Disney BSSRDF, PDF of scattering profile

Time bar (total: 15.6s)

analyze103.0ms (0.7%)

Memory
13.8MiB live, 172.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%2.1%97.9%0%0%0%0
0%0%2.1%97.9%0%0%0%1
0%0%2.1%97.9%0%0%0%2
25%0.5%1.5%97.9%0%0%0%3
37.5%0.8%1.3%97.9%0%0%0%4
56.2%1.2%0.9%97.9%0%0%0%5
65.6%1.3%0.7%97.9%0%0%0%6
76.6%1.6%0.5%97.9%0%0%0%7
82%1.7%0.4%97.9%0%0%0%8
87.9%1.8%0.2%97.9%0%0%0%9
90.8%1.9%0.2%97.9%0%0%0%10
93.8%1.9%0.1%97.9%0%0%0%11
95.4%2%0.1%97.9%0%0%0%12
Compiler

Compiled 49 to 37 computations (24.5% saved)

sample2.4s (15.4%)

Memory
-168.3MiB live, 3 615.9MiB allocated
Samples
1.9s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult: 457.0ms (34% of total)
ival-div: 250.0ms (18.6% of total)
const: 211.0ms (15.7% of total)
ival-exp: 131.0ms (9.7% of total)
ival-neg: 64.0ms (4.8% of total)
ival-<: 63.0ms (4.7% of total)
ival-<=: 45.0ms (3.3% of total)
ival-add: 34.0ms (2.5% of total)
ival-pi: 32.0ms (2.4% of total)
exact: 31.0ms (2.3% of total)
ival-and: 25.0ms (1.9% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess302.0ms (1.9%)

Memory
12.0MiB live, 360.4MiB allocated
Algorithm
egg-herbie
Rules
5 478×/-lowering-/.f32
5 478×/-lowering-/.f64
5 136×*-lowering-*.f32
5 136×*-lowering-*.f64
2 508×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057175
1192140
2929102
35143102
02533
16528
223422
387020
4244120
5314820
6350620
7391820
8432020
9433220
10523120
11542620
12543920
13544120
14551920
15551920
0833320
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
Outputs
(+ (/ (* 1/4 (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 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))

explain254.0ms (1.6%)

Memory
21.1MiB live, 533.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
16(2.4258089979412034e-5 0.022655991837382317)1(23.873334884643555 3607.39013671875)(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
13(6.717957148794085e-5 0.025861302390694618)1(0.38274070620536804 12.579472541809082)(exp.f32 (/.f32 (neg.f32 r) s))
00-0-(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
00-0-(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
00-0-(PI.f32)
00-0-#s(literal 2 binary32)
00-0-(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
00-0-(*.f32 #s(literal 6 binary32) (PI.f32))
00-0-(/.f32 (*.f32 #s(literal 3/4 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)
00-0-(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
00-0-(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
00-0-(*.f32 #s(literal 3 binary32) s)
00-0-(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
00-0-#s(literal 6 binary32)
00-0-r
00-0-#s(literal 3 binary32)
00-0-(*.f32 #s(literal 2 binary32) (PI.f32))
00-0-(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))sensitivity61
exp.f32(exp.f32 (/.f32 (neg.f32 r) s))sensitivity33
Confusion
Predicted +Predicted -
+10
-6249
Precision
0.14285714285714285
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-63246
Precision?
0.1
Recall?
1.0
Freqs
test
numberfreq
0249
15
22
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
79.0ms512×0valid
Compiler

Compiled 366 to 104 computations (71.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 25.0ms (43.6% of total)
ival-div: 15.0ms (26.2% of total)
ival-exp: 7.0ms (12.2% of total)
ival-neg: 4.0ms (7% of total)
ival-pi: 2.0ms (3.5% of total)
ival-add: 2.0ms (3.5% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (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)

simplify249.0ms (1.6%)

Memory
15.4MiB live, 367.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff64
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
cost-diff160
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
cost-diff224
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
cost-diff768
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Rules
5 478×/-lowering-/.f32
5 478×/-lowering-/.f64
5 136×*-lowering-*.f32
5 136×*-lowering-*.f64
2 508×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025146
165133
2234125
3870121
42441121
53148121
63506121
73918121
84320121
94332121
105231121
115426121
125439121
135441121
145519121
155519121
08333121
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(* 1/4 (exp (/ (neg r) s)))
1/4
(exp (/ (neg r) s))
(/ (neg r) s)
(neg r)
r
s
(* (* (* 2 (PI)) s) r)
(* (* 2 (PI)) s)
(* 2 (PI))
2
(PI)
(/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))
(* 3/4 (exp (/ (neg r) (* 3 s))))
3/4
(exp (/ (neg r) (* 3 s)))
(/ (neg r) (* 3 s))
(* 3 s)
3
(* (* (* 6 (PI)) s) r)
(* (* 6 (PI)) s)
(* 6 (PI))
6
Outputs
(+ (/ (* 1/4 (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 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/4 (exp (/ (neg r) s)))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
1/4
#s(literal 1/4 binary32)
(exp (/ (neg r) s))
(exp.f32 (/.f32 (neg.f32 r) s))
(/ (neg r) s)
(/.f32 (neg.f32 r) s)
(neg r)
(neg.f32 r)
r
s
(* (* (* 2 (PI)) s) r)
(*.f32 r (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))))
(* (* 2 (PI)) s)
(*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32)))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
(/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))
(*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(* 3/4 (exp (/ (neg r) (* 3 s))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))
3/4
#s(literal 3/4 binary32)
(exp (/ (neg r) (* 3 s)))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/ (neg r) (* 3 s))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(* 3 s)
(*.f32 s #s(literal 3 binary32))
3
#s(literal 3 binary32)
(* (* (* 6 (PI)) s) r)
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* (* 6 (PI)) s)
(*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))
(* 6 (PI))
(*.f32 (PI.f32) #s(literal 6 binary32))
6
#s(literal 6 binary32)

localize250.0ms (1.6%)

Memory
-28.8MiB live, 114.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.2%
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
accuracy99.2%
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
accuracy99.1%
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
Samples
57.0ms256×0valid
Compiler

Compiled 148 to 27 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-div: 24.0ms (56.2% of total)
ival-mult: 11.0ms (25.7% of total)
ival-exp: 4.0ms (9.4% of total)
ival-pi: 1.0ms (2.3% of total)
ival-add: 1.0ms (2.3% of total)
exact: 1.0ms (2.3% of total)
ival-neg: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series28.0ms (0.2%)

Memory
15.6MiB live, 53.4MiB allocated
Counts
7 → 156
Calls
Call 1
Inputs
#<alt (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))>
#<alt (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))>
#<alt (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))>
#<alt (/ (neg r) (* 3 s))>
#<alt (* (* 2 (PI)) s)>
#<alt (* (* (* 6 (PI)) s) r)>
#<alt (* (* (* 2 (PI)) s) r)>
Outputs
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<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)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* 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)>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/8 (* s (PI)))) s)>
#<alt (/ (- (+ (* -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)>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (* -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))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* 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)>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)>
#<alt (/ (- (+ (* -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)>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (* -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))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 6 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
Calls

39 calls:

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

rewrite614.0ms (3.9%)

Memory
23.4MiB live, 443.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 444×accelerator-lowering-fma.f32
6 444×accelerator-lowering-fma.f64
6 424×/-lowering-/.f32
6 424×/-lowering-/.f64
4 548×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02590
112479
2129571
0944671
Stop Event
iter limit
node limit
Counts
7 → 546
Calls
Call 1
Inputs
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))
(/ (neg r) (* 3 s))
(* (* 2 (PI)) s)
(* (* (* 6 (PI)) s) r)
(* (* (* 2 (PI)) s) r)
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)))) (neg.f32 (*.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 #s(literal 1/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(literal 3/4 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.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(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))))
(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 (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 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(literal 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 (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 #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 (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)))))
(fma.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 #s(literal 1 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))))
(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 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (pow.f32 (/.f32 #s(literal 4/3 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(literal -1 binary32)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (pow.f32 (/.f32 #s(literal 4 binary32) (exp.f32 (/.f32 r (neg.f32 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 -1 binary32) (neg.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)))))
(fma.f32 #s(literal -1 binary32) (neg.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)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) r) (*.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))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1 binary32) 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)))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s)))) #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)))))
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(*.f32 (pow.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(literal 4 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(literal 4 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(literal -1/2 binary32)))
(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 (*.f32 s #s(literal -3 binary32)) r)) #s(literal -1 binary32)))
(+.f32 #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(+.f32 (*.f32 (/.f32 #s(literal 1/3 binary32) s) #s(literal 0 binary32)) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(pow.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1/3 binary32) s) #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(-.f32 #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal 3 binary32))))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(/.f32 (neg.f32 r) (*.f32 s #s(literal 3 binary32)))
(/.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal -3 binary32)) r))
(/.f32 (/.f32 #s(literal 1/3 binary32) s) (/.f32 #s(literal -1 binary32) r))
(/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -3 binary32) r))
(/.f32 #s(literal -1 binary32) (/.f32 (*.f32 s #s(literal 3 binary32)) r))
(/.f32 (/.f32 r s) #s(literal -3 binary32))
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
(/.f32 #s(literal 1/3 binary32) (/.f32 s (neg.f32 r)))
(/.f32 (*.f32 r #s(literal 1/3 binary32)) (neg.f32 s))
(/.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 3 binary32) r))
(/.f32 #s(literal -1/3 binary32) (/.f32 s r))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))) (/.f32 r (*.f32 s #s(literal 3 binary32))) (*.f32 #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal 3 binary32)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))) (/.f32 r (*.f32 s #s(literal 3 binary32))))) (+.f32 #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal 3 binary32)))))
(/.f32 (/.f32 r #s(literal -1 binary32)) (*.f32 s #s(literal 3 binary32)))
(/.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) #s(literal -1 binary32)) s)
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(*.f32 (neg.f32 r) (/.f32 #s(literal 1/3 binary32) s))
(*.f32 (/.f32 r (neg.f32 s)) #s(literal 1/3 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(*.f32 (/.f32 #s(literal 1/3 binary32) s) (neg.f32 r))
(*.f32 (/.f32 #s(literal 1/3 binary32) s) (pow.f32 (/.f32 #s(literal -1 binary32) r) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 r #s(literal -1/3 binary32)))
(*.f32 #s(literal -1 binary32) (/.f32 r (*.f32 s #s(literal 3 binary32))))
(*.f32 (*.f32 r #s(literal -1/3 binary32)) (/.f32 #s(literal 1 binary32) s))
(*.f32 #s(literal 1/3 binary32) (/.f32 r (neg.f32 s)))
(*.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 r #s(literal 1/3 binary32)))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(*.f32 (pow.f32 (*.f32 s #s(literal -1 binary32)) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 3 binary32) r) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r) #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 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))))
(-.f32 #s(literal 0 binary32) (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))))
(/.f32 (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(/.f32 (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))) #s(literal -1 binary32))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(*.f32 r (neg.f32 (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))
(*.f32 (neg.f32 r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))))
(*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))
(*.f32 (PI.f32) (*.f32 #s(literal 6 binary32) (*.f32 r s)))
(*.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 r s))
(*.f32 (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))) r)
(*.f32 (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(*.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 r (neg.f32 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))
(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(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(/.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))) #s(literal -1 binary32))
(*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))
(*.f32 r (neg.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))
(*.f32 (neg.f32 r) (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32)))
(*.f32 s (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) r))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 s (PI.f32)) r))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (*.f32 r s)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 r s))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))) r)
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(*.f32 #s(literal -1 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))
(*.f32 (*.f32 r s) (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32)) (neg.f32 r))
(*.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (*.f32 r (neg.f32 s)))
(*.f32 (*.f32 r #s(literal 2 binary32)) (*.f32 s (PI.f32)))
(*.f32 (*.f32 r (*.f32 #s(literal 2 binary32) (PI.f32))) s)
(*.f32 (neg.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))) r)
(*.f32 (neg.f32 (*.f32 (PI.f32) #s(literal -2 binary32))) (*.f32 r s))

simplify674.0ms (4.3%)

Memory
15.3MiB live, 520.3MiB allocated
Algorithm
egg-herbie
Rules
14 624×accelerator-lowering-fma.f32
14 624×accelerator-lowering-fma.f64
5 362×*-lowering-*.f32
5 362×*-lowering-*.f64
2 476×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02421900
17561845
221131788
359491788
082201755
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/8 (* r (* s (PI))))
(/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -1/48 (/ r (* (pow s 4) (PI)))) (* 1/16 (/ 1 (* (pow s 3) (PI)))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/ 1/8 (* r (* s (PI))))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/8 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/8 (* s (PI)))) s)
(/ 1/8 (* r (* s (PI))))
(* -1 (/ (- (* 1/8 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* 1/48 (/ (pow r 2) (* s (PI))))) s)) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/ 1/8 (* r (* s (PI))))
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -1/1296 (/ r (* (pow s 4) (PI)))) (* 1/144 (/ 1 (* (pow s 3) (PI)))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/ 1/8 (* r (* s (PI))))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)
(/ (- (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/24 (* s (PI)))) s)
(/ 1/8 (* r (* s (PI))))
(* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/144 (/ r (PI))) (* 1/1296 (/ (pow r 2) (* s (PI))))) s)) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* -1/3 (/ r s))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 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))))
(* 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))))
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)
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(/ (+ (* 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)
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(* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/144 (/ r (PI))) (* 1/1296 (/ (pow r 2) (* s (PI))))) s)) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s)
(* -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))
(* -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 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 6 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 s (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))))

eval70.0ms (0.4%)

Memory
9.9MiB live, 154.4MiB allocated
Compiler

Compiled 26 733 to 1 724 computations (93.6% saved)

prune125.0ms (0.8%)

Memory
-22.7MiB live, 272.1MiB allocated
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New67923702
Fresh000
Picked101
Done000
Total68023703
Accuracy
99.8%
Counts
703 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 3/4 binary32) r) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
97.8%
(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)))))
97.7%
(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)))))
62.9%
(/.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(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32)))))
6.5%
(/.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)
8.7%
(/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
8.0%
(/.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)
7.0%
(/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s)
8.7%
(/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
99.7%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
8.7%
(+.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)))))
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)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s))
9.3%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
99.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))
9.2%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s))
9.3%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.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))
8.6%
(+.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 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
97.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
8.0%
(+.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)))))
53.1%
(*.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 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))))
99.7%
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
99.7%
(*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) s))
Compiler

Compiled 1 484 to 948 computations (36.1% saved)

simplify354.0ms (2.3%)

Memory
10.3MiB live, 530.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))
cost-diff0
(+.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))))
cost-diff0
(/.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)
cost-diff512
(*.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)))))
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)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
cost-diff96
(fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
cost-diff224
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
cost-diff0
(/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s))
cost-diff0
(/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
cost-diff64
(+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
cost-diff320
(fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32))))
cost-diff0
(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
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) 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-diff352
(/.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))))
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 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))
Rules
8 046×accelerator-lowering-fma.f32
8 046×accelerator-lowering-fma.f64
5 844×*-lowering-*.f32
5 844×*-lowering-*.f64
2 666×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070626
1171618
2414608
31048577
42346571
52815571
63236571
73642571
83893571
93945571
106279571
116904571
126964571
137003571
147003571
157051571
167077571
177077571
08187560
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (* (exp (/ r (* s -3))) -3/4) r) (* s (* (PI) -6))))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(* 1/4 (exp (/ (neg r) s)))
1/4
(exp (/ (neg r) s))
(/ (neg r) s)
(neg r)
r
s
(* (* (* 2 (PI)) s) r)
(* (* 2 (PI)) s)
(* 2 (PI))
2
(PI)
(/ (/ (* (exp (/ r (* s -3))) -3/4) r) (* s (* (PI) -6)))
(/ (* (exp (/ r (* s -3))) -3/4) r)
(* (exp (/ r (* s -3))) -3/4)
(exp (/ r (* s -3)))
(/ r (* s -3))
(* s -3)
-3
-3/4
(* s (* (PI) -6))
(* (PI) -6)
-6
(/ 1/4 (* r (* s (PI))))
1/4
(* r (* s (PI)))
r
(* s (PI))
s
(PI)
(/ (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ 1/4 (* r (PI))) (/ -1/6 (* s (PI))))) s)
(+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ 1/4 (* r (PI))) (/ -1/6 (* s (PI)))))
(/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s))
(+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI))))
r
(/ 5/72 (PI))
5/72
(PI)
(/ (* -7/324 (* r r)) (* s (PI)))
(* -7/324 (* r r))
-7/324
(* r r)
(* s (PI))
s
(* s s)
(+ (/ 1/4 (* r (PI))) (/ -1/6 (* s (PI))))
(/ 1/4 (* r (PI)))
1/4
(* r (PI))
(/ -1/6 (* s (PI)))
-1/6
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) r))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(* 1/4 (exp (/ (neg r) s)))
1/4
(exp (/ (neg r) s))
(/ (neg r) s)
(neg r)
r
s
(* (* (* 2 (PI)) s) r)
(* (* 2 (PI)) s)
(* 2 (PI))
2
(PI)
(/ (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) r)
(+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI))))
(/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))
(+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI)))
(/ 1/144 (* s (PI)))
1/144
(* s (PI))
(/ -1/24 (PI))
-1/24
(* s s)
(/ 1/8 (* s (PI)))
1/8
(/ (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))) r)
(* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI)))))
1/8
(+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))
(/ (exp (/ r (neg s))) (* s (PI)))
(exp (/ r (neg s)))
(/ r (neg s))
r
(neg s)
s
(* s (PI))
(PI)
(/ (exp (* (/ r s) -1/3)) (* s (PI)))
(exp (* (/ r s) -1/3))
(* (/ r s) -1/3)
(/ r s)
-1/3
Outputs
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (* (exp (/ r (* s -3))) -3/4) r) (* s (* (PI) -6))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (*.f32 r (*.f32 s (PI.f32))))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
(* 1/4 (exp (/ (neg r) s)))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (neg.f32 (/.f32 r s))))
1/4
#s(literal 1/4 binary32)
(exp (/ (neg r) s))
(exp.f32 (neg.f32 (/.f32 r s)))
(/ (neg r) s)
(neg.f32 (/.f32 r s))
(neg r)
(neg.f32 r)
r
s
(* (* (* 2 (PI)) s) r)
(*.f32 r (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))))
(* (* 2 (PI)) s)
(*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32)))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
(/ (/ (* (exp (/ r (* s -3))) -3/4) r) (* s (* (PI) -6)))
(*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/ (* (exp (/ r (* s -3))) -3/4) r)
(*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) r))
(* (exp (/ r (* s -3))) -3/4)
(*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32))
(exp (/ r (* s -3)))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(/ r (* s -3))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(* s -3)
(*.f32 s #s(literal -3 binary32))
-3
#s(literal -3 binary32)
-3/4
#s(literal -3/4 binary32)
(* s (* (PI) -6))
(*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))
(* (PI) -6)
(*.f32 (PI.f32) #s(literal -6 binary32))
-6
#s(literal -6 binary32)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
1/4
#s(literal 1/4 binary32)
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
r
(* s (PI))
(*.f32 s (PI.f32))
s
(PI)
(PI.f32)
(/ (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ 1/4 (* r (PI))) (/ -1/6 (* s (PI))))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (PI.f32)) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 r s) #s(literal 5/72 binary32)) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ 1/4 (* r (PI))) (/ -1/6 (* s (PI)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (PI.f32)) (/.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 r s) #s(literal 5/72 binary32)) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))
(/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s))
(/.f32 (*.f32 (/.f32 r (PI.f32)) (fma.f32 #s(literal -7/324 binary32) (/.f32 r s) #s(literal 5/72 binary32))) (*.f32 s s))
(+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI))))
(*.f32 (/.f32 r (PI.f32)) (fma.f32 #s(literal -7/324 binary32) (/.f32 r s) #s(literal 5/72 binary32)))
r
(/ 5/72 (PI))
(/.f32 #s(literal 5/72 binary32) (PI.f32))
5/72
#s(literal 5/72 binary32)
(PI)
(PI.f32)
(/ (* -7/324 (* r r)) (* s (PI)))
(*.f32 #s(literal -7/324 binary32) (*.f32 r (/.f32 r (*.f32 s (PI.f32)))))
(* -7/324 (* r r))
(*.f32 r (*.f32 r #s(literal -7/324 binary32)))
-7/324
#s(literal -7/324 binary32)
(* r r)
(*.f32 r r)
(* s (PI))
(*.f32 s (PI.f32))
s
(* s s)
(*.f32 s s)
(+ (/ 1/4 (* r (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))))
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
1/4
#s(literal 1/4 binary32)
(* r (PI))
(*.f32 r (PI.f32))
(/ -1/6 (* s (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
-1/6
#s(literal -1/6 binary32)
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) r))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s)))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 r (fma.f32 r (/.f32 #s(literal 1/144 binary32) s) #s(literal -1/24 binary32))) (PI.f32)) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
(* 1/4 (exp (/ (neg r) s)))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (neg.f32 (/.f32 r s))))
1/4
#s(literal 1/4 binary32)
(exp (/ (neg r) s))
(exp.f32 (neg.f32 (/.f32 r s)))
(/ (neg r) s)
(neg.f32 (/.f32 r s))
(neg r)
(neg.f32 r)
r
s
(* (* (* 2 (PI)) s) r)
(*.f32 r (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))))
(* (* 2 (PI)) s)
(*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32)))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
(/ (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) r)
(/.f32 (+.f32 (/.f32 (/.f32 (*.f32 r (fma.f32 r (/.f32 #s(literal 1/144 binary32) s) #s(literal -1/24 binary32))) (PI.f32)) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI))))
(+.f32 (/.f32 (/.f32 (*.f32 r (fma.f32 r (/.f32 #s(literal 1/144 binary32) s) #s(literal -1/24 binary32))) (PI.f32)) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))
(/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s))
(+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI)))
(fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32)))
(/ 1/144 (* s (PI)))
(/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32)))
1/144
#s(literal 1/144 binary32)
(* s (PI))
(*.f32 s (PI.f32))
(/ -1/24 (PI))
(/.f32 #s(literal -1/24 binary32) (PI.f32))
-1/24
#s(literal -1/24 binary32)
(* s s)
(*.f32 s s)
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
1/8
#s(literal 1/8 binary32)
(/ (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))) r)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) r)
(* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))))
1/8
#s(literal 1/8 binary32)
(+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))
(+.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))))
(/ (exp (/ r (neg s))) (* s (PI)))
(/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32)))
(exp (/ r (neg s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(/ r (neg s))
(neg.f32 (/.f32 r s))
r
(neg s)
(neg.f32 s)
s
(* s (PI))
(*.f32 s (PI.f32))
(PI)
(PI.f32)
(/ (exp (* (/ r s) -1/3)) (* s (PI)))
(/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))
(exp (* (/ r s) -1/3))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(* (/ r s) -1/3)
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(/ r s)
(/.f32 r s)
-1/3
#s(literal -1/3 binary32)

localize358.0ms (2.3%)

Memory
-39.3MiB live, 595.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
accuracy99.8%
(exp.f32 (/.f32 r (neg.f32 s)))
accuracy98.9%
(*.f32 s (PI.f32))
accuracy98.7%
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
accuracy99.0%
(/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32)))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
accuracy98.9%
(*.f32 s (PI.f32))
accuracy98.5%
(/.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)
accuracy99.0%
(*.f32 r (PI.f32))
accuracy98.9%
(*.f32 s (PI.f32))
accuracy98.8%
(/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))
accuracy98.8%
(/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))
accuracy100.0%
(PI.f32)
accuracy99.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
accuracy99.2%
(*.f32 r (*.f32 s (PI.f32)))
accuracy98.9%
(*.f32 s (PI.f32))
accuracy99.8%
(exp.f32 (/.f32 (neg.f32 r) s))
accuracy99.2%
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
accuracy99.2%
(/.f32 r (*.f32 s #s(literal -3 binary32)))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
Samples
257.0ms256×0valid
Compiler

Compiled 616 to 72 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 226.0ms
ival-div: 79.0ms (35% of total)
const: 64.0ms (28.4% of total)
ival-mult: 60.0ms (26.6% of total)
ival-add: 11.0ms (4.9% of total)
ival-exp: 7.0ms (3.1% of total)
ival-neg: 2.0ms (0.9% of total)
ival-pi: 1.0ms (0.4% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series58.0ms (0.4%)

Memory
-8.8MiB live, 150.1MiB allocated
Counts
30 → 636
Calls
Call 1
Inputs
#<alt (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (* (exp (/ r (* s -3))) -3/4) r) (* s (* (PI) -6))))>
#<alt (/ (/ (* (exp (/ r (* s -3))) -3/4) r) (* s (* (PI) -6)))>
#<alt (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))>
#<alt (* 1/4 (exp (/ (neg r) s)))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (* r (* s (PI)))>
#<alt (* s (PI))>
#<alt (PI)>
#<alt (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI))))>
#<alt (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ 1/4 (* r (PI))) (/ -1/6 (* s (PI)))))>
#<alt (/ (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ 1/4 (* r (PI))) (/ -1/6 (* s (PI))))) s)>
#<alt (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s))>
#<alt (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI))))>
#<alt (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) r))>
#<alt (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI)))))>
#<alt (/ (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))) r)>
#<alt (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))>
#<alt (/ (exp (/ r (neg s))) (* s (PI)))>
#<alt (* (* 2 (PI)) s)>
#<alt (/ r (* s -3))>
#<alt (* (* (* 2 (PI)) s) r)>
#<alt (exp (/ (neg r) s))>
#<alt (/ -1/6 (* s (PI)))>
#<alt (/ (* -7/324 (* r r)) (* s (PI)))>
#<alt (* r (PI))>
#<alt (/ (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) r)>
#<alt (/ 1/144 (* s (PI)))>
#<alt (* (/ r s) -1/3)>
#<alt (exp (/ r (neg s)))>
#<alt (exp (* (/ r s) -1/3))>
Outputs
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<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)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
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#<alt (* -7/324 (/ (pow r 2) (* s (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* s (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* s (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* s (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* s (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* s (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* s (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* s (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* s (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* s (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* s (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* s (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* s (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* s (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* s (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* s (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* s (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* s (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* s (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* s (PI))))>
#<alt (* -7/324 (/ (pow r 2) (* s (PI))))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (* r (PI))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (* 1/144 (/ r (* (pow s 3) (PI))))>
#<alt (* r (- (* 1/144 (/ 1 (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* r (* (pow s 2) (PI)))))))>
#<alt (* r (- (+ (/ 1/8 (* (pow r 2) (* s (PI)))) (* 1/144 (/ 1 (* (pow s 3) (PI))))) (/ 1/24 (* r (* (pow s 2) (PI))))))>
#<alt (* r (- (+ (/ 1/8 (* (pow r 2) (* s (PI)))) (* 1/144 (/ 1 (* (pow s 3) (PI))))) (/ 1/24 (* r (* (pow s 2) (PI))))))>
#<alt (* 1/144 (/ r (* (pow s 3) (PI))))>
#<alt (* -1 (* r (- (* 1/24 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/144 (/ 1 (* (pow s 3) (PI)))))))>
#<alt (* -1 (* r (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/144 (/ 1 (* (pow s 3) (PI)))))))>
#<alt (* -1 (* r (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/144 (/ 1 (* (pow s 3) (PI)))))))>
#<alt (* 1/144 (/ r (* (pow s 3) (PI))))>
#<alt (/ (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))) (pow s 3))>
#<alt (/ (+ (* 1/144 (/ r (PI))) (* s (- (* 1/8 (/ s (* r (PI)))) (* 1/24 (/ 1 (PI)))))) (pow s 3))>
#<alt (/ (+ (* 1/144 (/ r (PI))) (* s (- (* 1/8 (/ s (* r (PI)))) (* 1/24 (/ 1 (PI)))))) (pow s 3))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)>
#<alt (/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (/ 1/144 (* s (PI)))>
#<alt (/ 1/144 (* s (PI)))>
#<alt (/ 1/144 (* s (PI)))>
#<alt (/ 1/144 (* s (PI)))>
#<alt (/ 1/144 (* s (PI)))>
#<alt (/ 1/144 (* s (PI)))>
#<alt (/ 1/144 (* s (PI)))>
#<alt (/ 1/144 (* s (PI)))>
#<alt (/ 1/144 (* s (PI)))>
#<alt (/ 1/144 (* s (PI)))>
#<alt (/ 1/144 (* s (PI)))>
#<alt (/ 1/144 (* s (PI)))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt 1>
#<alt (+ 1 (* -1 (/ r s)))>
#<alt (+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ r s)))>
#<alt (+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ r s)))>
#<alt (+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))>
#<alt 1>
#<alt (+ 1 (* -1/3 (/ r s)))>
#<alt (+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))>
#<alt (+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt (exp (* -1/3 (/ r s)))>
#<alt 1>
#<alt (+ 1 (* -1/3 (/ r s)))>
#<alt (+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (/ r s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))>
Calls

159 calls:

TimeVariablePointExpression
8.0ms
r
@-inf
(+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI))))
2.0ms
s
@-inf
(* s (PI))
2.0ms
s
@inf
(/ (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))) r)
1.0ms
s
@0
(* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI)))))
1.0ms
s
@inf
(+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ 1/4 (* r (PI))) (/ -1/6 (* s (PI)))))

rewrite421.0ms (2.7%)

Memory
15.1MiB live, 567.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 002×*-lowering-*.f32
5 002×*-lowering-*.f64
3 656×/-lowering-/.f32
3 656×/-lowering-/.f64
2 812×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070408
1437396
25542393
08043380
Stop Event
iter limit
node limit
Counts
30 → 910
Calls
Call 1
Inputs
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (* (exp (/ r (* s -3))) -3/4) r) (* s (* (PI) -6))))
(/ (/ (* (exp (/ r (* s -3))) -3/4) r) (* s (* (PI) -6)))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(* 1/4 (exp (/ (neg r) s)))
(/ 1/4 (* r (* s (PI))))
(* r (* s (PI)))
(* s (PI))
(PI)
(+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI))))
(+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ 1/4 (* r (PI))) (/ -1/6 (* s (PI)))))
(/ (+ (/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s)) (+ (/ 1/4 (* r (PI))) (/ -1/6 (* s (PI))))) s)
(/ (+ (* r (/ 5/72 (PI))) (/ (* -7/324 (* r r)) (* s (PI)))) (* s s))
(+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI))))
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) r))
(* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI)))))
(/ (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))) r)
(+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (exp (* (/ r s) -1/3)) (* s (PI))))
(/ (exp (/ r (neg s))) (* s (PI)))
(* (* 2 (PI)) s)
(/ r (* s -3))
(* (* (* 2 (PI)) s) r)
(exp (/ (neg r) s))
(/ -1/6 (* s (PI)))
(/ (* -7/324 (* r r)) (* s (PI)))
(* r (PI))
(/ (+ (* r (/ (+ (* r (/ 1/144 (* s (PI)))) (/ -1/24 (PI))) (* s s))) (/ 1/8 (* s (PI)))) r)
(/ 1/144 (* s (PI)))
(* (/ r s) -1/3)
(exp (/ r (neg s)))
(exp (* (/ r s) -1/3))
Outputs
(+.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) r) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))))
(+.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) r))
(pow.f32 (/.f32 (*.f32 (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))))) (fma.f32 (*.f32 r (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32)))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) r)) (*.f32 #s(literal 1/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))) (-.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) r)) (pow.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) r) #s(literal 2 binary32))) (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) r) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))))))) (-.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) r) #s(literal 2 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))))
(fma.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))))
(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 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) r))
(fma.f32 (*.f32 #s(literal -3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))))) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) r))
(fma.f32 (*.f32 #s(literal -3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.f32 (/.f32 #s(literal 1 binary32) r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) r))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) r)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) r))
(fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) r))
(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 -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32)))))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (/.f32 #s(literal -3/4 binary32) r) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) r))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))))) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) r))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 (/.f32 #s(literal -3/4 binary32) r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) r))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (PI.f32))) (/.f32 (/.f32 #s(literal -3/4 binary32) r) #s(literal -6 binary32)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) r))
(fma.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) r) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))))
(fma.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) r))
(fma.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal 3/4 binary32)) r) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32))) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) r))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 r) (*.f32 s (*.f32 #s(literal 2 binary32) (PI.f32))))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))))
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(*.f32 (neg.f32 r) (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 3 binary32))))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(*.f32 #s(literal 1 binary32) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(*.f32 (/.f32 #s(literal -1/3 binary32) s) r)
(*.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))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 r)) (/.f32 #s(literal -1 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 r))) (/.f32 #s(literal 1 binary32) s)))
(exp.f32 (*.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (exp.f32 (/.f32 r s))) #s(literal -1/3 binary32)) #s(literal 3 binary32)))
(pow.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal 3 binary32))
(pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1 binary32))
(pow.f32 (exp.f32 r) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (exp.f32 r) (*.f32 (/.f32 #s(literal -1/3 binary32) s) #s(literal 3 binary32)))
(pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal -1/3 binary32)) (*.f32 (/.f32 r s) #s(literal 3 binary32)))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 r (neg.f32 s)))
(pow.f32 (pow.f32 (exp.f32 r) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 (neg.f32 r)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 r s))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (neg.f32 r))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) s)) r)
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r s)))
(*.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (*.f32 s #s(literal -3 binary32))))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 r s))) #s(literal -1/3 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 r)) (/.f32 #s(literal -1/3 binary32) s)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1/3 binary32))) (/.f32 r s)))
(pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32))
(pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s))
(pow.f32 (exp.f32 r) (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/3 binary32)))
(pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 3 binary32))))
(pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 r (*.f32 s #s(literal -3 binary32))))
(pow.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (exp.f32 r) #s(literal 1 binary32)) (/.f32 #s(literal -1/3 binary32) s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) r) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (neg.f32 r)) (/.f32 #s(literal -1 binary32) s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) #s(literal 1 binary32)) (/.f32 r s))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 #s(literal 1 binary32) s)) r)
(pow.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) #s(literal -1 binary32)) (/.f32 r (neg.f32 s)))
(pow.f32 (*.f32 (exp.f32 (/.f32 r s)) (exp.f32 (/.f32 r s))) #s(literal -1/6 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 r (*.f32 s #s(literal 3 binary32))))
(pow.f32 (exp.f32 (/.f32 #s(literal -1/3 binary32) s)) r)
(pow.f32 (exp.f32 (*.f32 r #s(literal -1/3 binary32))) (/.f32 #s(literal 1 binary32) s))
(pow.f32 (exp.f32 (log.f32 (exp.f32 (/.f32 r s)))) #s(literal -1/3 binary32))
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 #s(literal 0 binary32) (neg.f32 s))) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))
(cbrt.f32 (exp.f32 (/.f32 r (neg.f32 s))))
(*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/6 binary32))))

simplify467.0ms (3%)

Memory
1.8MiB live, 713.4MiB allocated
Algorithm
egg-herbie
Rules
7 276×accelerator-lowering-fma.f32
7 276×accelerator-lowering-fma.f64
4 950×*-lowering-*.f32
4 950×*-lowering-*.f64
3 346×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08438638
125668351
274328292
080948056
Stop Event
iter limit
node limit
Counts
636 → 636
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))))
(/ (+ (* -1/24 (/ 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))
(/ 1/8 (* 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))
1/4
(+ 1/4 (* -1/4 (/ r s)))
(+ 1/4 (* r (- (* 1/8 (/ r (pow s 2))) (* 1/4 (/ 1 s)))))
(+ 1/4 (* r (- (* r (+ (* -1/24 (/ r (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
1/4
(+ 1/4 (* -1/4 (/ r s)))
(+ 1/4 (+ (* -1/4 (/ r s)) (* 1/8 (/ (pow r 2) (pow s 2)))))
(+ 1/4 (+ (* -1/4 (/ r s)) (+ (* -1/24 (/ (pow r 3) (pow s 3))) (* 1/8 (/ (pow r 2) (pow s 2))))))
1/4
(+ 1/4 (* -1/4 (/ r s)))
(+ 1/4 (* -1 (/ (+ (* -1/8 (/ (pow r 2) s)) (* 1/4 r)) s)))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow r 3) s)) (* 1/8 (pow r 2))) s)) (* 1/4 r)) s)))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* 5/72 (/ r (PI)))
(* r (+ (* -7/324 (/ r (* s (PI)))) (* 5/72 (/ 1 (PI)))))
(* r (+ (* -7/324 (/ r (* s (PI)))) (* 5/72 (/ 1 (PI)))))
(* r (+ (* -7/324 (/ r (* s (PI)))) (* 5/72 (/ 1 (PI)))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (PI)))) (* 7/324 (/ 1 (* s (PI))))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (PI)))) (* 7/324 (/ 1 (* s (PI))))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (PI)))) (* 7/324 (/ 1 (* s (PI))))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (PI)))) (* 7/324 (/ 1 (* s (PI))))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (PI)))) (* 7/324 (/ 1 (* s (PI))))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (PI)))) (* 7/324 (/ 1 (* s (PI))))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) s)
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) s)
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) s)
(* 5/72 (/ r (PI)))
(+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ r (PI))))
(+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ r (PI))))
(+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ r (PI))))
(* 5/72 (/ r (PI)))
(+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ r (PI))))
(+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ r (PI))))
(+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ r (PI))))
(/ 1/4 (* r (PI)))
(/ (+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 3) (PI)))) (* 5/72 (/ 1 (* (pow s 2) (PI)))))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (/ 5/72 (* r (* (pow s 2) (PI)))) (+ (* 7/324 (/ 1 (* (pow s 3) (PI)))) (/ 1/6 (* (pow r 2) (* s (PI)))))))
(* (pow r 2) (- (+ (/ 5/72 (* r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* (pow r 3) (PI))))) (+ (* 7/324 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow r 2) (* s (PI))))))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(* (pow r 2) (- (* 5/72 (/ 1 (* r (* (pow s 2) (PI))))) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/6 (/ 1 (* r (* s (PI))))) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) r)) (* 5/72 (/ 1 (* (pow s 2) (PI))))) r)) (* 7/324 (/ 1 (* (pow s 3) (PI))))))
(* -7/324 (/ (pow r 2) (* (pow s 3) (PI))))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* 5/72 (/ (* r s) (PI)))) (pow s 3))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))))) (pow s 3))
(/ (+ (* -7/324 (/ (pow r 2) (PI))) (* s (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))))) (pow s 3))
(/ 1/4 (* r (PI)))
(- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(- (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI))))
(- (+ (* -7/324 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI))))
(/ 1/4 (* r (PI)))
(- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(+ (* -1 (/ (+ (* -5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -7/324 (/ (pow r 2) (* s (PI)))) (* 5/72 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))
(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(* -7/324 (/ (pow r 2) (* (pow s 4) (PI))))
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(* (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)))))))
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(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(/ -1/6 (* s (PI)))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* -7/324 (/ (pow r 2) (* s (PI))))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(* r (PI))
(/ 1/8 (* 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 (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(* 1/144 (/ r (* (pow s 3) (PI))))
(* r (- (* 1/144 (/ 1 (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* r (* (pow s 2) (PI)))))))
(* r (- (+ (/ 1/8 (* (pow r 2) (* s (PI)))) (* 1/144 (/ 1 (* (pow s 3) (PI))))) (/ 1/24 (* r (* (pow s 2) (PI))))))
(* r (- (+ (/ 1/8 (* (pow r 2) (* s (PI)))) (* 1/144 (/ 1 (* (pow s 3) (PI))))) (/ 1/24 (* r (* (pow s 2) (PI))))))
(* 1/144 (/ r (* (pow s 3) (PI))))
(* -1 (* r (- (* 1/24 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/144 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/144 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/8 (/ 1 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/144 (/ 1 (* (pow s 3) (PI)))))))
(* 1/144 (/ r (* (pow s 3) (PI))))
(/ (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))) (pow s 3))
(/ (+ (* 1/144 (/ r (PI))) (* s (- (* 1/8 (/ s (* r (PI)))) (* 1/24 (/ 1 (PI)))))) (pow s 3))
(/ (+ (* 1/144 (/ r (PI))) (* s (- (* 1/8 (/ s (* r (PI)))) (* 1/24 (/ 1 (PI)))))) (pow s 3))
(/ 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)
(/ (- (+ (* 1/144 (/ 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 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/ 1/144 (* s (PI)))
(/ 1/144 (* s (PI)))
(/ 1/144 (* s (PI)))
(/ 1/144 (* s (PI)))
(/ 1/144 (* s (PI)))
(/ 1/144 (* s (PI)))
(/ 1/144 (* s (PI)))
(/ 1/144 (* s (PI)))
(/ 1/144 (* s (PI)))
(/ 1/144 (* s (PI)))
(/ 1/144 (* s (PI)))
(/ 1/144 (* 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 (/ r s)))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
1
(+ 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)))
Outputs
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 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 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) r))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(neg.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) (neg.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 #s(literal -1/4 binary32) (*.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (-.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) s)) s)) (neg.f32 s))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -1/1296 (/ r (* (pow s 4) (PI)))) (* 1/144 (/ 1 (* (pow s 3) (PI)))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) #s(literal -1/1296 binary32) (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
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(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))))))
(+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/162 binary32)) (*.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 (* -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 (*.f32 (*.f32 r r) #s(literal -1/18 binary32)) 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 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (/.f32 (*.f32 r (*.f32 r r)) s) #s(literal -1/162 binary32))) s)) s))

eval232.0ms (1.5%)

Memory
8.9MiB live, 550.9MiB allocated
Compiler

Compiled 77 941 to 6 030 computations (92.3% saved)

prune313.0ms (2%)

Memory
6.5MiB live, 733.5MiB allocated
Pruning

52 alts after pruning (51 fresh and 1 done)

PrunedKeptTotal
New2 126452 171
Fresh12618
Picked415
Done000
Total2 142522 194
Accuracy
99.9%
Counts
2 194 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(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)))))
99.7%
(fma.f32 (/.f32 #s(literal -3/4 binary32) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) r))
62.9%
(/.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(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32)))))
8.6%
(/.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 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (PI.f32))) (pow.f32 s #s(literal 4 binary32)))
9.2%
(/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)))) (*.f32 s (*.f32 s s)))
3.7%
(/.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 s #s(literal -1/24 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))
8.1%
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s) r)
8.2%
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
8.2%
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
8.2%
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
8.2%
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
8.2%
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
8.7%
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))) s)) s)) (neg.f32 s))
7.1%
(/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
8.7%
(/.f32 (+.f32 (/.f32 (*.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 5/72 binary32) (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
8.7%
(/.f32 (+.f32 (/.f32 (*.f32 r #s(literal 5/72 binary32)) (*.f32 s (*.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
8.8%
(/.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)
8.1%
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
99.7%
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) r)
4.7%
(/.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
8.7%
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/9 binary32) (/.f32 #s(literal 2 binary32) (PI.f32)))) s)) r)
9.1%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.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 s (PI.f32))))) r)
7.6%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
9.2%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
99.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32)) (*.f32 s (PI.f32))))) r)
98.2%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 (*.f32 r #s(literal -1/3 binary32))) (/.f32 #s(literal 1 binary32) s)) (*.f32 s (PI.f32))))) r)
99.7%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (PI.f32))))) r)
9.2%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal -1/18 binary32)) s)) s)) (*.f32 s (PI.f32))))) r)
9.2%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (/.f32 (*.f32 r (*.f32 r r)) s) #s(literal -1/162 binary32))) s)) s)) (*.f32 s (PI.f32))))) r)
99.7%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 #s(literal -3 binary32) r)))) (*.f32 s (PI.f32))))) r)
99.7%
(/.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 #s(literal -1/3 binary32) s) r)) (*.f32 s (PI.f32))))) r)
99.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (PI.f32))))) r)
8.6%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))) r)
99.7%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 r s))
8.2%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
6.6%
(+.f32 (/.f32 (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)) (/.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))
8.7%
(+.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)))))
6.6%
(+.f32 (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s) (/.f32 (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))
6.6%
(+.f32 (/.f32 (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32)) (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 r r))) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
99.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) #s(literal -3/4 binary32)) r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))
9.2%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s))
8.6%
(+.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 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
8.0%
(+.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)))))
8.2%
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
99.7%
(*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) r))
99.7%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (/.f32 #s(literal 1/8 binary32) r))
2.2%
(*.f32 r (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))))
Compiler

Compiled 2 715 to 1 741 computations (35.9% saved)

simplify323.0ms (2.1%)

Memory
15.0MiB live, 325.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s))
cost-diff192
(/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s))
cost-diff224
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
cost-diff320
(fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32)))
cost-diff0
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)))
cost-diff192
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))) r)
cost-diff224
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))))
cost-diff352
(+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
cost-diff0
(*.f32 r s)
cost-diff0
(*.f32 (*.f32 r s) (sqrt.f32 (PI.f32)))
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
cost-diff800
(*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
cost-diff0
(PI.f32)
cost-diff0
(*.f32 r s)
cost-diff0
(*.f32 (*.f32 r s) (PI.f32))
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
cost-diff0
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) 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-diff352
(/.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) #s(literal -3/4 binary32)) r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))))
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 (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) #s(literal -3/4 binary32)) r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))
Rules
5 460×accelerator-lowering-fma.f32
5 460×accelerator-lowering-fma.f64
4 926×*-lowering-*.f32
4 926×*-lowering-*.f64
2 894×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061526
1154518
2374480
31100473
43496469
53765469
64168469
74731469
84938469
95083469
106909469
117788469
127957469
137965469
147965469
08201461
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (* (exp (/ (* r -1/3) s)) -3/4) r) (* s (* (PI) -6))))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(* 1/4 (exp (/ (neg r) s)))
1/4
(exp (/ (neg r) s))
(/ (neg r) s)
(neg r)
r
s
(* (* (* 2 (PI)) s) r)
(* (* 2 (PI)) s)
(* 2 (PI))
2
(PI)
(/ (/ (* (exp (/ (* r -1/3) s)) -3/4) r) (* s (* (PI) -6)))
(/ (* (exp (/ (* r -1/3) s)) -3/4) r)
(* (exp (/ (* r -1/3) s)) -3/4)
(exp (/ (* r -1/3) s))
(/ (* r -1/3) s)
(* r -1/3)
-1/3
-3/4
(* s (* (PI) -6))
(* (PI) -6)
-6
(/ 1/4 (* (* r s) (PI)))
1/4
(* (* r s) (PI))
(* r s)
r
s
(PI)
(/ 1/4 (* (* (* r s) (sqrt (PI))) (sqrt (PI))))
1/4
(* (* (* r s) (sqrt (PI))) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* r s)
r
s
(sqrt (PI))
(PI)
(/ (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ 1 (* s (PI))))) r)
(* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ 1 (* s (PI)))))
1/8
(+ (/ (exp (/ r (neg s))) (* s (PI))) (/ 1 (* s (PI))))
(/ (exp (/ r (neg s))) (* s (PI)))
(exp (/ r (neg s)))
(/ r (neg s))
r
(neg s)
s
(* s (PI))
(PI)
(/ 1 (* s (PI)))
1
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (+ (/ (+ (* -1/1296 (/ (* r r) (* s (PI)))) (/ (* r 1/144) (PI))) (* s s)) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) s))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(* 1/4 (exp (/ (neg r) s)))
1/4
(exp (/ (neg r) s))
(/ (neg r) s)
(neg r)
r
s
(* (* (* 2 (PI)) s) r)
(* (* 2 (PI)) s)
(* 2 (PI))
2
(PI)
(/ (+ (/ (+ (* -1/1296 (/ (* r r) (* s (PI)))) (/ (* r 1/144) (PI))) (* s s)) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) s)
(+ (/ (+ (* -1/1296 (/ (* r r) (* s (PI)))) (/ (* r 1/144) (PI))) (* s s)) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI)))))
(/ (+ (* -1/1296 (/ (* r r) (* s (PI)))) (/ (* r 1/144) (PI))) (* s s))
(+ (* -1/1296 (/ (* r r) (* s (PI)))) (/ (* r 1/144) (PI)))
-1/1296
(/ (* r r) (* s (PI)))
(* r r)
(* s (PI))
(/ (* r 1/144) (PI))
(* r 1/144)
1/144
(* s s)
(+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))
(/ 1/8 (* r (PI)))
1/8
(* r (PI))
(/ -1/24 (* s (PI)))
-1/24
Outputs
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (* (exp (/ (* r -1/3) s)) -3/4) r) (* s (* (PI) -6))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (exp.f32 (/.f32 r s))))
(* 1/4 (exp (/ (neg r) s)))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (neg.f32 (/.f32 r s))))
1/4
#s(literal 1/4 binary32)
(exp (/ (neg r) s))
(exp.f32 (neg.f32 (/.f32 r s)))
(/ (neg r) s)
(neg.f32 (/.f32 r s))
(neg r)
(neg.f32 r)
r
s
(* (* (* 2 (PI)) s) r)
(*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))
(* (* 2 (PI)) s)
(*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32)))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
(/ (/ (* (exp (/ (* r -1/3) s)) -3/4) r) (* s (* (PI) -6)))
(*.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
(/ (* (exp (/ (* r -1/3) s)) -3/4) r)
(*.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) (/.f32 #s(literal -3/4 binary32) r))
(* (exp (/ (* r -1/3) s)) -3/4)
(*.f32 (exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s))) #s(literal -3/4 binary32))
(exp (/ (* r -1/3) s))
(exp.f32 (*.f32 r (/.f32 #s(literal -1/3 binary32) s)))
(/ (* r -1/3) s)
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(* r -1/3)
(*.f32 r #s(literal -1/3 binary32))
-1/3
#s(literal -1/3 binary32)
-3/4
#s(literal -3/4 binary32)
(* s (* (PI) -6))
(*.f32 (PI.f32) (*.f32 s #s(literal -6 binary32)))
(* (PI) -6)
(*.f32 (PI.f32) #s(literal -6 binary32))
-6
#s(literal -6 binary32)
(/ 1/4 (* (* r s) (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (*.f32 r s)))
1/4
#s(literal 1/4 binary32)
(* (* r s) (PI))
(*.f32 (PI.f32) (*.f32 r s))
(* r s)
(*.f32 r s)
r
s
(PI)
(PI.f32)
(/ 1/4 (* (* (* r s) (sqrt (PI))) (sqrt (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (*.f32 r s)))
1/4
#s(literal 1/4 binary32)
(* (* (* r s) (sqrt (PI))) (sqrt (PI)))
(*.f32 (PI.f32) (*.f32 r s))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* r s)
(*.f32 r s)
r
s
(sqrt (PI))
(sqrt.f32 (PI.f32))
(PI)
(PI.f32)
(/ (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32) #s(literal 1/8 binary32)) (*.f32 (PI.f32) (*.f32 r s)))
(* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ 1 (* s (PI)))))
(/.f32 (fma.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/8 binary32) #s(literal 1/8 binary32)) (*.f32 s (PI.f32)))
1/8
#s(literal 1/8 binary32)
(+ (/ (exp (/ r (neg s))) (* s (PI))) (/ 1 (* s (PI))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1 binary32)))
(/ (exp (/ r (neg s))) (* s (PI)))
(/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32)))
(exp (/ r (neg s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(/ r (neg s))
(neg.f32 (/.f32 r s))
r
(neg s)
(neg.f32 s)
s
(* s (PI))
(*.f32 s (PI.f32))
(PI)
(PI.f32)
(/ 1 (* s (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))
1
#s(literal 1 binary32)
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (+ (/ (+ (* -1/1296 (/ (* r r) (* s (PI)))) (/ (* r 1/144) (PI))) (* s s)) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) s))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (exp.f32 (/.f32 r s)))) (/.f32 (+.f32 (/.f32 (*.f32 r (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))) (*.f32 (PI.f32) (*.f32 s s))) (+.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))) s))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 r s)) (exp.f32 (/.f32 r s))))
(* 1/4 (exp (/ (neg r) s)))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (neg.f32 (/.f32 r s))))
1/4
#s(literal 1/4 binary32)
(exp (/ (neg r) s))
(exp.f32 (neg.f32 (/.f32 r s)))
(/ (neg r) s)
(neg.f32 (/.f32 r s))
(neg r)
(neg.f32 r)
r
s
(* (* (* 2 (PI)) s) r)
(*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))
(* (* 2 (PI)) s)
(*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32)))
(* 2 (PI))
(*.f32 #s(literal 2 binary32) (PI.f32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
(/ (+ (/ (+ (* -1/1296 (/ (* r r) (* s (PI)))) (/ (* r 1/144) (PI))) (* s s)) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) s)
(/.f32 (+.f32 (/.f32 (*.f32 r (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))) (*.f32 (PI.f32) (*.f32 s s))) (+.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))) s)
(+ (/ (+ (* -1/1296 (/ (* r r) (* s (PI)))) (/ (* r 1/144) (PI))) (* s s)) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI)))))
(+.f32 (/.f32 (*.f32 r (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))) (*.f32 (PI.f32) (*.f32 s s))) (+.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))))
(/ (+ (* -1/1296 (/ (* r r) (* s (PI)))) (/ (* r 1/144) (PI))) (* s s))
(/.f32 (*.f32 r (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))) (*.f32 (PI.f32) (*.f32 s s)))
(+ (* -1/1296 (/ (* r r) (* s (PI)))) (/ (* r 1/144) (PI)))
(/.f32 (*.f32 r (fma.f32 r (/.f32 #s(literal -1/1296 binary32) s) #s(literal 1/144 binary32))) (PI.f32))
-1/1296
#s(literal -1/1296 binary32)
(/ (* r r) (* s (PI)))
(*.f32 r (/.f32 r (*.f32 s (PI.f32))))
(* r r)
(*.f32 r r)
(* s (PI))
(*.f32 s (PI.f32))
(/ (* r 1/144) (PI))
(*.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)))
(* r 1/144)
(*.f32 r #s(literal 1/144 binary32))
1/144
#s(literal 1/144 binary32)
(* s s)
(*.f32 s s)
(+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))
(+.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))
(/ 1/8 (* r (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
1/8
#s(literal 1/8 binary32)
(* r (PI))
(*.f32 r (PI.f32))
(/ -1/24 (* s (PI)))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
-1/24
#s(literal -1/24 binary32)

localize212.0ms (1.4%)

Memory
4.0MiB live, 395.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy98.9%
(*.f32 s (PI.f32))
accuracy98.8%
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))
accuracy98.7%
(/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))
accuracy96.5%
(fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32)))
accuracy99.8%
(exp.f32 (/.f32 r (neg.f32 s)))
accuracy99.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))) r)
accuracy99.1%
(/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))
accuracy98.9%
(*.f32 s (PI.f32))
accuracy100.0%
(PI.f32)
accuracy99.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
accuracy98.8%
(*.f32 (*.f32 r s) (sqrt.f32 (PI.f32)))
accuracy98.8%
(*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
accuracy100.0%
(*.f32 r s)
accuracy100.0%
(PI.f32)
accuracy99.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
accuracy98.7%
(*.f32 (*.f32 r s) (PI.f32))
accuracy99.4%
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
accuracy99.2%
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
accuracy98.9%
(*.f32 r #s(literal -1/3 binary32))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
Samples
121.0ms256×0valid
Compiler

Compiled 531 to 63 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 97.0ms
ival-div: 36.0ms (37.3% of total)
ival-mult: 31.0ms (32.1% of total)
const: 12.0ms (12.4% of total)
ival-add: 6.0ms (6.2% of total)
ival-exp: 5.0ms (5.2% of total)
ival-neg: 3.0ms (3.1% of total)
ival-sqrt: 2.0ms (2.1% of total)
ival-pi: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series30.0ms (0.2%)

Memory
24.2MiB live, 62.5MiB allocated
Counts
27 → 552
Calls
Call 1
Inputs
#<alt (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (* (exp (/ (* r -1/3) s)) -3/4) r) (* s (* (PI) -6))))>
#<alt (/ (/ (* (exp (/ (* r -1/3) s)) -3/4) r) (* s (* (PI) -6)))>
#<alt (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))>
#<alt (* 1/4 (exp (/ (neg r) s)))>
#<alt (/ 1/4 (* (* r s) (PI)))>
#<alt (* (* r s) (PI))>
#<alt (* r s)>
#<alt (PI)>
#<alt (* (* (* r s) (sqrt (PI))) (sqrt (PI)))>
#<alt (/ 1/4 (* (* (* r s) (sqrt (PI))) (sqrt (PI))))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ 1 (* s (PI))))>
#<alt (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ 1 (* s (PI)))))>
#<alt (/ (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ 1 (* s (PI))))) r)>
#<alt (/ (exp (/ r (neg s))) (* s (PI)))>
#<alt (+ (* -1/1296 (/ (* r r) (* s (PI)))) (/ (* r 1/144) (PI)))>
#<alt (/ (+ (* -1/1296 (/ (* r r) (* s (PI)))) (/ (* r 1/144) (PI))) (* s s))>
#<alt (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (+ (/ (+ (* -1/1296 (/ (* r r) (* s (PI)))) (/ (* r 1/144) (PI))) (* s s)) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) s))>
#<alt (* (* 2 (PI)) s)>
#<alt (* r -1/3)>
#<alt (* (* (* 2 (PI)) s) r)>
#<alt (/ (* r -1/3) s)>
#<alt (* s (PI))>
#<alt (/ 1 (* s (PI)))>
#<alt (exp (/ r (neg s)))>
#<alt (/ (* r 1/144) (PI))>
#<alt (/ -1/24 (* s (PI)))>
Outputs
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<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)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* 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)>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
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#<alt (+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI))))>
#<alt (+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI))))>
#<alt (+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI))))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI))))>
#<alt (+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI))))>
#<alt (+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI))))>
#<alt (* 1/144 (/ r (* (pow s 2) (PI))))>
#<alt (* r (+ (* -1/1296 (/ r (* (pow s 3) (PI)))) (* 1/144 (/ 1 (* (pow s 2) (PI))))))>
#<alt (* r (+ (* -1/1296 (/ r (* (pow s 3) (PI)))) (* 1/144 (/ 1 (* (pow s 2) (PI))))))>
#<alt (* r (+ (* -1/1296 (/ r (* (pow s 3) (PI)))) (* 1/144 (/ 1 (* (pow s 2) (PI))))))>
#<alt (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/1296 (/ 1 (* (pow s 3) (PI))))))>
#<alt (* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/1296 (/ 1 (* (pow s 3) (PI))))))>
#<alt (* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/1296 (/ 1 (* (pow s 3) (PI))))))>
#<alt (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/1296 (/ 1 (* (pow s 3) (PI))))))>
#<alt (* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/1296 (/ 1 (* (pow s 3) (PI))))))>
#<alt (* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/1296 (/ 1 (* (pow s 3) (PI))))))>
#<alt (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI))))>
#<alt (/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) (pow s 3))>
#<alt (/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) (pow s 3))>
#<alt (/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) (pow s 3))>
#<alt (* 1/144 (/ r (* (pow s 2) (PI))))>
#<alt (/ (+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI)))) (pow s 2))>
#<alt (/ (+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI)))) (pow s 2))>
#<alt (/ (+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI)))) (pow s 2))>
#<alt (* 1/144 (/ r (* (pow s 2) (PI))))>
#<alt (/ (+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI)))) (pow s 2))>
#<alt (/ (+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI)))) (pow s 2))>
#<alt (/ (+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI)))) (pow s 2))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<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)>
#<alt (* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))>
#<alt (* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))>
#<alt (* (pow r 2) (- (/ 1/144 (* r (* (pow s 3) (PI)))) (+ (* 1/1296 (/ 1 (* (pow s 4) (PI)))) (/ 1/24 (* (pow r 2) (* (pow s 2) (PI)))))))>
#<alt (* (pow r 2) (- (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* (pow r 3) (* s (PI))))) (+ (/ 1/144 (* r (* (pow s 3) (PI)))) (/ 1/8 (* (pow r 3) (* s (PI)))))) (+ (* 1/1296 (/ 1 (* (pow s 4) (PI)))) (* 1/24 (/ 1 (* (pow r 2) (* (pow s 2) (PI))))))))>
#<alt (* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))>
#<alt (* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))>
#<alt (* (pow r 2) (- (* -1 (/ (- (* 1/24 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))>
#<alt (* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)) (* 1/24 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))>
#<alt (* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))>
#<alt (/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) (pow s 4))>
#<alt (/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* s (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))))) (pow s 4))>
#<alt (/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* s (+ (* 1/144 (/ r (PI))) (* s (- (* s (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (* 1/24 (/ 1 (PI)))))))) (pow s 4))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* 2 (* r (* s (PI))))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (/ 1 (* s (PI)))>
#<alt (/ 1 (* s (PI)))>
#<alt (/ 1 (* s (PI)))>
#<alt (/ 1 (* s (PI)))>
#<alt (/ 1 (* s (PI)))>
#<alt (/ 1 (* s (PI)))>
#<alt (/ 1 (* s (PI)))>
#<alt (/ 1 (* s (PI)))>
#<alt (/ 1 (* s (PI)))>
#<alt (/ 1 (* s (PI)))>
#<alt (/ 1 (* s (PI)))>
#<alt (/ 1 (* s (PI)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ r s)))>
#<alt (+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))>
#<alt (+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ r s)))>
#<alt (+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ r s)))>
#<alt (+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (* 1/144 (/ r (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
#<alt (/ -1/24 (* s (PI)))>
Calls

138 calls:

TimeVariablePointExpression
2.0ms
s
@inf
(/ (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ 1 (* s (PI))))) r)
1.0ms
s
@inf
(* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ 1 (* s (PI)))))
1.0ms
r
@-inf
(/ (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ 1 (* s (PI))))) r)
1.0ms
r
@inf
(/ (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ 1 (* s (PI))))) r)
1.0ms
s
@0
(/ (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ 1 (* s (PI))))) r)

rewrite580.0ms (3.7%)

Memory
-20.3MiB live, 489.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 758×*-lowering-*.f32
5 758×*-lowering-*.f64
3 796×accelerator-lowering-fma.f32
3 796×accelerator-lowering-fma.f64
2 924×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061290
1367278
24589278
08108272
Stop Event
iter limit
node limit
Counts
27 → 814
Calls
Call 1
Inputs
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (* (exp (/ (* r -1/3) s)) -3/4) r) (* s (* (PI) -6))))
(/ (/ (* (exp (/ (* r -1/3) s)) -3/4) r) (* s (* (PI) -6)))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(* 1/4 (exp (/ (neg r) s)))
(/ 1/4 (* (* r s) (PI)))
(* (* r s) (PI))
(* r s)
(PI)
(* (* (* r s) (sqrt (PI))) (sqrt (PI)))
(/ 1/4 (* (* (* r s) (sqrt (PI))) (sqrt (PI))))
(* (* r s) (sqrt (PI)))
(+ (/ (exp (/ r (neg s))) (* s (PI))) (/ 1 (* s (PI))))
(* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ 1 (* s (PI)))))
(/ (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ 1 (* s (PI))))) r)
(/ (exp (/ r (neg s))) (* s (PI)))
(+ (* -1/1296 (/ (* r r) (* s (PI)))) (/ (* r 1/144) (PI)))
(/ (+ (* -1/1296 (/ (* r r) (* s (PI)))) (/ (* r 1/144) (PI))) (* s s))
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (+ (/ (+ (* -1/1296 (/ (* r r) (* s (PI)))) (/ (* r 1/144) (PI))) (* s s)) (+ (/ 1/8 (* r (PI))) (/ -1/24 (* s (PI))))) s))
(* (* 2 (PI)) s)
(* r -1/3)
(* (* (* 2 (PI)) s) r)
(/ (* r -1/3) s)
(* s (PI))
(/ 1 (* s (PI)))
(exp (/ r (neg s)))
(/ (* r 1/144) (PI))
(/ -1/24 (* s (PI)))
Outputs
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))) (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))))
(+.f32 (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))) (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))))
(pow.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 r s) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))) (*.f32 (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32)))) (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (/.f32 #s(literal -3/4 binary32) r))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))) (-.f32 (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))) (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32)))))) (pow.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))) #s(literal 2 binary32))) (fma.f32 #s(literal -27/64 binary32) (pow.f32 (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))))) #s(literal 3 binary32)) (/.f32 (*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 s s) s))) #s(literal 1/512 binary32)) (*.f32 (*.f32 r r) r)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))) (neg.f32 (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))))) (-.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))) #s(literal 2 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))) (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))))
(fma.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32))))) (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))))
(fma.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 (/.f32 #s(literal -3/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))))) (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))))
(fma.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (/.f32 #s(literal -3/4 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))))) (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))))
(fma.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (/.f32 (/.f32 #s(literal -3/4 binary32) r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))) (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))))
(fma.f32 #s(literal -3/4 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))))) (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))))
(fma.f32 (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) #s(literal -3/4 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))))) (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))))
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(*.f32 (pow.f32 (/.f32 (sqrt.f32 (PI.f32)) #s(literal 1/144 binary32)) #s(literal -1 binary32)) (pow.f32 (/.f32 (sqrt.f32 (PI.f32)) r) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) r) #s(literal -1 binary32)) (pow.f32 (/.f32 (cbrt.f32 (PI.f32)) #s(literal 1/144 binary32)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 1/144 binary32)) #s(literal -1 binary32)) (pow.f32 (/.f32 (cbrt.f32 (PI.f32)) r) #s(literal -1 binary32)))
(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 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) (*.f32 s (PI.f32)))
(/.f32 #s(literal -1/24 binary32) (neg.f32 (neg.f32 (*.f32 s (PI.f32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal -24 binary32))))
(/.f32 #s(literal 1/24 binary32) (neg.f32 (*.f32 s (PI.f32))))
(/.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) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.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 #s(literal 1 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) #s(literal -1/24 binary32))
(*.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 1 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) (PI.f32)) (/.f32 #s(literal -1/24 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 (PI.f32) #s(literal -1/24 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1/24 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32)))

simplify869.0ms (5.6%)

Memory
12.9MiB live, 888.9MiB allocated
Algorithm
egg-herbie
Rules
16 112×accelerator-lowering-fma.f32
16 112×accelerator-lowering-fma.f64
5 228×*-lowering-*.f32
5 228×*-lowering-*.f64
4 042×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05526181
116646061
246195979
082465811
Stop Event
iter limit
node limit
Counts
552 → 552
Calls
Call 1
Inputs
(/ 1/4 (* r (* s (PI))))
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(/ (+ (* 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)
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(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
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(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
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(/ 1/4 (* r (* s (PI))))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
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(/ (+ (* 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)))))
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(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(/ 1/8 (* r (* s (PI))))
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(/ (- (+ (* 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))
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(* -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))
(/ 1/8 (* r (* s (PI))))
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(/ (+ (* 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)
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(/ 1/8 (* r (* s (PI))))
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(/ (- (+ (* 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))
1/4
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(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
(* 1/4 (exp (* -1 (/ r s))))
1/4
(+ 1/4 (* -1/4 (/ r s)))
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(+ 1/4 (+ (* -1/4 (/ r s)) (+ (* -1/24 (/ (pow r 3) (pow s 3))) (* 1/8 (/ (pow r 2) (pow s 2))))))
1/4
(+ 1/4 (* -1/4 (/ r s)))
(+ 1/4 (* -1 (/ (+ (* -1/8 (/ (pow r 2) s)) (* 1/4 r)) s)))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow r 3) s)) (* 1/8 (pow r 2))) s)) (* 1/4 r)) s)))
(/ 1/4 (* r (* s (PI))))
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(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
(* r (* s (PI)))
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(* r (* s (PI)))
(* r (* s (PI)))
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(* r s)
(* r s)
(* r s)
(* r s)
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(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* r (* s (PI))))
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(/ 1/4 (* r (* s (PI))))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
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(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(/ 2 (* s (PI)))
(+ (* -1 (/ r (* (pow s 2) (PI)))) (* 2 (/ 1 (* s (PI)))))
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(/ (+ (* -1 (/ r (* s (PI)))) (+ (* 1/2 (/ (pow r 2) (* (pow s 2) (PI)))) (* 2 (/ 1 (PI))))) s)
(/ (+ (* -1 (/ r (* s (PI)))) (+ (* -1/6 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* 1/2 (/ (pow r 2) (* (pow s 2) (PI)))) (* 2 (/ 1 (PI)))))) s)
(/ 2 (* s (PI)))
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(* -1 (/ (- (* -1 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ (pow r 2) (* s (PI))))) s)) (* 2 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ r (PI))) (* -1 (/ (+ (* -1/2 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 3) (* s (PI))))) s))) s)) (* 2 (/ 1 (PI)))) s))
(/ 1/4 (* s (PI)))
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(/ 1/4 (* s (PI)))
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(/ (+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 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)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(* 1/8 (/ (+ (/ 1 (* s (PI))) (/ (exp (* -1 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ 1 (* s (PI))) (/ (exp (* -1 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ 1 (* s (PI))) (/ (exp (* -1 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ 1 (* s (PI))) (/ (exp (* -1 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ 1 (* s (PI))) (/ (exp (* -1 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ 1 (* s (PI))) (/ (exp (* -1 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ 1 (* s (PI))) (/ (exp (* -1 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ 1 (* s (PI))) (/ (exp (* -1 (/ r s))) (* s (PI)))) r))
(* 1/8 (/ (+ (/ 1 (PI)) (/ (exp (* -1 (/ r s))) (PI))) (* r s)))
(* 1/8 (/ (+ (/ 1 (PI)) (/ (exp (* -1 (/ r s))) (PI))) (* r s)))
(* 1/8 (/ (+ (/ 1 (PI)) (/ (exp (* -1 (/ r s))) (PI))) (* r s)))
(* 1/8 (/ (+ (/ 1 (PI)) (/ (exp (* -1 (/ r s))) (PI))) (* r s)))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/8 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/8 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/8 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* 1/48 (/ (pow r 2) (* s (PI))))) s)) (* 1/8 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1 (* s (PI)))
(+ (* -1 (/ r (* (pow s 2) (PI)))) (/ 1 (* s (PI))))
(+ (* r (- (* 1/2 (/ r (* (pow s 3) (PI)))) (/ 1 (* (pow s 2) (PI))))) (/ 1 (* s (PI))))
(+ (* r (- (* r (+ (* -1/6 (/ r (* (pow s 4) (PI)))) (* 1/2 (/ 1 (* (pow s 3) (PI)))))) (/ 1 (* (pow s 2) (PI))))) (/ 1 (* s (PI))))
(/ (exp (* -1 (/ r s))) (* s (PI)))
(/ (exp (* -1 (/ r s))) (* s (PI)))
(/ (exp (* -1 (/ r s))) (* s (PI)))
(/ (exp (* -1 (/ r s))) (* s (PI)))
(/ (exp (* -1 (/ r s))) (* s (PI)))
(/ (exp (* -1 (/ r s))) (* s (PI)))
(/ (exp (* -1 (/ r s))) (* s (PI)))
(/ (exp (* -1 (/ r s))) (* s (PI)))
(/ (exp (* -1 (/ r s))) (* s (PI)))
(/ (exp (* -1 (/ r s))) (* s (PI)))
(/ (exp (* -1 (/ r s))) (* s (PI)))
(/ (exp (* -1 (/ r s))) (* s (PI)))
(/ 1 (* s (PI)))
(/ (+ (* -1 (/ r (* s (PI)))) (/ 1 (PI))) s)
(/ (+ (* -1 (/ r (* s (PI)))) (+ (* 1/2 (/ (pow r 2) (* (pow s 2) (PI)))) (/ 1 (PI)))) s)
(/ (+ (* -1 (/ r (* s (PI)))) (+ (* -1/6 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* 1/2 (/ (pow r 2) (* (pow s 2) (PI)))) (/ 1 (PI))))) s)
(/ 1 (* s (PI)))
(* -1 (/ (- (/ r (* s (PI))) (/ 1 (PI))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ (pow r 2) (* s (PI))))) s)) (/ 1 (PI))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ r (PI))) (* -1 (/ (+ (* -1/2 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 3) (* s (PI))))) s))) s)) (/ 1 (PI))) s))
(* 1/144 (/ r (PI)))
(* r (+ (* -1/1296 (/ r (* s (PI)))) (* 1/144 (/ 1 (PI)))))
(* r (+ (* -1/1296 (/ r (* s (PI)))) (* 1/144 (/ 1 (PI)))))
(* r (+ (* -1/1296 (/ r (* s (PI)))) (* 1/144 (/ 1 (PI)))))
(* -1/1296 (/ (pow r 2) (* s (PI))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI))))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI))))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI))))))
(* -1/1296 (/ (pow r 2) (* s (PI))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI))))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI))))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (PI)))) (* 1/1296 (/ 1 (* s (PI))))))
(* -1/1296 (/ (pow r 2) (* s (PI))))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) s)
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) s)
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) s)
(* 1/144 (/ r (PI)))
(+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI))))
(+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI))))
(+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI))))
(* 1/144 (/ r (PI)))
(+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI))))
(+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI))))
(+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI))))
(* 1/144 (/ r (* (pow s 2) (PI))))
(* r (+ (* -1/1296 (/ r (* (pow s 3) (PI)))) (* 1/144 (/ 1 (* (pow s 2) (PI))))))
(* r (+ (* -1/1296 (/ r (* (pow s 3) (PI)))) (* 1/144 (/ 1 (* (pow s 2) (PI))))))
(* r (+ (* -1/1296 (/ r (* (pow s 3) (PI)))) (* 1/144 (/ 1 (* (pow s 2) (PI))))))
(* -1/1296 (/ (pow r 2) (* (pow s 3) (PI))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/1296 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/1296 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/1296 (/ 1 (* (pow s 3) (PI))))))
(* -1/1296 (/ (pow r 2) (* (pow s 3) (PI))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/1296 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/1296 (/ 1 (* (pow s 3) (PI))))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/1296 (/ 1 (* (pow s 3) (PI))))))
(* -1/1296 (/ (pow r 2) (* (pow s 3) (PI))))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) (pow s 3))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) (pow s 3))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) (pow s 3))
(* 1/144 (/ r (* (pow s 2) (PI))))
(/ (+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI)))) (pow s 2))
(/ (+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI)))) (pow s 2))
(/ (+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI)))) (pow s 2))
(* 1/144 (/ r (* (pow s 2) (PI))))
(/ (+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI)))) (pow s 2))
(/ (+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ r (PI)))) (pow s 2))
(/ (+ (* -1/1296 (/ (pow r 2) (* s (PI)))) (* 1/144 (/ 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)
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (/ 1/144 (* r (* (pow s 3) (PI)))) (+ (* 1/1296 (/ 1 (* (pow s 4) (PI)))) (/ 1/24 (* (pow r 2) (* (pow s 2) (PI)))))))
(* (pow r 2) (- (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* (pow r 3) (* s (PI))))) (+ (/ 1/144 (* r (* (pow s 3) (PI)))) (/ 1/8 (* (pow r 3) (* s (PI)))))) (+ (* 1/1296 (/ 1 (* (pow s 4) (PI)))) (* 1/24 (/ 1 (* (pow r 2) (* (pow s 2) (PI))))))))
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/24 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)) (* 1/24 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) (pow s 4))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* s (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))))) (pow s 4))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* s (+ (* 1/144 (/ r (PI))) (* s (- (* s (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (* 1/24 (/ 1 (PI)))))))) (pow s 4))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* 2 (* s (PI)))
(* 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)))
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* 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))))
(* -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))
(* 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 (* s (PI)))
(/ 1 (* s (PI)))
(/ 1 (* s (PI)))
(/ 1 (* s (PI)))
(/ 1 (* s (PI)))
(/ 1 (* s (PI)))
(/ 1 (* s (PI)))
(/ 1 (* s (PI)))
(/ 1 (* s (PI)))
(/ 1 (* s (PI)))
(/ 1 (* s (PI)))
(/ 1 (* s (PI)))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1 (/ r s)))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(* 1/144 (/ r (PI)))
(* 1/144 (/ r (PI)))
(* 1/144 (/ r (PI)))
(* 1/144 (/ r (PI)))
(* 1/144 (/ r (PI)))
(* 1/144 (/ r (PI)))
(* 1/144 (/ r (PI)))
(* 1/144 (/ r (PI)))
(* 1/144 (/ r (PI)))
(* 1/144 (/ r (PI)))
(* 1/144 (/ r (PI)))
(* 1/144 (/ r (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)))
(/ -1/24 (* s (PI)))
Outputs
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 s (*.f32 s s))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
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(* 2 (* r (* s (PI))))
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(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 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))
(* -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))
(* 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 (* s (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))
(/ 1 (* s (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))
(/ 1 (* s (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))
(/ 1 (* s (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))
(/ 1 (* s (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))
(/ 1 (* s (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))
(/ 1 (* s (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))
(/ 1 (* s (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))
(/ 1 (* s (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))
(/ 1 (* s (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))
(/ 1 (* s (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))
(/ 1 (* s (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(fma.f32 r (fma.f32 r (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 r (neg.f32 s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(fma.f32 (*.f32 r r) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 r s)))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
(fma.f32 (*.f32 r r) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 1 binary32) (/.f32 r s))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/2 binary32) r) s))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 r (*.f32 r r)) s) (*.f32 (*.f32 r r) #s(literal 1/2 binary32))) s)) s))
(* 1/144 (/ r (PI)))
(*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)))
(* 1/144 (/ r (PI)))
(*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)))
(* 1/144 (/ r (PI)))
(*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)))
(* 1/144 (/ r (PI)))
(*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)))
(* 1/144 (/ r (PI)))
(*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)))
(* 1/144 (/ r (PI)))
(*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)))
(* 1/144 (/ r (PI)))
(*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)))
(* 1/144 (/ r (PI)))
(*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)))
(* 1/144 (/ r (PI)))
(*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)))
(* 1/144 (/ r (PI)))
(*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)))
(* 1/144 (/ r (PI)))
(*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)))
(* 1/144 (/ r (PI)))
(*.f32 #s(literal 1/144 binary32) (/.f32 r (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)))
(/ -1/24 (* s (PI)))
(/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))

eval283.0ms (1.8%)

Memory
-16.1MiB live, 484.6MiB allocated
Compiler

Compiled 69 975 to 5 498 computations (92.1% saved)

prune339.0ms (2.2%)

Memory
-14.9MiB live, 902.7MiB allocated
Pruning

82 alts after pruning (79 fresh and 3 done)

PrunedKeptTotal
New1 983382 021
Fresh54146
Picked325
Done011
Total1 991822 073
Accuracy
99.9%
Counts
2 073 → 82
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(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)))))
9.2%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 #s(literal -1/1296 binary32) r) r) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s))
9.2%
(fma.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 #s(literal -1/1296 binary32) r) r) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))))
99.7%
(fma.f32 (/.f32 #s(literal -3/4 binary32) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) r))
97.7%
(fma.f32 (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) #s(literal -3/4 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))))) (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))))
7.5%
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
62.9%
(/.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(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32)))))
8.6%
(/.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 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (PI.f32))) (pow.f32 s #s(literal 4 binary32)))
9.2%
(/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)))) (*.f32 s (*.f32 s s)))
4.3%
(/.f32 (fma.f32 s (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32))) (*.f32 #s(literal -1/1296 binary32) (*.f32 r (/.f32 r (PI.f32))))) (pow.f32 s #s(literal 4 binary32)))
8.6%
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (*.f32 r s))
3.7%
(/.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 s #s(literal -1/24 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))
8.6%
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) s) r)
8.1%
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s) r)
8.2%
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
8.4%
(/.f32 (/.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)) (*.f32 s (PI.f32))) #s(literal 1/8 binary32)) (*.f32 s (*.f32 (PI.f32) (*.f32 s (PI.f32))))) r)
8.2%
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
8.2%
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (sqrt.f32 (PI.f32)))
8.2%
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
8.2%
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
8.2%
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))
8.2%
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s))
8.2%
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
8.7%
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))) s)) s)) (neg.f32 s))
8.7%
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
7.1%
(/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
8.7%
(/.f32 (+.f32 (/.f32 (*.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 5/72 binary32) (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
8.8%
(/.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)
8.1%
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
99.7%
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) r)
8.6%
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) #s(literal 1/8 binary32)) r)
4.7%
(/.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
8.6%
(/.f32 (*.f32 #s(literal 1/8 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) s) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))))) r)
8.6%
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) s) (*.f32 s (PI.f32)) (PI.f32)) (*.f32 (PI.f32) (*.f32 s (PI.f32))))) r)
8.6%
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) s) (PI.f32) (*.f32 (PI.f32) (/.f32 #s(literal 1 binary32) s))) (*.f32 (PI.f32) (PI.f32)))) r)
8.6%
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s (PI.f32)) (*.f32 (PI.f32) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (PI.f32) (*.f32 s (PI.f32))))) r)
8.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 s (neg.f32 (PI.f32)) (*.f32 (neg.f32 (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (neg.f32 (*.f32 s (PI.f32))) (*.f32 s (PI.f32))))) r)
8.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 (PI.f32) (*.f32 s (PI.f32)))) (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)) (*.f32 s (PI.f32)))))) r)
8.6%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1 binary32) s)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))) r)
9.1%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.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 s (PI.f32))))) r)
7.6%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
9.2%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
99.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32)) (*.f32 s (PI.f32))))) r)
98.2%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 (*.f32 r #s(literal -1/3 binary32))) (/.f32 #s(literal 1 binary32) s)) (*.f32 s (PI.f32))))) r)
99.7%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (PI.f32))))) r)
8.6%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) r)
8.6%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))) r)
9.2%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (/.f32 (*.f32 r (*.f32 r r)) s) #s(literal -1/162 binary32))) s)) s)) (*.f32 s (PI.f32))))) r)
99.7%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 #s(literal -3 binary32) r)))) (*.f32 s (PI.f32))))) r)
99.7%
(/.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 #s(literal -1/3 binary32) s) r)) (*.f32 s (PI.f32))))) r)
99.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (PI.f32))))) r)
8.6%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) r)
99.7%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 r s))
8.2%
(/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (PI.f32) (*.f32 s (PI.f32))))))) r)
8.2%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
8.2%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))))
8.2%
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
8.6%
(/.f32 #s(literal 1 binary32) (/.f32 r (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) #s(literal 1/8 binary32))))
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) s) (sqrt.f32 (PI.f32))))
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) r) (sqrt.f32 (PI.f32))))
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) (*.f32 s (sqrt.f32 (PI.f32)))))
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
7.4%
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
8.0%
(-.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)))))
6.6%
(+.f32 (/.f32 (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)) (/.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))
6.6%
(+.f32 (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s) (/.f32 (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))
6.6%
(+.f32 (/.f32 (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32)) (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 r r))) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
9.2%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 (/.f32 #s(literal -1/24 binary32) s) (PI.f32)))) s))
9.2%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (*.f32 r (fma.f32 #s(literal -1/1296 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s))
8.6%
(+.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 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
99.7%
(+.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))) (/.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) #s(literal -3/4 binary32)) r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))
8.2%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))))
8.2%
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))
8.2%
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
99.7%
(*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) r))
99.7%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (/.f32 #s(literal 1/8 binary32) r))
8.6%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) r))
2.2%
(*.f32 r (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))))
Compiler

Compiled 3 985 to 2 577 computations (35.3% saved)

simplify326.0ms (2.1%)

Memory
35.8MiB live, 466.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff160
(fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))
cost-diff192
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
cost-diff320
(fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s))
cost-diff512
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 s (PI.f32)))))
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-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-diff608
(+.f32 (/.f32 (*.f32 #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 r (*.f32 s (PI.f32)))))
cost-diff0
(PI.f32)
cost-diff0
(sqrt.f32 (PI.f32))
cost-diff0
(/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32)))
cost-diff992
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))
cost-diff0
(PI.f32)
cost-diff0
(*.f32 r (PI.f32))
cost-diff0
(*.f32 (*.f32 r (PI.f32)) s)
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
cost-diff0
(/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))
cost-diff64
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))
cost-diff352
(/.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) #s(literal -3/4 binary32)) r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))))
cost-diff768
(+.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))) (/.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) #s(literal -3/4 binary32)) r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))
Rules
9 784×accelerator-lowering-fma.f32
9 784×accelerator-lowering-fma.f64
5 120×*-lowering-*.f32
5 120×*-lowering-*.f64
2 340×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062521
1168519
2477510
31259478
43232478
54464468
66050468
76400468
86460468
96483468
08152450
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* 1/8 (/ (exp (/ r (neg s))) (* r (* s (PI))))) (/ (/ (* (exp (/ (* r -1/3) s)) -3/4) r) (* s (* (PI) -6))))
(* 1/8 (/ (exp (/ r (neg s))) (* r (* s (PI)))))
1/8
(/ (exp (/ r (neg s))) (* r (* s (PI))))
(exp (/ r (neg s)))
(/ r (neg s))
r
(neg s)
s
(* r (* s (PI)))
(* s (PI))
(PI)
(/ (/ (* (exp (/ (* r -1/3) s)) -3/4) r) (* s (* (PI) -6)))
(/ (* (exp (/ (* r -1/3) s)) -3/4) r)
(* (exp (/ (* r -1/3) s)) -3/4)
(exp (/ (* r -1/3) s))
(/ (* r -1/3) s)
(* r -1/3)
-1/3
-3/4
(* s (* (PI) -6))
(* (PI) -6)
-6
(/ 1/4 (* (* r (PI)) s))
1/4
(* (* r (PI)) s)
(* r (PI))
r
(PI)
s
(/ (/ 1/4 (sqrt (PI))) (* r (* s (sqrt (PI)))))
(/ 1/4 (sqrt (PI)))
1/4
(sqrt (PI))
(PI)
(* r (* s (sqrt (PI))))
r
(* s (sqrt (PI)))
s
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ 1/8 (* r (* s (PI)))))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(* 1/4 (exp (/ (neg r) s)))
1/4
(exp (/ (neg r) s))
(/ (neg r) s)
(neg r)
r
s
(* (* (* 2 (PI)) s) r)
(* (* 2 (PI)) s)
(* 2 (PI))
2
(PI)
(/ 1/8 (* r (* s (PI))))
1/8
(* r (* s (PI)))
(* s (PI))
(/ (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (+ (* r (+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))) 1) (* s (PI))))) r)
(* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (+ (* r (+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))) 1) (* s (PI)))))
1/8
(+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (+ (* r (+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))) 1) (* s (PI))))
(/ (exp (/ r (neg s))) (* s (PI)))
(exp (/ r (neg s)))
(/ r (neg s))
r
(neg s)
s
(* s (PI))
(PI)
(/ (+ (* r (+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))) 1) (* s (PI)))
(+ (* r (+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))) 1)
(+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))
(+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))
(/ r (* s (* s s)))
(* s (* s s))
(* s s)
-1/162
(/ 1/18 (* s s))
1/18
(/ -1/3 s)
-1/3
1
Outputs
(+ (* 1/8 (/ (exp (/ r (neg s))) (* r (* s (PI))))) (/ (/ (* (exp (/ (* r -1/3) s)) -3/4) r) (* s (* (PI) -6))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))))
(* 1/8 (/ (exp (/ r (neg s))) (* r (* s (PI)))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
1/8
#s(literal 1/8 binary32)
(/ (exp (/ r (neg s))) (* r (* s (PI))))
(/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (*.f32 s (PI.f32))))
(exp (/ r (neg s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(/ r (neg s))
(neg.f32 (/.f32 r s))
r
(neg s)
(neg.f32 s)
s
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* s (PI))
(*.f32 s (PI.f32))
(PI)
(PI.f32)
(/ (/ (* (exp (/ (* r -1/3) s)) -3/4) r) (* s (* (PI) -6)))
(*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/ (* (exp (/ (* r -1/3) s)) -3/4) r)
(*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (/.f32 #s(literal -3/4 binary32) r))
(* (exp (/ (* r -1/3) s)) -3/4)
(*.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) #s(literal -3/4 binary32))
(exp (/ (* r -1/3) s))
(exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))
(/ (* r -1/3) s)
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* r -1/3)
(*.f32 r #s(literal -1/3 binary32))
-1/3
#s(literal -1/3 binary32)
-3/4
#s(literal -3/4 binary32)
(* s (* (PI) -6))
(*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))
(* (PI) -6)
(*.f32 (PI.f32) #s(literal -6 binary32))
-6
#s(literal -6 binary32)
(/ 1/4 (* (* r (PI)) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
1/4
#s(literal 1/4 binary32)
(* (* r (PI)) s)
(*.f32 r (*.f32 s (PI.f32)))
(* r (PI))
(*.f32 r (PI.f32))
r
(PI)
(PI.f32)
s
(/ (/ 1/4 (sqrt (PI))) (* r (* s (sqrt (PI)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/4 (sqrt (PI)))
(/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32)))
1/4
#s(literal 1/4 binary32)
(sqrt (PI))
(sqrt.f32 (PI.f32))
(PI)
(PI.f32)
(* r (* s (sqrt (PI))))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
r
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
s
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ 1/8 (* r (* s (PI)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1 binary32)))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (exp.f32 (/.f32 r s))))
(* 1/4 (exp (/ (neg r) s)))
(*.f32 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(exp (/ (neg r) s))
(exp.f32 (neg.f32 (/.f32 r s)))
(/ (neg r) s)
(neg.f32 (/.f32 r s))
(neg r)
(neg.f32 r)
r
s
(* (* (* 2 (PI)) s) r)
(*.f32 r (*.f32 (PI.f32) (*.f32 s #s(literal 2 binary32))))
(* (* 2 (PI)) s)
(*.f32 (PI.f32) (*.f32 s #s(literal 2 binary32)))
(* 2 (PI))
(*.f32 (PI.f32) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
1/8
#s(literal 1/8 binary32)
(* r (* s (PI)))
(*.f32 r (*.f32 s (PI.f32)))
(* s (PI))
(*.f32 s (PI.f32))
(/ (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (+ (* r (+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))) 1) (* s (PI))))) r)
(*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (fma.f32 (/.f32 r s) (fma.f32 (/.f32 r s) (fma.f32 #s(literal -1/162 binary32) (/.f32 r s) #s(literal 1/18 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (+ (* r (+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))) 1) (* s (PI)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (fma.f32 (/.f32 r s) (fma.f32 (/.f32 r s) (fma.f32 #s(literal -1/162 binary32) (/.f32 r s) #s(literal 1/18 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32))))
1/8
#s(literal 1/8 binary32)
(+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (+ (* r (+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))) 1) (* s (PI))))
(+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 (/.f32 r s) (fma.f32 (/.f32 r s) (fma.f32 #s(literal -1/162 binary32) (/.f32 r s) #s(literal 1/18 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) (*.f32 s (PI.f32))))
(/ (exp (/ r (neg s))) (* s (PI)))
(/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32)))
(exp (/ r (neg s)))
(exp.f32 (neg.f32 (/.f32 r s)))
(/ r (neg s))
(neg.f32 (/.f32 r s))
r
(neg s)
(neg.f32 s)
s
(* s (PI))
(*.f32 s (PI.f32))
(PI)
(PI.f32)
(/ (+ (* r (+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))) 1) (* s (PI)))
(/.f32 (fma.f32 (/.f32 r s) (fma.f32 (/.f32 r s) (fma.f32 #s(literal -1/162 binary32) (/.f32 r s) #s(literal 1/18 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32)) (*.f32 s (PI.f32)))
(+ (* r (+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))) 1)
(fma.f32 (/.f32 r s) (fma.f32 (/.f32 r s) (fma.f32 #s(literal -1/162 binary32) (/.f32 r s) #s(literal 1/18 binary32)) #s(literal -1/3 binary32)) #s(literal 1 binary32))
(+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))
(fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 #s(literal -1/162 binary32) (/.f32 r s) #s(literal 1/18 binary32)) (/.f32 #s(literal -1/3 binary32) s))
(+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* 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)))
(/ r (* s (* s s)))
(/.f32 r (*.f32 s (*.f32 s s)))
(* s (* s s))
(*.f32 s (*.f32 s s))
(* s s)
(*.f32 s s)
-1/162
#s(literal -1/162 binary32)
(/ 1/18 (* s s))
(/.f32 #s(literal 1/18 binary32) (*.f32 s s))
1/18
#s(literal 1/18 binary32)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
-1/3
#s(literal -1/3 binary32)
1
#s(literal 1 binary32)

localize236.0ms (1.5%)

Memory
-8.6MiB live, 474.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy98.9%
(fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))
accuracy98.9%
(/.f32 #s(literal -1/3 binary32) s)
accuracy98.9%
(*.f32 s (PI.f32))
accuracy45.8%
(fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))
accuracy99.2%
(*.f32 r (*.f32 s (PI.f32)))
accuracy99.2%
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
accuracy98.9%
(*.f32 s (PI.f32))
accuracy99.2%
(*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))
accuracy98.8%
(*.f32 s (sqrt.f32 (PI.f32)))
accuracy98.1%
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))
accuracy96.9%
(/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32)))
accuracy100.0%
(PI.f32)
accuracy99.2%
(*.f32 (*.f32 r (PI.f32)) s)
accuracy99.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
accuracy99.0%
(*.f32 r (PI.f32))
accuracy99.4%
(/.f32 (*.f32 r #s(literal -1/3 binary32)) s)
accuracy99.2%
(*.f32 r (*.f32 s (PI.f32)))
accuracy98.9%
(*.f32 r #s(literal -1/3 binary32))
accuracy98.9%
(*.f32 s (PI.f32))
Samples
121.0ms256×0valid
Compiler

Compiled 529 to 64 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-mult: 30.0ms (32.4% of total)
ival-div: 26.0ms (28% of total)
ival-exp: 13.0ms (14% of total)
const: 10.0ms (10.8% of total)
ival-add: 6.0ms (6.5% of total)
ival-sqrt: 2.0ms (2.2% of total)
ival-neg: 2.0ms (2.2% of total)
ival-pi: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series39.0ms (0.2%)

Memory
18.0MiB live, 55.9MiB allocated
Counts
29 → 552
Calls
Call 1
Inputs
#<alt (+ (* 1/8 (/ (exp (/ r (neg s))) (* r (* s (PI))))) (/ (/ (* (exp (/ (* r -1/3) s)) -3/4) r) (* s (* (PI) -6))))>
#<alt (/ (/ (* (exp (/ (* r -1/3) s)) -3/4) r) (* s (* (PI) -6)))>
#<alt (* 1/8 (/ (exp (/ r (neg s))) (* r (* s (PI)))))>
#<alt (/ (exp (/ r (neg s))) (* r (* s (PI))))>
#<alt (/ 1/4 (* (* r (PI)) s))>
#<alt (* (* r (PI)) s)>
#<alt (* r (PI))>
#<alt (PI)>
#<alt (/ (/ 1/4 (sqrt (PI))) (* r (* s (sqrt (PI)))))>
#<alt (/ 1/4 (sqrt (PI)))>
#<alt (sqrt (PI))>
#<alt (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ 1/8 (* r (* s (PI)))))>
#<alt (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))>
#<alt (* 1/4 (exp (/ (neg r) s)))>
#<alt (exp (/ (neg r) s))>
#<alt (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (+ (* r (+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))) 1) (* s (PI)))))>
#<alt (+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))>
#<alt (/ (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (+ (* r (+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))) 1) (* s (PI))))) r)>
#<alt (+ (* r (+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))) 1)>
#<alt (* s (PI))>
#<alt (* r -1/3)>
#<alt (* r (* s (PI)))>
#<alt (/ (* r -1/3) s)>
#<alt (* s (sqrt (PI)))>
#<alt (* r (* s (sqrt (PI))))>
#<alt (* (* 2 (PI)) s)>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))>
#<alt (/ -1/3 s)>
Outputs
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<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)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* 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)>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)>
#<alt (/ (- (+ (* -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)>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (* -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))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* 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)>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/8 (* s (PI)))) s)>
#<alt (/ (- (+ (* -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)>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))>
#<alt (* -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))>
#<alt (/ 1 (* r (* s (PI))))>
#<alt (/ (+ (* -1 (/ r (* (pow s 2) (PI)))) (/ 1 (* s (PI)))) r)>
#<alt (/ (+ (* r (- (* 1/2 (/ r (* (pow s 3) (PI)))) (/ 1 (* (pow s 2) (PI))))) (/ 1 (* s (PI)))) r)>
#<alt (/ (+ (* r (- (* r (+ (* -1/6 (/ r (* (pow s 4) (PI)))) (* 1/2 (/ 1 (* (pow s 3) (PI)))))) (/ 1 (* (pow s 2) (PI))))) (/ 1 (* s (PI)))) r)>
#<alt (/ (exp (* -1 (/ r s))) (* r (* s (PI))))>
#<alt (/ (exp (* -1 (/ r s))) (* r (* s (PI))))>
#<alt (/ (exp (* -1 (/ r s))) (* r (* s (PI))))>
#<alt (/ (exp (* -1 (/ r s))) (* r (* s (PI))))>
#<alt (/ (exp (* -1 (/ r s))) (* r (* s (PI))))>
#<alt (/ (exp (* -1 (/ r s))) (* r (* s (PI))))>
#<alt (/ (exp (* -1 (/ r s))) (* r (* s (PI))))>
#<alt (/ (exp (* -1 (/ r s))) (* r (* s (PI))))>
#<alt (/ (exp (* -1 (/ r s))) (* r (* s (PI))))>
#<alt (/ (exp (* -1 (/ r s))) (* r (* s (PI))))>
#<alt (/ (exp (* -1 (/ r s))) (* r (* s (PI))))>
#<alt (/ (exp (* -1 (/ r s))) (* r (* s (PI))))>
#<alt (/ 1 (* r (* s (PI))))>
#<alt (/ (- (/ 1 (* r (PI))) (/ 1 (* s (PI)))) s)>
#<alt (/ (- (+ (* 1/2 (/ r (* (pow s 2) (PI)))) (/ 1 (* r (PI)))) (/ 1 (* s (PI)))) s)>
#<alt (/ (- (+ (* -1/6 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/2 (/ r (* (pow s 2) (PI)))) (/ 1 (* r (PI))))) (/ 1 (* s (PI)))) s)>
#<alt (/ 1 (* r (* s (PI))))>
#<alt (* -1 (/ (- (/ 1 (* s (PI))) (/ 1 (* r (PI)))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ r (* s (PI)))) (/ 1 (PI))) s)) (/ 1 (* r (PI)))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ r (PI))) (* 1/6 (/ (pow r 2) (* s (PI))))) s)) (/ 1 (PI))) s)) (/ 1 (* r (PI)))) s))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ 1/4 (* r (* s (PI))))>
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#<alt (+ 1 (* -1/3 (/ r s)))>
#<alt (+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))>
#<alt (+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (/ r s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* s (PI))>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* -1/3 r)>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* r (* s (PI)))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* -1/3 (/ r s))>
#<alt (* s (sqrt (PI)))>
#<alt (* s (sqrt (PI)))>
#<alt (* s (sqrt (PI)))>
#<alt (* s (sqrt (PI)))>
#<alt (* s (sqrt (PI)))>
#<alt (* s (sqrt (PI)))>
#<alt (* s (sqrt (PI)))>
#<alt (* s (sqrt (PI)))>
#<alt (* s (sqrt (PI)))>
#<alt (* s (sqrt (PI)))>
#<alt (* s (sqrt (PI)))>
#<alt (* s (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* (* r s) (sqrt (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (* 2 (* s (PI)))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/8 (* r (* s (PI))))>
#<alt (/ 1/18 (pow s 2))>
#<alt (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))>
#<alt (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))>
#<alt (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))>
#<alt (* -1/162 (/ r (pow s 3)))>
#<alt (* r (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))>
#<alt (* r (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))>
#<alt (* r (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))>
#<alt (* -1/162 (/ r (pow s 3)))>
#<alt (* -1 (* r (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))>
#<alt (* -1 (* r (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))>
#<alt (* -1 (* r (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))>
#<alt (* -1/162 (/ r (pow s 3)))>
#<alt (/ (+ (* -1/162 r) (* 1/18 s)) (pow s 3))>
#<alt (/ (+ (* -1/162 r) (* 1/18 s)) (pow s 3))>
#<alt (/ (+ (* -1/162 r) (* 1/18 s)) (pow s 3))>
#<alt (/ 1/18 (pow s 2))>
#<alt (/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))>
#<alt (/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))>
#<alt (/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))>
#<alt (/ 1/18 (pow s 2))>
#<alt (/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))>
#<alt (/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))>
#<alt (/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))>
#<alt (/ -1/3 s)>
#<alt (/ -1/3 s)>
#<alt (/ -1/3 s)>
#<alt (/ -1/3 s)>
#<alt (/ -1/3 s)>
#<alt (/ -1/3 s)>
#<alt (/ -1/3 s)>
#<alt (/ -1/3 s)>
#<alt (/ -1/3 s)>
#<alt (/ -1/3 s)>
#<alt (/ -1/3 s)>
#<alt (/ -1/3 s)>
Calls

138 calls:

TimeVariablePointExpression
11.0ms
r
@-inf
(+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))
3.0ms
r
@0
(+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))
1.0ms
r
@-inf
(* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (+ (* r (+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))) 1) (* s (PI)))))
1.0ms
r
@0
(* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (+ (* r (+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))) 1) (* s (PI)))))
1.0ms
s
@0
(* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (+ (* r (+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))) 1) (* s (PI)))))

rewrite350.0ms (2.2%)

Memory
-16.2MiB live, 548.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 036×*-lowering-*.f32
5 036×*-lowering-*.f64
3 746×/-lowering-/.f32
3 746×/-lowering-/.f64
3 560×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062323
1376317
24013317
08548303
Stop Event
iter limit
node limit
Counts
29 → 883
Calls
Call 1
Inputs
(+ (* 1/8 (/ (exp (/ r (neg s))) (* r (* s (PI))))) (/ (/ (* (exp (/ (* r -1/3) s)) -3/4) r) (* s (* (PI) -6))))
(/ (/ (* (exp (/ (* r -1/3) s)) -3/4) r) (* s (* (PI) -6)))
(* 1/8 (/ (exp (/ r (neg s))) (* r (* s (PI)))))
(/ (exp (/ r (neg s))) (* r (* s (PI))))
(/ 1/4 (* (* r (PI)) s))
(* (* r (PI)) s)
(* r (PI))
(PI)
(/ (/ 1/4 (sqrt (PI))) (* r (* s (sqrt (PI)))))
(/ 1/4 (sqrt (PI)))
(sqrt (PI))
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ 1/8 (* r (* s (PI)))))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(* 1/4 (exp (/ (neg r) s)))
(exp (/ (neg r) s))
(* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (+ (* r (+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))) 1) (* s (PI)))))
(+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))
(/ (* 1/8 (+ (/ (exp (/ r (neg s))) (* s (PI))) (/ (+ (* r (+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))) 1) (* s (PI))))) r)
(+ (* r (+ (* r (+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))) (/ -1/3 s))) 1)
(* s (PI))
(* r -1/3)
(* r (* s (PI)))
(/ (* r -1/3) s)
(* s (sqrt (PI)))
(* r (* s (sqrt (PI))))
(* (* 2 (PI)) s)
(/ 1/8 (* r (* s (PI))))
(+ (* (/ r (* s (* s s))) -1/162) (/ 1/18 (* s s)))
(/ -1/3 s)
Outputs
(+.f32 (*.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 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))))
(+.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))) (*.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)))))
(pow.f32 (/.f32 (fma.f32 (*.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 (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 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))))) (*.f32 (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))) (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 s (PI.f32))))))) (fma.f32 #s(literal 1/512 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r (neg.f32 s)) #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 r r) r) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (pow.f32 (*.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)))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))) (*.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 (exp.f32 (+.f32 (/.f32 r (neg.f32 s)) (/.f32 r (neg.f32 s)))) (/.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 s (PI.f32)))))) (pow.f32 (*.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)))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))) (*.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)))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) (*.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(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32)))))) (*.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)))))
(fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (*.f32 (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)))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))) #s(literal 1/8 binary32) (*.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)))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (/.f32 #s(literal -3/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))))
(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 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 (/.f32 #s(literal -3/4 binary32) r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))))
(fma.f32 #s(literal -3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal -6 binary32)) r))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal -6 binary32)) r))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) r)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))))
(fma.f32 #s(literal 1/4 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (*.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)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32))))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal -6 binary32)) r)))))
(fma.f32 #s(literal 1 binary32) (*.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 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))))
(fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))) (*.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)))))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 r) (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (*.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)))))
(fma.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal 3/4 binary32)) r) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))))
(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 -3/4 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal -6 binary32)) r)))))
(fma.f32 (/.f32 #s(literal 1 binary32) r) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal -3/4 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal -6 binary32)) r)))))
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(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 r #s(literal -1/3 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 r #s(literal -1/3 binary32))) #s(literal -1 binary32)))
(*.f32 s (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) s)
(*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))
(*.f32 s (*.f32 (sqrt.f32 (PI.f32)) r))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s))
(*.f32 (*.f32 s (sqrt.f32 (PI.f32))) r)
(*.f32 (*.f32 r s) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 r (sqrt.f32 (PI.f32))) s)
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) s))
(*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s)
(*.f32 (*.f32 s #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) s) (PI.f32))
(neg.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))) #s(literal -1 binary32)))
(pow.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/8 binary32) r)) #s(literal -1 binary32))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/8 binary32) (neg.f32 (*.f32 r (*.f32 (neg.f32 s) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/8 binary32) r)))
(/.f32 #s(literal -1/8 binary32) (*.f32 r (*.f32 (neg.f32 s) (PI.f32))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) r)
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) r)) (*.f32 (neg.f32 s) (PI.f32)))
(/.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s)
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) s) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (PI.f32)) s)
(*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(*.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (neg.f32 s) (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) r) (pow.f32 (/.f32 (*.f32 s (PI.f32)) #s(literal 1/8 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/8 binary32) r))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 (*.f32 r (PI.f32)) #s(literal 1/8 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (PI.f32)))) #s(literal 1/8 binary32))
(*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (pow.f32 (/.f32 s #s(literal 1/8 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r s)) (pow.f32 (/.f32 (PI.f32) #s(literal 1/8 binary32)) #s(literal -1 binary32)))
(+.f32 (*.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32)) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))
(+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (*.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32)))
(pow.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (*.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32))) (/.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))))) (fma.f32 (/.f32 (*.f32 (*.f32 r r) r) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) #s(literal -1/4251528 binary32) (/.f32 #s(literal 1/5832 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s))) (neg.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))) (-.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 (*.f32 s (*.f32 s s)) s)))) #s(literal -1 binary32))
(fma.f32 r (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32)) (/.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)))
(fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s 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 #s(literal 1/18 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (*.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32)))
(fma.f32 #s(literal -1/18 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (neg.f32 s))) (*.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/18 binary32) s) (*.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) #s(literal 1/18 binary32) (*.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32)))
(fma.f32 (/.f32 r s) (/.f32 #s(literal -1/162 binary32) (*.f32 s s)) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))
(fma.f32 (*.f32 r #s(literal -1/162 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))
(fma.f32 (/.f32 #s(literal 1/18 binary32) s) (/.f32 #s(literal 1 binary32) s) (*.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32)))
(fma.f32 (/.f32 r (*.f32 s s)) (/.f32 #s(literal -1/162 binary32) s) (/.f32 #s(literal 1/18 binary32) (*.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)))) (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s))) (neg.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s))))) (/.f32 (/.f32 #s(literal 1/324 binary32) (*.f32 (*.f32 s (*.f32 s s)) s)) (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s))) (neg.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (*.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32))) (/.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))))) (fma.f32 (/.f32 (*.f32 (*.f32 r r) r) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) #s(literal -1/4251528 binary32) (/.f32 #s(literal 1/5832 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s))) (neg.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))) (-.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 (*.f32 s (*.f32 s s)) s)))))
(/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 r r) r) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) #s(literal -1/4251528 binary32) (/.f32 #s(literal 1/5832 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (fma.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (*.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32))) (/.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 (fma.f32 (/.f32 (*.f32 (*.f32 r r) r) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) #s(literal -1/4251528 binary32) (/.f32 #s(literal 1/5832 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) (+.f32 (/.f32 #s(literal 1/324 binary32) (*.f32 (*.f32 s (*.f32 s s)) s)) (-.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 (*.f32 (*.f32 r #s(literal -1/162 binary32)) #s(literal 1/18 binary32)) (*.f32 (*.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 (*.f32 s (*.f32 s s)) s))) (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s))) (neg.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)))))
(/.f32 (fma.f32 (*.f32 r #s(literal -1/162 binary32)) (*.f32 s s) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1/18 binary32))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))
(/.f32 (fma.f32 (*.f32 r #s(literal -1/162 binary32)) (*.f32 (*.f32 s s) #s(literal 18 binary32)) (*.f32 (*.f32 s (*.f32 s s)) #s(literal 1 binary32))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s s) #s(literal 18 binary32))))
(/.f32 (fma.f32 (*.f32 r #s(literal -1/162 binary32)) (*.f32 s (neg.f32 s)) (*.f32 (*.f32 s (*.f32 s s)) #s(literal -1/18 binary32))) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (neg.f32 s))))
(/.f32 (fma.f32 (*.f32 r #s(literal -1/162 binary32)) s (*.f32 (*.f32 s (*.f32 s s)) (/.f32 #s(literal 1/18 binary32) s))) (*.f32 (*.f32 s (*.f32 s s)) s))
(/.f32 (fma.f32 #s(literal 1/18 binary32) (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s s) (*.f32 r #s(literal -1/162 binary32)))) (*.f32 (*.f32 s s) (*.f32 s (*.f32 s s))))
(/.f32 (fma.f32 s (*.f32 s s) (*.f32 (*.f32 (*.f32 s s) #s(literal 18 binary32)) (*.f32 r #s(literal -1/162 binary32)))) (*.f32 (*.f32 (*.f32 s s) #s(literal 18 binary32)) (*.f32 s (*.f32 s s))))
(/.f32 (fma.f32 #s(literal -1/18 binary32) (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (neg.f32 s)) (*.f32 r #s(literal -1/162 binary32)))) (*.f32 (*.f32 s (neg.f32 s)) (*.f32 s (*.f32 s s))))
(/.f32 (fma.f32 (/.f32 #s(literal 1/18 binary32) s) (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 r #s(literal -1/162 binary32)))) (*.f32 s (*.f32 s (*.f32 s s))))
(/.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 (*.f32 r r) r) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) #s(literal -1/4251528 binary32) (/.f32 #s(literal 1/5832 binary32) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))))) (neg.f32 (fma.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (-.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (*.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32))) (/.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 (neg.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 (*.f32 s (*.f32 s s)) s)))) (neg.f32 (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s))) (neg.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s))))))
(/.f32 (-.f32 (/.f32 #s(literal 1/324 binary32) (*.f32 (*.f32 s (*.f32 s 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 (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32))))
(*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 r r) r) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s))))) #s(literal -1/4251528 binary32) (/.f32 #s(literal 1/5832 binary32) (*.f32 (*.f32 s (*.f32 s 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 (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32))) (/.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 (*.f32 s (*.f32 s s)) s))) (/.f32 #s(literal 1 binary32) (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.f32 s (*.f32 s s))) (neg.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 s s))))))
(neg.f32 (/.f32 #s(literal 1/3 binary32) s))
(exp.f32 (*.f32 (log.f32 (*.f32 s #s(literal -3 binary32))) #s(literal -1 binary32)))
(pow.f32 (*.f32 s #s(literal -3 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal -1/3 binary32) s)
(/.f32 #s(literal 1 binary32) (*.f32 s #s(literal -3 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal -3 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1/3 binary32) (neg.f32 s))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal -3 binary32))))
(*.f32 #s(literal -1/3 binary32) (/.f32 #s(literal 1 binary32) s))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/3 binary32) s))
(*.f32 #s(literal 1/3 binary32) (/.f32 #s(literal -1 binary32) s))
(*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/3 binary32))

simplify423.0ms (2.7%)

Memory
18.1MiB live, 802.5MiB allocated
Algorithm
egg-herbie
Rules
9 048×accelerator-lowering-fma.f32
9 048×accelerator-lowering-fma.f64
6 046×*-lowering-*.f32
6 046×*-lowering-*.f64
2 728×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07526535
122736418
264956359
082036169
Stop Event
iter limit
node limit
Counts
552 → 552
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))))
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(/ (+ (* 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)
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (/ 1/144 (* r (* (pow s 3) (PI)))) (+ (* 1/1296 (/ 1 (* (pow s 4) (PI)))) (/ 1/24 (* (pow r 2) (* (pow s 2) (PI)))))))
(* (pow r 2) (- (+ (* 1/8 (/ (+ (/ 1 (* s (PI))) (/ (exp (* -1 (/ r s))) (* s (PI)))) (pow r 3))) (/ 1/144 (* r (* (pow s 3) (PI))))) (+ (* 1/1296 (/ 1 (* (pow s 4) (PI)))) (* 1/24 (/ 1 (* (pow r 2) (* (pow s 2) (PI))))))))
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(* (pow r 2) (- (* 1/144 (/ 1 (* r (* (pow s 3) (PI))))) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* 1/24 (/ 1 (* r (* (pow s 2) (PI))))) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(* (pow r 2) (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (+ (/ 1 (* s (PI))) (/ (exp (* -1 (/ r s))) (* s (PI)))) r)) (* 1/24 (/ 1 (* (pow s 2) (PI))))) r)) (* 1/144 (/ 1 (* (pow s 3) (PI))))) r)) (* 1/1296 (/ 1 (* (pow s 4) (PI))))))
(* -1/1296 (/ (pow r 2) (* (pow s 4) (PI))))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* 1/144 (/ (* r s) (PI)))) (pow s 4))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* s (+ (* -1/24 (/ s (PI))) (* 1/144 (/ r (PI)))))) (pow s 4))
(/ (+ (* -1/1296 (/ (pow r 2) (PI))) (* s (+ (* 1/144 (/ r (PI))) (* s (- (* 1/8 (* s (+ (/ 1 (* r (PI))) (/ (exp (* -1 (/ r s))) (* r (PI)))))) (* 1/24 (/ 1 (PI)))))))) (pow s 4))
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* 1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/8 (/ (+ (* 1/18 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1/8 (/ (+ (* -1/2 (/ r (PI))) (* -1/18 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (* -1/162 (/ (pow r 2) (PI)))) s)) (* 1/8 (+ (* -1/2 (/ r (PI))) (* -1/18 (/ r (PI)))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(* -1/162 (/ (pow r 3) (pow s 3)))
(* (pow r 3) (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(* (pow r 3) (- (/ 1/18 (* r (pow s 2))) (+ (* 1/162 (/ 1 (pow s 3))) (/ 1/3 (* (pow r 2) s)))))
(* (pow r 3) (- (+ (/ 1/18 (* r (pow s 2))) (/ 1 (pow r 3))) (+ (* 1/162 (/ 1 (pow s 3))) (* 1/3 (/ 1 (* (pow r 2) s))))))
(* -1/162 (/ (pow r 3) (pow s 3)))
(* -1 (* (pow r 3) (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))
(* -1 (* (pow r 3) (+ (* -1 (/ (- (* 1/18 (/ 1 (pow s 2))) (* 1/3 (/ 1 (* r s)))) r)) (* 1/162 (/ 1 (pow s 3))))))
(* -1 (* (pow r 3) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/3 (/ 1 s)) (/ 1 r)) r)) (* 1/18 (/ 1 (pow s 2)))) r)) (* 1/162 (/ 1 (pow s 3))))))
(* -1/162 (/ (pow r 3) (pow s 3)))
(/ (+ (* -1/162 (pow r 3)) (* 1/18 (* (pow r 2) s))) (pow s 3))
(/ (+ (* -1/162 (pow r 3)) (* s (+ (* -1/3 (* r s)) (* 1/18 (pow r 2))))) (pow s 3))
(/ (+ (* -1/162 (pow r 3)) (* s (+ (* 1/18 (pow r 2)) (* s (+ s (* -1/3 r)))))) (pow s 3))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* s (PI))
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* -1/3 r)
(* 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))
(* s (sqrt (PI)))
(* s (sqrt (PI)))
(* s (sqrt (PI)))
(* s (sqrt (PI)))
(* s (sqrt (PI)))
(* s (sqrt (PI)))
(* s (sqrt (PI)))
(* s (sqrt (PI)))
(* s (sqrt (PI)))
(* s (sqrt (PI)))
(* s (sqrt (PI)))
(* s (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* (* r s) (sqrt (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* r (* s (PI))))
(/ 1/18 (pow s 2))
(+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))
(+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))
(+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))
(* -1/162 (/ r (pow s 3)))
(* r (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(* r (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(* r (- (* 1/18 (/ 1 (* r (pow s 2)))) (* 1/162 (/ 1 (pow s 3)))))
(* -1/162 (/ r (pow s 3)))
(* -1 (* r (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))
(* -1 (* r (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))
(* -1 (* r (- (* 1/162 (/ 1 (pow s 3))) (* 1/18 (/ 1 (* r (pow s 2)))))))
(* -1/162 (/ r (pow s 3)))
(/ (+ (* -1/162 r) (* 1/18 s)) (pow s 3))
(/ (+ (* -1/162 r) (* 1/18 s)) (pow s 3))
(/ (+ (* -1/162 r) (* 1/18 s)) (pow s 3))
(/ 1/18 (pow s 2))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/ 1/18 (pow s 2))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
(/ -1/3 s)
Outputs
(/ 1/4 (* 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 (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)
(/.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)
(/.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)
(/.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 (/ (+ (* -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 (/ (+ (* -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 (/ (+ (* -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 (/ (+ (* -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))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.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))))) 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 (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))))) 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 (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))))) 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 (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))))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(neg.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(neg.f32 (-.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) (/.f32 #s(literal -5/72 binary32) s) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -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 #s(literal 7/324 binary32) (/.f32 (*.f32 r r) (PI.f32))) s)) 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))))
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -1/1296 (/ r (* (pow s 4) (PI)))) (* 1/144 (/ 1 (* (pow s 3) (PI)))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) #s(literal -1/1296 binary32) (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
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(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(* s (sqrt (PI)))
(*.f32 s (sqrt.f32 (PI.f32)))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* (* r s) (sqrt (PI)))
(*.f32 s (*.f32 r (sqrt.f32 (PI.f32))))
(* 2 (* s (PI)))
(*.f32 (PI.f32) (*.f32 s #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 (PI.f32) (*.f32 s #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 (PI.f32) (*.f32 s #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 (PI.f32) (*.f32 s #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 (PI.f32) (*.f32 s #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 (PI.f32) (*.f32 s #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 (PI.f32) (*.f32 s #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 (PI.f32) (*.f32 s #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 (PI.f32) (*.f32 s #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 (PI.f32) (*.f32 s #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 (PI.f32) (*.f32 s #s(literal 2 binary32)))
(* 2 (* s (PI)))
(*.f32 (PI.f32) (*.f32 s #s(literal 2 binary32)))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.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 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.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 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.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 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.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 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.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 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.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 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.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 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.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 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.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 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.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 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.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 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ 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 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32)) (*.f32 s s))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/.f32 (fma.f32 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32)) (*.f32 s s))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/.f32 (fma.f32 (/.f32 r s) #s(literal -1/162 binary32) #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 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32)) (*.f32 s s))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/.f32 (fma.f32 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32)) (*.f32 s s))
(/ (+ 1/18 (* -1/162 (/ r s))) (pow s 2))
(/.f32 (fma.f32 (/.f32 r s) #s(literal -1/162 binary32) #s(literal 1/18 binary32)) (*.f32 s s))
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)
(/ -1/3 s)
(/.f32 #s(literal -1/3 binary32) s)

eval237.0ms (1.5%)

Memory
4.7MiB live, 315.2MiB allocated
Compiler

Compiled 55 116 to 4 835 computations (91.2% saved)

prune333.0ms (2.1%)

Memory
-10.2MiB live, 826.6MiB allocated
Pruning

119 alts after pruning (114 fresh and 5 done)

PrunedKeptTotal
New1 809501 859
Fresh106474
Picked325
Done033
Total1 8221191 941
Accuracy
99.9%
Counts
1 941 → 119
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(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)))))
8.6%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))) #s(literal 1/8 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
9.2%
(fma.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 #s(literal -1/1296 binary32) r) r) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))))
99.7%
(fma.f32 (/.f32 #s(literal -3/4 binary32) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))))
97.7%
(fma.f32 (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) #s(literal -3/4 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))))) (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))))
8.7%
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
7.5%
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
8.4%
(/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))) (*.f32 (*.f32 s (PI.f32)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s (PI.f32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))))
8.6%
(/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) r) r (*.f32 (*.f32 s (PI.f32)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (*.f32 r (*.f32 s (PI.f32))))
8.6%
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (*.f32 r (*.f32 s (PI.f32))) (*.f32 r #s(literal 1/8 binary32))) (*.f32 r (*.f32 r (*.f32 s (PI.f32)))))
8.4%
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32)) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)) (*.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32))) (*.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
62.9%
(/.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(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32)))))
8.4%
(/.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)) #s(literal 1/8 binary32)))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))))
8.6%
(/.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 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (PI.f32))) (pow.f32 s #s(literal 4 binary32)))
9.2%
(/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)))) (*.f32 s (*.f32 s s)))
4.3%
(/.f32 (fma.f32 s (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32))) (*.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (PI.f32)))) (pow.f32 s #s(literal 4 binary32)))
8.6%
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (*.f32 r s))
8.6%
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)
3.7%
(/.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 s #s(literal -1/24 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))
8.6%
(/.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)) #s(literal 1/8 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (*.f32 r (*.f32 s (PI.f32))))
8.6%
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) s) r)
8.1%
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s) r)
8.2%
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) s)
8.2%
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) s) (sqrt.f32 (PI.f32)))
8.2%
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))) r)
8.2%
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r s)) (sqrt.f32 (PI.f32)))
8.2%
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
7.6%
(/.f32 (/.f32 (*.f32 (fma.f32 (*.f32 s (PI.f32)) (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.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 (PI.f32)))) #s(literal 1/8 binary32)) (*.f32 s (*.f32 (PI.f32) (*.f32 s (PI.f32))))) r)
8.4%
(/.f32 (/.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)) (*.f32 s (PI.f32))) #s(literal 1/8 binary32)) (*.f32 s (*.f32 (PI.f32) (*.f32 s (PI.f32))))) r)
8.2%
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
8.2%
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (sqrt.f32 (PI.f32)))
8.2%
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (*.f32 s (sqrt.f32 (PI.f32))))
8.2%
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
8.2%
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
8.2%
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) s))
8.2%
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))
8.2%
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))))))
8.2%
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s))
8.2%
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
8.2%
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
8.7%
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))) s)) s)) (neg.f32 s))
7.1%
(/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
8.7%
(/.f32 (+.f32 (/.f32 (*.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 5/72 binary32) (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
8.8%
(/.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)
8.1%
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
8.6%
(/.f32 (+.f32 r (*.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)) r))
99.7%
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) r)
8.6%
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) #s(literal 1/8 binary32)) r)
4.7%
(/.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
8.6%
(/.f32 (*.f32 #s(literal 1/8 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) s) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))))) r)
8.6%
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) s) (*.f32 s (PI.f32)) (PI.f32)) (*.f32 (PI.f32) (*.f32 s (PI.f32))))) r)
8.6%
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) s) (PI.f32) (*.f32 (PI.f32) (/.f32 #s(literal 1 binary32) s))) (*.f32 (PI.f32) (PI.f32)))) r)
8.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 s (neg.f32 (PI.f32)) (*.f32 (neg.f32 (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (neg.f32 (*.f32 s (PI.f32))) (*.f32 s (PI.f32))))) r)
8.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 (PI.f32) (*.f32 s (PI.f32)))) (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)) (*.f32 s (PI.f32)))))) r)
9.1%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.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 s (PI.f32))))) r)
9.2%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (fma.f32 r (/.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 (PI.f32))))) r)
9.2%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (/.f32 (fma.f32 s (fma.f32 r #s(literal 1/18 binary32) (*.f32 s #s(literal -1/3 binary32))) (*.f32 r (*.f32 r #s(literal -1/162 binary32)))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
9.2%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (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 s (PI.f32))))) r)
7.3%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (*.f32 r #s(literal -1/162 binary32)) (*.f32 r (*.f32 s #s(literal 1/18 binary32)))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
5.7%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (*.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))))) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
99.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32)) (*.f32 s (PI.f32))))) r)
98.2%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 (*.f32 r #s(literal -1/3 binary32))) (/.f32 #s(literal 1 binary32) s)) (*.f32 s (PI.f32))))) r)
99.7%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (PI.f32))))) r)
8.6%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) r)
8.6%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))) r)
99.7%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 #s(literal -3 binary32) r)))) (*.f32 s (PI.f32))))) r)
99.7%
(/.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 #s(literal -1/3 binary32) s) r)) (*.f32 s (PI.f32))))) r)
99.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (PI.f32))))) r)
8.6%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) r)
99.7%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 r s))
8.2%
(/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (PI.f32) (*.f32 s (PI.f32))))))) r)
8.4%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)) #s(literal 1/8 binary32))))))
8.2%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32))))))
8.2%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
8.2%
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))))
8.2%
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
8.2%
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))
8.6%
(/.f32 #s(literal 1 binary32) (/.f32 r (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) #s(literal 1/8 binary32))))
7.6%
(/.f32 #s(literal 1 binary32) (/.f32 r (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.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)))))))
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) s) (sqrt.f32 (PI.f32))))
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) r) (sqrt.f32 (PI.f32))))
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s))
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) (*.f32 s (sqrt.f32 (PI.f32)))))
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) s))
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
8.2%
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
7.4%
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
8.0%
(-.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)))))
6.6%
(+.f32 (/.f32 (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)) (/.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))
6.6%
(+.f32 (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s) (/.f32 (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))
6.6%
(+.f32 (/.f32 (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32)) (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 r r))) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) 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))
8.6%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) s) (PI.f32)))
8.6%
(+.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 1/8 binary32) (*.f32 r s)) (PI.f32)))
8.6%
(+.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 1/8 binary32) s) (*.f32 r (PI.f32))))
8.6%
(+.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 1/8 binary32) r) (*.f32 s (PI.f32))))
9.2%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 (/.f32 #s(literal -1/24 binary32) s) (PI.f32)))) s))
8.6%
(+.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 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/8 binary32) r))))
8.6%
(+.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 #s(literal 1/8 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (*.f32 r (sqrt.f32 (PI.f32))))))
8.6%
(+.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 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))))
8.6%
(+.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 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
8.6%
(+.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 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
8.6%
(+.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 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
99.7%
(+.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))) (/.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) #s(literal -3/4 binary32)) r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))
8.3%
(*.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)) #s(literal 1/8 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))))))
8.2%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))))
8.2%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))))
8.2%
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))
8.2%
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
8.2%
(*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) r))
8.2%
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))))
8.2%
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
99.7%
(*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) r))
7.6%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.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) r))
99.7%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (/.f32 #s(literal 1/8 binary32) r))
8.6%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) r))
2.2%
(*.f32 r (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))))
Compiler

Compiled 6 683 to 2 577 computations (61.4% saved)

regimes131.0ms (0.8%)

Memory
2.8MiB live, 271.2MiB allocated
Counts
157 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
(/.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) r) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) s) (sqrt.f32 (PI.f32))))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (*.f32 s (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (sqrt.f32 (PI.f32)))
(/.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 s #s(literal -1/24 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r s)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))) r)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) s) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) s)
(*.f32 r (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))))
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s) r)
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) r))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32))))))
(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (+.f32 (/.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)
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 (*.f32 r #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)
(/.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)
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/9 binary32) (/.f32 #s(literal 2 binary32) (PI.f32)))) s)) r)
(/.f32 (+.f32 (/.f32 (*.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 5/72 binary32) (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 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 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s)
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))) s)) s)) (neg.f32 s))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) r))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) #s(literal 1/8 binary32)) r)
(/.f32 (fma.f32 s (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32))) (*.f32 #s(literal -1/1296 binary32) (*.f32 r (/.f32 r (PI.f32))))) (pow.f32 s #s(literal 4 binary32)))
(/.f32 (fma.f32 s (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32))) (*.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (PI.f32)))) (pow.f32 s #s(literal 4 binary32)))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (*.f32 r s))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))) #s(literal 1/8 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) s) r)
(/.f32 #s(literal 1 binary32) (/.f32 r (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) #s(literal 1/8 binary32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.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)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))) r)
(/.f32 (/.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)) (*.f32 s (PI.f32))) #s(literal 1/8 binary32)) (*.f32 s (*.f32 (PI.f32) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) s) (*.f32 s (PI.f32)) (PI.f32)) (*.f32 (PI.f32) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) s) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) 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)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 r (PI.f32))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (PI.f32)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (PI.f32) (*.f32 s (PI.f32))))))) r)
(+.f32 (/.f32 (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)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 s (neg.f32 (PI.f32)) (*.f32 (neg.f32 (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (neg.f32 (*.f32 s (PI.f32))) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s (PI.f32)) (*.f32 (PI.f32) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (PI.f32) (*.f32 s (PI.f32))))) r)
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(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)))))
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(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 #s(literal -3 binary32) r)))) (*.f32 s (PI.f32))))) r)
(fma.f32 (/.f32 #s(literal -3/4 binary32) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 3/4 binary32) r) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))) (/.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) #s(literal -3/4 binary32)) r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(fma.f32 (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) #s(literal -3/4 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32))))) (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))))
(fma.f32 (/.f32 #s(literal -3/4 binary32) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (PI.f32)) (exp.f32 (/.f32 r s)))) r))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) #s(literal -3/4 binary32)) r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))
(/.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(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (*.f32 r 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 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32)) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (cbrt.f32 (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (pow.f32 (exp.f32 (*.f32 r #s(literal -1/3 binary32))) (/.f32 #s(literal 1 binary32) s)) (*.f32 s (PI.f32))))) r)
Outputs
(+.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))) (/.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) #s(literal -3/4 binary32)) r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))
Calls

3 calls:

44.0ms
s
43.0ms
r
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)))
Results
AccuracySegmentsBranch
99.7%1s
99.7%1r
99.7%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes172.0ms (1.1%)

Memory
29.3MiB live, 238.4MiB allocated
Counts
145 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
(/.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) r) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) s) (sqrt.f32 (PI.f32))))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (*.f32 s (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (sqrt.f32 (PI.f32)))
(/.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 s #s(literal -1/24 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r s)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))) r)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) s) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) s)
(*.f32 r (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))))
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s) r)
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) r))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32))))))
(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (+.f32 (/.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)
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 (*.f32 r #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)
(/.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)
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/9 binary32) (/.f32 #s(literal 2 binary32) (PI.f32)))) s)) r)
(/.f32 (+.f32 (/.f32 (*.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 5/72 binary32) (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 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 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s)
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))) s)) s)) (neg.f32 s))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) r))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) #s(literal 1/8 binary32)) r)
(/.f32 (fma.f32 s (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32))) (*.f32 #s(literal -1/1296 binary32) (*.f32 r (/.f32 r (PI.f32))))) (pow.f32 s #s(literal 4 binary32)))
(/.f32 (fma.f32 s (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32))) (*.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (PI.f32)))) (pow.f32 s #s(literal 4 binary32)))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (*.f32 r s))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))) #s(literal 1/8 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) s) r)
(/.f32 #s(literal 1 binary32) (/.f32 r (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) #s(literal 1/8 binary32))))
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(fma.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 #s(literal -1/1296 binary32) r) r) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 (/.f32 #s(literal -1/24 binary32) s) (PI.f32)))) s))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1 binary32) s)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))) r)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (/.f32 #s(literal 1/8 binary32) r))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) r)
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 r s))
(*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) s))
(*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) 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 #s(literal -1/3 binary32) s) r)) (*.f32 s (PI.f32))))) 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)
(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 (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)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 #s(literal -3 binary32) r)))) (*.f32 s (PI.f32))))) r)
(fma.f32 (/.f32 #s(literal -3/4 binary32) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 3/4 binary32) r) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
Outputs
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 #s(literal -3 binary32) r)))) (*.f32 s (PI.f32))))) r)
Calls

3 calls:

77.0ms
r
59.0ms
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
99.7%1s
99.7%1r
99.7%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes117.0ms (0.8%)

Memory
3.1MiB live, 190.5MiB allocated
Counts
142 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
(/.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) r) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) s) (sqrt.f32 (PI.f32))))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (*.f32 s (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (sqrt.f32 (PI.f32)))
(/.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 s #s(literal -1/24 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r s)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))) r)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) s) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) s)
(*.f32 r (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))))
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s) r)
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) r))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32))))))
(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (+.f32 (/.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)
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 (*.f32 r #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)
(/.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)
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/9 binary32) (/.f32 #s(literal 2 binary32) (PI.f32)))) s)) r)
(/.f32 (+.f32 (/.f32 (*.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 5/72 binary32) (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 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 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s)
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))) s)) s)) (neg.f32 s))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) r))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) #s(literal 1/8 binary32)) r)
(/.f32 (fma.f32 s (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32))) (*.f32 #s(literal -1/1296 binary32) (*.f32 r (/.f32 r (PI.f32))))) (pow.f32 s #s(literal 4 binary32)))
(/.f32 (fma.f32 s (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32))) (*.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (PI.f32)))) (pow.f32 s #s(literal 4 binary32)))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (*.f32 r s))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))) #s(literal 1/8 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) s) r)
(/.f32 #s(literal 1 binary32) (/.f32 r (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) #s(literal 1/8 binary32))))
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(fma.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 #s(literal -1/1296 binary32) r) r) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 (/.f32 #s(literal -1/24 binary32) s) (PI.f32)))) s))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1 binary32) s)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))) r)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (/.f32 #s(literal 1/8 binary32) r))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) r)
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 r s))
(*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) s))
(*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) 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 #s(literal -1/3 binary32) s) r)) (*.f32 s (PI.f32))))) 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)
(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 (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)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))))
Outputs
(/.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 #s(literal -1/3 binary32) s) r)) (*.f32 s (PI.f32))))) r)
Calls

3 calls:

40.0ms
s
39.0ms
r
31.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
99.7%1s
99.7%1r
99.7%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes123.0ms (0.8%)

Memory
4.5MiB live, 241.6MiB allocated
Counts
137 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
(/.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) r) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) s) (sqrt.f32 (PI.f32))))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (*.f32 s (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (sqrt.f32 (PI.f32)))
(/.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 s #s(literal -1/24 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r s)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))) r)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) s) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) s)
(*.f32 r (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))))
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s) r)
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) r))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32))))))
(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (+.f32 (/.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)
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 (*.f32 r #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)
(/.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)
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/9 binary32) (/.f32 #s(literal 2 binary32) (PI.f32)))) s)) r)
(/.f32 (+.f32 (/.f32 (*.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 5/72 binary32) (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 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 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s)
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))) s)) s)) (neg.f32 s))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) r))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) #s(literal 1/8 binary32)) r)
(/.f32 (fma.f32 s (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32))) (*.f32 #s(literal -1/1296 binary32) (*.f32 r (/.f32 r (PI.f32))))) (pow.f32 s #s(literal 4 binary32)))
(/.f32 (fma.f32 s (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32))) (*.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (PI.f32)))) (pow.f32 s #s(literal 4 binary32)))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (*.f32 r s))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))) #s(literal 1/8 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) s) r)
(/.f32 #s(literal 1 binary32) (/.f32 r (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) #s(literal 1/8 binary32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.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)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))) r)
(/.f32 (/.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)) (*.f32 s (PI.f32))) #s(literal 1/8 binary32)) (*.f32 s (*.f32 (PI.f32) (*.f32 s (PI.f32))))) r)
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(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1 binary32) s)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))) r)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (/.f32 #s(literal 1/8 binary32) r))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) r)
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 r s))
(*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) s))
(*.f32 (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) r))
Outputs
(*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) s))
Calls

3 calls:

41.0ms
s
40.0ms
r
37.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
99.7%1s
99.7%1r
99.7%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes150.0ms (1%)

Memory
-6.5MiB live, 198.5MiB allocated
Counts
135 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
(/.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) r) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) s) (sqrt.f32 (PI.f32))))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (*.f32 s (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (sqrt.f32 (PI.f32)))
(/.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 s #s(literal -1/24 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r s)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))) r)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) s) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) s)
(*.f32 r (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))))
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s) r)
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) r))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32))))))
(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (+.f32 (/.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)
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 (*.f32 r #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)
(/.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)
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/9 binary32) (/.f32 #s(literal 2 binary32) (PI.f32)))) s)) r)
(/.f32 (+.f32 (/.f32 (*.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 5/72 binary32) (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 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 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s)
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))) s)) s)) (neg.f32 s))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) r))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) #s(literal 1/8 binary32)) r)
(/.f32 (fma.f32 s (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32))) (*.f32 #s(literal -1/1296 binary32) (*.f32 r (/.f32 r (PI.f32))))) (pow.f32 s #s(literal 4 binary32)))
(/.f32 (fma.f32 s (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32))) (*.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (PI.f32)))) (pow.f32 s #s(literal 4 binary32)))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (*.f32 r s))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))) #s(literal 1/8 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) s) r)
(/.f32 #s(literal 1 binary32) (/.f32 r (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) #s(literal 1/8 binary32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.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)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))) r)
(/.f32 (/.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)) (*.f32 s (PI.f32))) #s(literal 1/8 binary32)) (*.f32 s (*.f32 (PI.f32) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) s) (*.f32 s (PI.f32)) (PI.f32)) (*.f32 (PI.f32) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) s) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) 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)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 r (PI.f32))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (PI.f32)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (PI.f32) (*.f32 s (PI.f32))))))) r)
(+.f32 (/.f32 (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)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 s (neg.f32 (PI.f32)) (*.f32 (neg.f32 (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (neg.f32 (*.f32 s (PI.f32))) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s (PI.f32)) (*.f32 (PI.f32) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (PI.f32) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) s) (PI.f32) (*.f32 (PI.f32) (/.f32 #s(literal 1 binary32) s))) (*.f32 (PI.f32) (PI.f32)))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) s) (PI.f32)))
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (*.f32 r (*.f32 s (PI.f32))) (*.f32 r #s(literal 1/8 binary32))) (*.f32 r (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 (PI.f32) (*.f32 s (PI.f32)))) (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)) (*.f32 s (PI.f32)))))) r)
(/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) r) r (*.f32 (*.f32 s (PI.f32)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (*.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)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/8 binary32) r))))
(/.f32 (+.f32 r (*.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))) (sqrt.f32 (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)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (*.f32 r (sqrt.f32 (PI.f32))))))
(+.f32 (/.f32 (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32)) (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 r r))) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (fma.f32 s (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 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (PI.f32))) (pow.f32 s #s(literal 4 binary32)))
(+.f32 (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)) #s(literal 1/8 binary32)))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))) (*.f32 (*.f32 s (PI.f32)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s (PI.f32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (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 s (PI.f32))))) r)
(*.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)) #s(literal 1/8 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) r)
(/.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)) #s(literal 1/8 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal -1/18 binary32)) s)) s)) (*.f32 s (PI.f32))))) r)
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32)) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)) (*.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32))) (*.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)) #s(literal 1/8 binary32))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.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 s (PI.f32))))) 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)
(+.f32 (/.f32 (*.f32 #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 r (*.f32 s (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
(/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)))) (*.f32 s (*.f32 s s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (*.f32 r #s(literal -1/162 binary32)) (*.f32 r (*.f32 s #s(literal 1/18 binary32)))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (/.f32 (fma.f32 s (fma.f32 r #s(literal 1/18 binary32) (*.f32 s #s(literal -1/3 binary32))) (*.f32 r (*.f32 r #s(literal -1/162 binary32)))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.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) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (fma.f32 r (/.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 (PI.f32))))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.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 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (*.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))))) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 #s(literal 1 binary32) (/.f32 r (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.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) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (/.f32 (*.f32 r (*.f32 r r)) s) #s(literal -1/162 binary32))) s)) s)) (*.f32 s (PI.f32))))) r)
(/.f32 (/.f32 (*.f32 (fma.f32 (*.f32 s (PI.f32)) (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.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 (PI.f32)))) #s(literal 1/8 binary32)) (*.f32 s (*.f32 (PI.f32) (*.f32 s (PI.f32))))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (*.f32 r (fma.f32 #s(literal -1/1296 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 #s(literal -1/1296 binary32) r) r) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (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)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (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)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 #s(literal -1/1296 binary32) r) r) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 (/.f32 #s(literal -1/24 binary32) s) (PI.f32)))) s))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1 binary32) s)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))) r)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (/.f32 #s(literal 1/8 binary32) r))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) r)
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 r s))
Outputs
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 r s))
Calls

3 calls:

68.0ms
s
45.0ms
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
99.7%1s
99.7%1r
99.7%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes131.0ms (0.8%)

Memory
4.8MiB live, 201.5MiB allocated
Counts
134 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
(/.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) r) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) s) (sqrt.f32 (PI.f32))))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (*.f32 s (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (sqrt.f32 (PI.f32)))
(/.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 s #s(literal -1/24 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r s)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))) r)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) s) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) s)
(*.f32 r (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))))
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s) r)
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) r))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32))))))
(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (+.f32 (/.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)
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 (*.f32 r #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)
(/.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)
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/9 binary32) (/.f32 #s(literal 2 binary32) (PI.f32)))) s)) r)
(/.f32 (+.f32 (/.f32 (*.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 5/72 binary32) (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 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 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s)
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))) s)) s)) (neg.f32 s))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) r))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) #s(literal 1/8 binary32)) r)
(/.f32 (fma.f32 s (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32))) (*.f32 #s(literal -1/1296 binary32) (*.f32 r (/.f32 r (PI.f32))))) (pow.f32 s #s(literal 4 binary32)))
(/.f32 (fma.f32 s (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32))) (*.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (PI.f32)))) (pow.f32 s #s(literal 4 binary32)))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (*.f32 r s))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))) #s(literal 1/8 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) s) r)
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(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))) r)
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(+.f32 (/.f32 (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32)) (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 r r))) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (fma.f32 s (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 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (PI.f32))) (pow.f32 s #s(literal 4 binary32)))
(+.f32 (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)) #s(literal 1/8 binary32)))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))) (*.f32 (*.f32 s (PI.f32)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s (PI.f32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (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 s (PI.f32))))) r)
(*.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)) #s(literal 1/8 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) r)
(/.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)) #s(literal 1/8 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal -1/18 binary32)) s)) s)) (*.f32 s (PI.f32))))) r)
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32)) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)) (*.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32))) (*.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)) #s(literal 1/8 binary32))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.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 s (PI.f32))))) 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)
(+.f32 (/.f32 (*.f32 #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 r (*.f32 s (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
(/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)))) (*.f32 s (*.f32 s s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (*.f32 r #s(literal -1/162 binary32)) (*.f32 r (*.f32 s #s(literal 1/18 binary32)))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (/.f32 (fma.f32 s (fma.f32 r #s(literal 1/18 binary32) (*.f32 s #s(literal -1/3 binary32))) (*.f32 r (*.f32 r #s(literal -1/162 binary32)))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.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) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (fma.f32 r (/.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 (PI.f32))))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.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 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (*.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))))) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 #s(literal 1 binary32) (/.f32 r (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.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) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (/.f32 (*.f32 r (*.f32 r r)) s) #s(literal -1/162 binary32))) s)) s)) (*.f32 s (PI.f32))))) r)
(/.f32 (/.f32 (*.f32 (fma.f32 (*.f32 s (PI.f32)) (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.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 (PI.f32)))) #s(literal 1/8 binary32)) (*.f32 s (*.f32 (PI.f32) (*.f32 s (PI.f32))))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (*.f32 r (fma.f32 #s(literal -1/1296 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 #s(literal -1/1296 binary32) r) r) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (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)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (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)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 #s(literal -1/1296 binary32) r) r) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 (/.f32 #s(literal -1/24 binary32) s) (PI.f32)))) s))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1 binary32) s)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))) r)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (/.f32 #s(literal 1/8 binary32) r))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) r)
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (+.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r)))
Outputs
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) r)
Calls

3 calls:

47.0ms
(+.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)))
40.0ms
r
38.0ms
s
Results
AccuracySegmentsBranch
99.7%1s
99.7%1r
99.7%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes382.0ms (2.4%)

Memory
-184.6MiB live, 179.2MiB allocated
Counts
132 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
(/.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) r) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) s) (sqrt.f32 (PI.f32))))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))
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(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32)) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)) (*.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32))) (*.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)) #s(literal 1/8 binary32))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.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 s (PI.f32))))) 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)
(+.f32 (/.f32 (*.f32 #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 r (*.f32 s (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
(/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)))) (*.f32 s (*.f32 s s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (*.f32 r #s(literal -1/162 binary32)) (*.f32 r (*.f32 s #s(literal 1/18 binary32)))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (/.f32 (fma.f32 s (fma.f32 r #s(literal 1/18 binary32) (*.f32 s #s(literal -1/3 binary32))) (*.f32 r (*.f32 r #s(literal -1/162 binary32)))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.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) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (fma.f32 r (/.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 (PI.f32))))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.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 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (*.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))))) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 #s(literal 1 binary32) (/.f32 r (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.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) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (/.f32 (*.f32 r (*.f32 r r)) s) #s(literal -1/162 binary32))) s)) s)) (*.f32 s (PI.f32))))) r)
(/.f32 (/.f32 (*.f32 (fma.f32 (*.f32 s (PI.f32)) (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.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 (PI.f32)))) #s(literal 1/8 binary32)) (*.f32 s (*.f32 (PI.f32) (*.f32 s (PI.f32))))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (*.f32 r (fma.f32 #s(literal -1/1296 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 #s(literal -1/1296 binary32) r) r) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (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)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (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)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 #s(literal -1/1296 binary32) r) r) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 (/.f32 #s(literal -1/24 binary32) s) (PI.f32)))) s))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1 binary32) s)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))) r)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (/.f32 #s(literal 1/8 binary32) r))
Outputs
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (/.f32 #s(literal 1/8 binary32) r))
Calls

3 calls:

311.0ms
s
35.0ms
r
31.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
99.7%1s
99.7%1r
99.7%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes132.0ms (0.8%)

Memory
19.3MiB live, 222.0MiB allocated
Counts
131 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
(/.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) r) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) s) (sqrt.f32 (PI.f32))))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (*.f32 s (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (sqrt.f32 (PI.f32)))
(/.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 s #s(literal -1/24 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r s)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))) r)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) s) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) s)
(*.f32 r (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))))
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s) r)
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) r))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32))))))
(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (+.f32 (/.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)
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
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(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.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 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (*.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))))) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 #s(literal 1 binary32) (/.f32 r (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.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) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (/.f32 (*.f32 r (*.f32 r r)) s) #s(literal -1/162 binary32))) s)) s)) (*.f32 s (PI.f32))))) r)
(/.f32 (/.f32 (*.f32 (fma.f32 (*.f32 s (PI.f32)) (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.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 (PI.f32)))) #s(literal 1/8 binary32)) (*.f32 s (*.f32 (PI.f32) (*.f32 s (PI.f32))))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (*.f32 r (fma.f32 #s(literal -1/1296 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 1/144 binary32) (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 #s(literal -1/1296 binary32) r) r) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (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)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (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)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -1/1296 binary32) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))))) s))
(fma.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (PI.f32)) (/.f32 (*.f32 (*.f32 #s(literal -1/1296 binary32) r) r) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r (neg.f32 s)))) (*.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) (/.f32 (*.f32 r #s(literal 1/144 binary32)) (PI.f32))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 (/.f32 #s(literal -1/24 binary32) s) (PI.f32)))) s))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (pow.f32 (exp.f32 r) (/.f32 #s(literal -1 binary32) s)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))) 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 (/.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:

55.0ms
r
44.0ms
s
28.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
9.3%1s
9.3%1r
9.3%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes95.0ms (0.6%)

Memory
-0.7MiB live, 229.8MiB allocated
Counts
117 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
(/.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) r) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) s) (sqrt.f32 (PI.f32))))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (*.f32 s (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (sqrt.f32 (PI.f32)))
(/.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 s #s(literal -1/24 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r s)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))) r)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) s) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) s)
(*.f32 r (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))))
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s) r)
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) r))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32))))))
(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (+.f32 (/.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)
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 (*.f32 r #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)
(/.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)
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/9 binary32) (/.f32 #s(literal 2 binary32) (PI.f32)))) s)) r)
(/.f32 (+.f32 (/.f32 (*.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 5/72 binary32) (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 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 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s)
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))) s)) s)) (neg.f32 s))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) r))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) #s(literal 1/8 binary32)) r)
(/.f32 (fma.f32 s (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32))) (*.f32 #s(literal -1/1296 binary32) (*.f32 r (/.f32 r (PI.f32))))) (pow.f32 s #s(literal 4 binary32)))
(/.f32 (fma.f32 s (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32))) (*.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (PI.f32)))) (pow.f32 s #s(literal 4 binary32)))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (*.f32 r s))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))) #s(literal 1/8 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) s) r)
(/.f32 #s(literal 1 binary32) (/.f32 r (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) #s(literal 1/8 binary32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.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)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))) r)
(/.f32 (/.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)) (*.f32 s (PI.f32))) #s(literal 1/8 binary32)) (*.f32 s (*.f32 (PI.f32) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) s) (*.f32 s (PI.f32)) (PI.f32)) (*.f32 (PI.f32) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) s) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) 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)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 r (PI.f32))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (PI.f32)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (PI.f32) (*.f32 s (PI.f32))))))) r)
(+.f32 (/.f32 (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)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 s (neg.f32 (PI.f32)) (*.f32 (neg.f32 (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (neg.f32 (*.f32 s (PI.f32))) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s (PI.f32)) (*.f32 (PI.f32) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (PI.f32) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) s) (PI.f32) (*.f32 (PI.f32) (/.f32 #s(literal 1 binary32) s))) (*.f32 (PI.f32) (PI.f32)))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) s) (PI.f32)))
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (*.f32 r (*.f32 s (PI.f32))) (*.f32 r #s(literal 1/8 binary32))) (*.f32 r (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 (PI.f32) (*.f32 s (PI.f32)))) (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)) (*.f32 s (PI.f32)))))) r)
(/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) r) r (*.f32 (*.f32 s (PI.f32)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (*.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)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/8 binary32) r))))
(/.f32 (+.f32 r (*.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))) (sqrt.f32 (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)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (*.f32 r (sqrt.f32 (PI.f32))))))
(+.f32 (/.f32 (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32)) (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 r r))) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (fma.f32 s (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 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (PI.f32))) (pow.f32 s #s(literal 4 binary32)))
(+.f32 (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)) #s(literal 1/8 binary32)))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))) (*.f32 (*.f32 s (PI.f32)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s (PI.f32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (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 s (PI.f32))))) r)
(*.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)) #s(literal 1/8 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) r)
(/.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)) #s(literal 1/8 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (*.f32 (*.f32 r r) #s(literal -1/18 binary32)) s)) s)) (*.f32 s (PI.f32))))) r)
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32)) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)) (*.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32))) (*.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)) #s(literal 1/8 binary32))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.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 s (PI.f32))))) 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)
(+.f32 (/.f32 (*.f32 #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 r (*.f32 s (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
(/.f32 (fma.f32 s (fma.f32 s (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)))) (*.f32 s (*.f32 s s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (*.f32 r #s(literal -1/162 binary32)) (*.f32 r (*.f32 s #s(literal 1/18 binary32)))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (/.f32 (fma.f32 s (fma.f32 r #s(literal 1/18 binary32) (*.f32 s #s(literal -1/3 binary32))) (*.f32 r (*.f32 r #s(literal -1/162 binary32)))) (*.f32 s (*.f32 s s))) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (fma.f32 r (fma.f32 r (fma.f32 r (/.f32 #s(literal -1/162 binary32) (*.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) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (fma.f32 r (/.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 (PI.f32))))) r)
Outputs
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
Calls

3 calls:

32.0ms
s
32.0ms
r
27.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
9.2%1r
9.2%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)))
9.2%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes144.0ms (0.9%)

Memory
21.9MiB live, 214.5MiB allocated
Counts
105 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
(/.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) (*.f32 s (sqrt.f32 (PI.f32)))))
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(/.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)) #s(literal 1/8 binary32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (*.f32 r (*.f32 s (PI.f32))))
Outputs
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (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 s (PI.f32))))) r)
Calls

3 calls:

58.0ms
r
56.0ms
s
26.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
9.2%1s
9.2%1r
9.2%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)

regimes86.0ms (0.6%)

Memory
-31.3MiB live, 176.7MiB allocated
Counts
101 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
(/.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) r) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) s) (sqrt.f32 (PI.f32))))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (*.f32 s (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (sqrt.f32 (PI.f32)))
(/.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 s #s(literal -1/24 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r s)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))) r)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) s) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) s)
(*.f32 r (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))))
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s) r)
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) r))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32))))))
(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (+.f32 (/.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)
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 (*.f32 r #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)
(/.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)
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32) (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/9 binary32) (/.f32 #s(literal 2 binary32) (PI.f32)))) s)) r)
(/.f32 (+.f32 (/.f32 (*.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal 5/72 binary32) (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (/.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (*.f32 s (PI.f32)))) (*.f32 s s)) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 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 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 5/72 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))))) s)
(/.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (PI.f32))) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32))) s)) s)) (neg.f32 s))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) (/.f32 #s(literal 1/8 binary32) r))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) #s(literal 1/8 binary32)) r)
(/.f32 (fma.f32 s (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32))) (*.f32 #s(literal -1/1296 binary32) (*.f32 r (/.f32 r (PI.f32))))) (pow.f32 s #s(literal 4 binary32)))
(/.f32 (fma.f32 s (*.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32))) (*.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (PI.f32)))) (pow.f32 s #s(literal 4 binary32)))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (*.f32 r s))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32)))) #s(literal 1/8 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s)
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) s) r)
(/.f32 #s(literal 1 binary32) (/.f32 r (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1 binary32))) #s(literal 1/8 binary32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.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)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) s) (PI.f32)))) r)
(/.f32 (/.f32 (*.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)) (*.f32 s (PI.f32))) #s(literal 1/8 binary32)) (*.f32 s (*.f32 (PI.f32) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) s) (*.f32 s (PI.f32)) (PI.f32)) (*.f32 (PI.f32) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) s) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) 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)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 r (PI.f32))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (PI.f32)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (PI.f32) (*.f32 s (PI.f32))))))) r)
(+.f32 (/.f32 (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)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 s (neg.f32 (PI.f32)) (*.f32 (neg.f32 (*.f32 s (PI.f32))) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (neg.f32 (*.f32 s (PI.f32))) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s (PI.f32)) (*.f32 (PI.f32) (exp.f32 (/.f32 r (neg.f32 s))))) (*.f32 (PI.f32) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) s) (PI.f32) (*.f32 (PI.f32) (/.f32 #s(literal 1 binary32) s))) (*.f32 (PI.f32) (PI.f32)))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) s) (PI.f32)))
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (*.f32 r (*.f32 s (PI.f32))) (*.f32 r #s(literal 1/8 binary32))) (*.f32 r (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 (PI.f32) (*.f32 s (PI.f32)))) (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32)) (*.f32 s (PI.f32)))))) r)
(/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) r) r (*.f32 (*.f32 s (PI.f32)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (*.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)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/8 binary32) r))))
(/.f32 (+.f32 r (*.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (*.f32 (*.f32 (*.f32 r (*.f32 s (PI.f32))) #s(literal 8 binary32)) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) r)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))) (sqrt.f32 (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)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (*.f32 r (sqrt.f32 (PI.f32))))))
(+.f32 (/.f32 (+.f32 (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 1/4 binary32)) (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 r r))) (*.f32 s (*.f32 s s))))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (fma.f32 s (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 #s(literal 5/72 binary32) (/.f32 r (PI.f32)))) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r r)) (PI.f32))) (pow.f32 s #s(literal 4 binary32)))
(+.f32 (/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (fma.f32 #s(literal -1/48 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (PI.f32))))) s) (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/24 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r))
(/.f32 (fma.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (*.f32 r (*.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)) #s(literal 1/8 binary32)))) (*.f32 (*.f32 r (*.f32 s (PI.f32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32))) (*.f32 (*.f32 s (PI.f32)) (*.f32 (exp.f32 (/.f32 r (neg.f32 s))) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s (PI.f32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))))
Outputs
(/.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)
Calls

3 calls:

29.0ms
s
27.0ms
(+.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)))
26.0ms
r
Results
AccuracySegmentsBranch
8.8%1s
8.8%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
8.8%1r
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes67.0ms (0.4%)

Memory
16.1MiB live, 91.6MiB allocated
Counts
50 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
(/.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) r) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) s) (sqrt.f32 (PI.f32))))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (*.f32 s (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (sqrt.f32 (PI.f32)))
(/.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 s #s(literal -1/24 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r s)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))) r)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) s) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) s)
(*.f32 r (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))))
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s) r)
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) r))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32))))))
(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
Outputs
(+.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:

38.0ms
(+.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)))
14.0ms
r
13.0ms
s
Results
AccuracySegmentsBranch
8.7%1r
8.7%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
8.7%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes43.0ms (0.3%)

Memory
-15.8MiB live, 104.4MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
(/.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) r) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) s) (sqrt.f32 (PI.f32))))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (*.f32 s (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (sqrt.f32 (PI.f32)))
(/.f32 (fma.f32 #s(literal 1/144 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 s #s(literal -1/24 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r s)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))) r)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) s) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) s)
(*.f32 r (+.f32 (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 r (*.f32 s (*.f32 s (PI.f32)))))))
(/.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 r (*.f32 s (PI.f32))) #s(literal -4/3 binary32)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s) r)
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) r))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) s))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (sqrt.f32 (PI.f32))))))
Outputs
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) s))
Calls

3 calls:

15.0ms
s
14.0ms
r
11.0ms
(+.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)

regimes25.0ms (0.2%)

Memory
25.7MiB live, 63.8MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
(/.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) r) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) s) (sqrt.f32 (PI.f32))))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))
Outputs
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))
Calls

3 calls:

9.0ms
r
8.0ms
s
6.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
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%1r
8.2%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes26.0ms (0.2%)

Memory
-23.8MiB live, 55.3MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
(/.f32 (*.f32 r #s(literal 1/144 binary32)) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))
(*.f32 (/.f32 #s(literal 1/4 binary32) r) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) (*.f32 s (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) r) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) r) s) (sqrt.f32 (PI.f32))))
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 r (*.f32 s (sqrt.f32 (PI.f32)))))
Outputs
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
Calls

3 calls:

11.0ms
s
8.0ms
r
6.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
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)

regimes9.0ms (0.1%)

Memory
26.8MiB live, 26.8MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
Outputs
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
Calls

3 calls:

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

regimes5.0ms (0%)

Memory
-28.3MiB live, 10.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
Outputs
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
Calls

3 calls:

2.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
1.0ms
r
1.0ms
s
Results
AccuracySegmentsBranch
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%1r
8.2%1s
Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify15.0ms (0.1%)

Memory
0.1MiB live, 38.9MiB allocated
Algorithm
egg-herbie
Rules
68×*-commutative_binary32
30×+-commutative_binary32
neg-sub0_binary32
neg-mul-1_binary32
sub-neg_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128355
1182355
2188355
3192355
4193355
Stop Event
saturated
Calls
Call 1
Inputs
(+.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))) (/.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) #s(literal -3/4 binary32)) r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 #s(literal -3 binary32) r)))) (*.f32 s (PI.f32))))) 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 #s(literal -1/3 binary32) s) r)) (*.f32 s (PI.f32))))) r)
(*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) s))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 r s))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) r)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (/.f32 #s(literal 1/8 binary32) r))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.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 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (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 s (PI.f32))))) 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)
(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
Outputs
(+.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 r (*.f32 s (PI.f32))))) (/.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) #s(literal -3/4 binary32)) r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))
(+.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (*.f32 s (PI.f32))))) (/.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) #s(literal -3/4 binary32)) r) (*.f32 s (*.f32 (PI.f32) #s(literal -6 binary32)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (/.f32 #s(literal -3 binary32) r)))) (*.f32 s (PI.f32))))) 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 #s(literal 1 binary32) (*.f32 s (/.f32 #s(literal -3 binary32) r)))) (*.f32 s (PI.f32))))) 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 #s(literal -1/3 binary32) s) r)) (*.f32 s (PI.f32))))) 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 r (/.f32 #s(literal -1/3 binary32) s))) (*.f32 s (PI.f32))))) r)
(*.f32 (+.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)))) (/.f32 #s(literal 1/8 binary32) s))
(*.f32 (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (*.f32 r (PI.f32)))) (/.f32 #s(literal 1/8 binary32) s))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (PI.f32)))) (*.f32 r s))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (PI.f32)) (/.f32 (exp.f32 (*.f32 #s(literal -1/3 binary32) (/.f32 r s))) (PI.f32)))) (*.f32 r s))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) r)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (/.f32 r (neg.f32 s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (/.f32 #s(literal 1/8 binary32) r))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (+.f32 (exp.f32 (neg.f32 (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (/.f32 #s(literal 1/8 binary32) r))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.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 (exp.f32 (neg.f32 (/.f32 r s))) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.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 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 r (neg.f32 s))) (*.f32 s (PI.f32))) (/.f32 (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 s (PI.f32))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (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 s (PI.f32))))) 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)
(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) s))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 s (*.f32 r (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (sqrt.f32 (PI.f32))) (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))

soundness1.7s (11.2%)

Memory
13.5MiB live, 1 538.6MiB allocated
Rules
16 112×accelerator-lowering-fma.f32
16 112×accelerator-lowering-fma.f64
14 624×accelerator-lowering-fma.f32
14 624×accelerator-lowering-fma.f64
9 048×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02421900
17561845
221131788
359491788
082201755
062323
1376317
24013317
08548303
07526535
122736418
264956359
082036169
08438638
125668351
274328292
080948056
05526181
116646061
246195979
082465811
02590
112479
2129571
0944671
061290
1367278
24589278
08108272
070408
1437396
25542393
08043380
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 702 to 376 computations (46.4% saved)

preprocess148.0ms (0.9%)

Memory
-1.9MiB live, 153.6MiB allocated
Compiler

Compiled 784 to 298 computations (62% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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