neg.f32 s))
(* -1/162 (/ r (pow s 3)))
(*.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))))
(/ (+ (* -1/162 r) (* 1/18 s)) (pow s 3))
(/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/162 r) (* 1/18 s)) (pow s 3))
(/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))
(/ (+ (* -1/162 r) (* 1/18 s)) (pow s 3))
(/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))
(/ 1/18 (pow s 2))
(/.f32 #s(literal 1/18 binary32) (*.f32 s s))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) s) #s(literal 1/18 binary32)) (*.f32 s s))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) s) #s(literal 1/18 binary32)) (*.f32 s s))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) s) #s(literal 1/18 binary32)) (*.f32 s s))
(/ 1/18 (pow s 2))
(/.f32 #s(literal 1/18 binary32) (*.f32 s s))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) s) #s(literal 1/18 binary32)) (*.f32 s s))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) s) #s(literal 1/18 binary32)) (*.f32 s s))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) s) #s(literal 1/18 binary32)) (*.f32 s s))
(/ 1/18 (pow s 2))
(/.f32 #s(literal 1/18 binary32) (*.f32 s s))
(+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))
(fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))
(+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))
(fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))
(+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))
(fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))
(* -1/162 (/ r (pow s 3)))
(*.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))))
(* r (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(*.f32 r (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 r (*.f32 s s))) (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s)))))
(* r (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(*.f32 r (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 r (*.f32 s s))) (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s)))))
(* r (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(*.f32 r (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 r (*.f32 s s))) (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s)))))
(* -1/162 (/ r (pow s 3)))
(*.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))))
(* -1 (* r (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/162 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/18 binary32) (*.f32 r (*.f32 s s)))) (neg.f32 r))
(* -1 (* r (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/162 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/18 binary32) (*.f32 r (*.f32 s s)))) (neg.f32 r))
(* -1 (* r (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/162 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/18 binary32) (*.f32 r (*.f32 s s)))) (neg.f32 r))

rewrite397.0ms (2.7%)

Memory
-6.0MiB live, 497.8MiB allocated
Rules
6 202×lower-*.f64
6 160×lower-*.f32
4 946×lower-/.f64
4 906×lower-/.f32
4 516×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137684
0203664
1867632
08314623
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
32 → 606
Calls
Call 1
Inputs
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r)))
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 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))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s))))))
(*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))
(*.f32 r r)
(fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s))
(/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) s)) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)
(*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32)))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 s (*.f32 (PI.f32) r))
(*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32)))
(*.f32 s (PI.f32))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 14/81 binary32))) s)) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
(/.f32 (*.f32 r r) (PI.f32))
(/.f32 r (PI.f32))
(*.f32 r (PI.f32))
#s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))
(fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s))
(/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))
Outputs
(+.f32 (/.f32 (*.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) #s(literal 3/4 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))) (/.f32 (*.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) #s(literal 3/4 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32)) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(fma.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (*.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(fma.f32 (/.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(fma.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 (*.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) #s(literal 3/4 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 (*.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) #s(literal 3/4 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)) (/.f32 (*.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) #s(literal 3/4 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
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(/.f32 (fma.f32 (*.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 r r) (*.f32 #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))) #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))))) (/.f32 #s(literal -1/27 binary32) (*.f32 s (*.f32 s s)))) (fma.f32 r (*.f32 #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))) (*.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))))) (*.f32 (/.f32 #s(literal -1/3 binary32) s) (-.f32 (/.f32 #s(literal -1/3 binary32) s) (*.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))))))))
(/.f32 (fma.f32 (*.f32 r r) (*.f32 #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))) #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s))))) (neg.f32 (/.f32 #s(literal 1/9 binary32) (*.f32 s s)))) (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))) (neg.f32 (/.f32 #s(literal -1/3 binary32) s))))
(/.f32 (neg.f32 (fma.f32 (*.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 r r) (*.f32 #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))) #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))))) (/.f32 #s(literal -1/27 binary32) (*.f32 s (*.f32 s s))))) (neg.f32 (fma.f32 r (*.f32 #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))) (*.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))))) (*.f32 (/.f32 #s(literal -1/3 binary32) s) (-.f32 (/.f32 #s(literal -1/3 binary32) s) (*.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s))))))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 r r) (*.f32 #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))) #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s))))) (neg.f32 (/.f32 #s(literal 1/9 binary32) (*.f32 s s))))) (neg.f32 (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))) (neg.f32 (/.f32 #s(literal -1/3 binary32) s)))))
(/.f32 (+.f32 (/.f32 #s(literal -1/27 binary32) (*.f32 s (*.f32 s s))) (*.f32 (*.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 r r) (*.f32 #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))) #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))))))) (+.f32 (/.f32 #s(literal 1/9 binary32) (*.f32 s s)) (-.f32 (*.f32 (*.f32 r r) (*.f32 #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))) #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))))) (*.f32 (/.f32 #s(literal -1/3 binary32) s) (*.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))))))))
(/.f32 (-.f32 (/.f32 #s(literal 1/9 binary32) (*.f32 s s)) (*.f32 (*.f32 r r) (*.f32 #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))) #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s))))))) (-.f32 (/.f32 #s(literal -1/3 binary32) s) (*.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))))))
(*.f32 (fma.f32 (*.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 r r) (*.f32 #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))) #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))))) (/.f32 #s(literal -1/27 binary32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1 binary32) (fma.f32 r (*.f32 #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))) (*.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))))) (*.f32 (/.f32 #s(literal -1/3 binary32) s) (-.f32 (/.f32 #s(literal -1/3 binary32) s) (*.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s))))))))))
(*.f32 (fma.f32 (*.f32 r r) (*.f32 #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))) #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s))))) (neg.f32 (/.f32 #s(literal 1/9 binary32) (*.f32 s s)))) (/.f32 #s(literal 1 binary32) (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))) (neg.f32 (/.f32 #s(literal -1/3 binary32) s)))))
(neg.f32 (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (neg.f32 (*.f32 s (*.f32 s s)))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32)))) (*.f32 s (*.f32 s s))))
(pow.f32 (/.f32 (*.f32 s (*.f32 s s)) (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32)))) #s(literal -1 binary32))
(/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s s)) (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 s (*.f32 s s)) (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s s) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) s)))
(/.f32 (neg.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32)))) (neg.f32 (*.f32 s (*.f32 s s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s (*.f32 s s)) (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))))))
(/.f32 (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) s) (*.f32 s s))
(/.f32 (*.f32 (fma.f32 (*.f32 s (*.f32 s s)) #s(literal 1/5832 binary32) (*.f32 (*.f32 r #s(literal -1/162 binary32)) (*.f32 (*.f32 r r) #s(literal 1/26244 binary32)))) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 s s) #s(literal 1/324 binary32) (*.f32 (*.f32 r #s(literal -1/162 binary32)) (-.f32 (*.f32 r #s(literal -1/162 binary32)) (*.f32 s #s(literal 1/18 binary32))))) (*.f32 s (*.f32 s s))))
(/.f32 (*.f32 (-.f32 (*.f32 (*.f32 s s) #s(literal 1/324 binary32)) (*.f32 (*.f32 r r) #s(literal 1/26244 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 #s(literal 1/162 binary32) r)) (*.f32 s (*.f32 s s))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))))) (neg.f32 (neg.f32 (*.f32 s (*.f32 s s)))))
(/.f32 (neg.f32 (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) s)) (*.f32 s (neg.f32 s)))
(/.f32 (*.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) #s(literal 1 binary32)) (*.f32 s (*.f32 s s)))
(/.f32 (*.f32 (fma.f32 (*.f32 s (*.f32 s s)) #s(literal 1/5832 binary32) (*.f32 (*.f32 r #s(literal -1/162 binary32)) (*.f32 (*.f32 r r) #s(literal 1/26244 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s)))) (fma.f32 (*.f32 s s) #s(literal 1/324 binary32) (*.f32 (*.f32 r #s(literal -1/162 binary32)) (-.f32 (*.f32 r #s(literal -1/162 binary32)) (*.f32 s #s(literal 1/18 binary32))))))
(/.f32 (*.f32 (-.f32 (*.f32 (*.f32 s s) #s(literal 1/324 binary32)) (*.f32 (*.f32 r r) #s(literal 1/26244 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s)))) (fma.f32 s #s(literal 1/18 binary32) (*.f32 #s(literal 1/162 binary32) r)))
(*.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s))))
(*.f32 (neg.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 s (*.f32 s s)))))
(*.f32 (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) s) (/.f32 #s(literal 1 binary32) (*.f32 s s)))

eval151.0ms (1%)

Memory
22.9MiB live, 329.3MiB allocated
Compiler

Compiled 47 934 to 2 845 computations (94.1% saved)

prune653.0ms (4.5%)

Memory
-27.9MiB live, 1 180.0MiB allocated
Pruning

99 alts after pruning (93 fresh and 6 done)

PrunedKeptTotal
New1 345251 370
Fresh186886
Picked235
Done033
Total1 365991 464
Accuracy
99.8%
Counts
1 464 → 99
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
✓99.6%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
8.2%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) r) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))))
6.8%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (fma.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r (/.f32 r (*.f32 s (*.f32 s s))))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
6.8%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (*.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s)))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
7.6%
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
8.2%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 r (PI.f32)) s)) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
7.5%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
6.0%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 s #s(literal 1/18 binary32) (*.f32 r #s(literal -1/162 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) #s(approx (* (exp (/ r (neg s))) (/ 1/8 (* (PI) (* r s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
8.2%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (*.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
8.2%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
8.2%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r #s(approx (+ (* r (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s)))) (/ -1/3 s)) (/.f32 (fma.f32 r (*.f32 r #s(literal -1/162 binary32)) (*.f32 s (fma.f32 s #s(literal -1/3 binary32) (*.f32 r #s(literal 1/18 binary32))))) (*.f32 s (*.f32 s s)))) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
7.5%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
6.8%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s r)) (/.f32 (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (PI.f32)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
8.2%
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
8.2%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)))) s)))
8.1%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (/.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))))
98.4%
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
97.9%
(fma.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (PI.f32) (*.f32 s r)) #s(literal 6 binary32))) #s(literal -1 binary32))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
8.2%
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* s (* (* (PI) 6) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s) (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))) s)) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
7.6%
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* s (* (* (PI) 6) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 r (*.f32 s (PI.f32))))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
62.0%
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal -1/8 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 (*.f32 s (*.f32 r (neg.f32 (PI.f32)))) (*.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) #s(literal 3/4 binary32)))) (*.f32 (*.f32 s (*.f32 r (neg.f32 (PI.f32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
62.1%
(/.f32 (fma.f32 (*.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) #s(literal 3/4 binary32)) (*.f32 r (*.f32 s (PI.f32))) (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))))) (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 r (*.f32 s (PI.f32)))))
99.5%
(/.f32 (*.f32 (fma.f32 r (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (exp.f32 (/.f32 r (neg.f32 s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (*.f32 r r))
99.1%
(/.f32 (*.f32 (fma.f32 r (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (exp.f32 (/.f32 r (neg.f32 s))))) #s(literal 1/8 binary32)) (*.f32 (*.f32 r r) (*.f32 s (PI.f32))))
99.6%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
99.6%
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))) (PI.f32))
99.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal -1 binary32))))
7.6%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
5.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 r (*.f32 r #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))) s)) s)))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
8.2%
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 (PI.f32) (*.f32 s r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
5.5%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
5.6%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 s (PI.f32)))) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/16 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
6.4%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
99.5%
(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) s) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
99.5%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (exp.f32 (log.f32 (PI.f32))))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
✓99.6%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
99.6%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
98.5%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
7.5%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
8.2%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
8.2%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (*.f32 (/.f32 (*.f32 r r) s) #s(literal -1/18 binary32))) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
6.7%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r))) (*.f32 s (*.f32 s s))))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
7.6%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
99.5%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 r (neg.f32 s))))))
5.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
5.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) #s(literal -1/6 binary32) (fma.f32 r (*.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32)) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))) s))
5.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (PI.f32)) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
5.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32)) (fma.f32 r (*.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32)) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))))) s))
5.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
6.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
5.9%
#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 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32))))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
5.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 (fma.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r))) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (PI.f32))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
7.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
5.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 #s(approx (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (*.f32 r (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 r (PI.f32))))))) (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
3.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (fma.f32 (*.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) r) r (/.f32 (*.f32 r r) (*.f32 (*.f32 s (*.f32 s (*.f32 s (PI.f32)))) #s(literal -324/7 binary32))))) s))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 s (*.f32 s s)))) s))
7.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
6.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
5.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 r (*.f32 r (PI.f32))))) (+.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/6 binary32) (*.f32 r (*.f32 r (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))) s))
3.3%
#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 (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (PI))))) (/ -7/324 (* s (* s (* s (PI))))))) (*.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))))))) s))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) r) #s(literal 4 binary32)))))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s)))
✓7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
✓7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
✓7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
7.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -5/72 binary32) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (*.f32 s s))))
6.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (/.f32 #s(literal 1 binary32) (PI.f32))))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) s)))
7.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
2.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (fma.f32 (*.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))) r) r (/.f32 (*.f32 (*.f32 r r) #s(literal -7/324 binary32)) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s s))))))
2.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s s)))) (*.f32 r r))))
5.8%
#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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (-.f32 (/.f32 #s(literal 5/72 binary32) s) (/.f32 #s(literal 1/6 binary32) r)) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 r r)))))))))
2.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 s s)) s))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))))
4.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r (PI.f32)) #s(literal 72/5 binary32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
✓4.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
4.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 s s)) s)))))))
4.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.f32 s s))))))
4.9%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))))))
4.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (neg.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 7/324 binary32)) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
99.5%
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (pow (exp -1) (* r (/ 1/3 s))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32)))))
7.2%
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 #s(approx (+ (* (/ r (PI)) -5/72) (/ (* 1/8 (* (/ (* r r) (PI)) 14/81)) s)) (*.f32 r (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 7/324 binary32) (/.f32 #s(literal -5/72 binary32) (PI.f32))))) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
7.2%
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (+.f32 #s(approx (/ (- (/ -1/6 (PI)) (/ (+ (* (/ r (PI)) -5/72) (/ (* 1/8 (* (/ (* r r) (PI)) 14/81)) s)) s)) s) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (PI.f32)) (*.f32 (/.f32 s (PI.f32)) (fma.f32 r #s(literal 5/72 binary32) (*.f32 s #s(literal -1/6 binary32))))) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s))
99.6%
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) r))) (*.f32 s (PI.f32))))
99.6%
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))))
Compiler

Compiled 7 486 to 2 534 computations (66.2% saved)

regimes187.0ms (1.3%)

Memory
-13.2MiB live, 307.8MiB allocated
Counts
156 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 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)))
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(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (*.f32 (fma.f32 r (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (exp.f32 (/.f32 r (neg.f32 s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (*.f32 r r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))))) r))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(/.f32 (fma.f32 (*.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) #s(literal 3/4 binary32)) (*.f32 r (*.f32 s (PI.f32))) (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))))) (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal -1/8 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 (*.f32 s (*.f32 r (neg.f32 (PI.f32)))) (*.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) #s(literal 3/4 binary32)))) (*.f32 (*.f32 s (*.f32 r (neg.f32 (PI.f32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))))
(/.f32 (fma.f32 (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal -1/4 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))) (*.f32 (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))) (*.f32 r (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (cbrt.f32 (exp.f32 (/.f32 r (neg.f32 s)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) s) (+.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 r (/.f32 #s(literal 1/3 binary32) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (exp.f32 (log.f32 (PI.f32))))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(fma.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (PI.f32) (*.f32 s r)) #s(literal 6 binary32))) #s(literal -1 binary32))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 4/3 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal -1 binary32))))
Outputs
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
Calls

3 calls:

73.0ms
r
68.0ms
s
33.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
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)

regimes173.0ms (1.2%)

Memory
6.7MiB live, 239.8MiB allocated
Counts
145 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) r) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 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 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 r (*.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(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (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)))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 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))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.f32 s s))))))
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(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r #s(approx (+ (* r (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s)))) (/ -1/3 s)) (/.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 (fma.f32 r #s(literal 1/18 binary32) (*.f32 #s(literal -1/162 binary32) (/.f32 (*.f32 r r) s))) s)) (neg.f32 s))) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r #s(approx (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s))) (*.f32 (fma.f32 r #s(literal -1/162 binary32) (*.f32 s #s(literal 1/18 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r #s(approx (+ (* r (+ (* -1/162 (/ r (* s (* s s)))) (/ 1/18 (* s s)))) (/ -1/3 s)) (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal -1/162 binary32) (*.f32 s s)) #s(literal -1/3 binary32))) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 (PI.f32) r))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (*.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s)))) (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s)) #s(literal 1 binary32))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 #s(literal -1/162 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))) (neg.f32 s))) s)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r))) (*.f32 s (*.f32 s s))))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s r)) (/.f32 (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (PI.f32)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) r) (*.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (fma.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r (/.f32 r (*.f32 s (*.f32 s s))))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* s (* (* (PI) 6) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s) (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))) s)) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r))) (*.f32 s (*.f32 s s)))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32)) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32) (*.f32 (*.f32 r (/.f32 r (*.f32 s (PI.f32)))) #s(literal 1/1296 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (pow (exp -1) (* r (/ 1/3 s))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 r (neg.f32 s))))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
(/.f32 (*.f32 (fma.f32 r (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal 1/8 binary32)) (*.f32 (*.f32 r r) (*.f32 s (PI.f32))))
(/.f32 (*.f32 (fma.f32 r (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (exp.f32 (/.f32 r (neg.f32 s))))) #s(literal 1/8 binary32)) (*.f32 (*.f32 r r) (*.f32 s (PI.f32))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) r))) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 r (neg.f32 s)))))) (PI.f32))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s)))))) (PI.f32))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (*.f32 (fma.f32 r (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (exp.f32 (/.f32 r (neg.f32 s))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (*.f32 r r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))))) r))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Outputs
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
Calls

3 calls:

67.0ms
s
65.0ms
r
32.0ms
(+.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)

regimes182.0ms (1.3%)

Memory
-16.9MiB live, 270.2MiB allocated
Counts
141 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) r) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
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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 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 s (PI.f32))))) r))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
Outputs
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) r))) (*.f32 s (PI.f32))))
Calls

3 calls:

41.0ms
r
40.0ms
s
30.0ms
(+.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)

regimes140.0ms (1%)

Memory
1.6MiB live, 157.3MiB allocated
Counts
129 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 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 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) r) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 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 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 r (*.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(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (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(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.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))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (neg.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 7/324 binary32)) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (PI))))) (/ -7/324 (* s (* s (* s (PI))))))) (*.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))))))) 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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r (PI.f32)) #s(literal 72/5 binary32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 r (*.f32 r (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s s))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -5/72 binary32) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s s)))) (*.f32 r r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 r (*.f32 (/.f32 s (PI.f32)) #s(literal 5/72 binary32)) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 s (*.f32 s s)))) s))
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(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r))) (*.f32 s (*.f32 s s)))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32)) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32) (*.f32 (*.f32 r (/.f32 r (*.f32 s (PI.f32)))) #s(literal 1/1296 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (pow (exp -1) (* r (/ 1/3 s))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 s (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 r (neg.f32 s))))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) r) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (*.f32 s (PI.f32)) #s(literal 8 binary32)))
(/.f32 (*.f32 (fma.f32 r (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) #s(literal 1/8 binary32)) (*.f32 (*.f32 r r) (*.f32 s (PI.f32))))
(/.f32 (*.f32 (fma.f32 r (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (exp.f32 (/.f32 r (neg.f32 s))))) #s(literal 1/8 binary32)) (*.f32 (*.f32 r r) (*.f32 s (PI.f32))))
Outputs
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))))
Calls

3 calls:

56.0ms
s
36.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
35.0ms
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)

regimes106.0ms (0.7%)

Memory
18.9MiB live, 211.8MiB allocated
Counts
122 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) r) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 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 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 r (*.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(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (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(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.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))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (neg.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 7/324 binary32)) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (PI))))) (/ -7/324 (* s (* s (* s (PI))))))) (*.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))))))) 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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r (PI.f32)) #s(literal 72/5 binary32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 r (*.f32 r (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s s))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -5/72 binary32) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
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(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) r) (*.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (*.f32 (PI.f32) r)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (fma.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r (/.f32 r (*.f32 s (*.f32 s s))))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* s (* (* (PI) 6) r))) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/18 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) s)) s) (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))) s)) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) (/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r))) (*.f32 s (*.f32 s s)))))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 r (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal 1/1296 binary32)) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32))) s)) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/24 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -1/144 binary32) (*.f32 (*.f32 r (/.f32 r (*.f32 s (PI.f32)))) #s(literal 1/1296 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)))
Outputs
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 (PI.f32) (*.f32 s r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
Calls

3 calls:

40.0ms
s
33.0ms
r
26.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
8.2%1s
8.2%1r
8.2%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)

regimes79.0ms (0.5%)

Memory
-8.1MiB live, 148.4MiB allocated
Counts
92 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) r) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 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 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 r (*.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(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (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)))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
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#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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (neg.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 7/324 binary32)) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (PI))))) (/ -7/324 (* s (* s (* s (PI))))))) (*.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))))))) 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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r (PI.f32)) #s(literal 72/5 binary32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -5/72 binary32) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (*.f32 s s))))
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(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 r (*.f32 r #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))) s)) s)))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 s (PI.f32)))) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/16 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (*.f32 (/.f32 (*.f32 r r) s) #s(literal -1/18 binary32))) s))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/18 binary32) s) #s(literal -1/3 binary32)) s) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (fma.f32 r (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 s r))) (exp.f32 (/.f32 r (neg.f32 s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)))) s)))
Outputs
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
Calls

3 calls:

27.0ms
r
24.0ms
s
20.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
8.2%1r
8.2%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)))
8.2%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes74.0ms (0.5%)

Memory
3.9MiB live, 127.6MiB allocated
Counts
83 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) 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 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) r) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 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 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #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 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 r (*.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(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (neg.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 7/324 binary32)) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (PI))))) (/ -7/324 (* s (* s (* s (PI))))))) (*.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))))))) s))
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 r (*.f32 s s)) s))) (/.f32 #s(literal -7/324 binary32) (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32))))))))
(fma.f32 #s(approx (/ (exp (/ r (* s -3))) (* s (* (* (PI) 6) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 r (*.f32 s (PI.f32))))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/24 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) s)) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(approx (exp (/ r (* s -3))) #s(literal 1 binary32)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) #s(approx (exp (/ (neg r) s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 r (*.f32 r #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 r (/.f32 (*.f32 r r) s)))) s)) s)))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 (*.f32 r (/.f32 r (*.f32 s (PI.f32)))) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/16 binary32))) s)) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) #s(approx (exp (/ r (* s -3))) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32)))) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
Calls

3 calls:

24.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
23.0ms
s
22.0ms
r
Results
AccuracySegmentsBranch
7.6%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)))
7.6%1r
7.6%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes99.0ms (0.7%)

Memory
-2.2MiB live, 71.1MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) r) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 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 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 r (*.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(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (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(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.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))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (neg.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 7/324 binary32)) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (PI))))) (/ -7/324 (* s (* s (* s (PI))))))) (*.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))))))) 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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r (PI.f32)) #s(literal 72/5 binary32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 r (*.f32 r (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s s))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -5/72 binary32) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -7/324 binary32) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s s)))) (*.f32 r r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 r (*.f32 (/.f32 s (PI.f32)) #s(literal 5/72 binary32)) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal -7/324 binary32))) (*.f32 s (*.f32 s s)))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 (*.f32 r r) (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))))) s))
#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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))) #s(literal 5/72 binary32) (/.f32 #s(literal -7/324 binary32) (*.f32 (*.f32 s (*.f32 s (PI.f32))) (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)) s))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
Calls

3 calls:

35.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
12.0ms
r
12.0ms
s
Results
AccuracySegmentsBranch
7.6%1r
7.6%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)))
7.6%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes33.0ms (0.2%)

Memory
36.5MiB live, 73.4MiB 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 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) r) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 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 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 r (*.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(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (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(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.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))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (neg.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 7/324 binary32)) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (PI))))) (/ -7/324 (* s (* s (* s (PI))))))) (*.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))))))) 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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r (PI.f32)) #s(literal 72/5 binary32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 r (*.f32 r (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s s))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -5/72 binary32) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
Calls

3 calls:

12.0ms
r
10.0ms
s
8.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
7.6%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)))
7.6%1r
7.6%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes36.0ms (0.2%)

Memory
-14.2MiB live, 68.6MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) r) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 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 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 r (*.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(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (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(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.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))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (neg.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 7/324 binary32)) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (PI))))) (/ -7/324 (* s (* s (* s (PI))))))) (*.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))))))) 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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r (PI.f32)) #s(literal 72/5 binary32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 r (*.f32 r (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s s))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -5/72 binary32) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (*.f32 s s))))
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 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
Calls

3 calls:

14.0ms
s
12.0ms
r
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
7.6%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)))
7.6%1r
7.6%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes32.0ms (0.2%)

Memory
-2.1MiB live, 74.6MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s r) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) r) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) r) #s(literal 4 binary32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 (PI.f32) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 s r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s r)) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) s))
#s(approx (+ (/ (* 1/4 (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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (*.f32 (/.f32 #s(literal 1/4 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 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 s r)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 r (*.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(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (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(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.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))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 5/72 binary32)) (PI.f32))) (*.f32 s (*.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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4))))) (neg.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal 7/324 binary32)) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) #s(approx (* (* r r) (+ (/ 5/72 (* r (* s (* s (PI))))) (/ -7/324 (* s (* s (* s (PI))))))) (*.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))))))) 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)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) s) (*.f32 (*.f32 r r) #s(approx (+ (/ 5/72 (* r (* s (* s (* s (PI)))))) (/ -7/324 (* (PI) (pow s 4)))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r (PI.f32)) #s(literal 72/5 binary32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 s s)))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (*.f32 r (*.f32 r (/.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -7/324 binary32) (*.f32 s (PI.f32)))) (*.f32 s s))))) s))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
Calls

3 calls:

11.0ms
r
11.0ms
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
7.2%1r
7.2%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)))
7.2%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes25.0ms (0.2%)

Memory
13.0MiB live, 53.3MiB allocated
Accuracy

Total -0.9b remaining (-3.1%)

Threshold costs -0.9b (-3.1%)

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

3 calls:

11.0ms
r
7.0ms
s
5.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
7.2%1s
7.2%1r
7.2%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)

simplify15.0ms (0.1%)

Memory
-9.4MiB live, 28.4MiB allocated
Algorithm
1×egg-herbie
Rules
48×*-commutative_binary32
22×+-commutative_binary32
6×neg-sub0_binary32
6×neg-mul-1_binary32
6×sub-neg_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0152585
1189585
2195585
3200585
4203585
5204585
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) r))) (*.f32 s (PI.f32))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 (PI.f32) (*.f32 s r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
Outputs
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))) (*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 r (PI.f32)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 (PI.f32) r))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))))) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (*.f32 r (PI.f32)))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) r))) (*.f32 s (PI.f32))))
#s(approx (* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (* s -3))) r) (/ (exp (/ r (neg s))) r))) (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)))) (*.f32 r (*.f32 s (PI.f32)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 (PI.f32) (*.f32 s r))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 (PI.f32) (*.f32 r s))) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 #s(approx (exp (/ r (* s -3))) (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (+ (* (/ r (* s (* s (PI)))) 5/72) (/ 1/4 (* r (PI)))) (+ (* -7/324 (/ (* r r) (* s (* s (* s (PI)))))) (/ -1/6 (* s (PI))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (sqrt.f32 (PI.f32)) (*.f32 s (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 r (*.f32 s (PI.f32)))))

soundness1.5s (10.5%)

Memory
15.4MiB live, 1 281.7MiB allocated
Rules
14 624×lower-fma.f64
14 624×lower-fma.f32
14 442×lower-fma.f64
14 442×lower-fma.f32
8 582×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02421900
17561845
221131788
359561788
082271755
085453
0139448
1528414
25473406
08794405
06017407
118027204
250617133
081886950
0110689
0167681
1688617
27079617
08069601
05598481
116868164
247648020
084537813
02590
04390
114279
2131271
0945671
0137684
0203664
1867632
08314623
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 568 to 263 computations (53.7% saved)

preprocess86.0ms (0.6%)

Memory
22.9MiB live, 174.0MiB allocated
Compiler

Compiled 644 to 240 computations (62.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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