Disney BSSRDF, PDF of scattering profile

Time bar (total: 16.7s)

analyze134.0ms (0.8%)

Memory
-6.1MiB live, 113.1MiB 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)

sample2.3s (14.1%)

Memory
-34.9MiB live, 3 296.1MiB allocated
Samples
1.9s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-mult: 495.0ms (30.2% of total)
ival-div: 478.0ms (29.1% of total)
ival-exp: 176.0ms (10.7% of total)
const: 174.0ms (10.6% of total)
ival-<=: 80.0ms (4.9% of total)
ival-neg: 62.0ms (3.8% of total)
ival-add: 52.0ms (3.2% of total)
ival-<: 38.0ms (2.3% of total)
exact: 30.0ms (1.8% of total)
ival-pi: 29.0ms (1.8% of total)
ival-and: 23.0ms (1.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess346.0ms (2.1%)

Memory
-14.4MiB live, 477.0MiB 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
068208
1224168
21067124
35067124
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) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32)))))
Call 2
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) (neg s)))) (* (* (* 2 (PI)) (neg s)) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 (neg s))))) (* (* (* 6 (PI)) (neg s)) r)))
(+ (/ (* 1/4 (exp (/ (neg (neg r)) s))) (* (* (* 2 (PI)) s) (neg r))) (/ (* 3/4 (exp (/ (neg (neg r)) (* 3 s)))) (* (* (* 6 (PI)) s) (neg r))))
(neg (+ (/ (* 1/4 (exp (/ (neg r) (neg s)))) (* (* (* 2 (PI)) (neg s)) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 (neg s))))) (* (* (* 6 (PI)) (neg s)) r))))
(neg (+ (/ (* 1/4 (exp (/ (neg (neg r)) s))) (* (* (* 2 (PI)) s) (neg r))) (/ (* 3/4 (exp (/ (neg (neg r)) (* 3 s)))) (* (* (* 6 (PI)) s) (neg r)))))
(+ (/ (* 1/4 (exp (/ (neg s) r))) (* (* (* 2 (PI)) r) s)) (/ (* 3/4 (exp (/ (neg s) (* 3 r)))) (* (* (* 6 (PI)) r) s)))
Outputs
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
(* (/ 1/8 (* s (PI))) (+ (/ (exp (/ r (neg s))) r) (/ (pow (exp -1/3) (/ r s)) r)))
(+ (/ (* 1/4 (exp (/ (neg r) (neg s)))) (* (* (* 2 (PI)) (neg s)) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 (neg s))))) (* (* (* 6 (PI)) (neg s)) r)))
(* (/ -1/8 (* s (PI))) (+ (/ (cbrt (exp (/ r s))) r) (/ (exp (/ r s)) r)))
(+ (/ (* 1/4 (exp (/ (neg (neg r)) s))) (* (* (* 2 (PI)) s) (neg r))) (/ (* 3/4 (exp (/ (neg (neg r)) (* 3 s)))) (* (* (* 6 (PI)) s) (neg r))))
(* (/ -1/8 (* s (PI))) (+ (/ (cbrt (exp (/ r s))) r) (/ (exp (/ r s)) r)))
(neg (+ (/ (* 1/4 (exp (/ (neg r) (neg s)))) (* (* (* 2 (PI)) (neg s)) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 (neg s))))) (* (* (* 6 (PI)) (neg s)) r))))
(* (/ 1/8 (* s (PI))) (+ (/ (cbrt (exp (/ r s))) r) (/ (exp (/ r s)) r)))
(neg (+ (/ (* 1/4 (exp (/ (neg (neg r)) s))) (* (* (* 2 (PI)) s) (neg r))) (/ (* 3/4 (exp (/ (neg (neg r)) (* 3 s)))) (* (* (* 6 (PI)) s) (neg r)))))
(* (/ 1/8 (* s (PI))) (+ (/ (cbrt (exp (/ r s))) r) (/ (exp (/ r s)) r)))
(+ (/ (* 1/4 (exp (/ (neg s) r))) (* (* (* 2 (PI)) r) s)) (/ (* 3/4 (exp (/ (neg s) (* 3 r)))) (* (* (* 6 (PI)) r) s)))
(* (/ 1/8 (* r (PI))) (+ (/ (exp (/ s (neg r))) s) (/ (pow (exp -1/3) (/ s r)) s)))

explain268.0ms (1.6%)

Memory
33.0MiB live, 459.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
27(0.013466568663716316 26.197853088378906)2(1.6543642686883686e-6 0.00021752520115114748)(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
15(5.122889845665668e-8 8.927388989832252e-6)1(0.0014233103720471263 0.097359299659729)(exp.f32 (/.f32 (neg.f32 r) s))
10-1(2.346462451896514e-6 0.00022706390882376581)(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
00-0-(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
00-0-(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
00-0-(PI.f32)
00-0-#s(literal 2 binary32)
00-0-(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
00-0-(*.f32 #s(literal 6 binary32) (PI.f32))
00-0-(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
00-0-(neg.f32 r)
00-0-s
00-0-(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
00-0-(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
00-0-#s(literal 3/4 binary32)
00-0-(/.f32 (neg.f32 r) s)
00-0-#s(literal 1/4 binary32)
00-0-(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
00-0-(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
00-0-(*.f32 #s(literal 3 binary32) s)
00-0-(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
00-0-#s(literal 6 binary32)
00-0-r
00-0-#s(literal 3 binary32)
00-0-(*.f32 #s(literal 2 binary32) (PI.f32))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))sensitivity74
exp.f32(exp.f32 (/.f32 (neg.f32 r) s))sensitivity56
Confusion
Predicted +Predicted -
+20
-8246
Precision
0.2
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-86240
Precision?
0.125
Recall?
1.0
Freqs
test
numberfreq
0246
18
22
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
80.0ms512×0valid
Compiler

Compiled 366 to 104 computations (71.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 28.0ms (48.1% of total)
ival-div: 13.0ms (22.3% of total)
ival-exp: 9.0ms (15.4% of total)
ival-pi: 2.0ms (3.4% of total)
ival-add: 2.0ms (3.4% of total)
ival-neg: 2.0ms (3.4% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval3.0ms (0%)

Memory
-37.3MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 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)

simplify294.0ms (1.8%)

Memory
36.0MiB live, 385.2MiB 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-diff832
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.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) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32)))))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(/.f32 #s(literal 1/8 binary32) (fma.f32 (exp.f32 (/.f32 r s)) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32)))
(* 1/4 (exp (/ (neg r) s)))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))
1/4
#s(literal 1/4 binary32)
(exp (/ (neg r) s))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(/ (neg r) s)
(-.f32 #s(literal 0 binary32) (/.f32 r s))
(neg r)
(neg.f32 r)
r
s
(* (* (* 2 (PI)) s) r)
(fma.f32 r (fma.f32 s (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 0 binary32)) #s(literal 0 binary32))
(* (* 2 (PI)) s)
(fma.f32 s (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 0 binary32))
(* 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 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32))) (/.f32 #s(literal 1/8 binary32) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))))
(* 3/4 (exp (/ (neg r) (* 3 s))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32))))
3/4
#s(literal 3/4 binary32)
(exp (/ (neg r) (* 3 s)))
(exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32)))
(/ (neg r) (* 3 s))
(fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32))
(* 3 s)
(fma.f32 s #s(literal 3 binary32) #s(literal 0 binary32))
3
#s(literal 3 binary32)
(* (* (* 6 (PI)) s) r)
(fma.f32 r (fma.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32))
(* (* 6 (PI)) s)
(fma.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 0 binary32))
(* 6 (PI))
(*.f32 (PI.f32) #s(literal 6 binary32))
6
#s(literal 6 binary32)

localize73.0ms (0.4%)

Memory
4.1MiB live, 122.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.3%
(*.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
44.0ms256×0valid
Compiler

Compiled 148 to 27 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 15.0ms (45% of total)
ival-div: 10.0ms (30% of total)
ival-exp: 4.0ms (12% of total)
ival-pi: 1.0ms (3% of total)
ival-add: 1.0ms (3% of total)
exact: 1.0ms (3% of total)
ival-neg: 1.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series31.0ms (0.2%)

Memory
9.0MiB live, 46.2MiB 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
9.0ms
s
@0
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
3.0ms
r
@inf
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
3.0ms
s
@0
(* (* (* 6 (PI)) s) r)
2.0ms
r
@-inf
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))
1.0ms
r
@0
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)))

rewrite695.0ms (4.2%)

Memory
0.7MiB live, 719.1MiB 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r s))) r))) (pow.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r s))) r))) (pow.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) r)))
(+.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (pow.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) r) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
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(*.f32 (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))

simplify620.0ms (3.7%)

Memory
-4.2MiB live, 709.2MiB 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)
(/.f32 (fma.f32 r (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.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 (-.f32 #s(literal 0 binary32) (/.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 (-.f32 #s(literal 0 binary32) (/.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 (-.f32 #s(literal 0 binary32) (/.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 (-.f32 #s(literal 0 binary32) (/.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 (-.f32 #s(literal 0 binary32) (/.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 (-.f32 #s(literal 0 binary32) (/.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 (-.f32 #s(literal 0 binary32) (/.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 (-.f32 #s(literal 0 binary32) (/.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 (-.f32 #s(literal 0 binary32) (/.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 (-.f32 #s(literal 0 binary32) (/.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 (-.f32 #s(literal 0 binary32) (/.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 (/.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)))))
(/ (- (+ (* -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 #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)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.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 (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)))))
(* -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 (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)
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r)
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(*.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))))

eval112.0ms (0.7%)

Memory
-56.7MiB live, 189.7MiB allocated
Compiler

Compiled 27 224 to 1 724 computations (93.7% saved)

prune117.0ms (0.7%)

Memory
36.7MiB live, 348.9MiB allocated
Pruning

34 alts after pruning (34 fresh and 0 done)

PrunedKeptTotal
New66834702
Fresh000
Picked101
Done000
Total66934703
Accuracy
99.7%
Counts
703 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.8%
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 3/4 binary32) (*.f32 r s)) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
96.3%
(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 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
96.7%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r s)) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
96.7%
(fma.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
96.7%
(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 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
61.5%
(/.f32 (fma.f32 (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal -1/4 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))))
99.5%
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (*.f32 r r))
8.3%
(/.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)
10.2%
(/.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)
9.0%
(/.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)
13.8%
(/.f32 (fma.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))) (*.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))))) (*.f32 #s(literal 1/4 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) (*.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))))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
8.8%
(/.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)
99.5%
(/.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) (*.f32 r (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
99.4%
(/.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 (PI.f32) #s(literal 6 binary32)))) (*.f32 r s))
11.7%
(/.f32 (-.f32 (pow.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) r))
10.2%
(/.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)
99.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 s (PI.f32))))) r)
99.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
97.5%
(/.f32 (neg.f32 (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 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 r (*.f32 #s(literal 1/4 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))))) (*.f32 r (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32)))))
9.3%
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
10.2%
(+.f32 (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
10.2%
(+.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)))))
11.1%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.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))
99.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) s))
11.1%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.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))
11.1%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.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))
9.8%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
9.6%
(+.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 (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))))
99.3%
(+.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)) (exp.f32 (*.f32 (log.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 binary32))))
8.9%
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
9.0%
(+.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
55.3%
(*.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))))))
99.4%
(*.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 #s(literal 0 binary32) (/.f32 r s))) r)))
11.7%
(*.f32 (-.f32 (pow.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) r)))
Compiler

Compiled 2 444 to 1 508 computations (38.3% saved)

simplify765.0ms (4.6%)

Memory
-5.6MiB live, 1 352.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff160
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))))
cost-diff160
(/.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) 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-diff832
(+.f32 (/.f32 (*.f32 #s(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 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) s))
cost-diff0
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32)))
cost-diff0
(+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))
cost-diff0
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
cost-diff544
(*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (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-diff736
(+.f32 (/.f32 (*.f32 #s(literal 1/4 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 (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))))
cost-diff-32
(*.f32 s (PI.f32))
cost-diff-32
(*.f32 r (*.f32 s (PI.f32)))
cost-diff0
(PI.f32)
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
cost-diff0
(/.f32 (fma.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) (*.f32 r (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) r)
cost-diff96
(*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
cost-diff160
(/.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) (*.f32 r (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
cost-diff800
(fma.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) (*.f32 r (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))
Rules
34 310×accelerator-lowering-fma.f32
34 310×accelerator-lowering-fma.f64
6 194×*-lowering-*.f32
6 194×*-lowering-*.f64
3 236×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057600
1162576
2495570
32046538
43443538
53544532
64147532
74580532
84599532
94619532
105599532
116172532
08111528
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (/ (+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3)))))) r) (* s (* (* (PI) 6) r)))
(/ (+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3)))))) r)
(+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3))))))
(* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI))))
(exp (- 0 (/ r s)))
(- 0 (/ r s))
0
(/ r s)
r
s
(/ 1/8 (* s (PI)))
1/8
(* s (PI))
(PI)
(* s (* (* (PI) 6) r))
(* (* (PI) 6) r)
(* (PI) 6)
6
(* r (* 3/4 (exp (/ r (* s -3)))))
(* 3/4 (exp (/ r (* s -3))))
3/4
(exp (/ r (* s -3)))
(/ r (* s -3))
(* s -3)
-3
(/ 1/4 (* r (* s (PI))))
1/4
(* r (* s (PI)))
r
(* s (PI))
s
(PI)
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (+ (/ 1/8 (* r (* s (PI)))) (/ -1/24 (* s (* 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)))) (/ -1/24 (* s (* s (PI)))))
(/ 1/8 (* r (* s (PI))))
1/8
(* r (* s (PI)))
(* s (PI))
(/ -1/24 (* s (* s (PI))))
-1/24
(* s (* s (PI)))
(/ (* 1/8 (+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))) s)
(* 1/8 (+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI)))))
1/8
(+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))
(/ (exp (- 0 (/ r s))) (* r (PI)))
(exp (- 0 (/ r s)))
(- 0 (/ r s))
0
(/ r s)
r
s
(* r (PI))
(PI)
(/ (exp (* (/ r s) -1/3)) (* r (PI)))
(exp (* (/ r s) -1/3))
(* (/ r s) -1/3)
-1/3
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (* 3/4 (exp (/ r (* s -3)))) (* r (* (PI) 6))) 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)
(/ (/ (* 3/4 (exp (/ r (* s -3)))) (* r (* (PI) 6))) s)
(/ (* 3/4 (exp (/ r (* s -3)))) (* r (* (PI) 6)))
(* 3/4 (exp (/ r (* s -3))))
3/4
(exp (/ r (* s -3)))
(/ r (* s -3))
(* s -3)
-3
(* r (* (PI) 6))
(* (PI) 6)
6
Outputs
(/ (/ (+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3)))))) r) (* s (* (* (PI) 6) r)))
(/.f32 (fma.f32 r (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32))))) (fma.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (fma.f32 #s(literal 1/8 binary32) (fma.f32 r #s(literal 6 binary32) #s(literal 0 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32))) (fma.f32 (fma.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 0 binary32)) (fma.f32 r s #s(literal 0 binary32)) #s(literal 0 binary32)))
(/ (+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3)))))) r)
(/.f32 (fma.f32 r (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32))))) (fma.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (fma.f32 #s(literal 1/8 binary32) (fma.f32 r #s(literal 6 binary32) #s(literal 0 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32))) r)
(+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3))))))
(fma.f32 r (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32))))) (fma.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (fma.f32 #s(literal 1/8 binary32) (fma.f32 r #s(literal 6 binary32) #s(literal 0 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32)))
(* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (fma.f32 s (PI.f32) #s(literal 0 binary32)) (exp.f32 (/.f32 r s))))
(exp (- 0 (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(- 0 (/ r s))
(-.f32 #s(literal 0 binary32) (/.f32 r s))
0
#s(literal 0 binary32)
(/ r s)
(/.f32 r s)
r
s
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (fma.f32 s (PI.f32) #s(literal 0 binary32)))
1/8
#s(literal 1/8 binary32)
(* s (PI))
(fma.f32 s (PI.f32) #s(literal 0 binary32))
(PI)
(PI.f32)
(* s (* (* (PI) 6) r))
(fma.f32 r (fma.f32 s (*.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32))
(* (* (PI) 6) r)
(fma.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 0 binary32))
(* (PI) 6)
(*.f32 (PI.f32) #s(literal 6 binary32))
6
#s(literal 6 binary32)
(* r (* 3/4 (exp (/ r (* s -3)))))
(fma.f32 (exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32)))) (fma.f32 r #s(literal 3/4 binary32) #s(literal 0 binary32)) #s(literal 0 binary32))
(* 3/4 (exp (/ r (* s -3))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32)))))
3/4
#s(literal 3/4 binary32)
(exp (/ r (* s -3)))
(exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32))))
(/ r (* s -3))
(/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32)))
(* s -3)
(fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32))
-3
#s(literal -3 binary32)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)))
1/4
#s(literal 1/4 binary32)
(* r (* s (PI)))
(fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))
r
(* s (PI))
(fma.f32 s (PI.f32) #s(literal 0 binary32))
s
(PI)
(PI.f32)
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (+ (/ 1/8 (* r (* s (PI)))) (/ -1/24 (* s (* s (PI))))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal 1 binary32)) (/.f32 #s(literal -1/24 binary32) (fma.f32 s (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(/.f32 #s(literal 1/8 binary32) (fma.f32 (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) (exp.f32 (/.f32 r s)) #s(literal 0 binary32)))
(* 1/4 (exp (/ (neg r) s)))
(*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(exp (/ (neg r) s))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(/ (neg r) s)
(-.f32 #s(literal 0 binary32) (/.f32 r s))
(neg r)
(neg.f32 r)
r
s
(* (* (* 2 (PI)) s) r)
(fma.f32 r (fma.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32))
(* (* 2 (PI)) s)
(fma.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 0 binary32))
(* 2 (PI))
(*.f32 (PI.f32) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
(+ (/ 1/8 (* r (* s (PI)))) (/ -1/24 (* s (* s (PI)))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) (/.f32 #s(literal -1/24 binary32) (fma.f32 s (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))))
(/ 1/8 (* r (* s (PI))))
(/.f32 #s(literal 1/8 binary32) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)))
1/8
#s(literal 1/8 binary32)
(* r (* s (PI)))
(fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))
(* s (PI))
(fma.f32 s (PI.f32) #s(literal 0 binary32))
(/ -1/24 (* s (* s (PI))))
(/.f32 #s(literal -1/24 binary32) (fma.f32 s (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)))
-1/24
#s(literal -1/24 binary32)
(* s (* s (PI)))
(fma.f32 s (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))
(/ (* 1/8 (+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (fma.f32 r (PI.f32) #s(literal 0 binary32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32))))) s)
(* 1/8 (+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (fma.f32 r (PI.f32) #s(literal 0 binary32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32)))))
1/8
#s(literal 1/8 binary32)
(+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))
(+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (fma.f32 r (PI.f32) #s(literal 0 binary32))) (/.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32))) (fma.f32 r (PI.f32) #s(literal 0 binary32))))
(/ (exp (- 0 (/ r s))) (* r (PI)))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (fma.f32 r (PI.f32) #s(literal 0 binary32)))
(exp (- 0 (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(- 0 (/ r s))
(-.f32 #s(literal 0 binary32) (/.f32 r s))
0
#s(literal 0 binary32)
(/ r s)
(/.f32 r s)
r
s
(* r (PI))
(fma.f32 r (PI.f32) #s(literal 0 binary32))
(PI)
(PI.f32)
(/ (exp (* (/ r s) -1/3)) (* r (PI)))
(/.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32))) (fma.f32 r (PI.f32) #s(literal 0 binary32)))
(exp (* (/ r s) -1/3))
(exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32)))
(* (/ r s) -1/3)
(fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32))
-1/3
#s(literal -1/3 binary32)
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (* 3/4 (exp (/ r (* s -3)))) (* r (* (PI) 6))) s))
(*.f32 (/.f32 #s(literal 1/8 binary32) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32))))))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(/.f32 #s(literal 1/8 binary32) (fma.f32 (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) (exp.f32 (/.f32 r s)) #s(literal 0 binary32)))
(* 1/4 (exp (/ (neg r) s)))
(*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal 1/4 binary32))
1/4
#s(literal 1/4 binary32)
(exp (/ (neg r) s))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(/ (neg r) s)
(-.f32 #s(literal 0 binary32) (/.f32 r s))
(neg r)
(neg.f32 r)
r
s
(* (* (* 2 (PI)) s) r)
(fma.f32 r (fma.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32))
(* (* 2 (PI)) s)
(fma.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 0 binary32))
(* 2 (PI))
(*.f32 (PI.f32) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
(/ (/ (* 3/4 (exp (/ r (* s -3)))) (* r (* (PI) 6))) s)
(*.f32 (exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal 1/8 binary32) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))))
(/ (* 3/4 (exp (/ r (* s -3)))) (* r (* (PI) 6)))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32)))) (fma.f32 r (PI.f32) #s(literal 0 binary32))))
(* 3/4 (exp (/ r (* s -3))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32)))))
3/4
#s(literal 3/4 binary32)
(exp (/ r (* s -3)))
(exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32))))
(/ r (* s -3))
(/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32)))
(* s -3)
(fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32))
-3
#s(literal -3 binary32)
(* r (* (PI) 6))
(fma.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 0 binary32))
(* (PI) 6)
(*.f32 (PI.f32) #s(literal 6 binary32))
6
#s(literal 6 binary32)

localize274.0ms (1.6%)

Memory
-12.0MiB live, 427.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
accuracy99.3%
(*.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)
accuracy99.6%
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
accuracy99.6%
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
accuracy99.1%
(*.f32 r (PI.f32))
accuracy97.7%
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
accuracy99.2%
(/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))
accuracy98.9%
(*.f32 s (PI.f32))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
accuracy97.0%
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))
accuracy100.0%
(PI.f32)
accuracy99.3%
(*.f32 r (*.f32 s (PI.f32)))
accuracy99.3%
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
accuracy98.9%
(*.f32 s (PI.f32))
accuracy99.3%
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
accuracy99.2%
(/.f32 r (*.f32 s #s(literal -3 binary32)))
accuracy99.1%
(*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))
accuracy98.9%
(*.f32 s (PI.f32))
Samples
134.0ms256×0valid
Compiler

Compiled 611 to 59 computations (90.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 109.0ms
const: 39.0ms (35.8% of total)
ival-mult: 26.0ms (23.9% of total)
ival-div: 23.0ms (21.1% of total)
ival-exp: 9.0ms (8.3% of total)
ival-add: 7.0ms (6.4% of total)
ival-sub: 2.0ms (1.8% of total)
ival-pi: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series104.0ms (0.6%)

Memory
27.7MiB live, 103.9MiB allocated
Counts
31 → 660
Calls
Call 1
Inputs
#<alt (+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3))))))>
#<alt (/ (/ (+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3)))))) r) (* s (* (* (PI) 6) r)))>
#<alt (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI))))>
#<alt (/ (+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3)))))) r)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (PI)>
#<alt (* r (* s (PI)))>
#<alt (* s (PI))>
#<alt (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (+ (/ 1/8 (* r (* s (PI)))) (/ -1/24 (* s (* 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 (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI)))))>
#<alt (/ (* 1/8 (+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))) s)>
#<alt (+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))>
#<alt (/ (exp (- 0 (/ r s))) (* r (PI)))>
#<alt (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (* 3/4 (exp (/ r (* s -3)))) (* r (* (PI) 6))) s))>
#<alt (/ (/ (* 3/4 (exp (/ r (* s -3)))) (* r (* (PI) 6))) s)>
#<alt (/ (* 3/4 (exp (/ r (* s -3)))) (* r (* (PI) 6)))>
#<alt (* s (* (* (PI) 6) r))>
#<alt (/ r (* s -3))>
#<alt (/ 1/8 (* s (PI)))>
#<alt (+ (/ 1/8 (* r (* s (PI)))) (/ -1/24 (* s (* s (PI)))))>
#<alt (* (* 2 (PI)) s)>
#<alt (/ -1/24 (* s (* s (PI))))>
#<alt (* (/ r s) -1/3)>
#<alt (* r (PI))>
#<alt (exp (* (/ r s) -1/3))>
#<alt (exp (- 0 (/ r s)))>
#<alt (* (* (* 2 (PI)) s) r)>
#<alt (exp (/ r (* s -3)))>
Outputs
#<alt (* 3/2 r)>
#<alt (* r (+ 3/2 (* -1 (/ r s))))>
#<alt (* r (+ 3/2 (* r (- (* 5/12 (/ r (pow s 2))) (/ 1 s)))))>
#<alt (* r (+ 3/2 (* r (- (* r (+ (* -7/54 (/ r (pow s 3))) (* 5/12 (/ 1 (pow s 2))))) (/ 1 s)))))>
#<alt (* r (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))))>
#<alt (* r (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))))>
#<alt (* r (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))))>
#<alt (* r (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))))>
#<alt (* -1 (* r (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s)))))))>
#<alt (* -1 (* r (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s)))))))>
#<alt (* -1 (* r (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s)))))))>
#<alt (* -1 (* r (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s)))))))>
#<alt (+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s))))))>
#<alt (+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s))))))>
#<alt (+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s))))))>
#<alt (+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s))))))>
#<alt (* 3/2 r)>
#<alt (+ (* -3/4 (/ (pow r 2) s)) (+ (* -1/4 (/ (pow r 2) s)) (* 3/2 r)))>
#<alt (+ (* -3/4 (/ (pow r 2) s)) (+ (* -1/4 (/ (pow r 2) s)) (+ (* 1/24 (/ (pow r 3) (pow s 2))) (+ (* 3/8 (/ (pow r 3) (pow s 2))) (* 3/2 r)))))>
#<alt (+ (* -3/4 (/ (pow r 2) s)) (+ (* -1/4 (/ (pow r 2) s)) (+ (* -1/8 (/ (pow r 4) (pow s 3))) (+ (* -1/216 (/ (pow r 4) (pow s 3))) (+ (* 1/24 (/ (pow r 3) (pow s 2))) (+ (* 3/8 (/ (pow r 3) (pow s 2))) (* 3/2 r)))))))>
#<alt (* 3/2 r)>
#<alt (+ (* -1 (/ (+ (* 1/4 (pow r 2)) (* 3/4 (pow r 2))) s)) (* 3/2 r))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (pow r 3)) (* 3/8 (pow r 3))) s)) (+ (* 1/4 (pow r 2)) (* 3/4 (pow r 2)))) s)) (* 3/2 r))>
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#<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 (* 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>
#<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)))>
#<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 (neg (/ r s)))>
#<alt (exp (neg (/ r s)))>
#<alt (exp (neg (/ r s)))>
#<alt (exp (neg (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (* -1 (/ r s)))>
#<alt (exp (neg (/ r s)))>
#<alt (exp (neg (/ r s)))>
#<alt (exp (neg (/ r s)))>
#<alt (exp (neg (/ 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 (* 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>
#<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

165 calls:

TimeVariablePointExpression
28.0ms
s
@0
(* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI))))
19.0ms
r
@-inf
(/ (* 1/8 (+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))) s)
6.0ms
r
@inf
(/ (+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3)))))) r)
2.0ms
r
@inf
(/ (/ (+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3)))))) r) (* s (* (* (PI) 6) r)))
2.0ms
r
@-inf
(* 1/8 (+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI)))))

rewrite751.0ms (4.5%)

Memory
-15.1MiB live, 592.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 384×*-lowering-*.f32
5 384×*-lowering-*.f64
4 050×/-lowering-/.f32
4 050×/-lowering-/.f64
3 658×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057408
1358362
24306362
08935358
Stop Event
iter limit
node limit
Counts
31 → 1 219
Calls
Call 1
Inputs
(+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3))))))
(/ (/ (+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3)))))) r) (* s (* (* (PI) 6) r)))
(* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI))))
(/ (+ (* (* (exp (- 0 (/ r s))) (/ 1/8 (* s (PI)))) (* s (* (* (PI) 6) r))) (* r (* 3/4 (exp (/ r (* s -3)))))) r)
(/ 1/4 (* r (* s (PI))))
(PI)
(* r (* s (PI)))
(* s (PI))
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (+ (/ 1/8 (* r (* s (PI)))) (/ -1/24 (* s (* 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 (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI)))))
(/ (* 1/8 (+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))) s)
(+ (/ (exp (- 0 (/ r s))) (* r (PI))) (/ (exp (* (/ r s) -1/3)) (* r (PI))))
(/ (exp (- 0 (/ r s))) (* r (PI)))
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ (* 3/4 (exp (/ r (* s -3)))) (* r (* (PI) 6))) s))
(/ (/ (* 3/4 (exp (/ r (* s -3)))) (* r (* (PI) 6))) s)
(/ (* 3/4 (exp (/ r (* s -3)))) (* r (* (PI) 6)))
(* s (* (* (PI) 6) r))
(/ r (* s -3))
(/ 1/8 (* s (PI)))
(+ (/ 1/8 (* r (* s (PI)))) (/ -1/24 (* s (* s (PI)))))
(* (* 2 (PI)) s)
(/ -1/24 (* s (* s (PI))))
(* (/ r s) -1/3)
(* r (PI))
(exp (* (/ r s) -1/3))
(exp (- 0 (/ r s)))
(* (* (* 2 (PI)) s) r)
(exp (/ r (* s -3)))
Outputs
(+.f32 (*.f32 s (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32)))))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32))))
(+.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32))) (*.f32 s (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32)))))))
(pow.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32))) (-.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32))) (*.f32 s (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32))))))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32))))) (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 r s) (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) (fma.f32 (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 r r) r)) #s(literal 216 binary32)) (*.f32 (*.f32 s s) s)) (/.f32 #s(literal 1/512 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 s s) s)))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 (*.f32 (*.f32 r r) r) #s(literal 27/64 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 s (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32))))) (*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) r)) (fma.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32))))) (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 r s) (-.f32 #s(literal 0 binary32) (/.f32 r s)))) (neg.f32 (*.f32 (*.f32 (*.f32 r #s(literal 3/4 binary32)) (*.f32 r #s(literal 3/4 binary32))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (*.f32 s #s(literal -3 binary32))))))))) #s(literal -1 binary32))
(fma.f32 r (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 s (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32)))))))
(fma.f32 s (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32))))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32))))
(fma.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32))))
(fma.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32)))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32))))
(fma.f32 #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (*.f32 s (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32)))))))
(fma.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) r (*.f32 s (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32)))))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32)) (*.f32 s (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32)))))))
(fma.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 s (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32))))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32))))
(fma.f32 (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)) (*.f32 r (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32))))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32))))
(fma.f32 (*.f32 r #s(literal 3/4 binary32)) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 s (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32)))))))
(fma.f32 (*.f32 s (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32))))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32)))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) s (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32))))
(fma.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32)))) (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32))) r (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32))))
(fma.f32 (*.f32 (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32))))
(fma.f32 (*.f32 (*.f32 s (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32))))) r) (*.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32))))
(fma.f32 (*.f32 (*.f32 s (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32))))) (PI.f32)) (*.f32 r #s(literal 6 binary32)) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32))))
(fma.f32 (*.f32 (*.f32 s (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32))))) (*.f32 (PI.f32) #s(literal 6 binary32))) r (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32))))
(fma.f32 (*.f32 (*.f32 s (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32))))) (*.f32 r (PI.f32))) #s(literal 6 binary32) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32))))
(fma.f32 (*.f32 r (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) #s(literal 3/4 binary32) (*.f32 s (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32)))))))
(-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32)))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 6 binary32))))) (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 r s) (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (fma.f32 s (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32))))) (*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) r))) (/.f32 (*.f32 (*.f32 (*.f32 r #s(literal 3/4 binary32)) (*.f32 r #s(literal 3/4 binary32))) (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) (/.f32 r (*.f32 s #s(literal -3 binary32)))))) (fma.f32 s (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32))))) (*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) r))))
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(pow.f32 (exp.f32 (*.f32 r #s(literal -1/3 binary32))) (/.f32 #s(literal 1 binary32) s))
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.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))))))
(/.f32 (exp.f32 (/.f32 #s(literal 0 binary32) (*.f32 s #s(literal 3 binary32)))) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32)))))
(cbrt.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))
(*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))
(*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/6 binary32))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/6 binary32))))

simplify756.0ms (4.5%)

Memory
10.8MiB live, 718.6MiB allocated
Algorithm
egg-herbie
Rules
8 752×accelerator-lowering-fma.f32
8 752×accelerator-lowering-fma.f64
4 826×*-lowering-*.f32
4 826×*-lowering-*.f64
4 004×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08288216
125027878
271427826
082407628
Stop Event
iter limit
node limit
Counts
660 → 660
Calls
Call 1
Inputs
(* 3/2 r)
(* r (+ 3/2 (* -1 (/ r s))))
(* r (+ 3/2 (* r (- (* 5/12 (/ r (pow s 2))) (/ 1 s)))))
(* r (+ 3/2 (* r (- (* r (+ (* -7/54 (/ r (pow s 3))) (* 5/12 (/ 1 (pow s 2))))) (/ 1 s)))))
(* r (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))))
(* r (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))))
(* r (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))))
(* r (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))))
(* -1 (* r (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s)))))))
(* -1 (* r (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s)))))))
(* -1 (* r (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s)))))))
(* -1 (* r (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s)))))))
(+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s))))))
(+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s))))))
(+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s))))))
(+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s))))))
(* 3/2 r)
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(+ (* -3/4 (/ (pow r 2) s)) (+ (* -1/4 (/ (pow r 2) s)) (+ (* 1/24 (/ (pow r 3) (pow s 2))) (+ (* 3/8 (/ (pow r 3) (pow s 2))) (* 3/2 r)))))
(+ (* -3/4 (/ (pow r 2) s)) (+ (* -1/4 (/ (pow r 2) s)) (+ (* -1/8 (/ (pow r 4) (pow s 3))) (+ (* -1/216 (/ (pow r 4) (pow s 3))) (+ (* 1/24 (/ (pow r 3) (pow s 2))) (+ (* 3/8 (/ (pow r 3) (pow s 2))) (* 3/2 r)))))))
(* 3/2 r)
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(/ 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)
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(* -1/6 (/ (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(* -1/6 (/ (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
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(/ 1/4 (* r (* s (PI))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* 1/24 (/ r (PI))) (* 3/8 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/6 (+ (* 1/24 (/ r (PI))) (* 3/8 (/ r (PI))))) (* 1/6 (/ (+ (* 1/216 (/ (pow r 2) (PI))) (* 1/8 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/8 (* s (PI)))
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(/ (+ (* -1/8 (/ r (* s (PI)))) (+ (* 1/16 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/8 (/ 1 (PI))))) s)
(/ (+ (* -1/8 (/ r (* s (PI)))) (+ (* -1/48 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* 1/16 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/8 (/ 1 (PI)))))) s)
(/ 1/8 (* s (PI)))
(* -1 (/ (- (* 1/8 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1/8 (/ r (PI))) (* 1/16 (/ (pow r 2) (* s (PI))))) s)) (* 1/8 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (/ (pow r 2) (PI))) (* 1/48 (/ (pow r 3) (* s (PI))))) s)) (* -1/8 (/ r (PI)))) s)) (* 1/8 (/ 1 (PI)))) s))
3/2
(+ 3/2 (* -1 (/ r s)))
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(+ 3/2 (* r (- (* r (+ (* -7/54 (/ r (pow s 3))) (* 5/12 (/ 1 (pow s 2))))) (/ 1 s))))
(+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s)))))
(+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s)))))
(+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s)))))
(+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s)))))
(* -1 (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s))))))
(* -1 (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s))))))
(* -1 (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s))))))
(* -1 (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s))))))
(/ (+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s)))))) r)
(/ (+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s)))))) r)
(/ (+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s)))))) r)
(/ (+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s)))))) r)
3/2
(+ 3/2 (+ (* -3/4 (/ r s)) (* -1/4 (/ r s))))
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3/2
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(/ 1/4 (* r (* s (PI))))
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(* r (* s (PI)))
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(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 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)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
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(- (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI))))) (/ 1/8 (* r (* s (PI))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))
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(- (* -1 (/ (- (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)) (* 1/24 (/ 1 (* (pow s 2) (PI)))))
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(/ (- (* s (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (* 1/24 (/ 1 (PI)))) (pow s 2))
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1/4
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1/4
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1/4
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1
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(exp (* -1 (/ r s)))
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1
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1
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(/ (+ (* r (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)
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(* -1/8 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) r))
(* -1/8 (/ (+ (* -1 (/ (exp (* -1 (/ r s))) (PI))) (* -1 (/ (exp (* -1/3 (/ r s))) (PI)))) r))
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(+ 1 (* -1/3 (/ r s)))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
1
(+ 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 (neg (/ r s)))
(exp (neg (/ r s)))
(exp (neg (/ r s)))
(exp (neg (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (* -1 (/ r s)))
(exp (neg (/ r s)))
(exp (neg (/ r s)))
(exp (neg (/ r s)))
(exp (neg (/ 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)))
(* 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
(+ 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
(* 3/2 r)
(*.f32 #s(literal 3/2 binary32) r)
(* r (+ 3/2 (* -1 (/ r s))))
(*.f32 r (-.f32 #s(literal 3/2 binary32) (/.f32 r s)))
(* r (+ 3/2 (* r (- (* 5/12 (/ r (pow s 2))) (/ 1 s)))))
(*.f32 r (fma.f32 r (fma.f32 #s(literal 5/12 binary32) (/.f32 r (*.f32 s s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 3/2 binary32)))
(* r (+ 3/2 (* r (- (* r (+ (* -7/54 (/ r (pow s 3))) (* 5/12 (/ 1 (pow s 2))))) (/ 1 s)))))
(*.f32 r (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/54 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/12 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 3/2 binary32)))
(* r (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))))
(*.f32 (*.f32 r #s(literal 3/4 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))
(* r (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))))
(*.f32 (*.f32 r #s(literal 3/4 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))
(* r (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))))
(*.f32 (*.f32 r #s(literal 3/4 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))
(* r (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))))
(*.f32 (*.f32 r #s(literal 3/4 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))
(* -1 (* r (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s)))))))
(*.f32 (*.f32 r #s(literal 3/4 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))
(* -1 (* r (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s)))))))
(*.f32 (*.f32 r #s(literal 3/4 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))
(* -1 (* r (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s)))))))
(*.f32 (*.f32 r #s(literal 3/4 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))
(* -1 (* r (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s)))))))
(*.f32 (*.f32 r #s(literal 3/4 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))
(+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s))))))
(*.f32 (*.f32 r #s(literal 3/4 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))
(+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s))))))
(*.f32 (*.f32 r #s(literal 3/4 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))
(+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s))))))
(*.f32 (*.f32 r #s(literal 3/4 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))
(+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s))))))
(*.f32 (*.f32 r #s(literal 3/4 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))
(* 3/2 r)
(*.f32 #s(literal 3/2 binary32) r)
(+ (* -3/4 (/ (pow r 2) s)) (+ (* -1/4 (/ (pow r 2) s)) (* 3/2 r)))
(*.f32 r (-.f32 #s(literal 3/2 binary32) (/.f32 r s)))
(+ (* -3/4 (/ (pow r 2) s)) (+ (* -1/4 (/ (pow r 2) s)) (+ (* 1/24 (/ (pow r 3) (pow s 2))) (+ (* 3/8 (/ (pow r 3) (pow s 2))) (* 3/2 r)))))
(fma.f32 r (-.f32 #s(literal 0 binary32) (/.f32 r s)) (fma.f32 #s(literal 3/2 binary32) r (*.f32 (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s s)) #s(literal 5/12 binary32))))
(+ (* -3/4 (/ (pow r 2) s)) (+ (* -1/4 (/ (pow r 2) s)) (+ (* -1/8 (/ (pow r 4) (pow s 3))) (+ (* -1/216 (/ (pow r 4) (pow s 3))) (+ (* 1/24 (/ (pow r 3) (pow s 2))) (+ (* 3/8 (/ (pow r 3) (pow s 2))) (* 3/2 r)))))))
(fma.f32 r (-.f32 #s(literal 0 binary32) (/.f32 r s)) (fma.f32 (/.f32 (pow.f32 r #s(literal 4 binary32)) (*.f32 s (*.f32 s s))) #s(literal -7/54 binary32) (fma.f32 #s(literal 3/2 binary32) r (*.f32 (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s s)) #s(literal 5/12 binary32)))))
(* 3/2 r)
(*.f32 #s(literal 3/2 binary32) r)
(+ (* -1 (/ (+ (* 1/4 (pow r 2)) (* 3/4 (pow r 2))) s)) (* 3/2 r))
(*.f32 r (-.f32 #s(literal 3/2 binary32) (/.f32 r s)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (pow r 3)) (* 3/8 (pow r 3))) s)) (+ (* 1/4 (pow r 2)) (* 3/4 (pow r 2)))) s)) (* 3/2 r))
(-.f32 (*.f32 #s(literal 3/2 binary32) r) (/.f32 (-.f32 (*.f32 r r) (/.f32 (*.f32 r (*.f32 #s(literal 5/12 binary32) (*.f32 r r))) s)) s))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/216 (pow r 4)) (* 1/8 (pow r 4))) s)) (+ (* 1/24 (pow r 3)) (* 3/8 (pow r 3)))) s)) (+ (* 1/4 (pow r 2)) (* 3/4 (pow r 2)))) s)) (* 3/2 r))
(fma.f32 #s(literal 3/2 binary32) r (/.f32 (fma.f32 r r (/.f32 (-.f32 (*.f32 r (*.f32 #s(literal 5/12 binary32) (*.f32 r r))) (*.f32 (pow.f32 r #s(literal 4 binary32)) (/.f32 #s(literal 7/54 binary32) s))) (neg.f32 s))) (neg.f32 s)))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))) r)
(* 1/6 (/ (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/6 (/ (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/6 (/ (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/6 (/ (+ (* 3/4 (exp (neg (/ r s)))) (* 3/4 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
(* -1/6 (/ (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
(* -1/6 (/ (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
(* -1/6 (/ (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
(* -1/6 (/ (+ (* -3/4 (exp (* -1 (/ r s)))) (* -3/4 (exp (* -1/3 (/ r s))))) (* r (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
(* 1/6 (/ (+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s)))))) (* (pow r 2) (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 r (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) (*.f32 (PI.f32) (*.f32 s (*.f32 r r))))
(* 1/6 (/ (+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s)))))) (* (pow r 2) (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 r (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) (*.f32 (PI.f32) (*.f32 s (*.f32 r r))))
(* 1/6 (/ (+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s)))))) (* (pow r 2) (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 r (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) (*.f32 (PI.f32) (*.f32 s (*.f32 r r))))
(* 1/6 (/ (+ (* 3/4 (* r (exp (neg (/ r s))))) (* 3/4 (* r (exp (* -1/3 (/ r s)))))) (* (pow r 2) (* s (PI)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 r (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) (*.f32 (PI.f32) (*.f32 s (*.f32 r r))))
(/ 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)))))
(/ (- (+ (* 1/6 (/ (+ (* 1/24 (/ r (PI))) (* 3/8 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 #s(literal 5/12 binary32) (/.f32 r (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32))))) s)
(/ (- (+ (* 1/6 (/ (+ (* -1/8 (/ (pow r 2) (PI))) (* -1/216 (/ (pow r 2) (PI)))) (pow s 3))) (+ (* 1/6 (/ (+ (* 1/24 (/ r (PI))) (* 3/8 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (/.f32 (*.f32 r r) (PI.f32)) (/.f32 #s(literal -7/54 binary32) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 #s(literal 5/12 binary32) (/.f32 r (PI.f32))) (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(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 (/ (- (* 1/6 (/ (+ (* 1/24 (/ r (PI))) (* 3/8 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 #s(literal 5/12 binary32) (/.f32 r (PI.f32))) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/6 (+ (* 1/24 (/ r (PI))) (* 3/8 (/ r (PI))))) (* 1/6 (/ (+ (* 1/216 (/ (pow r 2) (PI))) (* 1/8 (/ (pow r 2) (PI)))) s))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal -5/72 binary32) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 7/54 binary32))) s)) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s)
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))
(+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI)))))
(fma.f32 #s(literal -1/8 binary32) (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI)))))
(fma.f32 r (fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(+ (* 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)))))
(fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 s (*.f32 s (*.f32 s (PI.f32)))))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (neg (/ r s))) (* s (PI))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (neg (/ r s))) (* s (PI))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (neg (/ r s))) (* s (PI))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (neg (/ r s))) (* s (PI))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 s (PI.f32))))
(* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 s (PI.f32))))
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(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* -1/3 (/ r s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
(* r (PI))
(*.f32 r (PI.f32))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(fma.f32 r (fma.f32 r (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(fma.f32 r (fma.f32 r (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))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
(+.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) (/.f32 (*.f32 (*.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) #s(literal -1/18 binary32))) s))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (/.f32 (*.f32 r r) s)) #s(literal -1/162 binary32))) (neg.f32 s))) s))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) #s(literal 1/2 binary32) (/.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 (/.f32 r (*.f32 s (*.f32 s s))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))
(exp (neg (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(exp (neg (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(exp (neg (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(exp (neg (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(exp (* -1 (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(exp (neg (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(exp (neg (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(exp (neg (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(exp (neg (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (+ (* -1 (/ r s)) (* 1/2 (/ (pow r 2) (pow s 2)))))
(fma.f32 (*.f32 r r) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 r s)))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 r s)) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 r (*.f32 r r)) #s(literal -1/6 binary32)) (*.f32 s (*.f32 s s)))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ r s)))
(-.f32 #s(literal 1 binary32) (/.f32 r s))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 r 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 r (/.f32 (*.f32 r r) s)) (*.f32 (*.f32 r r) #s(literal 1/2 binary32))) s)) s))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))
(* 2 (* r (* s (PI))))
(*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 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 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(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))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(fma.f32 r (fma.f32 r (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))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp (* -1/3 (/ r s)))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32)))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
(+.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/18 binary32) (*.f32 s s)) #s(literal 1 binary32))) (/.f32 (*.f32 (*.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) #s(literal -1/18 binary32))) s))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (/.f32 (*.f32 r r) s)) #s(literal -1/162 binary32))) (neg.f32 s))) s))

eval332.0ms (2%)

Memory
18.6MiB live, 742.3MiB allocated
Compiler

Compiled 98 495 to 6 607 computations (93.3% saved)

prune458.0ms (2.7%)

Memory
-3.6MiB live, 1 138.8MiB allocated
Pruning

70 alts after pruning (69 fresh and 1 done)

PrunedKeptTotal
New2 658582 716
Fresh181129
Picked415
Done000
Total2 680702 750
Accuracy
99.9%
Counts
2 750 → 70
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.7%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r s)) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
96.7%
(fma.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
9.6%
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))))
99.5%
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
99.5%
(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
61.5%
(/.f32 (fma.f32 (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal -1/4 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))))
9.7%
(/.f32 (fma.f32 s (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 s))
8.8%
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/54 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/12 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 3/2 binary32)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
10.2%
(/.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)
9.0%
(/.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)
9.4%
(/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) (*.f32 r (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
99.4%
(/.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) (*.f32 r (*.f32 #s(literal 3/4 binary32) (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32))))))) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
9.8%
(/.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) (*.f32 r (*.f32 #s(literal 3/4 binary32) #s(literal 1 binary32)))) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
8.7%
(/.f32 (/.f32 (fma.f32 r (-.f32 #s(literal 0 binary32) (/.f32 r s)) (fma.f32 (/.f32 (pow.f32 r #s(literal 4 binary32)) (*.f32 s (*.f32 s s))) #s(literal -7/54 binary32) (fma.f32 #s(literal 3/2 binary32) r (*.f32 (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s s)) #s(literal 5/12 binary32))))) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
99.4%
(/.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 (PI.f32) #s(literal 6 binary32)))) (*.f32 r s))
99.3%
(/.f32 (/.f32 (/.f32 (fma.f32 s (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32))))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32)))) (*.f32 r s)) (*.f32 r (PI.f32))) #s(literal 6 binary32))
9.3%
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s)
9.3%
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
9.3%
(/.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) r) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
9.3%
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))) r)
9.3%
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
9.3%
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
9.3%
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
10.3%
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 (-.f32 r (/.f32 (-.f32 (*.f32 #s(literal 5/12 binary32) (*.f32 r r)) (*.f32 (*.f32 r (*.f32 r r)) (/.f32 #s(literal 7/54 binary32) s))) s)) s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
10.2%
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 (-.f32 r (/.f32 (*.f32 #s(literal 5/12 binary32) (*.f32 r r)) s)) s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
9.0%
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 r s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
10.0%
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s)
8.8%
(/.f32 (+.f32 (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
10.2%
(/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
9.0%
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
10.1%
(/.f32 (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) (fma.f32 #s(literal 5/12 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) #s(literal 3/2 binary32))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
99.4%
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) s)
99.4%
(/.f32 (*.f32 #s(literal 3/4 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
9.7%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 1 binary32)) (*.f32 r (PI.f32))))) s)
9.6%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (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 r (PI.f32))))) s)
11.1%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (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 r (PI.f32))))) s)
98.2%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32)) (*.f32 r (PI.f32))))) s)
99.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))))) s)
11.1%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (/.f32 (*.f32 r r) s)) #s(literal -1/162 binary32))) (neg.f32 s))) s)) (*.f32 r (PI.f32))))) s)
9.8%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))))) s)
99.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
96.7%
(/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 r (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) (*.f32 (PI.f32) (*.f32 s (*.f32 r r))))
97.5%
(/.f32 (neg.f32 (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 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 r (*.f32 #s(literal 1/4 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))))) (*.f32 r (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32)))))
9.3%
(/.f32 #s(literal 3/2 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
9.3%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
9.3%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
9.3%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
9.3%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
9.3%
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
9.3%
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
9.7%
(+.f32 (fma.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))
8.6%
(+.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/8 binary32) (*.f32 s s)) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))))
8.6%
(+.f32 (/.f32 (fma.f32 r (fma.f32 r (/.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 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))))
10.2%
(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
8.9%
(+.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))))
9.6%
(+.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 3/4 binary32) (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 r (*.f32 (PI.f32) #s(literal 6 binary32)))) s))
11.1%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (/.f32 (*.f32 r r) s)) #s(literal -1/162 binary32))) (neg.f32 s))) s))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) s))
9.8%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) #s(literal 1 binary32)) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) s))
9.8%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s))
11.1%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s))
11.1%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.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))
99.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (*.f32 r (PI.f32)) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 8 binary32))) #s(literal -1 binary32))) s))
9.8%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))))
9.7%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))))
8.9%
(+.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)))))
8.3%
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))))
9.3%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r))
9.3%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r s)) (pow.f32 (/.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -1 binary32)))
99.4%
(*.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 #s(literal 0 binary32) (/.f32 r s))) r)))
99.2%
(exp.f32 (*.f32 (log.f32 (/.f32 s (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))) #s(literal -1 binary32)))
Compiler

Compiled 3 777 to 2 493 computations (34% saved)

simplify397.0ms (2.4%)

Memory
-10.9MiB live, 624.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 r s)
cost-diff0
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
cost-diff0
(+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))
cost-diff0
(*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))
cost-diff0
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
cost-diff160
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s)
cost-diff256
(/.f32 (*.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-diff640
(+.f32 (/.f32 (*.f32 #s(literal 1/4 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 (PI.f32))) s))
cost-diff0
(PI.f32)
cost-diff0
(/.f32 r (*.f32 s (*.f32 s (PI.f32))))
cost-diff0
(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))))
cost-diff0
(/.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)
cost-diff-32
(*.f32 r s)
cost-diff-32
(*.f32 (*.f32 r s) (PI.f32))
cost-diff0
(PI.f32)
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
cost-diff0
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
cost-diff0
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))))
cost-diff0
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
cost-diff768
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s)))))
Rules
5 016×*-lowering-*.f32
5 016×*-lowering-*.f64
4 710×/-lowering-/.f32
4 710×/-lowering-/.f64
4 510×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055372
1138363
2356361
3978346
42612346
52737346
62856346
72988346
83110346
93278346
104872346
115687346
126091346
136202346
146202346
156234346
166235346
177145346
187505346
197601346
207601346
217601346
227617346
237647346
247647346
09446344
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s))))) s)
(+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s)))))
(/ (exp (/ r (* s -3))) (* r (* (PI) 6)))
(exp (/ r (* s -3)))
(/ r (* s -3))
r
(* s -3)
s
-3
(* r (* (PI) 6))
(* (PI) 6)
(PI)
6
3/4
(/ 1/8 (* (* r (PI)) (exp (/ r s))))
1/8
(* (* r (PI)) (exp (/ r s)))
(* r (PI))
(exp (/ r s))
(/ r s)
(/ 1/4 (* (* r s) (PI)))
1/4
(* (* r s) (PI))
(* r s)
r
s
(PI)
(/ (+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI)))) r)
(+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI))))
-1/6
(/ r (* s (* s (PI))))
r
(* s (* s (PI)))
s
(* s (PI))
(PI)
(/ 1/4 (* s (PI)))
1/4
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ 1/8 (* r (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)
(/ (/ 1/8 (* r (PI))) s)
(/ 1/8 (* r (PI)))
1/8
(* r (PI))
(/ (* 1/8 (+ (exp (* (/ r s) -1/3)) (exp (- 0 (/ r s))))) (* r (* s (PI))))
(* 1/8 (+ (exp (* (/ r s) -1/3)) (exp (- 0 (/ r s)))))
1/8
(+ (exp (* (/ r s) -1/3)) (exp (- 0 (/ r s))))
(exp (* (/ r s) -1/3))
(* (/ r s) -1/3)
(/ r s)
r
s
-1/3
(exp (- 0 (/ r s)))
(- 0 (/ r s))
0
(* r (* s (PI)))
(* s (PI))
(PI)
Outputs
(/ (+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (fma.f32 r (PI.f32) #s(literal 0 binary32))) (+.f32 (exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) s)
(+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (fma.f32 r (PI.f32) #s(literal 0 binary32))) (+.f32 (exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))
(/ (exp (/ r (* s -3))) (* r (* (PI) 6)))
(/.f32 (exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32)))) (fma.f32 #s(literal 6 binary32) (fma.f32 r (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)))
(exp (/ r (* s -3)))
(exp.f32 (/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32))))
(/ r (* s -3))
(/.f32 r (fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32)))
r
(* s -3)
(fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32))
s
-3
#s(literal -3 binary32)
(* r (* (PI) 6))
(fma.f32 #s(literal 6 binary32) (fma.f32 r (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))
(* (PI) 6)
(*.f32 (PI.f32) #s(literal 6 binary32))
(PI)
(PI.f32)
6
#s(literal 6 binary32)
3/4
#s(literal 3/4 binary32)
(/ 1/8 (* (* r (PI)) (exp (/ r s))))
(/.f32 #s(literal 1/8 binary32) (fma.f32 (fma.f32 r (PI.f32) #s(literal 0 binary32)) (exp.f32 (/.f32 r s)) #s(literal 0 binary32)))
1/8
#s(literal 1/8 binary32)
(* (* r (PI)) (exp (/ r s)))
(fma.f32 (fma.f32 r (PI.f32) #s(literal 0 binary32)) (exp.f32 (/.f32 r s)) #s(literal 0 binary32))
(* r (PI))
(fma.f32 r (PI.f32) #s(literal 0 binary32))
(exp (/ r s))
(exp.f32 (/.f32 r s))
(/ r s)
(/.f32 r s)
(/ 1/4 (* (* r s) (PI)))
(/.f32 #s(literal 1/4 binary32) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)))
1/4
#s(literal 1/4 binary32)
(* (* r s) (PI))
(fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))
(* r s)
(fma.f32 r s #s(literal 0 binary32))
r
s
(PI)
(PI.f32)
(/ (+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI)))) r)
(/.f32 (fma.f32 r (/.f32 #s(literal -1/6 binary32) (fma.f32 s (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 s (PI.f32) #s(literal 0 binary32)))) r)
(+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI))))
(fma.f32 r (/.f32 #s(literal -1/6 binary32) (fma.f32 s (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 s (PI.f32) #s(literal 0 binary32))))
-1/6
#s(literal -1/6 binary32)
(/ r (* s (* s (PI))))
(/.f32 r (fma.f32 s (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)))
r
(* s (* s (PI)))
(fma.f32 s (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))
s
(* s (PI))
(fma.f32 s (PI.f32) #s(literal 0 binary32))
(PI)
(PI.f32)
(/ 1/4 (* s (PI)))
(/.f32 #s(literal 1/4 binary32) (fma.f32 s (PI.f32) #s(literal 0 binary32)))
1/4
#s(literal 1/4 binary32)
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ 1/8 (* r (PI))) s))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal 1 binary32)) #s(literal 0 binary32))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(/.f32 #s(literal 1/8 binary32) (fma.f32 (exp.f32 (/.f32 r s)) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32)))
(* 1/4 (exp (/ (neg r) s)))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))
1/4
#s(literal 1/4 binary32)
(exp (/ (neg r) s))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(/ (neg r) s)
(-.f32 #s(literal 0 binary32) (/.f32 r s))
(neg r)
(neg.f32 r)
r
s
(* (* (* 2 (PI)) s) r)
(fma.f32 r (fma.f32 (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 2 binary32) #s(literal 0 binary32)) #s(literal 0 binary32))
(* (* 2 (PI)) s)
(fma.f32 (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 2 binary32) #s(literal 0 binary32))
(* 2 (PI))
(*.f32 (PI.f32) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(PI)
(PI.f32)
(/ (/ 1/8 (* r (PI))) s)
(/.f32 #s(literal 1/8 binary32) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)))
(/ 1/8 (* r (PI)))
(/.f32 #s(literal 1/8 binary32) (fma.f32 r (PI.f32) #s(literal 0 binary32)))
1/8
#s(literal 1/8 binary32)
(* r (PI))
(fma.f32 r (PI.f32) #s(literal 0 binary32))
(/ (* 1/8 (+ (exp (* (/ r s) -1/3)) (exp (- 0 (/ r s))))) (* r (* s (PI))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) (+.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))) #s(literal 0 binary32))
(* 1/8 (+ (exp (* (/ r s) -1/3)) (exp (- 0 (/ r s)))))
(*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))
1/8
#s(literal 1/8 binary32)
(+ (exp (* (/ r s) -1/3)) (exp (- 0 (/ r s))))
(+.f32 (exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))
(exp (* (/ r s) -1/3))
(exp.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32)))
(* (/ r s) -1/3)
(fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 0 binary32))
(/ r s)
(/.f32 r s)
r
s
-1/3
#s(literal -1/3 binary32)
(exp (- 0 (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(- 0 (/ r s))
(-.f32 #s(literal 0 binary32) (/.f32 r s))
0
#s(literal 0 binary32)
(* r (* s (PI)))
(fma.f32 r (fma.f32 s (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))
(* s (PI))
(fma.f32 s (PI.f32) #s(literal 0 binary32))
(PI)
(PI.f32)

localize222.0ms (1.3%)

Memory
29.6MiB live, 457.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
accuracy99.3%
(*.f32 r (*.f32 s (PI.f32)))
accuracy98.9%
(*.f32 s (PI.f32))
accuracy97.7%
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
accuracy99.2%
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) s)
accuracy99.1%
(*.f32 r (PI.f32))
accuracy99.0%
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
accuracy99.3%
(/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32)))
accuracy99.0%
(/.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)
accuracy98.9%
(*.f32 s (PI.f32))
accuracy98.7%
(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))))
accuracy100.0%
(*.f32 r s)
accuracy100.0%
(PI.f32)
accuracy99.3%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
accuracy98.8%
(*.f32 (*.f32 r s) (PI.f32))
accuracy99.6%
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
accuracy99.6%
(exp.f32 (/.f32 r s))
accuracy99.2%
(/.f32 r (*.f32 s #s(literal -3 binary32)))
accuracy99.1%
(*.f32 r (PI.f32))
Samples
122.0ms256×0valid
Compiler

Compiled 375 to 57 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-div: 48.0ms (47.6% of total)
ival-mult: 28.0ms (27.7% of total)
ival-exp: 9.0ms (8.9% of total)
const: 7.0ms (6.9% of total)
ival-add: 5.0ms (5% of total)
ival-pi: 1.0ms (1% of total)
ival-sub: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series55.0ms (0.3%)

Memory
-6.5MiB live, 111.4MiB allocated
Counts
28 → 588
Calls
Call 1
Inputs
#<alt (+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s)))))>
#<alt (/ (+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s))))) s)>
#<alt (/ (exp (/ r (* s -3))) (* r (* (PI) 6)))>
#<alt (exp (/ r (* s -3)))>
#<alt (/ 1/4 (* (* r s) (PI)))>
#<alt (PI)>
#<alt (* (* r s) (PI))>
#<alt (* r s)>
#<alt (/ (+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI)))) r)>
#<alt (+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI))))>
#<alt (/ r (* s (* s (PI))))>
#<alt (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ 1/8 (* r (PI))) s))>
#<alt (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))>
#<alt (/ (/ 1/8 (* r (PI))) s)>
#<alt (* 1/4 (exp (/ (neg r) s)))>
#<alt (* 1/8 (+ (exp (* (/ r s) -1/3)) (exp (- 0 (/ r s)))))>
#<alt (+ (exp (* (/ r s) -1/3)) (exp (- 0 (/ r s))))>
#<alt (exp (* (/ r s) -1/3))>
#<alt (/ r s)>
#<alt (* r (PI))>
#<alt (/ r (* s -3))>
#<alt (exp (/ r s))>
#<alt (* s (PI))>
#<alt (/ 1/4 (* s (PI)))>
#<alt (* (* 2 (PI)) s)>
#<alt (/ 1/8 (* r (PI)))>
#<alt (* (/ r s) -1/3)>
#<alt (* r (* s (PI)))>
Outputs
#<alt (/ 1/4 (* r (PI)))>
#<alt (/ (+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) r)>
#<alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)>
#<alt (* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r))>
#<alt (* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r))>
#<alt (* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r))>
#<alt (* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r))>
#<alt (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))>
#<alt (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))>
#<alt (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))>
#<alt (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))>
#<alt (- (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI))))>
#<alt (- (+ (* -1/8 (/ (+ (* -1 (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))))) (+ (* -1/2 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI))))) (pow s 3))) (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI))))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* -1/6 (/ (pow r 2) (PI))) (+ (* 1/2 (/ (pow r 2) (PI))) (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))))))) (* 1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/8 (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))>
#<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 (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s))>
#<alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s))>
#<alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s))>
#<alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s))>
#<alt (* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s)))>
#<alt (* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s)))>
#<alt (* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s)))>
#<alt (* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s)))>
#<alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)>
#<alt (/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)>
#<alt (/ (- (+ (* -1/8 (/ (+ (* -1 (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))))) (+ (* -1/2 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI))))) (pow s 3))) (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ 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 (/ (- (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/144 (/ r (* s (PI))))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (+ (* -1/8 (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/144 (/ r (PI))))) (+ (* -1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (+ (* 1/2 (/ (pow r 2) (PI))) (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))))) s)) (* 1/1296 (/ (pow r 2) (* s (PI)))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (/ 1/6 (* r (PI)))>
#<alt (/ (+ (* -1/18 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) r)>
#<alt (/ (+ (* r (- (* 1/108 (/ r (* (pow s 2) (PI)))) (* 1/18 (/ 1 (* s (PI)))))) (* 1/6 (/ 1 (PI)))) r)>
#<alt (/ (+ (* r (- (* r (+ (* -1/972 (/ r (* (pow s 3) (PI)))) (* 1/108 (/ 1 (* (pow s 2) (PI)))))) (* 1/18 (/ 1 (* s (PI)))))) (* 1/6 (/ 1 (PI)))) r)>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (/ 1/6 (* r (PI)))>
#<alt (- (* 1/6 (/ 1 (* r (PI)))) (* 1/18 (/ 1 (* s (PI)))))>
#<alt (- (+ (* 1/108 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (PI))))) (/ 1/18 (* s (PI))))>
#<alt (- (+ (* -1/972 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/108 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (PI)))))) (/ 1/18 (* s (PI))))>
#<alt (/ 1/6 (* r (PI)))>
#<alt (- (* 1/6 (/ 1 (* r (PI)))) (* 1/18 (/ 1 (* s (PI)))))>
#<alt (+ (* -1 (/ (+ (* -1/108 (/ r (* s (PI)))) (* 1/18 (/ 1 (PI)))) s)) (* 1/6 (/ 1 (* r (PI)))))>
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#<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)))>
#<alt (/ r s)>
#<alt (/ r s)>
#<alt (/ r s)>
#<alt (/ r s)>
#<alt (/ r s)>
#<alt (/ r s)>
#<alt (/ r s)>
#<alt (/ r s)>
#<alt (/ r s)>
#<alt (/ r s)>
#<alt (/ r s)>
#<alt (/ r s)>
#<alt (/ r s)>
#<alt (/ r s)>
#<alt (/ r s)>
#<alt (/ r s)>
#<alt (/ r s)>
#<alt (/ r s)>
#<alt (/ r s)>
#<alt (/ r s)>
#<alt (/ r s)>
#<alt (/ r s)>
#<alt (/ r s)>
#<alt (/ r s)>
#<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 (* -1/3 (/ 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 (/ 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 (/ r s))>
#<alt (exp (/ r s))>
#<alt (exp (/ r s))>
#<alt (exp (/ r s))>
#<alt (exp (/ r s))>
#<alt (exp (/ r s))>
#<alt (exp (/ r s))>
#<alt (exp (/ r s))>
#<alt (exp (/ r s))>
#<alt (exp (/ r s))>
#<alt (exp (/ r s))>
#<alt (exp (/ r s))>
#<alt 1>
#<alt (+ 1 (/ r s))>
#<alt (+ 1 (+ (* 1/2 (/ (pow r 2) (pow s 2))) (/ r s)))>
#<alt (+ 1 (+ (* 1/6 (/ (pow r 3) (pow s 3))) (+ (* 1/2 (/ (pow r 2) (pow s 2))) (/ r s))))>
#<alt 1>
#<alt (+ 1 (/ r s))>
#<alt (+ 1 (* -1 (/ (+ (* -1 r) (* -1/2 (/ (pow r 2) s))) s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 r) (* -1 (/ (+ (* 1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) 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 (/ 1/4 (* s (PI)))>
#<alt (/ 1/4 (* s (PI)))>
#<alt (/ 1/4 (* s (PI)))>
#<alt (/ 1/4 (* s (PI)))>
#<alt (/ 1/4 (* s (PI)))>
#<alt (/ 1/4 (* s (PI)))>
#<alt (/ 1/4 (* s (PI)))>
#<alt (/ 1/4 (* s (PI)))>
#<alt (/ 1/4 (* s (PI)))>
#<alt (/ 1/4 (* s (PI)))>
#<alt (/ 1/4 (* s (PI)))>
#<alt (/ 1/4 (* 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 (* 2 (* s (PI)))>
#<alt (/ 1/8 (* r (PI)))>
#<alt (/ 1/8 (* r (PI)))>
#<alt (/ 1/8 (* r (PI)))>
#<alt (/ 1/8 (* r (PI)))>
#<alt (/ 1/8 (* r (PI)))>
#<alt (/ 1/8 (* r (PI)))>
#<alt (/ 1/8 (* r (PI)))>
#<alt (/ 1/8 (* r (PI)))>
#<alt (/ 1/8 (* r (PI)))>
#<alt (/ 1/8 (* r (PI)))>
#<alt (/ 1/8 (* r (PI)))>
#<alt (/ 1/8 (* r (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 (* 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)))>
Calls

147 calls:

TimeVariablePointExpression
14.0ms
s
@0
(/ r (* s (* s (PI))))
6.0ms
s
@0
(/ 1/4 (* s (PI)))
3.0ms
s
@-inf
(+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s)))))
1.0ms
s
@0
(+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s)))))
1.0ms
r
@inf
(+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s)))))

rewrite398.0ms (2.4%)

Memory
-11.0MiB live, 704.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 820×/-lowering-/.f32
4 820×/-lowering-/.f64
3 802×*-lowering-*.f32
3 802×*-lowering-*.f64
2 578×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054252
1292243
22854243
08314238
Stop Event
iter limit
node limit
Counts
28 → 965
Calls
Call 1
Inputs
(+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s)))))
(/ (+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s))))) s)
(/ (exp (/ r (* s -3))) (* r (* (PI) 6)))
(exp (/ r (* s -3)))
(/ 1/4 (* (* r s) (PI)))
(PI)
(* (* r s) (PI))
(* r s)
(/ (+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI)))) r)
(+ (* -1/6 (/ r (* s (* s (PI))))) (/ 1/4 (* s (PI))))
(/ r (* s (* s (PI))))
(+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ 1/8 (* r (PI))) s))
(/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r))
(/ (/ 1/8 (* r (PI))) s)
(* 1/4 (exp (/ (neg r) s)))
(* 1/8 (+ (exp (* (/ r s) -1/3)) (exp (- 0 (/ r s)))))
(+ (exp (* (/ r s) -1/3)) (exp (- 0 (/ r s))))
(exp (* (/ r s) -1/3))
(/ r s)
(* r (PI))
(/ r (* s -3))
(exp (/ r s))
(* s (PI))
(/ 1/4 (* s (PI)))
(* (* 2 (PI)) s)
(/ 1/8 (* r (PI)))
(* (/ r s) -1/3)
(* r (* s (PI)))
Outputs
(+.f32 (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32)))
(pow.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32))) (pow.f32 (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32)) #s(literal 2 binary32))) (fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))))) #s(literal 27/64 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))) (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 3 binary32)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32) (neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))))) (fma.f32 (pow.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal -2 binary32)) #s(literal 9/16 binary32) (neg.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 2 binary32))))))) #s(literal -1 binary32))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) #s(literal 1/6 binary32)) #s(literal 3/4 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))))
(fma.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 3/4 binary32) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))))
(fma.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32)))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32)))
(fma.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32)))
(fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 r s)) (-.f32 #s(literal 0 binary32) (*.f32 r (PI.f32))))) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) r) (pow.f32 (/.f32 (*.f32 (PI.f32) (exp.f32 (/.f32 r s))) #s(literal 1/8 binary32)) #s(literal -1 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (pow.f32 (/.f32 (exp.f32 (/.f32 r s)) #s(literal 1/8 binary32)) #s(literal -1 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32)))
(fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32)))
(fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal 3/4 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r) (/.f32 #s(literal 3/4 binary32) (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 3/4 binary32) r) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))))
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))))
(-.f32 (/.f32 (pow.f32 (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32)) #s(literal 2 binary32)) (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32) (neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s)))))))) (/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 2 binary32)))) (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32) (neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s)))))))))
(-.f32 (/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 2 binary32)))) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32)))) (/.f32 (pow.f32 (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32)) #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))) (-.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))) (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32))) (pow.f32 (*.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32)) #s(literal 2 binary32))) (fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))))) #s(literal 27/64 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))) (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 3 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))) #s(literal 1/8 binary32) (neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (exp.f32 (/.f32 r s))))))) (fma.f32 (pow.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal -2 binary32)) #s(literal 9/16 binary32) (neg.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) (exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 2 binary32))))))))
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(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) s))) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32))) (neg.f32 s))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1 binary32))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (neg.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 s (PI.f32))))
(*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s (neg.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) #s(literal 1/4 binary32))
(*.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) 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 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 r (PI.f32)) #s(literal 8 binary32))) #s(literal -1 binary32)))
(pow.f32 (*.f32 (*.f32 r (PI.f32)) #s(literal 8 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (*.f32 r (PI.f32)) #s(literal 8 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) r)) #s(literal -1 binary32))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))
(/.f32 #s(literal 1/8 binary32) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 r (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r (PI.f32)) #s(literal 8 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 r (PI.f32)) #s(literal 8 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) r)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 (*.f32 r (PI.f32)) #s(literal 8 binary32)))))
(/.f32 #s(literal -1/8 binary32) (-.f32 #s(literal 0 binary32) (*.f32 r (PI.f32))))
(/.f32 #s(literal -1/8 binary32) (neg.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 r (PI.f32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 r (PI.f32)) #s(literal 8 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 (*.f32 r (PI.f32)) #s(literal 8 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1/8 binary32) r))))
(/.f32 (/.f32 #s(literal 1/8 binary32) r) (PI.f32))
(/.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) r)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r)
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) #s(literal 1 binary32)) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) r))) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32))) (neg.f32 r))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) #s(literal 1 binary32))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (neg.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(*.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))))
(*.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 r (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) r) (pow.f32 (/.f32 (PI.f32) #s(literal 1/8 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) #s(literal 1/8 binary32))
(*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/8 binary32) r))
(neg.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r)) #s(literal -1 binary32)))
(+.f32 (log.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/6 binary32)))) (log.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/6 binary32)))))
(pow.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r) #s(literal -1 binary32))
(pow.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal -3 binary32) (/.f32 r s)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 r s) #s(literal 3 binary32)))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 s #s(literal 3 binary32))) (/.f32 r (*.f32 s #s(literal 3 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 s #s(literal -3 binary32))) (/.f32 r (*.f32 s #s(literal 3 binary32))))
(-.f32 (/.f32 (/.f32 #s(literal 0 binary32) s) #s(literal -3 binary32)) (/.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal -3 binary32)))
(-.f32 (/.f32 (/.f32 #s(literal 0 binary32) s) #s(literal 3 binary32)) (/.f32 (/.f32 r s) #s(literal 3 binary32)))
(-.f32 (/.f32 (/.f32 #s(literal 0 binary32) (/.f32 (*.f32 r r) (*.f32 s s))) #s(literal 3 binary32)) (/.f32 (/.f32 (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 r r) (*.f32 s s))) #s(literal 3 binary32)))
(-.f32 (/.f32 (/.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 3 binary32)) (/.f32 (/.f32 r s) #s(literal 3 binary32)))
(/.f32 r (*.f32 s #s(literal -3 binary32)))
(/.f32 r (neg.f32 (*.f32 s #s(literal 3 binary32))))
(/.f32 (/.f32 r s) #s(literal -3 binary32))
(/.f32 (neg.f32 r) (*.f32 s #s(literal 3 binary32)))
(/.f32 (neg.f32 r) (neg.f32 (neg.f32 (*.f32 s #s(literal 3 binary32)))))
(/.f32 #s(literal -1/3 binary32) (/.f32 s r))
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) #s(literal 3 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal -3 binary32)) r))
(/.f32 #s(literal 1 binary32) (/.f32 s (*.f32 r #s(literal -1/3 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -3 binary32) (/.f32 r s)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (*.f32 r #s(literal -1/3 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal -3 binary32) (/.f32 r s))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (*.f32 s #s(literal -3 binary32)) r) #s(literal 1 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 binary32)) (*.f32 s #s(literal -3 binary32)))
(/.f32 (neg.f32 (*.f32 r #s(literal -1/3 binary32))) (neg.f32 s))
(/.f32 (*.f32 #s(literal -1/3 binary32) (neg.f32 r)) (neg.f32 s))
(/.f32 (*.f32 (neg.f32 r) #s(literal -1/3 binary32)) (neg.f32 s))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(/.f32 (neg.f32 (*.f32 r #s(literal 1 binary32))) (*.f32 s #s(literal 3 binary32)))
(/.f32 (neg.f32 (neg.f32 (*.f32 r #s(literal -1/3 binary32)))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (*.f32 #s(literal -1/3 binary32) (neg.f32 r))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (*.f32 (neg.f32 r) #s(literal -1/3 binary32))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (/.f32 r #s(literal -3 binary32))) (neg.f32 s))
(*.f32 r (/.f32 #s(literal -1/3 binary32) s))
(*.f32 (/.f32 r s) #s(literal -1/3 binary32))
(*.f32 (/.f32 r s) (log.f32 (exp.f32 #s(literal -1/3 binary32))))
(*.f32 (neg.f32 r) (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 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 (/.f32 #s(literal -1/3 binary32) s) (log.f32 (exp.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) (pow.f32 (/.f32 #s(literal -3 binary32) r) #s(literal -1 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))
(log.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))
(*.f32 r (*.f32 s (PI.f32)))
(*.f32 s (*.f32 r (PI.f32)))
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 (*.f32 r (PI.f32)) s)
(*.f32 (*.f32 r s) (PI.f32))
(*.f32 (*.f32 s (PI.f32)) r)
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 r s)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 r s)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s)))
(*.f32 (*.f32 (*.f32 r s) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 r s) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))

simplify500.0ms (3%)

Memory
26.2MiB live, 955.9MiB allocated
Algorithm
egg-herbie
Rules
12 764×accelerator-lowering-fma.f32
12 764×accelerator-lowering-fma.f64
5 184×*-lowering-*.f32
5 184×*-lowering-*.f64
4 710×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05855898
117365728
248965624
084775467
Stop Event
iter limit
node limit
Counts
588 → 588
Calls
Call 1
Inputs
(/ 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)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r))
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r))
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r))
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r))
(+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))
(+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))
(+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))
(+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))
(/ 1/4 (* r (PI)))
(- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(- (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI))))
(- (+ (* -1/8 (/ (+ (* -1 (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))))) (+ (* -1/2 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI))))) (pow s 3))) (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ 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 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* -1/6 (/ (pow r 2) (PI))) (+ (* 1/2 (/ (pow r 2) (PI))) (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))))))) (* 1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/8 (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/144 (/ 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)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s))
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s))
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s))
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s))
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s)))
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s)))
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s)))
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s)))
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)
(/ 1/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/8 (/ (+ (* -1 (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))))) (+ (* -1/2 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI))))) (pow s 3))) (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ 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 (/ (- (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/144 (/ r (* s (PI))))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (+ (* -1/8 (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/144 (/ r (PI))))) (+ (* -1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (+ (* 1/2 (/ (pow r 2) (PI))) (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))))) s)) (* 1/1296 (/ (pow r 2) (* s (PI)))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/ 1/6 (* r (PI)))
(/ (+ (* -1/18 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) r)
(/ (+ (* r (- (* 1/108 (/ r (* (pow s 2) (PI)))) (* 1/18 (/ 1 (* s (PI)))))) (* 1/6 (/ 1 (PI)))) r)
(/ (+ (* r (- (* r (+ (* -1/972 (/ r (* (pow s 3) (PI)))) (* 1/108 (/ 1 (* (pow s 2) (PI)))))) (* 1/18 (/ 1 (* s (PI)))))) (* 1/6 (/ 1 (PI)))) r)
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(/ 1/6 (* r (PI)))
(- (* 1/6 (/ 1 (* r (PI)))) (* 1/18 (/ 1 (* s (PI)))))
(- (+ (* 1/108 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (PI))))) (/ 1/18 (* s (PI))))
(- (+ (* -1/972 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/108 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (PI)))))) (/ 1/18 (* s (PI))))
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(/ 1/4 (* s (PI)))
(/ 1/4 (* s (PI)))
(/ 1/4 (* s (PI)))
(/ 1/4 (* s (PI)))
(/ 1/4 (* s (PI)))
(/ 1/4 (* s (PI)))
(/ 1/4 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(* 2 (* s (PI)))
(/ 1/8 (* r (PI)))
(/ 1/8 (* r (PI)))
(/ 1/8 (* r (PI)))
(/ 1/8 (* r (PI)))
(/ 1/8 (* r (PI)))
(/ 1/8 (* r (PI)))
(/ 1/8 (* r (PI)))
(/ 1/8 (* r (PI)))
(/ 1/8 (* r (PI)))
(/ 1/8 (* r (PI)))
(/ 1/8 (* r (PI)))
(/ 1/8 (* r (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))
(* 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)))
Outputs
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(/ (+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) r)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) 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)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) r)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) r)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) r)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) r)
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) r)
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) r)
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) r)
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) r)
(+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s)))))
(+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s)))))
(+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s)))))
(+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s)))))
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)))
(- (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI))))
(+.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 1/144 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))))
(- (+ (* -1/8 (/ (+ (* -1 (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))))) (+ (* -1/2 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI))))) (pow s 3))) (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI))))
(+.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))) (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 1/144 binary32) (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 r r)) (PI.f32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))))
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))
(-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (PI.f32)) (/.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32)) s)) s))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* -1/6 (/ (pow r 2) (PI))) (+ (* 1/2 (/ (pow r 2) (PI))) (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))))))) (* 1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/8 (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))
(-.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 r (PI.f32)) #s(literal 5/72 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal 7/324 binary32))) s)) s)) s))
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (PI.f32) s)))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (PI.f32) (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 (PI.f32) (*.f32 s s))))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) (*.f32 r s))
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) (*.f32 r s))
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) (*.f32 r s))
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) (*.f32 r s))
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) (*.f32 r s))
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) (*.f32 r s))
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) (*.f32 r s))
(* -1 (/ (- (* -1/8 (/ (exp (* -1/3 (/ r s))) (PI))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) (* r s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (PI.f32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)))) (*.f32 r s))
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
(/ (+ (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI)))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s))))))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 0 binary32))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (PI.f32) s)))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (PI.f32) s))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s))))
(/ (- (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 1/144 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)))) s)
(/ (- (+ (* -1/8 (/ (+ (* -1 (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))))) (+ (* -1/2 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI))))) (pow s 3))) (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (fma.f32 #s(literal -1/1296 binary32) (/.f32 (*.f32 r r) (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))) (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 1/144 binary32) (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 r r)) (PI.f32)) (*.f32 s (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)))) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (PI.f32) s)))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 (PI.f32) s))))
(* -1 (/ (- (* -1 (/ (- (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) s)) (* 1/144 (/ r (* s (PI))))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal 1/16 binary32)) s) (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal 1/144 binary32) (/.f32 #s(literal -1/6 binary32) (PI.f32)))) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (+ (* -1/8 (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))) (* 1/144 (/ r (PI))))) (+ (* -1/8 (/ (+ (* -1/6 (/ (pow r 2) (PI))) (+ (* 1/2 (/ (pow r 2) (PI))) (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))))) s)) (* 1/1296 (/ (pow r 2) (* s (PI)))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
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#s(literal 1/4 binary32)
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#s(literal 1/4 binary32)
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#s(literal 2 binary32)
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#s(literal 2 binary32)
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eval195.0ms (1.2%)

Memory
-0.6MiB live, 497.8MiB allocated
Compiler

Compiled 53 729 to 5 448 computations (89.9% saved)

prune384.0ms (2.3%)

Memory
19.8MiB live, 659.5MiB allocated
Pruning

93 alts after pruning (90 fresh and 3 done)

PrunedKeptTotal
New1 958542 012
Fresh283664
Picked325
Done011
Total1 989932 082
Accuracy
100.0%
Counts
2 082 → 93
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.8%
(fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
9.8%
(fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))))
96.7%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r s)) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
96.7%
(fma.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
9.6%
(/.f32 (fma.f32 (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
74.4%
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
63.0%
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
73.0%
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s (*.f32 s 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)))))) s)
60.9%
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 r (/.f32 r s)) (neg.f32 r)) s))))) s)
72.3%
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 r (/.f32 (fma.f32 r (*.f32 r #s(literal 1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 r (*.f32 r (/.f32 r s))))) s)) s))))) s)
20.7%
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 r s))))) s)
99.5%
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
8.7%
(/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
99.5%
(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
9.8%
(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
9.7%
(/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) r (*.f32 s (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 s (PI.f32)))))) (*.f32 r s))
9.7%
(/.f32 (fma.f32 (+.f32 (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))) #s(literal -1/972 binary32) (/.f32 #s(literal 1/108 binary32) (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal -1/18 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
61.5%
(/.f32 (fma.f32 (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal -1/4 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))))
9.8%
(/.f32 (fma.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 s (PI.f32)))) (*.f32 (PI.f32) (*.f32 r s)) (*.f32 r #s(literal 1/8 binary32))) (*.f32 r (*.f32 (PI.f32) (*.f32 r s))))
99.5%
(/.f32 (fma.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
8.8%
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/72 binary32) (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
8.8%
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/54 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/12 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 3/2 binary32)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
10.2%
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
9.0%
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r #s(literal -4/3 binary32)) s) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
9.8%
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
9.0%
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
99.4%
(/.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) (*.f32 r (*.f32 #s(literal 3/4 binary32) (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32))))))) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
99.4%
(/.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 (PI.f32) #s(literal 6 binary32)))) (*.f32 r s))
9.0%
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s) r)
99.3%
(/.f32 (/.f32 (/.f32 (fma.f32 s (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32))))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32)))) (*.f32 r s)) (*.f32 r (PI.f32))) #s(literal 6 binary32))
9.3%
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
9.3%
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s)
9.3%
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
9.3%
(/.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) r) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
9.3%
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
9.3%
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
9.3%
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
9.3%
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s))
9.3%
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
10.2%
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 (-.f32 r (/.f32 (*.f32 #s(literal 5/12 binary32) (*.f32 r r)) s)) s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
9.0%
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 r s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
10.2%
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 r #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 r (*.f32 (*.f32 r r) #s(literal 14/81 binary32))) s) (*.f32 (*.f32 r r) #s(literal 5/72 binary32))) (neg.f32 s))) s)) (*.f32 r (*.f32 s (PI.f32))))
10.2%
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 r (*.f32 r #s(literal 5/9 binary32))) s) (*.f32 r #s(literal 1/6 binary32))) s)) (*.f32 r (*.f32 s (PI.f32))))
6.7%
(/.f32 (+.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))) #s(literal -1/48 binary32) (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) s))) s)
10.0%
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s)
8.8%
(/.f32 (+.f32 (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
8.1%
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (PI.f32) s)) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/16 binary32))) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s)
9.0%
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) s)
9.7%
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
99.4%
(/.f32 (*.f32 (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))) #s(literal 1/8 binary32)) (*.f32 r (*.f32 s (PI.f32))))
99.4%
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) s)
99.4%
(/.f32 (*.f32 #s(literal 3/4 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
10.2%
(/.f32 (*.f32 #s(literal 1/8 binary32) (fma.f32 r (/.f32 #s(literal -4/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 5/9 binary32) (*.f32 s s)) #s(literal 2 binary32)))) (*.f32 r (*.f32 s (PI.f32))))
10.2%
(/.f32 (*.f32 #s(literal 1/8 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 r #s(literal 4/3 binary32) (/.f32 (fma.f32 #s(literal -14/81 binary32) (*.f32 r (*.f32 r (/.f32 r s))) (*.f32 r (*.f32 r #s(literal 5/9 binary32)))) (neg.f32 s))) s))) (*.f32 r (*.f32 s (PI.f32))))
9.6%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
11.1%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.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)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
9.7%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
98.3%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
99.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
9.6%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (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 r (PI.f32))))) s)
11.1%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (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 r (PI.f32))))) s)
98.2%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32)) (*.f32 r (PI.f32))))) s)
99.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))))) s)
99.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 (*.f32 r s) (PI.f32)))
99.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
9.8%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
96.7%
(/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 r (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) (*.f32 (PI.f32) (*.f32 s (*.f32 r r))))
97.5%
(/.f32 (neg.f32 (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 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 r (*.f32 #s(literal 1/4 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))))) (*.f32 r (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32)))))
9.3%
(/.f32 #s(literal 3/2 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
9.3%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
9.3%
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
9.0%
(/.f32 #s(literal 1 binary32) (/.f32 r (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))))))
9.3%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
9.3%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
9.3%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
9.3%
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
9.3%
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
8.6%
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 (PI.f32) s))))
8.9%
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 (PI.f32) s))))
10.2%
(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
9.8%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) r) s))
9.8%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (PI.f32)) s))
9.8%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) s) (*.f32 r (PI.f32))))
9.8%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 s (PI.f32))))
9.8%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/8 binary32) r)) s))
9.8%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 #s(literal 1 binary32) s)) (PI.f32)))
99.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (*.f32 r (PI.f32)) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 8 binary32))) #s(literal -1 binary32))) s))
9.8%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 r (PI.f32)) #s(literal 8 binary32)) s)))
9.8%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 #s(literal -1/8 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 r (PI.f32))) s)))
8.3%
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))))
9.3%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r))
9.3%
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))
99.2%
(exp.f32 (*.f32 (log.f32 (/.f32 s (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))) #s(literal -1 binary32)))
Compiler

Compiled 4 652 to 3 156 computations (32.2% saved)

simplify400.0ms (2.4%)

Memory
11.8MiB live, 485.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))))
cost-diff0
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
cost-diff160
(fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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)))))
cost-diff320
(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))
cost-diff0
(-.f32 #s(literal 0 binary32) (/.f32 r s))
cost-diff0
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
cost-diff0
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))))
cost-diff768
(fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s))))
cost-diff0
(*.f32 (PI.f32) (*.f32 s s))
cost-diff0
(/.f32 r (*.f32 (PI.f32) (*.f32 s s)))
cost-diff0
(fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))
cost-diff0
(/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
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-diff64
(neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
cost-diff96
(*.f32 (log.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32))
cost-diff672
(fma.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s)))))
cost-diff6272
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32)))
Rules
9 850×accelerator-lowering-fma.f32
9 850×accelerator-lowering-fma.f64
5 422×*-lowering-*.f32
5 422×*-lowering-*.f64
1 842×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071615
1179600
2509587
31528558
44362550
55907550
66633550
08007530
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ (* (exp (* (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))) -1)) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s))))) s)
(+ (* (exp (* (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))) -1)) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s)))))
(exp (* (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))) -1))
(* (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))) -1)
(log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3))))))
(* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))
(* r (* (PI) 6))
r
(* (PI) 6)
(PI)
6
(exp (neg (/ r (* s -3))))
(neg (/ r (* s -3)))
(/ r (* s -3))
(* s -3)
s
-3
-1
3/4
(/ 1/8 (* (* r (PI)) (exp (/ r s))))
1/8
(* (* r (PI)) (exp (/ r s)))
(* r (PI))
(exp (/ r s))
(/ r s)
(/ 1/4 (* (* r (PI)) s))
1/4
(* (* r (PI)) s)
(* r (PI))
r
(PI)
s
(/ (+ (* (/ r (* (PI) (* s s))) -1/8) (/ 1/4 (* (PI) s))) r)
(+ (* (/ r (* (PI) (* s s))) -1/8) (/ 1/4 (* (PI) s)))
(/ r (* (PI) (* s s)))
r
(* (PI) (* s s))
(PI)
(* s s)
s
-1/8
(/ 1/4 (* (PI) s))
1/4
(* (PI) s)
(+ (* (/ (exp (- 0 (/ r s))) (* r (* s (* (PI) 2)))) 1/4) (/ 1/8 (* (PI) (* r s))))
(/ (exp (- 0 (/ r s))) (* r (* s (* (PI) 2))))
(exp (- 0 (/ r s)))
(- 0 (/ r s))
0
(/ r s)
r
s
(* r (* s (* (PI) 2)))
(* s (* (PI) 2))
(* (PI) 2)
(PI)
2
1/4
(/ 1/8 (* (PI) (* r s)))
1/8
(* (PI) (* r s))
(* r s)
(/ (+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (+ (* r (+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))) 1)))) s)
(+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (+ (* r (+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))) 1))))
(/ (exp (/ r (* s -3))) (* r (* (PI) 6)))
(exp (/ r (* s -3)))
(/ r (* s -3))
r
(* s -3)
s
-3
(* r (* (PI) 6))
(* (PI) 6)
(PI)
6
3/4
(/ 1/8 (* (* r (PI)) (+ (* r (+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))) 1)))
1/8
(* (* r (PI)) (+ (* r (+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))) 1))
(* r (PI))
(+ (* r (+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))) 1)
(+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))
(+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))
1/6
(/ r (* s (* s s)))
(* s (* s s))
(* s s)
(/ 1/2 (* s s))
1/2
(/ 1 s)
1
Outputs
(/ (+ (* (exp (* (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))) -1)) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s))))) s)
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 0 binary32))))) s)
(+ (* (exp (* (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))) -1)) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 0 binary32)))))
(exp (* (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))) -1))
(/.f32 (exp.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 0 binary32))) (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))
(* (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))) -1)
(neg.f32 (log.f32 (*.f32 r (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) (exp.f32 (fma.f32 (/.f32 r s) #s(literal 1/3 binary32) #s(literal 0 binary32)))))))
(log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3))))))
(log.f32 (*.f32 r (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) (exp.f32 (fma.f32 (/.f32 r s) #s(literal 1/3 binary32) #s(literal 0 binary32))))))
(* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))
(*.f32 r (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) (exp.f32 (fma.f32 (/.f32 r s) #s(literal 1/3 binary32) #s(literal 0 binary32)))))
(* r (* (PI) 6))
(*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32)))
r
(* (PI) 6)
(*.f32 (PI.f32) #s(literal 6 binary32))
(PI)
(PI.f32)
6
#s(literal 6 binary32)
(exp (neg (/ r (* s -3))))
(exp.f32 (fma.f32 (/.f32 r s) #s(literal 1/3 binary32) #s(literal 0 binary32)))
(neg (/ r (* s -3)))
(fma.f32 (/.f32 r s) #s(literal 1/3 binary32) #s(literal 0 binary32))
(/ r (* s -3))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 0 binary32))
(* s -3)
(fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32))
s
-3
#s(literal -3 binary32)
-1
#s(literal -1 binary32)
3/4
#s(literal 3/4 binary32)
(/ 1/8 (* (* r (PI)) (exp (/ r s))))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))
1/8
#s(literal 1/8 binary32)
(* (* r (PI)) (exp (/ r s)))
(*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s)))
(* r (PI))
(*.f32 r (PI.f32))
(exp (/ r s))
(exp.f32 (/.f32 r s))
(/ r s)
(/.f32 r s)
(/ 1/4 (* (* r (PI)) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (PI.f32) s)))
1/4
#s(literal 1/4 binary32)
(* (* r (PI)) s)
(*.f32 r (*.f32 (PI.f32) s))
(* r (PI))
(*.f32 r (PI.f32))
r
(PI)
(PI.f32)
s
(/ (+ (* (/ r (* (PI) (* s s))) -1/8) (/ 1/4 (* (PI) s))) r)
(/.f32 (fma.f32 r (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(+ (* (/ r (* (PI) (* s s))) -1/8) (/ 1/4 (* (PI) s)))
(fma.f32 r (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))
(/ r (* (PI) (* s s)))
(/.f32 r (*.f32 s (*.f32 (PI.f32) s)))
r
(* (PI) (* s s))
(*.f32 s (*.f32 (PI.f32) s))
(PI)
(PI.f32)
(* s s)
(*.f32 s s)
s
-1/8
#s(literal -1/8 binary32)
(/ 1/4 (* (PI) s))
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
1/4
#s(literal 1/4 binary32)
(* (PI) s)
(*.f32 (PI.f32) s)
(+ (* (/ (exp (- 0 (/ r s))) (* r (* s (* (PI) 2)))) 1/4) (/ 1/8 (* (PI) (* r s))))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) s))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal 1 binary32)))
(/ (exp (- 0 (/ r s))) (* r (* s (* (PI) 2))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (*.f32 (*.f32 (PI.f32) s) #s(literal 2 binary32))))
(exp (- 0 (/ r s)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
(- 0 (/ r s))
(-.f32 #s(literal 0 binary32) (/.f32 r s))
0
#s(literal 0 binary32)
(/ r s)
(/.f32 r s)
r
s
(* r (* s (* (PI) 2)))
(*.f32 r (*.f32 (*.f32 (PI.f32) s) #s(literal 2 binary32)))
(* s (* (PI) 2))
(*.f32 (*.f32 (PI.f32) s) #s(literal 2 binary32))
(* (PI) 2)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI)
(PI.f32)
2
#s(literal 2 binary32)
1/4
#s(literal 1/4 binary32)
(/ 1/8 (* (PI) (* r s)))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) s)))
1/8
#s(literal 1/8 binary32)
(* (PI) (* r s))
(*.f32 r (*.f32 (PI.f32) s))
(* r s)
(*.f32 r s)
(/ (+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (+ (* r (+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))) 1)))) s)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 0 binary32))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 r (/.f32 #s(literal 1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32)))))) s)
(+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (+ (* r (+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))) 1))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 0 binary32))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 r (/.f32 #s(literal 1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))))
(/ (exp (/ r (* s -3))) (* r (* (PI) 6)))
(/.f32 (exp.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 0 binary32))) (*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32))))
(exp (/ r (* s -3)))
(exp.f32 (fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 0 binary32)))
(/ r (* s -3))
(fma.f32 (/.f32 r s) #s(literal -1/3 binary32) #s(literal 0 binary32))
r
(* s -3)
(fma.f32 s #s(literal -3 binary32) #s(literal 0 binary32))
s
-3
#s(literal -3 binary32)
(* r (* (PI) 6))
(*.f32 (PI.f32) (*.f32 r #s(literal 6 binary32)))
(* (PI) 6)
(*.f32 (PI.f32) #s(literal 6 binary32))
(PI)
(PI.f32)
6
#s(literal 6 binary32)
3/4
#s(literal 3/4 binary32)
(/ 1/8 (* (* r (PI)) (+ (* r (+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))) 1)))
(/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 (PI.f32) (fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 r (/.f32 #s(literal 1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32)))))
1/8
#s(literal 1/8 binary32)
(* (* r (PI)) (+ (* r (+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))) 1))
(*.f32 r (*.f32 (PI.f32) (fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 r (/.f32 #s(literal 1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))
(* r (PI))
(*.f32 r (PI.f32))
(+ (* r (+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))) 1)
(fma.f32 r (fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 r (/.f32 #s(literal 1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))
(+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))
(fma.f32 (/.f32 r (*.f32 s s)) (fma.f32 r (/.f32 #s(literal 1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s))
(+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))
(fma.f32 #s(literal 1/6 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)))
1/6
#s(literal 1/6 binary32)
(/ r (* s (* s s)))
(/.f32 r (*.f32 s (*.f32 s s)))
(* s (* s s))
(*.f32 s (*.f32 s s))
(* s s)
(*.f32 s s)
(/ 1/2 (* s s))
(/.f32 #s(literal 1/2 binary32) (*.f32 s s))
1/2
#s(literal 1/2 binary32)
(/ 1 s)
(/.f32 #s(literal 1 binary32) s)
1
#s(literal 1 binary32)

localize805.0ms (4.8%)

Memory
30.8MiB live, 1 319.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))
accuracy99.6%
(*.f32 (*.f32 r (PI.f32)) (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)))
accuracy99.3%
(/.f32 r (*.f32 s (*.f32 s s)))
accuracy37.4%
(PI.f32)
accuracy99.7%
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
accuracy99.6%
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))
accuracy99.6%
(*.f32 (PI.f32) (*.f32 r s))
accuracy37.4%
(PI.f32)
accuracy99.7%
(fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))
accuracy99.7%
(*.f32 (PI.f32) s)
accuracy99.6%
(*.f32 (PI.f32) (*.f32 s s))
accuracy37.4%
(PI.f32)
accuracy99.8%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
accuracy99.7%
(*.f32 (*.f32 r (PI.f32)) s)
accuracy99.7%
(*.f32 r (PI.f32))
accuracy37.4%
(PI.f32)
accuracy99.6%
(exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))
accuracy99.5%
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32)))
accuracy82.5%
(log.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))))
accuracy37.4%
(PI.f32)
Samples
596.0ms171×5exit
42.0ms85×0valid
Compiler

Compiled 617 to 73 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 552.0ms
ival-mult: 122.0ms (22.1% of total)
ival-div: 112.0ms (20.3% of total)
ival-exp: 109.0ms (19.8% of total)
ival-log: 108.0ms (19.6% of total)
adjust: 54.0ms (9.8% of total)
ival-add: 21.0ms (3.8% of total)
ival-pi: 7.0ms (1.3% of total)
const: 6.0ms (1.1% of total)
ival-neg: 5.0ms (0.9% of total)
ival-sub: 4.0ms (0.7% of total)
exact: 3.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series407.0ms (2.4%)

Memory
-142.5MiB live, 368.5MiB allocated
Counts
28 → 600
Calls
Call 1
Inputs
#<alt (exp (* (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))) -1))>
#<alt (+ (* (exp (* (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))) -1)) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s)))))>
#<alt (* (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))) -1)>
#<alt (neg (/ r (* s -3)))>
#<alt (/ 1/4 (* (* r (PI)) s))>
#<alt (* (* r (PI)) s)>
#<alt (* r (PI))>
#<alt (PI)>
#<alt (/ (+ (* (/ r (* (PI) (* s s))) -1/8) (/ 1/4 (* (PI) s))) r)>
#<alt (+ (* (/ r (* (PI) (* s s))) -1/8) (/ 1/4 (* (PI) s)))>
#<alt (/ r (* (PI) (* s s)))>
#<alt (* (PI) (* s s))>
#<alt (+ (* (/ (exp (- 0 (/ r s))) (* r (* s (* (PI) 2)))) 1/4) (/ 1/8 (* (PI) (* r s))))>
#<alt (/ (exp (- 0 (/ r s))) (* r (* s (* (PI) 2))))>
#<alt (exp (- 0 (/ r s)))>
#<alt (- 0 (/ r s))>
#<alt (+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))>
#<alt (+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (+ (* r (+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))) 1))))>
#<alt (/ (+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (+ (* r (+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))) 1)))) s)>
#<alt (/ (exp (/ r (* s -3))) (* r (* (PI) 6)))>
#<alt (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3))))))>
#<alt (exp (neg (/ r (* s -3))))>
#<alt (* (PI) s)>
#<alt (* (PI) (* r s))>
#<alt (* s (* (PI) 2))>
#<alt (/ r (* s (* s s)))>
#<alt (* (* r (PI)) (+ (* r (+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))) 1))>
#<alt (exp (/ r (* s -3)))>
Outputs
#<alt (/ 1/6 (* r (PI)))>
#<alt (/ (+ (* -1/18 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) r)>
#<alt (/ (+ (* r (- (* 1/108 (/ r (* (pow s 2) (PI)))) (* 1/18 (/ 1 (* s (PI)))))) (* 1/6 (/ 1 (PI)))) r)>
#<alt (/ (+ (* r (- (* r (+ (* -1/972 (/ r (* (pow s 3) (PI)))) (* 1/108 (/ 1 (* (pow s 2) (PI)))))) (* 1/18 (/ 1 (* s (PI)))))) (* 1/6 (/ 1 (PI)))) r)>
#<alt (/ 1/6 (* r (* (PI) (exp (* 1/3 (/ r s))))))>
#<alt (/ 1/6 (* r (* (PI) (exp (* 1/3 (/ r s))))))>
#<alt (/ 1/6 (* r (* (PI) (exp (* 1/3 (/ r s))))))>
#<alt (/ 1/6 (* r (* (PI) (exp (* 1/3 (/ r s))))))>
#<alt (/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))>
#<alt (/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))>
#<alt (/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))>
#<alt (/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))>
#<alt (/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))>
#<alt (/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))>
#<alt (/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))>
#<alt (/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))>
#<alt (/ 1/6 (* r (PI)))>
#<alt (- (* 1/6 (/ 1 (* r (PI)))) (* 1/18 (/ 1 (* s (PI)))))>
#<alt (- (+ (* -1 (/ (+ (* -1/54 (/ r (PI))) (* 1/108 (/ r (PI)))) (pow s 2))) (* 1/6 (/ 1 (* r (PI))))) (/ 1/18 (* s (PI))))>
#<alt (- (+ (* -1 (/ (+ (* -1/3 (* r (+ (* -1/54 (/ r (PI))) (* 1/108 (/ r (PI)))))) (+ (* -1/324 (/ (pow r 2) (PI))) (* 1/972 (/ (pow r 2) (PI))))) (pow s 3))) (* 1/6 (/ 1 (* r (PI))))) (+ (* -1/54 (/ r (* (pow s 2) (PI)))) (+ (* 1/108 (/ r (* (pow s 2) (PI)))) (/ 1/18 (* s (PI))))))>
#<alt (/ 1/6 (* r (PI)))>
#<alt (- (* 1/6 (/ 1 (* r (PI)))) (* 1/18 (/ 1 (* s (PI)))))>
#<alt (+ (* -1 (/ (+ (* -1/54 (/ r (* s (PI)))) (+ (* 1/108 (/ r (* s (PI)))) (* 1/18 (/ 1 (PI))))) s)) (* 1/6 (/ 1 (* r (PI)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/972 (/ (pow r 2) (* s (PI)))) (+ (* 1/324 (/ (pow r 2) (* s (PI)))) (* 1/3 (/ (* r (+ (* -1/54 (/ r (PI))) (* 1/108 (/ r (PI))))) s)))) (+ (* -1/54 (/ r (PI))) (* 1/108 (/ r (PI))))) s)) (* 1/18 (/ 1 (PI)))) s)) (* 1/6 (/ 1 (* r (PI)))))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (/ (+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) r)>
#<alt (/ (+ (* r (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)>
#<alt (/ (+ (* 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)>
#<alt (/ (+ (* 1/8 (/ 1 (* (PI) (exp (* 1/3 (/ r s)))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)>
#<alt (/ (+ (* 1/8 (/ 1 (* (PI) (exp (* 1/3 (/ r s)))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)>
#<alt (/ (+ (* 1/8 (/ 1 (* (PI) (exp (* 1/3 (/ r s)))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)>
#<alt (/ (+ (* 1/8 (/ 1 (* (PI) (exp (* 1/3 (/ r s)))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)>
#<alt (/ (+ (* 1/8 (/ 1 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)>
#<alt (/ (+ (* 1/8 (/ 1 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)>
#<alt (/ (+ (* 1/8 (/ 1 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)>
#<alt (/ (+ (* 1/8 (/ 1 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)>
#<alt (+ (* 1/8 (/ 1 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))>
#<alt (+ (* 1/8 (/ 1 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))>
#<alt (+ (* 1/8 (/ 1 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))>
#<alt (+ (* 1/8 (/ 1 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))>
#<alt (- (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* -1/8 (/ (+ (* -1/9 (/ r (PI))) (* 1/18 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI))))>
#<alt (- (+ (* -1/8 (/ (+ (* -1 (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))))) (+ (* -1/2 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI))))) (pow s 3))) (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* -1/8 (/ (+ (* -1/3 (* r (+ (* -1/9 (/ r (PI))) (* 1/18 (/ r (PI)))))) (+ (* -1/54 (/ (pow r 2) (PI))) (* 1/162 (/ (pow r 2) (PI))))) (pow s 3))) (+ (* -1/8 (/ (+ (* -1/9 (/ r (PI))) (* 1/18 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI))))>
#<alt (/ 1/4 (* r (PI)))>
#<alt (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))) (* -1/8 (+ (* -1/9 (/ r (PI))) (* 1/18 (/ r (PI)))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* -1/6 (/ (pow r 2) (PI))) (+ (* 1/2 (/ (pow r 2) (PI))) (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))))))) (* -1/8 (+ (* -1/162 (/ (pow r 2) (PI))) (+ (* 1/54 (/ (pow r 2) (PI))) (* 1/3 (* r (+ (* -1/9 (/ r (PI))) (* 1/18 (/ r (PI)))))))))) s)) (+ (* -1/8 (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))) (* -1/8 (+ (* -1/9 (/ r (PI))) (* 1/18 (/ r (PI))))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))>
#<alt (* -1 (+ (log r) (log (* 6 (PI)))))>
#<alt (+ (* -1 (+ (log r) (log (* 6 (PI))))) (* -1/3 (/ r s)))>
#<alt (+ (* -1 (+ (log r) (log (* 6 (PI))))) (* -1/3 (/ r s)))>
#<alt (+ (* -1 (+ (log r) (log (* 6 (PI))))) (* -1/3 (/ r s)))>
#<alt (* -1 (+ (log (* 6 (* (PI) (exp (* 1/3 (/ r s)))))) (* -1 (log (/ 1 r)))))>
#<alt (* -1 (+ (log (* 6 (* (PI) (exp (* 1/3 (/ r s)))))) (* -1 (log (/ 1 r)))))>
#<alt (* -1 (+ (log (* 6 (* (PI) (exp (* 1/3 (/ r s)))))) (* -1 (log (/ 1 r)))))>
#<alt (* -1 (+ (log (* 6 (* (PI) (exp (* 1/3 (/ r s)))))) (* -1 (log (/ 1 r)))))>
#<alt (* -1 (+ (log (* -6 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* -1 (log (/ -1 r)))))>
#<alt (* -1 (+ (log (* -6 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* -1 (log (/ -1 r)))))>
#<alt (* -1 (+ (log (* -6 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* -1 (log (/ -1 r)))))>
#<alt (* -1 (+ (log (* -6 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* -1 (log (/ -1 r)))))>
#<alt (* -1 (log (* 6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))))>
#<alt (* -1 (log (* 6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))))>
#<alt (* -1 (log (* 6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))))>
#<alt (* -1 (log (* 6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))))>
#<alt (* -1 (log (* 6 (* r (PI)))))>
#<alt (+ (* -1 (log (* 6 (* r (PI))))) (* -1/3 (/ r s)))>
#<alt (+ (* -1 (log (* 6 (* r (PI))))) (+ (* -1/2 (/ (+ (* -1/9 (pow r 2)) (* 1/9 (pow r 2))) (pow s 2))) (* -1/3 (/ r s))))>
#<alt (+ (* -1 (log (* 6 (* r (PI))))) (+ (* -1/2 (/ (+ (* -1/9 (pow r 2)) (* 1/9 (pow r 2))) (pow s 2))) (+ (* -1/3 (/ r s)) (* -1/6 (/ (+ (* -1/9 (pow r 3)) (+ (* 1/27 (pow r 3)) (* 2/27 (pow r 3)))) (pow s 3))))))>
#<alt (* -1 (log (* 6 (* r (PI)))))>
#<alt (+ (* -1 (log (* 6 (* r (PI))))) (* -1/3 (/ r s)))>
#<alt (+ (* -1 (log (* 6 (* r (PI))))) (* -1 (/ (+ (* 1/3 r) (* 1/2 (/ (+ (* -1/9 (pow r 2)) (* 1/9 (pow r 2))) s))) s)))>
#<alt (+ (* -1 (log (* 6 (* r (PI))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/9 (pow r 2)) (* 1/9 (pow r 2)))) (* 1/6 (/ (+ (* -2/27 (pow r 3)) (+ (* -1/27 (pow r 3)) (* 1/9 (pow r 3)))) s))) s)) (* 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 (* 1/3 (/ r 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))))>
#<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 (* 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 (* 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 (/ 1/4 (* r (* s (PI))))>
#<alt (/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)>
#<alt (/ -1/8 (* (pow s 2) (PI)))>
#<alt (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))>
#<alt (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))>
#<alt (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))>
#<alt (/ -1/8 (* (pow s 2) (PI)))>
#<alt (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))>
#<alt (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))>
#<alt (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))>
#<alt (/ -1/8 (* (pow s 2) (PI)))>
#<alt (/ (- (* 1/4 (/ s (* r (PI)))) (* 1/8 (/ 1 (PI)))) (pow s 2))>
#<alt (/ (- (* 1/4 (/ s (* r (PI)))) (* 1/8 (/ 1 (PI)))) (pow s 2))>
#<alt (/ (- (* 1/4 (/ s (* r (PI)))) (* 1/8 (/ 1 (PI)))) (pow s 2))>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) s)>
#<alt (/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) s)>
#<alt (/ 1/4 (* r (* s (PI))))>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))>
#<alt (/ 1/4 (* s (PI)))>
#<alt (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI)))))>
#<alt (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI)))))>
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#<alt (* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))>
#<alt (/ 1/6 (* r (PI)))>
#<alt (- (* 1/6 (/ 1 (* r (PI)))) (* 1/18 (/ 1 (* s (PI)))))>
#<alt (- (+ (* 1/108 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (PI))))) (/ 1/18 (* s (PI))))>
#<alt (- (+ (* -1/972 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/108 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* r (PI)))))) (/ 1/18 (* s (PI))))>
#<alt (/ 1/6 (* r (PI)))>
#<alt (- (* 1/6 (/ 1 (* r (PI)))) (* 1/18 (/ 1 (* s (PI)))))>
#<alt (+ (* -1 (/ (+ (* -1/108 (/ r (* s (PI)))) (* 1/18 (/ 1 (PI)))) s)) (* 1/6 (/ 1 (* r (PI)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/972 (/ (pow r 2) (* s (PI)))) (* 1/108 (/ r (PI)))) s)) (* 1/18 (/ 1 (PI)))) s)) (* 1/6 (/ 1 (* r (PI)))))>
#<alt (+ (log r) (log (* 6 (PI))))>
#<alt (+ (log r) (+ (log (* 6 (PI))) (* 1/3 (/ r s))))>
#<alt (+ (log r) (+ (log (* 6 (PI))) (* 1/3 (/ r s))))>
#<alt (+ (log r) (+ (log (* 6 (PI))) (* 1/3 (/ r s))))>
#<alt (+ (log (* 6 (* (PI) (exp (* 1/3 (/ r s)))))) (* -1 (log (/ 1 r))))>
#<alt (+ (log (* 6 (* (PI) (exp (* 1/3 (/ r s)))))) (* -1 (log (/ 1 r))))>
#<alt (+ (log (* 6 (* (PI) (exp (* 1/3 (/ r s)))))) (* -1 (log (/ 1 r))))>
#<alt (+ (log (* 6 (* (PI) (exp (* 1/3 (/ r s)))))) (* -1 (log (/ 1 r))))>
#<alt (+ (log (* -6 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* -1 (log (/ -1 r))))>
#<alt (+ (log (* -6 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* -1 (log (/ -1 r))))>
#<alt (+ (log (* -6 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* -1 (log (/ -1 r))))>
#<alt (+ (log (* -6 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* -1 (log (/ -1 r))))>
#<alt (log (* 6 (* r (* (PI) (exp (neg (* -1/3 (/ r s))))))))>
#<alt (log (* 6 (* r (* (PI) (exp (neg (* -1/3 (/ r s))))))))>
#<alt (log (* 6 (* r (* (PI) (exp (neg (* -1/3 (/ r s))))))))>
#<alt (log (* 6 (* r (* (PI) (exp (neg (* -1/3 (/ r s))))))))>
#<alt (log (* 6 (* r (PI))))>
#<alt (+ (log (* 6 (* r (PI)))) (* 1/3 (/ r s)))>
#<alt (+ (log (* 6 (* r (PI)))) (+ (* 1/3 (/ r s)) (* 1/2 (/ (+ (* -1/9 (pow r 2)) (* 1/9 (pow r 2))) (pow s 2)))))>
#<alt (+ (log (* 6 (* r (PI)))) (+ (* 1/6 (/ (+ (* -1/9 (pow r 3)) (+ (* 1/27 (pow r 3)) (* 2/27 (pow r 3)))) (pow s 3))) (+ (* 1/3 (/ r s)) (* 1/2 (/ (+ (* -1/9 (pow r 2)) (* 1/9 (pow r 2))) (pow s 2))))))>
#<alt (log (* 6 (* r (PI))))>
#<alt (+ (log (* 6 (* r (PI)))) (* 1/3 (/ r s)))>
#<alt (+ (log (* 6 (* r (PI)))) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/9 (pow r 2)) (* 1/9 (pow r 2))) s)) (* -1/3 r)) s)))>
#<alt (+ (log (* 6 (* r (PI)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -2/27 (pow r 3)) (+ (* -1/27 (pow r 3)) (* 1/9 (pow r 3)))) s)) (* 1/2 (+ (* -1/9 (pow r 2)) (* 1/9 (pow r 2))))) s)) (* -1/3 r)) 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 (neg (* -1/3 (/ r s))))>
#<alt (exp (neg (* -1/3 (/ r s))))>
#<alt (exp (neg (* -1/3 (/ r s))))>
#<alt (exp (neg (* -1/3 (/ r s))))>
#<alt (exp (neg (* -1/3 (/ r s))))>
#<alt (exp (neg (* -1/3 (/ r s))))>
#<alt (exp (neg (* -1/3 (/ r s))))>
#<alt (exp (neg (* -1/3 (/ r s))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (/ r s)))>
#<alt (+ 1 (+ (* 1/18 (/ (pow r 2) (pow s 2))) (* 1/3 (/ r s))))>
#<alt (+ 1 (+ (* 1/162 (/ (pow r 3) (pow s 3))) (+ (* 1/18 (/ (pow r 2) (pow s 2))) (* 1/3 (/ r s)))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (/ r s)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/3 r) (* -1/18 (/ (pow r 2) s))) 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 (* 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 (* 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 (/ r (pow s 3))>
#<alt (/ r (pow s 3))>
#<alt (/ r (pow s 3))>
#<alt (/ r (pow s 3))>
#<alt (/ r (pow s 3))>
#<alt (/ r (pow s 3))>
#<alt (/ r (pow s 3))>
#<alt (/ r (pow s 3))>
#<alt (/ r (pow s 3))>
#<alt (/ r (pow s 3))>
#<alt (/ r (pow s 3))>
#<alt (/ r (pow s 3))>
#<alt (/ r (pow s 3))>
#<alt (/ r (pow s 3))>
#<alt (/ r (pow s 3))>
#<alt (/ r (pow s 3))>
#<alt (/ r (pow s 3))>
#<alt (/ r (pow s 3))>
#<alt (/ r (pow s 3))>
#<alt (/ r (pow s 3))>
#<alt (/ r (pow s 3))>
#<alt (/ r (pow s 3))>
#<alt (/ r (pow s 3))>
#<alt (/ r (pow s 3))>
#<alt (* r (PI))>
#<alt (* r (+ (PI) (/ (* r (PI)) s)))>
#<alt (* r (+ (PI) (* r (+ (* 1/2 (/ (* r (PI)) (pow s 2))) (/ (PI) s)))))>
#<alt (* r (+ (PI) (* r (+ (* r (+ (* 1/6 (/ (* r (PI)) (pow s 3))) (* 1/2 (/ (PI) (pow s 2))))) (/ (PI) s)))))>
#<alt (* 1/6 (/ (* (pow r 4) (PI)) (pow s 3)))>
#<alt (* (pow r 4) (+ (* 1/6 (/ (PI) (pow s 3))) (* 1/2 (/ (PI) (* r (pow s 2))))))>
#<alt (* (pow r 4) (+ (* 1/6 (/ (PI) (pow s 3))) (+ (* 1/2 (/ (PI) (* r (pow s 2)))) (/ (PI) (* (pow r 2) s)))))>
#<alt (* (pow r 4) (+ (* 1/6 (/ (PI) (pow s 3))) (+ (* 1/2 (/ (PI) (* r (pow s 2)))) (+ (/ (PI) (* (pow r 2) s)) (/ (PI) (pow r 3))))))>
#<alt (* 1/6 (/ (* (pow r 4) (PI)) (pow s 3)))>
#<alt (* (pow r 4) (+ (* 1/6 (/ (PI) (pow s 3))) (* 1/2 (/ (PI) (* r (pow s 2))))))>
#<alt (* (pow r 4) (+ (* -1 (/ (+ (* -1 (/ (PI) (* r s))) (* -1/2 (/ (PI) (pow s 2)))) r)) (* 1/6 (/ (PI) (pow s 3)))))>
#<alt (* (pow r 4) (+ (* -1 (/ (+ (* -1 (/ (+ (/ (PI) r) (/ (PI) s)) r)) (* -1/2 (/ (PI) (pow s 2)))) r)) (* 1/6 (/ (PI) (pow s 3)))))>
#<alt (* 1/6 (/ (* (pow r 4) (PI)) (pow s 3)))>
#<alt (/ (+ (* 1/6 (* (pow r 4) (PI))) (* 1/2 (* (pow r 3) (* s (PI))))) (pow s 3))>
#<alt (/ (+ (* 1/6 (* (pow r 4) (PI))) (* s (+ (* 1/2 (* (pow r 3) (PI))) (* (pow r 2) (* s (PI)))))) (pow s 3))>
#<alt (/ (+ (* 1/6 (* (pow r 4) (PI))) (* s (+ (* 1/2 (* (pow r 3) (PI))) (* s (+ (* r (* s (PI))) (* (pow r 2) (PI))))))) (pow s 3))>
#<alt (* r (PI))>
#<alt (+ (* r (PI)) (/ (* (pow r 2) (PI)) s))>
#<alt (+ (* 1/2 (/ (* (pow r 3) (PI)) (pow s 2))) (+ (* r (PI)) (/ (* (pow r 2) (PI)) s)))>
#<alt (+ (* 1/6 (/ (* (pow r 4) (PI)) (pow s 3))) (+ (* 1/2 (/ (* (pow r 3) (PI)) (pow s 2))) (+ (* r (PI)) (/ (* (pow r 2) (PI)) s))))>
#<alt (* r (PI))>
#<alt (+ (* r (PI)) (/ (* (pow r 2) (PI)) s))>
#<alt (+ (* -1 (/ (+ (* -1 (* (pow r 2) (PI))) (* -1/2 (/ (* (pow r 3) (PI)) s))) s)) (* r (PI)))>
#<alt (+ (* -1 (/ (+ (* -1 (* (pow r 2) (PI))) (* -1 (/ (+ (* 1/6 (/ (* (pow r 4) (PI)) s)) (* 1/2 (* (pow r 3) (PI)))) s))) s)) (* r (PI)))>
#<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

150 calls:

TimeVariablePointExpression
231.0ms
r
@inf
(exp (* (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))) -1))
58.0ms
r
@inf
(* (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))) -1)
23.0ms
s
@0
(* (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))) -1)
22.0ms
r
@-inf
(* (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))) -1)
21.0ms
r
@0
(* (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))) -1)

rewrite406.0ms (2.4%)

Memory
40.9MiB live, 833.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 726×*-lowering-*.f32
4 726×*-lowering-*.f64
3 308×pow-lowering-pow.f64
3 308×pow-lowering-pow.f32
3 244×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070366
1388343
23710342
08117326
Stop Event
iter limit
node limit
Counts
28 → 712
Calls
Call 1
Inputs
(exp (* (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))) -1))
(+ (* (exp (* (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))) -1)) 3/4) (/ 1/8 (* (* r (PI)) (exp (/ r s)))))
(* (log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3)))))) -1)
(neg (/ r (* s -3)))
(/ 1/4 (* (* r (PI)) s))
(* (* r (PI)) s)
(* r (PI))
(PI)
(/ (+ (* (/ r (* (PI) (* s s))) -1/8) (/ 1/4 (* (PI) s))) r)
(+ (* (/ r (* (PI) (* s s))) -1/8) (/ 1/4 (* (PI) s)))
(/ r (* (PI) (* s s)))
(* (PI) (* s s))
(+ (* (/ (exp (- 0 (/ r s))) (* r (* s (* (PI) 2)))) 1/4) (/ 1/8 (* (PI) (* r s))))
(/ (exp (- 0 (/ r s))) (* r (* s (* (PI) 2))))
(exp (- 0 (/ r s)))
(- 0 (/ r s))
(+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))
(+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (+ (* r (+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))) 1))))
(/ (+ (* (/ (exp (/ r (* s -3))) (* r (* (PI) 6))) 3/4) (/ 1/8 (* (* r (PI)) (+ (* r (+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))) 1)))) s)
(/ (exp (/ r (* s -3))) (* r (* (PI) 6)))
(log (* (* r (* (PI) 6)) (exp (neg (/ r (* s -3))))))
(exp (neg (/ r (* s -3))))
(* (PI) s)
(* (PI) (* r s))
(* s (* (PI) 2))
(/ r (* s (* s s)))
(* (* r (PI)) (+ (* r (+ (* r (+ (* 1/6 (/ r (* s (* s s)))) (/ 1/2 (* s s)))) (/ 1 s))) 1))
(exp (/ r (* s -3)))
Outputs
(neg.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 (*.f32 r (PI.f32)) #s(literal -6 binary32))))
(neg.f32 (/.f32 (neg.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))))
(exp.f32 (neg.f32 (+.f32 (log.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 r (*.f32 s #s(literal 3 binary32))))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (+.f32 (log.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 r (*.f32 s #s(literal 3 binary32))))))
(pow.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (log.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 r (*.f32 s #s(literal 3 binary32)))))
(pow.f32 (/.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))) (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32)))))) #s(literal -1/2 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32)))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r)))
(/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))))
(/.f32 (neg.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (*.f32 (*.f32 r (PI.f32)) #s(literal -6 binary32)))
(/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r) (*.f32 (PI.f32) #s(literal 6 binary32)))
(/.f32 (neg.f32 (neg.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (neg.f32 (*.f32 (*.f32 r (PI.f32)) #s(literal -6 binary32))))
(/.f32 (neg.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r)) (neg.f32 (*.f32 (PI.f32) #s(literal 6 binary32))))
(/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 (PI.f32) #s(literal 6 binary32))) r)
(/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))) #s(literal 6 binary32))
(/.f32 (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) #s(literal 1 binary32)) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))))
(/.f32 (/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r) (PI.f32)) #s(literal 6 binary32))
(/.f32 (/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r) #s(literal 6 binary32)) (PI.f32))
(*.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))))
(*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32)))))
(*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))))))
(*.f32 (neg.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r (PI.f32)) #s(literal -6 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) r) (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) #s(literal 6 binary32)))))
(*.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32)))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))
(*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) #s(literal 6 binary32))))
(*.f32 (*.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) r))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) r))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) #s(literal 6 binary32))) (pow.f32 (*.f32 r (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (pow.f32 (*.f32 #s(literal 6 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (pow.f32 (/.f32 #s(literal 6 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))) #s(literal -1/2 binary32)) (pow.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))))) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 r)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (fma.f32 (neg.f32 r) (/.f32 #s(literal -1/3 binary32) s) (log.f32 (*.f32 (PI.f32) #s(literal 6 binary32))))))
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(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 r (PI.f32)) (*.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)))) (*.f32 (*.f32 r (PI.f32)) (*.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))))) (*.f32 (*.f32 r (PI.f32)) (*.f32 r (PI.f32)))) (-.f32 (*.f32 (*.f32 r (PI.f32)) (*.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)))) (*.f32 r (PI.f32))))
(/.f32 (*.f32 (*.f32 r (PI.f32)) (+.f32 #s(literal 1 binary32) (pow.f32 (*.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 3 binary32)))) (fma.f32 (*.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))) (*.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))) (-.f32 #s(literal 1 binary32) (*.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))))))
(/.f32 (*.f32 (*.f32 r (PI.f32)) (fma.f32 (*.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))) (*.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))) (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)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.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 3 binary32))) (*.f32 r (PI.f32))) (fma.f32 (*.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))) (*.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))) (-.f32 #s(literal 1 binary32) (*.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))))))
(/.f32 (*.f32 (fma.f32 (*.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))) (*.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)) (*.f32 r (PI.f32))) (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)))
(*.f32 r (*.f32 (PI.f32) (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))))
(*.f32 (PI.f32) (*.f32 r (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))))
(*.f32 (*.f32 r (PI.f32)) (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)))
(*.f32 (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)) (*.f32 r (PI.f32)))
(*.f32 (*.f32 (PI.f32) (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))) r)
(*.f32 (*.f32 (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)) r) (PI.f32))
(exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(exp.f32 (*.f32 (/.f32 r (*.f32 s #s(literal 3 binary32))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 r)) (/.f32 #s(literal -1/3 binary32) s)))
(pow.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32))
(pow.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) #s(literal 1 binary32))
(pow.f32 (exp.f32 r) (/.f32 #s(literal -1/3 binary32) s))
(pow.f32 (E.f32) (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 r (*.f32 s #s(literal 3 binary32))))
(pow.f32 (pow.f32 (exp.f32 r) #s(literal 1 binary32)) (/.f32 #s(literal -1/3 binary32) s))
(pow.f32 (exp.f32 (neg.f32 r)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 3 binary32))))
(pow.f32 (exp.f32 (/.f32 #s(literal -1/3 binary32) s)) r)
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32)))))
(cbrt.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))
(*.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))

simplify530.0ms (3.2%)

Memory
-54.9MiB live, 973.9MiB allocated
Algorithm
egg-herbie
Rules
10 092×accelerator-lowering-fma.f32
10 092×accelerator-lowering-fma.f64
5 818×*-lowering-*.f32
5 818×*-lowering-*.f64
3 840×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09687662
128747306
084667073
Stop Event
iter limit
node limit
Counts
600 → 600
Calls
Call 1
Inputs
(/ 1/6 (* r (PI)))
(/ (+ (* -1/18 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) r)
(/ (+ (* r (- (* 1/108 (/ r (* (pow s 2) (PI)))) (* 1/18 (/ 1 (* s (PI)))))) (* 1/6 (/ 1 (PI)))) r)
(/ (+ (* r (- (* r (+ (* -1/972 (/ r (* (pow s 3) (PI)))) (* 1/108 (/ 1 (* (pow s 2) (PI)))))) (* 1/18 (/ 1 (* s (PI)))))) (* 1/6 (/ 1 (PI)))) r)
(/ 1/6 (* r (* (PI) (exp (* 1/3 (/ r s))))))
(/ 1/6 (* r (* (PI) (exp (* 1/3 (/ r s))))))
(/ 1/6 (* r (* (PI) (exp (* 1/3 (/ r s))))))
(/ 1/6 (* r (* (PI) (exp (* 1/3 (/ r s))))))
(/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))
(/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))
(/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))
(/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))
(/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))
(/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))
(/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))
(/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))
(/ 1/6 (* r (PI)))
(- (* 1/6 (/ 1 (* r (PI)))) (* 1/18 (/ 1 (* s (PI)))))
(- (+ (* -1 (/ (+ (* -1/54 (/ r (PI))) (* 1/108 (/ r (PI)))) (pow s 2))) (* 1/6 (/ 1 (* r (PI))))) (/ 1/18 (* s (PI))))
(- (+ (* -1 (/ (+ (* -1/3 (* r (+ (* -1/54 (/ r (PI))) (* 1/108 (/ r (PI)))))) (+ (* -1/324 (/ (pow r 2) (PI))) (* 1/972 (/ (pow r 2) (PI))))) (pow s 3))) (* 1/6 (/ 1 (* r (PI))))) (+ (* -1/54 (/ r (* (pow s 2) (PI)))) (+ (* 1/108 (/ r (* (pow s 2) (PI)))) (/ 1/18 (* s (PI))))))
(/ 1/6 (* r (PI)))
(- (* 1/6 (/ 1 (* r (PI)))) (* 1/18 (/ 1 (* s (PI)))))
(+ (* -1 (/ (+ (* -1/54 (/ r (* s (PI)))) (+ (* 1/108 (/ r (* s (PI)))) (* 1/18 (/ 1 (PI))))) s)) (* 1/6 (/ 1 (* r (PI)))))
(+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/972 (/ (pow r 2) (* s (PI)))) (+ (* 1/324 (/ (pow r 2) (* s (PI)))) (* 1/3 (/ (* r (+ (* -1/54 (/ r (PI))) (* 1/108 (/ r (PI))))) s)))) (+ (* -1/54 (/ r (PI))) (* 1/108 (/ r (PI))))) s)) (* 1/18 (/ 1 (PI)))) s)) (* 1/6 (/ 1 (* 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)
(/ (+ (* 1/8 (/ 1 (* (PI) (exp (* 1/3 (/ r s)))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/ (+ (* 1/8 (/ 1 (* (PI) (exp (* 1/3 (/ r s)))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/ (+ (* 1/8 (/ 1 (* (PI) (exp (* 1/3 (/ r s)))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/ (+ (* 1/8 (/ 1 (* (PI) (exp (* 1/3 (/ r s)))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/ (+ (* 1/8 (/ 1 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/ (+ (* 1/8 (/ 1 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/ (+ (* 1/8 (/ 1 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/ (+ (* 1/8 (/ 1 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(+ (* 1/8 (/ 1 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))
(+ (* 1/8 (/ 1 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))
(+ (* 1/8 (/ 1 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))
(+ (* 1/8 (/ 1 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))
(/ 1/4 (* r (PI)))
(- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(- (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* -1/8 (/ (+ (* -1/9 (/ r (PI))) (* 1/18 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI))))
(- (+ (* -1/8 (/ (+ (* -1 (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))))) (+ (* -1/2 (/ (pow r 2) (PI))) (* 1/6 (/ (pow r 2) (PI))))) (pow s 3))) (+ (* -1/8 (/ (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))) (pow s 2))) (+ (* -1/8 (/ (+ (* -1/3 (* r (+ (* -1/9 (/ r (PI))) (* 1/18 (/ r (PI)))))) (+ (* -1/54 (/ (pow r 2) (PI))) (* 1/162 (/ (pow r 2) (PI))))) (pow s 3))) (+ (* -1/8 (/ (+ (* -1/9 (/ r (PI))) (* 1/18 (/ r (PI)))) (pow s 2))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI))))
(/ 1/4 (* r (PI)))
(- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))) (* -1/8 (+ (* -1/9 (/ r (PI))) (* 1/18 (/ r (PI)))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* -1/6 (/ (pow r 2) (PI))) (+ (* 1/2 (/ (pow r 2) (PI))) (* r (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI)))))))) (* -1/8 (+ (* -1/162 (/ (pow r 2) (PI))) (+ (* 1/54 (/ (pow r 2) (PI))) (* 1/3 (* r (+ (* -1/9 (/ r (PI))) (* 1/18 (/ r (PI)))))))))) s)) (+ (* -1/8 (+ (* -1 (/ r (PI))) (* 1/2 (/ r (PI))))) (* -1/8 (+ (* -1/9 (/ r (PI))) (* 1/18 (/ r (PI))))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI)))))
(* -1 (+ (log r) (log (* 6 (PI)))))
(+ (* -1 (+ (log r) (log (* 6 (PI))))) (* -1/3 (/ r s)))
(+ (* -1 (+ (log r) (log (* 6 (PI))))) (* -1/3 (/ r s)))
(+ (* -1 (+ (log r) (log (* 6 (PI))))) (* -1/3 (/ r s)))
(* -1 (+ (log (* 6 (* (PI) (exp (* 1/3 (/ r s)))))) (* -1 (log (/ 1 r)))))
(* -1 (+ (log (* 6 (* (PI) (exp (* 1/3 (/ r s)))))) (* -1 (log (/ 1 r)))))
(* -1 (+ (log (* 6 (* (PI) (exp (* 1/3 (/ r s)))))) (* -1 (log (/ 1 r)))))
(* -1 (+ (log (* 6 (* (PI) (exp (* 1/3 (/ r s)))))) (* -1 (log (/ 1 r)))))
(* -1 (+ (log (* -6 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* -1 (log (/ -1 r)))))
(* -1 (+ (log (* -6 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* -1 (log (/ -1 r)))))
(* -1 (+ (log (* -6 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* -1 (log (/ -1 r)))))
(* -1 (+ (log (* -6 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* -1 (log (/ -1 r)))))
(* -1 (log (* 6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))))
(* -1 (log (* 6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))))
(* -1 (log (* 6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))))
(* -1 (log (* 6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))))
(* -1 (log (* 6 (* r (PI)))))
(+ (* -1 (log (* 6 (* r (PI))))) (* -1/3 (/ r s)))
(+ (* -1 (log (* 6 (* r (PI))))) (+ (* -1/2 (/ (+ (* -1/9 (pow r 2)) (* 1/9 (pow r 2))) (pow s 2))) (* -1/3 (/ r s))))
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(* -1 (log (* 6 (* r (PI)))))
(+ (* -1 (log (* 6 (* r (PI))))) (* -1/3 (/ r s)))
(+ (* -1 (log (* 6 (* r (PI))))) (* -1 (/ (+ (* 1/3 r) (* 1/2 (/ (+ (* -1/9 (pow r 2)) (* 1/9 (pow r 2))) s))) s)))
(+ (* -1 (log (* 6 (* r (PI))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/9 (pow r 2)) (* 1/9 (pow r 2)))) (* 1/6 (/ (+ (* -2/27 (pow r 3)) (+ (* -1/27 (pow r 3)) (* 1/9 (pow r 3)))) s))) 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))
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(* 1/3 (/ r s))
(* 1/3 (/ r s))
(* 1/3 (/ r s))
(* 1/3 (/ 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))))
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(/ 1/4 (* r (* s (PI))))
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(/ 1/4 (* r (* s (PI))))
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(/ 1/4 (* r (* s (PI))))
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(* r (* s (PI)))
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(/ 1/4 (* r (* s (PI))))
(/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ -1/8 (* (pow s 2) (PI)))
(- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))
(- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))
(- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))
(/ -1/8 (* (pow s 2) (PI)))
(- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))
(- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))
(- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))
(/ -1/8 (* (pow s 2) (PI)))
(/ (- (* 1/4 (/ s (* r (PI)))) (* 1/8 (/ 1 (PI)))) (pow s 2))
(/ (- (* 1/4 (/ s (* r (PI)))) (* 1/8 (/ 1 (PI)))) (pow s 2))
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(log (* 6 (* r (* (PI) (exp (neg (* -1/3 (/ r s))))))))
(log (* 6 (* r (* (PI) (exp (neg (* -1/3 (/ r s))))))))
(log (* 6 (* r (PI))))
(+ (log (* 6 (* r (PI)))) (* 1/3 (/ r s)))
(+ (log (* 6 (* r (PI)))) (+ (* 1/3 (/ r s)) (* 1/2 (/ (+ (* -1/9 (pow r 2)) (* 1/9 (pow r 2))) (pow s 2)))))
(+ (log (* 6 (* r (PI)))) (+ (* 1/6 (/ (+ (* -1/9 (pow r 3)) (+ (* 1/27 (pow r 3)) (* 2/27 (pow r 3)))) (pow s 3))) (+ (* 1/3 (/ r s)) (* 1/2 (/ (+ (* -1/9 (pow r 2)) (* 1/9 (pow r 2))) (pow s 2))))))
(log (* 6 (* r (PI))))
(+ (log (* 6 (* r (PI)))) (* 1/3 (/ r s)))
(+ (log (* 6 (* r (PI)))) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/9 (pow r 2)) (* 1/9 (pow r 2))) s)) (* -1/3 r)) s)))
(+ (log (* 6 (* r (PI)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -2/27 (pow r 3)) (+ (* -1/27 (pow r 3)) (* 1/9 (pow r 3)))) s)) (* 1/2 (+ (* -1/9 (pow r 2)) (* 1/9 (pow r 2))))) s)) (* -1/3 r)) s)))
1
(+ 1 (* 1/3 (/ r s)))
(+ 1 (* r (+ (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* r (+ (* r (+ (* 1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(exp (* 1/3 (/ r s)))
(exp (* 1/3 (/ r s)))
(exp (* 1/3 (/ r s)))
(exp (* 1/3 (/ r s)))
(exp (neg (* -1/3 (/ r s))))
(exp (neg (* -1/3 (/ r s))))
(exp (neg (* -1/3 (/ r s))))
(exp (neg (* -1/3 (/ r s))))
(exp (neg (* -1/3 (/ r s))))
(exp (neg (* -1/3 (/ r s))))
(exp (neg (* -1/3 (/ r s))))
(exp (neg (* -1/3 (/ r s))))
1
(+ 1 (* 1/3 (/ r s)))
(+ 1 (+ (* 1/18 (/ (pow r 2) (pow s 2))) (* 1/3 (/ r s))))
(+ 1 (+ (* 1/162 (/ (pow r 3) (pow s 3))) (+ (* 1/18 (/ (pow r 2) (pow s 2))) (* 1/3 (/ r s)))))
1
(+ 1 (* 1/3 (/ r s)))
(+ 1 (* -1 (/ (+ (* -1/3 r) (* -1/18 (/ (pow r 2) s))) 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))
(* 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)))
(* 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)))
(/ r (pow s 3))
(/ r (pow s 3))
(/ r (pow s 3))
(/ r (pow s 3))
(/ r (pow s 3))
(/ r (pow s 3))
(/ r (pow s 3))
(/ r (pow s 3))
(/ r (pow s 3))
(/ r (pow s 3))
(/ r (pow s 3))
(/ r (pow s 3))
(/ r (pow s 3))
(/ r (pow s 3))
(/ r (pow s 3))
(/ r (pow s 3))
(/ r (pow s 3))
(/ r (pow s 3))
(/ r (pow s 3))
(/ r (pow s 3))
(/ r (pow s 3))
(/ r (pow s 3))
(/ r (pow s 3))
(/ r (pow s 3))
(* r (PI))
(* r (+ (PI) (/ (* r (PI)) s)))
(* r (+ (PI) (* r (+ (* 1/2 (/ (* r (PI)) (pow s 2))) (/ (PI) s)))))
(* r (+ (PI) (* r (+ (* r (+ (* 1/6 (/ (* r (PI)) (pow s 3))) (* 1/2 (/ (PI) (pow s 2))))) (/ (PI) s)))))
(* 1/6 (/ (* (pow r 4) (PI)) (pow s 3)))
(* (pow r 4) (+ (* 1/6 (/ (PI) (pow s 3))) (* 1/2 (/ (PI) (* r (pow s 2))))))
(* (pow r 4) (+ (* 1/6 (/ (PI) (pow s 3))) (+ (* 1/2 (/ (PI) (* r (pow s 2)))) (/ (PI) (* (pow r 2) s)))))
(* (pow r 4) (+ (* 1/6 (/ (PI) (pow s 3))) (+ (* 1/2 (/ (PI) (* r (pow s 2)))) (+ (/ (PI) (* (pow r 2) s)) (/ (PI) (pow r 3))))))
(* 1/6 (/ (* (pow r 4) (PI)) (pow s 3)))
(* (pow r 4) (+ (* 1/6 (/ (PI) (pow s 3))) (* 1/2 (/ (PI) (* r (pow s 2))))))
(* (pow r 4) (+ (* -1 (/ (+ (* -1 (/ (PI) (* r s))) (* -1/2 (/ (PI) (pow s 2)))) r)) (* 1/6 (/ (PI) (pow s 3)))))
(* (pow r 4) (+ (* -1 (/ (+ (* -1 (/ (+ (/ (PI) r) (/ (PI) s)) r)) (* -1/2 (/ (PI) (pow s 2)))) r)) (* 1/6 (/ (PI) (pow s 3)))))
(* 1/6 (/ (* (pow r 4) (PI)) (pow s 3)))
(/ (+ (* 1/6 (* (pow r 4) (PI))) (* 1/2 (* (pow r 3) (* s (PI))))) (pow s 3))
(/ (+ (* 1/6 (* (pow r 4) (PI))) (* s (+ (* 1/2 (* (pow r 3) (PI))) (* (pow r 2) (* s (PI)))))) (pow s 3))
(/ (+ (* 1/6 (* (pow r 4) (PI))) (* s (+ (* 1/2 (* (pow r 3) (PI))) (* s (+ (* r (* s (PI))) (* (pow r 2) (PI))))))) (pow s 3))
(* r (PI))
(+ (* r (PI)) (/ (* (pow r 2) (PI)) s))
(+ (* 1/2 (/ (* (pow r 3) (PI)) (pow s 2))) (+ (* r (PI)) (/ (* (pow r 2) (PI)) s)))
(+ (* 1/6 (/ (* (pow r 4) (PI)) (pow s 3))) (+ (* 1/2 (/ (* (pow r 3) (PI)) (pow s 2))) (+ (* r (PI)) (/ (* (pow r 2) (PI)) s))))
(* r (PI))
(+ (* r (PI)) (/ (* (pow r 2) (PI)) s))
(+ (* -1 (/ (+ (* -1 (* (pow r 2) (PI))) (* -1/2 (/ (* (pow r 3) (PI)) s))) s)) (* r (PI)))
(+ (* -1 (/ (+ (* -1 (* (pow r 2) (PI))) (* -1 (/ (+ (* 1/6 (/ (* (pow r 4) (PI)) s)) (* 1/2 (* (pow r 3) (PI)))) s))) s)) (* r (PI)))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
(exp (* -1/3 (/ r s)))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
1
(+ 1 (* -1/3 (/ r s)))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
Outputs
(/ 1/6 (* r (PI)))
(/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))
(/ (+ (* -1/18 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) r)
(/.f32 (fma.f32 #s(literal -1/18 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) r)
(/ (+ (* r (- (* 1/108 (/ r (* (pow s 2) (PI)))) (* 1/18 (/ 1 (* s (PI)))))) (* 1/6 (/ 1 (PI)))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/108 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/18 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/6 binary32) (PI.f32))) r)
(/ (+ (* r (- (* r (+ (* -1/972 (/ r (* (pow s 3) (PI)))) (* 1/108 (/ 1 (* (pow s 2) (PI)))))) (* 1/18 (/ 1 (* s (PI)))))) (* 1/6 (/ 1 (PI)))) r)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/972 binary32) (/.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/108 binary32) (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal -1/18 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/6 binary32) (PI.f32))) r)
(/ 1/6 (* r (* (PI) (exp (* 1/3 (/ r s))))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s))))
(/ 1/6 (* r (* (PI) (exp (* 1/3 (/ r s))))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s))))
(/ 1/6 (* r (* (PI) (exp (* 1/3 (/ r s))))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s))))
(/ 1/6 (* r (* (PI) (exp (* 1/3 (/ r s))))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s))))
(/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s))))
(/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s))))
(/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s))))
(/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s))))
(/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s))))
(/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s))))
(/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s))))
(/ 1/6 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))
(/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s))))
(/ 1/6 (* r (PI)))
(/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))
(- (* 1/6 (/ 1 (* r (PI)))) (* 1/18 (/ 1 (* s (PI)))))
(+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/18 binary32) (*.f32 (PI.f32) s)))
(- (+ (* -1 (/ (+ (* -1/54 (/ r (PI))) (* 1/108 (/ r (PI)))) (pow s 2))) (* 1/6 (/ 1 (* r (PI))))) (/ 1/18 (* s (PI))))
(+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/108 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/18 binary32) (*.f32 (PI.f32) s))))
(- (+ (* -1 (/ (+ (* -1/3 (* r (+ (* -1/54 (/ r (PI))) (* 1/108 (/ r (PI)))))) (+ (* -1/324 (/ (pow r 2) (PI))) (* 1/972 (/ (pow r 2) (PI))))) (pow s 3))) (* 1/6 (/ 1 (* r (PI))))) (+ (* -1/54 (/ r (* (pow s 2) (PI)))) (+ (* 1/108 (/ r (* (pow s 2) (PI)))) (/ 1/18 (* s (PI))))))
(-.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32))) (/.f32 (fma.f32 r (*.f32 #s(literal -1/3 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32))) (/.f32 (*.f32 (*.f32 r r) #s(literal -1/486 binary32)) (PI.f32))) (*.f32 s (*.f32 s s)))) (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal -1/108 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 (PI.f32) s))))
(/ 1/6 (* r (PI)))
(/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))
(- (* 1/6 (/ 1 (* r (PI)))) (* 1/18 (/ 1 (* s (PI)))))
(+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/18 binary32) (*.f32 (PI.f32) s)))
(+ (* -1 (/ (+ (* -1/54 (/ r (* s (PI)))) (+ (* 1/108 (/ r (* s (PI)))) (* 1/18 (/ 1 (PI))))) s)) (* 1/6 (/ 1 (* r (PI)))))
(-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32))) (/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal -1/108 binary32) (/.f32 #s(literal 1/18 binary32) (PI.f32))) s))
(+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/972 (/ (pow r 2) (* s (PI)))) (+ (* 1/324 (/ (pow r 2) (* s (PI)))) (* 1/3 (/ (* r (+ (* -1/54 (/ r (PI))) (* 1/108 (/ r (PI))))) s)))) (+ (* -1/54 (/ r (PI))) (* 1/108 (/ r (PI))))) s)) (* 1/18 (/ 1 (PI)))) s)) (* 1/6 (/ 1 (* r (PI)))))
(-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32))) (/.f32 (-.f32 (/.f32 #s(literal 1/18 binary32) (PI.f32)) (/.f32 (fma.f32 #s(literal 1/108 binary32) (/.f32 r (PI.f32)) (fma.f32 (/.f32 (*.f32 r r) (*.f32 (PI.f32) s)) #s(literal 1/486 binary32) (*.f32 (*.f32 r #s(literal 1/3 binary32)) (/.f32 (*.f32 (/.f32 r (PI.f32)) #s(literal -1/108 binary32)) s)))) s)) s))
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(/ (+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) r)
(/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI)))) r)
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) 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)
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/4 binary32) (PI.f32))) r)
(/ (+ (* 1/8 (/ 1 (* (PI) (exp (* 1/3 (/ r s)))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s))))) r)
(/ (+ (* 1/8 (/ 1 (* (PI) (exp (* 1/3 (/ r s)))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s))))) r)
(/ (+ (* 1/8 (/ 1 (* (PI) (exp (* 1/3 (/ r s)))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s))))) r)
(/ (+ (* 1/8 (/ 1 (* (PI) (exp (* 1/3 (/ r s)))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s))))) r)
(/ (+ (* 1/8 (/ 1 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s))))) r)
(/ (+ (* 1/8 (/ 1 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s))))) r)
(/ (+ (* 1/8 (/ 1 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s))))) r)
(/ (+ (* 1/8 (/ 1 (* (PI) (exp (neg (* -1/3 (/ r s))))))) (* 1/8 (/ 1 (* (PI) (exp (/ r s)))))) r)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s))))) r)
(+ (* 1/8 (/ 1 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s)))))
(+ (* 1/8 (/ 1 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s)))))
(+ (* 1/8 (/ 1 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s)))))
(+ (* 1/8 (/ 1 (* r (* (PI) (exp (neg (* -1/3 (/ r s)))))))) (* 1/8 (/ 1 (* r (* (PI) (exp (/ r s)))))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 (*.f32 r #s(literal 1/3 binary32)) s)))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s)))))
(/ 1/4 (* r (PI)))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))
(- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI)))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s)))
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(*.f32 (pow.f32 r #s(literal 4 binary32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 r (*.f32 s s)))))
(* (pow r 4) (+ (* 1/6 (/ (PI) (pow s 3))) (+ (* 1/2 (/ (PI) (* r (pow s 2)))) (/ (PI) (* (pow r 2) s)))))
(*.f32 (pow.f32 r #s(literal 4 binary32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) (*.f32 s (*.f32 s s))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) (*.f32 r (*.f32 s s))) (/.f32 (PI.f32) (*.f32 r (*.f32 r s))))))
(* (pow r 4) (+ (* 1/6 (/ (PI) (pow s 3))) (+ (* 1/2 (/ (PI) (* r (pow s 2)))) (+ (/ (PI) (* (pow r 2) s)) (/ (PI) (pow r 3))))))
(*.f32 (pow.f32 r #s(literal 4 binary32)) (+.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) (*.f32 s (*.f32 s s))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) (*.f32 r (*.f32 s s))) (/.f32 (PI.f32) (*.f32 r (*.f32 r s))))) (/.f32 (PI.f32) (*.f32 r (*.f32 r r)))))
(* 1/6 (/ (* (pow r 4) (PI)) (pow s 3)))
(/.f32 (*.f32 (PI.f32) (*.f32 (pow.f32 r #s(literal 4 binary32)) #s(literal 1/6 binary32))) (*.f32 s (*.f32 s s)))
(* (pow r 4) (+ (* 1/6 (/ (PI) (pow s 3))) (* 1/2 (/ (PI) (* r (pow s 2))))))
(*.f32 (pow.f32 r #s(literal 4 binary32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 r (*.f32 s s)))))
(* (pow r 4) (+ (* -1 (/ (+ (* -1 (/ (PI) (* r s))) (* -1/2 (/ (PI) (pow s 2)))) r)) (* 1/6 (/ (PI) (pow s 3)))))
(*.f32 (pow.f32 r #s(literal 4 binary32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) (*.f32 s (*.f32 s s))) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (PI.f32) (*.f32 s s))) (/.f32 (PI.f32) (*.f32 r s))) (neg.f32 r))))
(* (pow r 4) (+ (* -1 (/ (+ (* -1 (/ (+ (/ (PI) r) (/ (PI) s)) r)) (* -1/2 (/ (PI) (pow s 2)))) r)) (* 1/6 (/ (PI) (pow s 3)))))
(*.f32 (pow.f32 r #s(literal 4 binary32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (PI.f32) (*.f32 s (*.f32 s s))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (PI.f32) (*.f32 s s)) (/.f32 (+.f32 (/.f32 (PI.f32) s) (/.f32 (PI.f32) r)) (neg.f32 r))) (neg.f32 r))))
(* 1/6 (/ (* (pow r 4) (PI)) (pow s 3)))
(/.f32 (*.f32 (PI.f32) (*.f32 (pow.f32 r #s(literal 4 binary32)) #s(literal 1/6 binary32))) (*.f32 s (*.f32 s s)))
(/ (+ (* 1/6 (* (pow r 4) (PI))) (* 1/2 (* (pow r 3) (* s (PI))))) (pow s 3))
(/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (pow.f32 r #s(literal 4 binary32))) (*.f32 s (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 r (*.f32 r r)))))) (*.f32 s (*.f32 s s)))
(/ (+ (* 1/6 (* (pow r 4) (PI))) (* s (+ (* 1/2 (* (pow r 3) (PI))) (* (pow r 2) (* s (PI)))))) (pow s 3))
(/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (pow.f32 r #s(literal 4 binary32))) (*.f32 s (*.f32 (PI.f32) (fma.f32 #s(literal 1/2 binary32) (*.f32 r (*.f32 r r)) (*.f32 r (*.f32 r s)))))) (*.f32 s (*.f32 s s)))
(/ (+ (* 1/6 (* (pow r 4) (PI))) (* s (+ (* 1/2 (* (pow r 3) (PI))) (* s (+ (* r (* s (PI))) (* (pow r 2) (PI))))))) (pow s 3))
(/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (pow.f32 r #s(literal 4 binary32))) (*.f32 s (fma.f32 s (*.f32 (PI.f32) (fma.f32 r s (*.f32 r r))) (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 r (*.f32 r r))))))) (*.f32 s (*.f32 s s)))
(* r (PI))
(*.f32 r (PI.f32))
(+ (* r (PI)) (/ (* (pow r 2) (PI)) s))
(*.f32 r (fma.f32 r (/.f32 (PI.f32) s) (PI.f32)))
(+ (* 1/2 (/ (* (pow r 3) (PI)) (pow s 2))) (+ (* r (PI)) (/ (* (pow r 2) (PI)) s)))
(fma.f32 r (fma.f32 r (/.f32 (PI.f32) s) (PI.f32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 r (*.f32 r r)))) (*.f32 s s)))
(+ (* 1/6 (/ (* (pow r 4) (PI)) (pow s 3))) (+ (* 1/2 (/ (* (pow r 3) (PI)) (pow s 2))) (+ (* r (PI)) (/ (* (pow r 2) (PI)) s))))
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (PI.f32) (pow.f32 r #s(literal 4 binary32))) (*.f32 s (*.f32 s s))) (fma.f32 r (fma.f32 r (/.f32 (PI.f32) s) (PI.f32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 r (*.f32 r r)))) (*.f32 s s))))
(* r (PI))
(*.f32 r (PI.f32))
(+ (* r (PI)) (/ (* (pow r 2) (PI)) s))
(*.f32 r (fma.f32 r (/.f32 (PI.f32) s) (PI.f32)))
(+ (* -1 (/ (+ (* -1 (* (pow r 2) (PI))) (* -1/2 (/ (* (pow r 3) (PI)) s))) s)) (* r (PI)))
(fma.f32 r (PI.f32) (/.f32 (fma.f32 (PI.f32) (*.f32 (neg.f32 r) r) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 r (*.f32 r r)))) s)) (neg.f32 s)))
(+ (* -1 (/ (+ (* -1 (* (pow r 2) (PI))) (* -1 (/ (+ (* 1/6 (/ (* (pow r 4) (PI)) s)) (* 1/2 (* (pow r 3) (PI)))) s))) s)) (* r (PI)))
(fma.f32 r (PI.f32) (/.f32 (neg.f32 (fma.f32 r (*.f32 r (PI.f32)) (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (/.f32 (pow.f32 r #s(literal 4 binary32)) s)) (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 r (*.f32 r r))))) s))) (neg.f32 s)))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 1 binary32))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(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))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
(exp (* -1/3 (/ r s)))
(exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 1 binary32))
(+ 1 (+ (* -1/3 (/ r s)) (* 1/18 (/ (pow r 2) (pow s 2)))))
(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))
(+ 1 (+ (* -1/3 (/ r s)) (+ (* -1/162 (/ (pow r 3) (pow s 3))) (* 1/18 (/ (pow r 2) (pow s 2))))))
(+.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 (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r))) (*.f32 s (*.f32 s s))))
1
#s(literal 1 binary32)
(+ 1 (* -1/3 (/ r s)))
(fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (*.f32 #s(literal -1/18 binary32) (/.f32 (*.f32 r r) s))) s))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) s)) (* 1/18 (pow r 2))) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (/.f32 (*.f32 #s(literal -1/162 binary32) (*.f32 r (*.f32 r r))) s)) (neg.f32 s))) s))

eval369.0ms (2.2%)

Memory
22.9MiB live, 406.8MiB allocated
Compiler

Compiled 54 263 to 5 160 computations (90.5% saved)

prune498.0ms (3%)

Memory
16.8MiB live, 580.6MiB allocated
Pruning

90 alts after pruning (85 fresh and 5 done)

PrunedKeptTotal
New1 598241 622
Fresh246185
Picked325
Done033
Total1 625901 715
Accuracy
100.0%
Counts
1 715 → 90
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.7%
(fma.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r s)) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
96.7%
(fma.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
9.1%
(/.f32 (fma.f32 (fma.f32 r (fma.f32 #s(literal -1/972 binary32) (/.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/108 binary32) (*.f32 (PI.f32) (*.f32 s s)))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/18 binary32) (*.f32 (PI.f32) s)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
9.1%
(/.f32 (fma.f32 (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
9.6%
(/.f32 (fma.f32 (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
11.0%
(/.f32 (fma.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 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
11.0%
(/.f32 (fma.f32 (/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 1/108 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/18 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/6 binary32) (PI.f32))) r) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
9.7%
(/.f32 (fma.f32 (/.f32 (fma.f32 r (/.f32 #s(literal -1/3 binary32) s) #s(literal 1 binary32)) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
8.7%
(/.f32 (fma.f32 (/.f32 (/.f32 r (*.f32 (PI.f32) s)) s) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
99.5%
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
8.7%
(/.f32 (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
8.7%
(/.f32 (fma.f32 (/.f32 r (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
99.5%
(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32)))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
9.7%
(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
9.7%
(/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
9.7%
(/.f32 (fma.f32 (+.f32 (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))) #s(literal -1/972 binary32) (/.f32 #s(literal 1/108 binary32) (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal -1/18 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
9.7%
(/.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/18 binary32) (*.f32 (PI.f32) s))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
99.3%
(/.f32 (fma.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
61.5%
(/.f32 (fma.f32 (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal -1/4 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))))
99.4%
(/.f32 (fma.f32 (exp.f32 (-.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (log.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
8.8%
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/72 binary32) (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
8.8%
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/54 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/12 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 3/2 binary32)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
10.2%
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
8.6%
(/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (*.f32 s s))
9.0%
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r #s(literal -4/3 binary32)) s) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
55.5%
(/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 (PI.f32) s)) (/.f32 (fma.f32 #s(literal 3/4 binary32) (/.f32 (*.f32 s s) (PI.f32)) (/.f32 (*.f32 #s(literal -9/4 binary32) (*.f32 s (*.f32 s s))) (*.f32 r (PI.f32)))) (neg.f32 (*.f32 r (*.f32 r r))))) (neg.f32 r))
9.0%
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
99.4%
(/.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) (*.f32 r (*.f32 #s(literal 3/4 binary32) (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32))))))) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
99.4%
(/.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 (PI.f32) #s(literal 6 binary32)))) (*.f32 r s))
9.0%
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s) r)
99.3%
(/.f32 (/.f32 (/.f32 (fma.f32 s (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32))))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32)))) (*.f32 r s)) (*.f32 r (PI.f32))) #s(literal 6 binary32))
9.3%
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
9.3%
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s)
9.3%
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
9.3%
(/.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) r) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
9.3%
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
9.3%
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) s)
9.3%
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (PI.f32))
9.3%
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 r s))
9.3%
(/.f32 (/.f32 #s(literal 1/4 binary32) s) (*.f32 r (PI.f32)))
9.3%
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s))
10.2%
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 (-.f32 r (/.f32 (*.f32 #s(literal 5/12 binary32) (*.f32 r r)) s)) s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
9.0%
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 r s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
10.2%
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 r #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 r (*.f32 (*.f32 r r) #s(literal 14/81 binary32))) s) (*.f32 (*.f32 r r) #s(literal 5/72 binary32))) (neg.f32 s))) s)) (*.f32 r (*.f32 s (PI.f32))))
10.2%
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 r (*.f32 r #s(literal 5/9 binary32))) s) (*.f32 r #s(literal 1/6 binary32))) s)) (*.f32 r (*.f32 s (PI.f32))))
6.7%
(/.f32 (+.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))) #s(literal -1/48 binary32) (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) s))) s)
10.0%
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s)
8.8%
(/.f32 (+.f32 (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
8.1%
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (PI.f32) s)) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/16 binary32))) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s)
9.0%
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) s)
99.4%
(/.f32 (*.f32 (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))) #s(literal 1/8 binary32)) (*.f32 r (*.f32 s (PI.f32))))
99.4%
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) s)
99.4%
(/.f32 (*.f32 #s(literal 3/4 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
10.2%
(/.f32 (*.f32 #s(literal 1/8 binary32) (fma.f32 r (/.f32 #s(literal -4/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 5/9 binary32) (*.f32 s s)) #s(literal 2 binary32)))) (*.f32 r (*.f32 s (PI.f32))))
92.3%
(/.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (PI.f32)))) s)
10.2%
(/.f32 (*.f32 #s(literal 1/8 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 r #s(literal 4/3 binary32) (/.f32 (fma.f32 #s(literal -14/81 binary32) (*.f32 r (*.f32 r (/.f32 r s))) (*.f32 r (*.f32 r #s(literal 5/9 binary32)))) (neg.f32 s))) s))) (*.f32 r (*.f32 s (PI.f32))))
9.6%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
11.1%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.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)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
98.3%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
99.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
9.6%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (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 r (PI.f32))))) s)
11.1%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (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 r (PI.f32))))) s)
98.2%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32)) (*.f32 r (PI.f32))))) s)
99.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))))) s)
99.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 (*.f32 r s) (PI.f32)))
99.4%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
96.7%
(/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 r (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) (*.f32 (PI.f32) (*.f32 s (*.f32 r r))))
97.5%
(/.f32 (neg.f32 (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 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 r (*.f32 #s(literal 1/4 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))))) (*.f32 r (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32)))))
9.3%
(/.f32 #s(literal 3/2 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
9.3%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (PI.f32)) (/.f32 #s(literal 1/4 binary32) r)))
9.3%
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))))
9.3%
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))))
9.0%
(/.f32 #s(literal 1 binary32) (/.f32 r (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))))))
9.3%
(/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 (PI.f32) s) #s(literal 4 binary32))))
9.3%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) s))
9.3%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
9.3%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s))
9.3%
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
9.3%
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
9.3%
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32))))
8.6%
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 (PI.f32) s))))
8.9%
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 (PI.f32) s))))
10.2%
(+.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)))))
99.4%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (*.f32 r (PI.f32)) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 8 binary32))) #s(literal -1 binary32))) s))
8.3%
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))))
9.3%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r))
9.3%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r s)) (/.f32 #s(literal 1/4 binary32) (PI.f32)))
9.3%
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
92.3%
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (PI.f32) s))))
99.2%
(exp.f32 (*.f32 (log.f32 (/.f32 s (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))) #s(literal -1 binary32)))
Compiler

Compiled 6 828 to 2 320 computations (66% saved)

regimes243.0ms (1.5%)

Memory
-38.7MiB live, 205.7MiB allocated
Counts
171 → 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 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 (PI.f32) s) #s(literal 4 binary32))))
(/.f32 #s(literal 3/2 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s))
(/.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 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(*.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 #s(literal 1 binary32) (*.f32 r s)) (/.f32 #s(literal 1/4 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s)
(/.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 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 r s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) r) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r #s(literal -4/3 binary32)) s) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 (PI.f32) s))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 (PI.f32) s))))
(/.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 (*.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 (+.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 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) s)
(/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (*.f32 s s))
(/.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)
(/.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 (PI.f32) (*.f32 s s))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s) r)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
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(/.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) (*.f32 r (*.f32 #s(literal 3/4 binary32) (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32))))))) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 (/.f32 (fma.f32 s (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32))))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32)))) (*.f32 r s)) (*.f32 r (PI.f32))) #s(literal 6 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal -1/4 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 #s(literal 1 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 (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 (PI.f32) #s(literal 6 binary32)))) (*.f32 r s))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32)) (*.f32 r (PI.f32))))) s)
(/.f32 (fma.f32 (exp.f32 (-.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (log.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
(/.f32 (fma.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))) (*.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))))) (*.f32 #s(literal 1/4 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) (*.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))))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(exp.f32 (*.f32 (log.f32 (/.f32 s (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))) #s(literal -1 binary32)))
(/.f32 (fma.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) 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 (log.f32 (*.f32 (*.f32 (*.f32 r (PI.f32)) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 8 binary32))) #s(literal -1 binary32))) s))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (*.f32 #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 binary32))))
(/.f32 (fma.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))))) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
(/.f32 (-.f32 (pow.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) r))
(*.f32 (-.f32 (pow.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (-.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) r)))
Outputs
(/.f32 (fma.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
Calls

3 calls:

59.0ms
s
57.0ms
(+.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)))
42.0ms
r
Results
AccuracySegmentsBranch
99.5%1s
99.5%1r
99.5%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)

regimes231.0ms (1.4%)

Memory
32.8MiB live, 222.8MiB allocated
Counts
165 → 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 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 (PI.f32) s) #s(literal 4 binary32))))
(/.f32 #s(literal 3/2 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s))
(/.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 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(*.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 #s(literal 1 binary32) (*.f32 r s)) (/.f32 #s(literal 1/4 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s)
(/.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 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 r s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) r) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r #s(literal -4/3 binary32)) s) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 (PI.f32) s))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 (PI.f32) s))))
(/.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 (*.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 (+.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 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) s)
(/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (*.f32 s s))
(/.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)
(/.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 (PI.f32) (*.f32 s s))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s) r)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (fma.f32 (/.f32 r (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/.f32 (fma.f32 (/.f32 (/.f32 r (*.f32 (PI.f32) s)) s) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 (-.f32 r (/.f32 (*.f32 #s(literal 5/12 binary32) (*.f32 r r)) s)) s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 #s(literal 1 binary32) (/.f32 r (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))))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 r (*.f32 r #s(literal 5/9 binary32))) s) (*.f32 r #s(literal 1/6 binary32))) s)) (*.f32 r (*.f32 s (PI.f32))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (fma.f32 r (/.f32 #s(literal -4/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 5/9 binary32) (*.f32 s s)) #s(literal 2 binary32)))) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) (fma.f32 #s(literal 5/12 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) #s(literal 3/2 binary32))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (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 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/72 binary32) (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/54 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/12 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 3/2 binary32)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 (-.f32 r (/.f32 (-.f32 (*.f32 #s(literal 5/12 binary32) (*.f32 r r)) (*.f32 (*.f32 r (*.f32 r r)) (/.f32 #s(literal 7/54 binary32) s))) s)) s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 r #s(literal 4/3 binary32) (/.f32 (fma.f32 #s(literal -14/81 binary32) (*.f32 r (*.f32 r (/.f32 r s))) (*.f32 r (*.f32 r #s(literal 5/9 binary32)))) (neg.f32 s))) s))) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 r #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 r (*.f32 (*.f32 r r) #s(literal 14/81 binary32))) s) (*.f32 (*.f32 r r) #s(literal 5/72 binary32))) (neg.f32 s))) s)) (*.f32 r (*.f32 s (PI.f32))))
(+.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))))
(/.f32 (+.f32 (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.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 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (PI.f32) s)) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/16 binary32))) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s)
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(+.f32 (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (/.f32 (*.f32 r r) s)) #s(literal -1/162 binary32))) (neg.f32 s))) s)) (*.f32 r (PI.f32))))) s)
(/.f32 (fma.f32 (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 r (/.f32 (fma.f32 r (*.f32 r #s(literal 1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 r (*.f32 r (/.f32 r s))))) s)) s))))) s)
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
(/.f32 (fma.f32 (+.f32 (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))) #s(literal -1/972 binary32) (/.f32 #s(literal 1/108 binary32) (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal -1/18 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) 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 #s(literal 3/4 binary32) (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 r (*.f32 (PI.f32) #s(literal 6 binary32)))) s))
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s (*.f32 s 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)))))) 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 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (/.f32 (*.f32 r r) s)) #s(literal -1/162 binary32))) (neg.f32 s))) s))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) 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 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 (*.f32 (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))) #s(literal 1/8 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (*.f32 #s(literal 3/4 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 r (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) (*.f32 (PI.f32) (*.f32 s (*.f32 r r))))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) 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 #s(literal 0 binary32) (/.f32 r s))) r)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.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 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))))) 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 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(fma.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r s)) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (/.f32 r (*.f32 s #s(literal 3 binary32)))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
(fma.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 s (PI.f32))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 3/4 binary32) (*.f32 r s)) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r (*.f32 r (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))))) (*.f32 r 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 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) s))
(/.f32 (neg.f32 (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 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 r (*.f32 #s(literal 1/4 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))))) (*.f32 r (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32)))))
(/.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) (*.f32 r (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) (*.f32 r (*.f32 #s(literal 3/4 binary32) (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32))))))) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 (/.f32 (fma.f32 s (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (exp.f32 (/.f32 r s)) (*.f32 s (PI.f32))))) (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r #s(literal 3/4 binary32)))) (*.f32 r s)) (*.f32 r (PI.f32))) #s(literal 6 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal -6 binary32))) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) #s(literal -1/4 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) #s(literal -3/4 binary32)) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal -2 binary32))))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 #s(literal 1 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 (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 (PI.f32) #s(literal 6 binary32)))) (*.f32 r s))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1/3 binary32)) (*.f32 r (PI.f32))))) s)
(/.f32 (fma.f32 (exp.f32 (-.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s) (log.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
(/.f32 (fma.f32 r (*.f32 #s(literal 2 binary32) (*.f32 s (PI.f32))) (*.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))))) (*.f32 #s(literal 1/4 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) (*.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))))) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(exp.f32 (*.f32 (log.f32 (/.f32 s (*.f32 #s(literal 1/8 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))))) #s(literal -1 binary32)))
Outputs
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
Calls

3 calls:

86.0ms
s
51.0ms
(+.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)))
50.0ms
r
Results
AccuracySegmentsBranch
99.5%1s
99.5%1r
99.5%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)

regimes184.0ms (1.1%)

Memory
-2.4MiB live, 192.8MiB allocated
Counts
143 → 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 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 (PI.f32) s) #s(literal 4 binary32))))
(/.f32 #s(literal 3/2 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s))
(/.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 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(*.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)))
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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 3/4 binary32) #s(literal 1 binary32)) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) 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 #s(literal 1/8 binary32) r) (/.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/8 binary32) r)) s))
(/.f32 (fma.f32 s (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 s))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))))
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 r s))))) s)
(+.f32 (fma.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.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) (*.f32 (*.f32 r s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))))
(+.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (fma.f32 (fma.f32 r (fma.f32 #s(literal -1/972 binary32) (/.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/108 binary32) (*.f32 (PI.f32) (*.f32 s s)))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/18 binary32) (*.f32 (PI.f32) s)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
(/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) (*.f32 r (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) (*.f32 r (*.f32 #s(literal 3/4 binary32) #s(literal 1 binary32)))) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (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 r (PI.f32))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
(/.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 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 r (/.f32 r s)) (neg.f32 r)) s))))) s)
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) 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 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s))
(/.f32 (/.f32 (fma.f32 r (-.f32 #s(literal 0 binary32) (/.f32 r s)) (fma.f32 (/.f32 (pow.f32 r #s(literal 4 binary32)) (*.f32 s (*.f32 s s))) #s(literal -7/54 binary32) (fma.f32 #s(literal 3/2 binary32) r (*.f32 (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s s)) #s(literal 5/12 binary32))))) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 (PI.f32) s)) (/.f32 (fma.f32 #s(literal 3/4 binary32) (/.f32 (*.f32 s s) (PI.f32)) (/.f32 (*.f32 #s(literal -9/4 binary32) (*.f32 s (*.f32 s s))) (*.f32 r (PI.f32)))) (neg.f32 (*.f32 r (*.f32 r r))))) (neg.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 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (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 r (PI.f32))))) s)
(+.f32 (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (/.f32 (*.f32 r r) s)) #s(literal -1/162 binary32))) (neg.f32 s))) s)) (*.f32 r (PI.f32))))) s)
(/.f32 (fma.f32 (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 r (/.f32 (fma.f32 r (*.f32 r #s(literal 1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 r (*.f32 r (/.f32 r s))))) s)) s))))) s)
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
(/.f32 (fma.f32 (+.f32 (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))) #s(literal -1/972 binary32) (/.f32 #s(literal 1/108 binary32) (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal -1/18 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) 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 #s(literal 3/4 binary32) (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 r (*.f32 (PI.f32) #s(literal 6 binary32)))) s))
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s (*.f32 s 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)))))) 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 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (/.f32 (*.f32 r r) s)) #s(literal -1/162 binary32))) (neg.f32 s))) s))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) 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 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 (*.f32 (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))) #s(literal 1/8 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (*.f32 #s(literal 3/4 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 r (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))))) (*.f32 (PI.f32) (*.f32 s (*.f32 r r))))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (PI.f32))) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))))) #s(literal 1/8 binary32)) 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 #s(literal 0 binary32) (/.f32 r s))) r)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (*.f32 r (PI.f32))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 s (PI.f32))) (/.f32 (exp.f32 (*.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 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (pow.f32 (E.f32) (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (PI.f32))))) 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 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (*.f32 r s)))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
Outputs
(/.f32 (*.f32 (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))) #s(literal 1/8 binary32)) (*.f32 r (*.f32 s (PI.f32))))
Calls

2 calls:

65.0ms
r
57.0ms
s
Results
AccuracySegmentsBranch
99.4%1s
99.4%1r
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes152.0ms (0.9%)

Memory
-9.3MiB live, 184.3MiB 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 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 (PI.f32) s) #s(literal 4 binary32))))
(/.f32 #s(literal 3/2 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s))
(/.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))
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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 3/4 binary32) #s(literal 1 binary32)) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) 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 #s(literal 1/8 binary32) r) (/.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/8 binary32) r)) s))
(/.f32 (fma.f32 s (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r 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 s))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))))
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 r s))))) s)
(+.f32 (fma.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (PI.f32)) #s(literal 2 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32))))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(/.f32 (fma.f32 (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.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) (*.f32 (*.f32 r s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))))
(+.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (fma.f32 (fma.f32 r (fma.f32 #s(literal -1/972 binary32) (/.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/108 binary32) (*.f32 (PI.f32) (*.f32 s s)))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/18 binary32) (*.f32 (PI.f32) s)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
(/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) (*.f32 r (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) (*.f32 r (*.f32 #s(literal 3/4 binary32) #s(literal 1 binary32)))) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (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 r (PI.f32))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
(/.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 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 r (/.f32 r s)) (neg.f32 r)) s))))) s)
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) 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 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s))
(/.f32 (/.f32 (fma.f32 r (-.f32 #s(literal 0 binary32) (/.f32 r s)) (fma.f32 (/.f32 (pow.f32 r #s(literal 4 binary32)) (*.f32 s (*.f32 s s))) #s(literal -7/54 binary32) (fma.f32 #s(literal 3/2 binary32) r (*.f32 (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s s)) #s(literal 5/12 binary32))))) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 (PI.f32) s)) (/.f32 (fma.f32 #s(literal 3/4 binary32) (/.f32 (*.f32 s s) (PI.f32)) (/.f32 (*.f32 #s(literal -9/4 binary32) (*.f32 s (*.f32 s s))) (*.f32 r (PI.f32)))) (neg.f32 (*.f32 r (*.f32 r r))))) (neg.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 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (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 r (PI.f32))))) s)
(+.f32 (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (/.f32 (*.f32 r r) s)) #s(literal -1/162 binary32))) (neg.f32 s))) s)) (*.f32 r (PI.f32))))) s)
(/.f32 (fma.f32 (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 r (/.f32 (fma.f32 r (*.f32 r #s(literal 1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 r (*.f32 r (/.f32 r s))))) s)) s))))) s)
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
(/.f32 (fma.f32 (+.f32 (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))) #s(literal -1/972 binary32) (/.f32 #s(literal 1/108 binary32) (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal -1/18 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) 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 #s(literal 3/4 binary32) (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 r (*.f32 (PI.f32) #s(literal 6 binary32)))) s))
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s (*.f32 s 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)))))) 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 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (/.f32 (*.f32 r r) s)) #s(literal -1/162 binary32))) (neg.f32 s))) s))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) 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 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 (*.f32 r s) (PI.f32)))
Outputs
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
Calls

2 calls:

54.0ms
r
39.0ms
s
Results
AccuracySegmentsBranch
99.4%1s
99.4%1r
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes89.0ms (0.5%)

Memory
-5.1MiB live, 168.5MiB allocated
Counts
130 → 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 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 (PI.f32) s) #s(literal 4 binary32))))
(/.f32 #s(literal 3/2 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s))
(/.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 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(*.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 #s(literal 1 binary32) (*.f32 r s)) (/.f32 #s(literal 1/4 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s)
(/.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 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 r s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) r) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r #s(literal -4/3 binary32)) s) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 (PI.f32) s))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 (PI.f32) s))))
(/.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 (*.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))
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(/.f32 (fma.f32 (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.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) (*.f32 (*.f32 r s) (PI.f32))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))))
(+.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/8 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (fma.f32 (fma.f32 r (fma.f32 #s(literal -1/972 binary32) (/.f32 r (*.f32 (PI.f32) (*.f32 s (*.f32 s s)))) (/.f32 #s(literal 1/108 binary32) (*.f32 (PI.f32) (*.f32 s s)))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/18 binary32) (*.f32 (PI.f32) s)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
(/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) (*.f32 r (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 (fma.f32 (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)) (*.f32 r (*.f32 #s(literal 3/4 binary32) #s(literal 1 binary32)))) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (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 r (PI.f32))))) s)
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
(/.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 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 r (/.f32 r s)) (neg.f32 r)) s))))) s)
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) 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 #s(literal 1/8 binary32) (*.f32 r (PI.f32))) (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32))))) s))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 1/144 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 r (PI.f32)))) s))
(/.f32 (/.f32 (fma.f32 r (-.f32 #s(literal 0 binary32) (/.f32 r s)) (fma.f32 (/.f32 (pow.f32 r #s(literal 4 binary32)) (*.f32 s (*.f32 s s))) #s(literal -7/54 binary32) (fma.f32 #s(literal 3/2 binary32) r (*.f32 (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s s)) #s(literal 5/12 binary32))))) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 (PI.f32) s)) (/.f32 (fma.f32 #s(literal 3/4 binary32) (/.f32 (*.f32 s s) (PI.f32)) (/.f32 (*.f32 #s(literal -9/4 binary32) (*.f32 s (*.f32 s s))) (*.f32 r (PI.f32)))) (neg.f32 (*.f32 r (*.f32 r r))))) (neg.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 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (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 r (PI.f32))))) s)
(+.f32 (/.f32 (fma.f32 r (/.f32 (fma.f32 r (/.f32 #s(literal 1/16 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))) (*.f32 r (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (/.f32 (*.f32 r r) s)) #s(literal -1/162 binary32))) (neg.f32 s))) s)) (*.f32 r (PI.f32))))) s)
(/.f32 (fma.f32 (/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -1/162 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1/18 binary32) (*.f32 s s))) (/.f32 #s(literal -1/3 binary32) s)) #s(literal 1 binary32)) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 r (/.f32 (fma.f32 r (*.f32 r #s(literal 1/2 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 r (*.f32 r (/.f32 r s))))) s)) s))))) s)
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
(/.f32 (fma.f32 (+.f32 (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))) #s(literal -1/972 binary32) (/.f32 #s(literal 1/108 binary32) (*.f32 (PI.f32) (*.f32 s s)))) (/.f32 #s(literal -1/18 binary32) (*.f32 (PI.f32) s))) (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) 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 #s(literal 3/4 binary32) (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 r (*.f32 (PI.f32) #s(literal 6 binary32)))) s))
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 r (*.f32 r r)) (*.f32 s (*.f32 s 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)))))) 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 #s(literal 3/4 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 r #s(literal 1/3 binary32) (/.f32 (fma.f32 r (*.f32 r #s(literal 1/18 binary32)) (*.f32 (*.f32 r (/.f32 (*.f32 r r) s)) #s(literal -1/162 binary32))) (neg.f32 s))) s))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) 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))
Outputs
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (PI.f32) s))))
Calls

2 calls:

39.0ms
r
38.0ms
s
Results
AccuracySegmentsBranch
92.3%1s
92.3%1r
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes77.0ms (0.5%)

Memory
-5.7MiB live, 73.1MiB allocated
Counts
70 → 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 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 (PI.f32) s) #s(literal 4 binary32))))
(/.f32 #s(literal 3/2 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s))
(/.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 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(*.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 #s(literal 1 binary32) (*.f32 r s)) (/.f32 #s(literal 1/4 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s)
(/.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 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 r s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) r) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r #s(literal -4/3 binary32)) s) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 (PI.f32) s))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 (PI.f32) s))))
(/.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 (*.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 (+.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 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) s)
(/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (*.f32 s s))
(/.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)
(/.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 (PI.f32) (*.f32 s s))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s) r)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (fma.f32 (/.f32 r (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/.f32 (fma.f32 (/.f32 (/.f32 r (*.f32 (PI.f32) s)) s) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 (-.f32 r (/.f32 (*.f32 #s(literal 5/12 binary32) (*.f32 r r)) s)) s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 #s(literal 1 binary32) (/.f32 r (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))))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 r (*.f32 r #s(literal 5/9 binary32))) s) (*.f32 r #s(literal 1/6 binary32))) s)) (*.f32 r (*.f32 s (PI.f32))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (fma.f32 r (/.f32 #s(literal -4/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 5/9 binary32) (*.f32 s s)) #s(literal 2 binary32)))) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) (fma.f32 #s(literal 5/12 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) #s(literal 3/2 binary32))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (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 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/72 binary32) (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/54 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/12 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 3/2 binary32)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 (-.f32 r (/.f32 (-.f32 (*.f32 #s(literal 5/12 binary32) (*.f32 r r)) (*.f32 (*.f32 r (*.f32 r r)) (/.f32 #s(literal 7/54 binary32) s))) s)) s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 r #s(literal 4/3 binary32) (/.f32 (fma.f32 #s(literal -14/81 binary32) (*.f32 r (*.f32 r (/.f32 r s))) (*.f32 r (*.f32 r #s(literal 5/9 binary32)))) (neg.f32 s))) s))) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 r #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 r (*.f32 (*.f32 r r) #s(literal 14/81 binary32))) s) (*.f32 (*.f32 r r) #s(literal 5/72 binary32))) (neg.f32 s))) s)) (*.f32 r (*.f32 s (PI.f32))))
(+.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s (PI.f32)))) r) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))))
(/.f32 (+.f32 (fma.f32 r (fma.f32 (/.f32 r (*.f32 s (*.f32 s (*.f32 s (PI.f32))))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32))))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.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 (/.f32 (-.f32 (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 (PI.f32) s)) #s(literal 1/48 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal -1/16 binary32))) s)) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) s)
(/.f32 (+.f32 (fma.f32 (/.f32 (*.f32 r r) (*.f32 s (*.f32 (PI.f32) (*.f32 s s)))) #s(literal -1/48 binary32) (fma.f32 (/.f32 r (*.f32 (PI.f32) (*.f32 s s))) #s(literal 1/16 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))) (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) s))) 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 (fma.f32 r (fma.f32 r (/.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 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))))
(+.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) (fma.f32 (*.f32 r r) (/.f32 #s(literal 1/8 binary32) (*.f32 s s)) #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))))
(/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 r s)) (pow.f32 (/.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -1 binary32)))
(/.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/18 binary32) (*.f32 (PI.f32) s))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (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))))) s)
Outputs
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 (-.f32 r (/.f32 (-.f32 (*.f32 #s(literal 5/12 binary32) (*.f32 r r)) (*.f32 (*.f32 r (*.f32 r r)) (/.f32 #s(literal 7/54 binary32) s))) s)) s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
Calls

2 calls:

25.0ms
r
18.0ms
s
Results
AccuracySegmentsBranch
10.3%1s
10.3%1r
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes34.0ms (0.2%)

Memory
1.2MiB live, 78.9MiB allocated
Counts
55 → 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 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 (PI.f32) s) #s(literal 4 binary32))))
(/.f32 #s(literal 3/2 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s))
(/.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 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(*.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 #s(literal 1 binary32) (*.f32 r s)) (/.f32 #s(literal 1/4 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s)
(/.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 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 r s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) r) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r #s(literal -4/3 binary32)) s) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 (PI.f32) s))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 (PI.f32) s))))
(/.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 (*.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 (+.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 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) s)
(/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (*.f32 s s))
(/.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)
(/.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 (PI.f32) (*.f32 s s))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s) r)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (fma.f32 (/.f32 r (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/.f32 (fma.f32 (/.f32 (/.f32 r (*.f32 (PI.f32) s)) s) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 (-.f32 r (/.f32 (*.f32 #s(literal 5/12 binary32) (*.f32 r r)) s)) s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 #s(literal 1 binary32) (/.f32 r (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))))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 r (*.f32 r #s(literal 5/9 binary32))) s) (*.f32 r #s(literal 1/6 binary32))) s)) (*.f32 r (*.f32 s (PI.f32))))
(+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s (PI.f32))))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (fma.f32 r (/.f32 #s(literal -4/3 binary32) s) (fma.f32 (*.f32 r r) (/.f32 #s(literal 5/9 binary32) (*.f32 s s)) #s(literal 2 binary32)))) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)) (fma.f32 #s(literal 5/12 binary32) (/.f32 (*.f32 r r) (*.f32 s s)) #s(literal 3/2 binary32))) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(+.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 s (PI.f32))) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (*.f32 s s)) (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))))
(/.f32 (+.f32 (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) s)
(/.f32 (+.f32 (fma.f32 (/.f32 r (*.f32 s (*.f32 s (PI.f32)))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 s (PI.f32)))) (/.f32 #s(literal 1/4 binary32) (*.f32 r (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 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/72 binary32) (*.f32 s s))) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (fma.f32 r (fma.f32 r (fma.f32 #s(literal -7/54 binary32) (/.f32 r (*.f32 s (*.f32 s s))) (/.f32 #s(literal 5/12 binary32) (*.f32 s s))) (/.f32 #s(literal -1 binary32) s)) #s(literal 3/2 binary32)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
Outputs
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 (-.f32 r (/.f32 (*.f32 #s(literal 5/12 binary32) (*.f32 r r)) s)) s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
Calls

2 calls:

15.0ms
s
14.0ms
r
Results
AccuracySegmentsBranch
10.2%1s
10.2%1r
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes28.0ms (0.2%)

Memory
20.7MiB live, 62.0MiB allocated
Counts
43 → 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 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 (PI.f32) s) #s(literal 4 binary32))))
(/.f32 #s(literal 3/2 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s))
(/.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 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(*.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 #s(literal 1 binary32) (*.f32 r s)) (/.f32 #s(literal 1/4 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s)
(/.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 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 r s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) r) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r #s(literal -4/3 binary32)) s) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 (PI.f32) s))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 (PI.f32) s))))
(/.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 (*.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 (+.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 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) s)
(/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (*.f32 s s))
(/.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)
(/.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 (PI.f32) (*.f32 s s))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s) r)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (fma.f32 (/.f32 r (*.f32 s s)) (/.f32 #s(literal -1/8 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/.f32 (fma.f32 (/.f32 (/.f32 r (*.f32 (PI.f32) s)) s) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
Outputs
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
Calls

2 calls:

14.0ms
s
11.0ms
r
Results
AccuracySegmentsBranch
10.2%1s
10.2%1r
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes27.0ms (0.2%)

Memory
-19.6MiB live, 56.6MiB allocated
Counts
40 → 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 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 (PI.f32) s) #s(literal 4 binary32))))
(/.f32 #s(literal 3/2 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s))
(/.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 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(*.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 #s(literal 1 binary32) (*.f32 r s)) (/.f32 #s(literal 1/4 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s)
(/.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 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 r s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) r) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r #s(literal -4/3 binary32)) s) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 (PI.f32) s))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 (PI.f32) s))))
(/.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 (*.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 (+.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 #s(literal 1/4 binary32) (*.f32 r (PI.f32))) (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) s))) s)
(/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 s (*.f32 r (PI.f32))) (/.f32 #s(literal -1/8 binary32) (PI.f32))) (*.f32 s s))
(/.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)
(/.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 (PI.f32) (*.f32 s s))) #s(literal -1/8 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r (*.f32 (PI.f32) s)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) s) r)
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r s)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
Outputs
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
Calls

2 calls:

12.0ms
s
11.0ms
r
Results
AccuracySegmentsBranch
9.3%1r
9.3%1s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes20.0ms (0.1%)

Memory
4.8MiB live, 42.0MiB 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 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 (PI.f32) s) #s(literal 4 binary32))))
(/.f32 #s(literal 3/2 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s))
(/.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 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(*.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 #s(literal 1 binary32) (*.f32 r s)) (/.f32 #s(literal 1/4 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) (PI.f32)) s)
(/.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 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 r s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 (*.f32 #s(literal 3/2 binary32) r) r) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 r #s(literal -4/3 binary32)) s) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 s (PI.f32)))) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s (PI.f32)))))
(-.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 (PI.f32) s))))
(-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) (*.f32 s s))) (/.f32 #s(literal -1/4 binary32) (*.f32 r (*.f32 (PI.f32) s))))
Outputs
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
Calls

2 calls:

8.0ms
r
8.0ms
s
Results
AccuracySegmentsBranch
9.3%1r
9.3%1s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
26.7MiB live, 26.7MiB allocated
Counts
17 → 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 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 (PI.f32) s) #s(literal 4 binary32))))
(/.f32 #s(literal 3/2 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s))
(/.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 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(*.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 #s(literal 1 binary32) (*.f32 r s)) (/.f32 #s(literal 1/4 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (PI.f32))) (/.f32 #s(literal 1/4 binary32) r))
Outputs
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))
Calls

2 calls:

5.0ms
r
5.0ms
s
Results
AccuracySegmentsBranch
9.3%1s
9.3%1r
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Memory
-15.1MiB live, 27.4MiB allocated
Counts
14 → 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 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 (PI.f32) s) #s(literal 4 binary32))))
(/.f32 #s(literal 3/2 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 s (PI.f32)))
(/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s))
(/.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 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) (*.f32 r (PI.f32))))
Outputs
(/.f32 #s(literal 3/2 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
Calls

2 calls:

7.0ms
s
5.0ms
r
Results
AccuracySegmentsBranch
9.3%1r
9.3%1s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Memory
14.1MiB live, 14.1MiB allocated
Counts
4 → 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 #s(literal 1 binary32) (*.f32 r (*.f32 (*.f32 (PI.f32) s) #s(literal 4 binary32))))
Outputs
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
Calls

2 calls:

2.0ms
s
2.0ms
r
Results
AccuracySegmentsBranch
9.3%1r
9.3%1s
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
8.6MiB live, 8.6MiB 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

2 calls:

1.0ms
r
1.0ms
s
Results
AccuracySegmentsBranch
9.3%1r
9.3%1s
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify79.0ms (0.5%)

Memory
-35.6MiB live, 83.2MiB allocated
Algorithm
egg-herbie
Rules
806×distribute-lft-neg-in_binary32
406×neg-mul-1_binary32
394×neg-sub0_binary32
316×sub-neg_binary32
282×cancel-sign-sub_binary32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
097232
1147231
2203231
3257231
4338231
5448231
6582231
7768231
81067231
91400231
101739231
111984231
122140231
132202231
142228231
152237231
Stop Event
saturated
Calls
Call 1
Inputs
(/.f32 (fma.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
(/.f32 (*.f32 (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))) #s(literal 1/8 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (PI.f32) s))))
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 (-.f32 r (/.f32 (-.f32 (*.f32 #s(literal 5/12 binary32) (*.f32 r r)) (*.f32 (*.f32 r (*.f32 r r)) (/.f32 #s(literal 7/54 binary32) s))) s)) s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 (-.f32 r (/.f32 (*.f32 #s(literal 5/12 binary32) (*.f32 r r)) s)) s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) s)) #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 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))
(/.f32 #s(literal 3/2 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) 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 (fma.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (neg.f32 (/.f32 r (*.f32 s #s(literal -3 binary32))))))) #s(literal -1 binary32))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
(/.f32 (fma.f32 (exp.f32 (neg.f32 (log.f32 (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r (*.f32 s #s(literal -3 binary32))))))))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32)))) #s(literal 3/4 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 r (PI.f32)) (exp.f32 (/.f32 r s))))) s)
(/.f32 (*.f32 (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s)))) #s(literal 1/8 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 r (*.f32 s #s(literal -3 binary32)))) (exp.f32 (/.f32 (neg.f32 r) s)))) (*.f32 r (*.f32 (PI.f32) s)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 r s))))) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (*.f32 (/.f32 r s) #s(literal -1/3 binary32))))) (*.f32 r (*.f32 (PI.f32) s)))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 r #s(literal -1/3 binary32)) s)) (*.f32 r (*.f32 (PI.f32) s))))
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 (-.f32 r (/.f32 (-.f32 (*.f32 #s(literal 5/12 binary32) (*.f32 r r)) (*.f32 (*.f32 r (*.f32 r r)) (/.f32 #s(literal 7/54 binary32) s))) s)) s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (+.f32 #s(literal 3/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (*.f32 #s(literal 5/12 binary32) (*.f32 r r)) (*.f32 (*.f32 r (*.f32 r r)) (/.f32 #s(literal 7/54 binary32) s))) s) r) s)) (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) s))
(/.f32 (-.f32 #s(literal 3/2 binary32) (/.f32 (-.f32 r (/.f32 (*.f32 #s(literal 5/12 binary32) (*.f32 r r)) s)) s)) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 (+.f32 #s(literal 3/2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 5/12 binary32) (*.f32 r r)) s) r) s)) (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) s))
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/4 binary32)) (*.f32 r (*.f32 s (PI.f32))))
(/.f32 (fma.f32 r (fma.f32 r (/.f32 #s(literal 5/72 binary32) (*.f32 s s)) (/.f32 #s(literal -1/6 binary32) s)) #s(literal 1/4 binary32)) (*.f32 r (*.f32 (PI.f32) s)))
(/.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 r (*.f32 (sqrt.f32 (PI.f32)) (*.f32 s (sqrt.f32 (PI.f32))))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) r) s) (PI.f32))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (*.f32 r s)))
(/.f32 #s(literal 3/2 binary32) (*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r)))
(/.f32 #s(literal 3/2 binary32) (*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 6 binary32))) s))
(/.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))))
(/.f32 #s(literal 1/4 binary32) (*.f32 r (*.f32 (PI.f32) s)))

soundness1.3s (7.7%)

Memory
47.0MiB live, 1 518.0MiB allocated
Rules
14 624×accelerator-lowering-fma.f32
14 624×accelerator-lowering-fma.f64
12 764×accelerator-lowering-fma.f32
12 764×accelerator-lowering-fma.f64
10 092×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054252
1292243
22854243
08314238
02421900
17561845
221131788
359491788
082201755
09687662
128747306
084667073
02590
112479
2129571
0944671
05855898
117365728
248965624
084775467
08288216
125027878
271427826
082407628
057408
1358362
24306362
08935358
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
Compiler

Compiled 471 to 273 computations (42% saved)

preprocess159.0ms (1%)

Memory
-31.6MiB live, 243.6MiB allocated
Compiler

Compiled 538 to 238 computations (55.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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