Disney BSSRDF, PDF of scattering profile

Time bar (total: 12.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze134.0ms (1%)

Memory
12.9MiB live, 112.9MiB allocated; 44ms collecting garbage
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)

sample2.5s (19.1%)

Memory
13.4MiB live, 3 047.1MiB allocated; 581ms collecting garbage
Samples
1.8s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-mult: 579.0ms (39.2% of total)
ival-div: 238.0ms (16.1% of total)
const: 179.0ms (12.1% of total)
ival-exp: 127.0ms (8.6% of total)
ival-<: 103.0ms (7% of total)
ival-pi: 55.0ms (3.7% of total)
ival-neg: 48.0ms (3.3% of total)
ival-<=: 43.0ms (2.9% of total)
ival-add: 39.0ms (2.6% of total)
exact: 34.0ms (2.3% of total)
ival-and: 25.0ms (1.7% of total)
adjust: 3.0ms (0.2% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain432.0ms (3.4%)

Memory
42.3MiB live, 650.1MiB allocated; 124ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
25(6.880543514853343e-5 0.04518800601363182)2(0.10789211839437485 7.101107120513916)(exp.f32 (/.f32 (neg.f32 r) s))
13(241.0836639404297 179816.609375)1(0.00036871901829726994 0.09487728774547577)(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
00-0-(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
00-0-(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
00-0-(PI.f32)
00-0-#s(literal 2 binary32)
00-0-(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
00-0-(*.f32 #s(literal 6 binary32) (PI.f32))
00-0-(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
00-0-(neg.f32 r)
00-0-s
00-0-(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
00-0-(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
00-0-#s(literal 3/4 binary32)
00-0-(/.f32 (neg.f32 r) s)
00-0-#s(literal 1/4 binary32)
00-0-(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
00-0-(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
00-0-(*.f32 #s(literal 3 binary32) s)
00-0-(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
00-0-#s(literal 6 binary32)
00-0-r
00-0-#s(literal 3 binary32)
00-0-(*.f32 #s(literal 2 binary32) (PI.f32))
00-0-(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
exp.f32(exp.f32 (/.f32 (neg.f32 r) s))sensitivity53
exp.f32(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))sensitivity33
Confusion
Predicted +Predicted -
+10
-5250
Precision
0.16666666666666666
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-53247
Precision?
0.1111111111111111
Recall?
1.0
Freqs
test
numberfreq
0250
14
22
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
167.0ms512×0valid
Compiler

Compiled 329 to 79 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
ival-neg: 56.0ms (50.9% of total)
ival-mult: 25.0ms (22.7% of total)
ival-div: 15.0ms (13.6% of total)
ival-exp: 8.0ms (7.3% of total)
ival-pi: 2.0ms (1.8% of total)
ival-add: 2.0ms (1.8% of total)
ival-true: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess330.0ms (2.6%)

Memory
19.7MiB live, 290.5MiB allocated; 41ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057175
1202133
294492
3494292
02533
04333
18827
230520
3155720
4740120
0819120
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Outputs
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s r) (PI.f32))) (+.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (exp.f32 (/.f32 (neg.f32 r) s))))
Compiler

Compiled 33 to 25 computations (24.2% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
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 33 to 25 computations (24.2% saved)

simplify392.0ms (3.1%)

Memory
-50.4MiB live, 328.1MiB allocated; 132ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff1
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
cost-diff2
(/.f32 (*.f32 #s(literal 3/4 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-diff2
(/.f32 (*.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-diff6
(+.f32 (/.f32 (*.f32 #s(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)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025146
043146
188136
2305123
31557121
47401121
08191121
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(*.f32 #s(literal 3 binary32) s)
#s(literal 3 binary32)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)
Outputs
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s r) (PI.f32))) (+.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (exp.f32 (/.f32 (neg.f32 r) s))))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s r) (PI.f32))) (exp.f32 (/.f32 r s)))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 r s)))
#s(literal 1/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r)
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s r) (PI.f32))) (cbrt.f32 (exp.f32 (/.f32 r s))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
(/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(*.f32 #s(literal 3 binary32) s)
#s(literal 3 binary32)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)

localize80.0ms (0.6%)

Memory
-16.0MiB live, 88.1MiB allocated; 13ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.25390625
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
accuracy0.25390625
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
accuracy0.28515625
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
accuracy0.36328125
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
Samples
66.0ms256×0valid
Compiler

Compiled 148 to 27 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-exp: 22.0ms (39.9% of total)
ival-mult: 22.0ms (39.9% of total)
ival-div: 7.0ms (12.7% of total)
ival-pi: 1.0ms (1.8% of total)
ival-add: 1.0ms (1.8% of total)
exact: 1.0ms (1.8% of total)
ival-neg: 1.0ms (1.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series37.0ms (0.3%)

Memory
-12.8MiB live, 78.9MiB allocated; 7ms collecting garbage
Counts
8 → 47
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
Outputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/4 (exp (* -1 (/ r s))))
(* 2 (* s (PI)))
(* 6 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* -1/3 (/ r 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)
(/ 1/8 (* 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 (/ 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)
1/4
(+ 1/4 (* -1/4 (/ r s)))
(+ 1/4 (+ (* -1/4 (/ r s)) (* 1/8 (/ (pow r 2) (pow s 2)))))
(+ 1/4 (+ (* -1/4 (/ r s)) (+ (* -1/24 (/ (pow r 3) (pow s 3))) (* 1/8 (/ (pow r 2) (pow s 2))))))
(* -1 (/ (- (* 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 (/ (- (* 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 (/ (- (* 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))
(+ 1/4 (* -1 (/ (+ (* -1/8 (/ (pow r 2) s)) (* 1/4 r)) s)))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow r 3) s)) (* 1/8 (pow r 2))) s)) (* 1/4 r)) s)))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* -1/8 (/ r (* (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)
(/ (+ (* -1/24 (/ 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)
(+ 1/4 (* r (- (* 1/8 (/ r (pow s 2))) (* 1/4 (/ 1 s)))))
(+ 1/4 (* r (- (* r (+ (* -1/24 (/ r (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(/ (+ (* 1/8 (/ (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))
Calls

6 calls:

TimeVariablePointExpression
13.0ms
s
@inf
((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* 1/4 (exp (/ (neg r) s))) (* (* 2 (PI)) s) (* (* (* 6 (PI)) s) r) (* (* (* 2 (PI)) s) r) (/ (neg r) (* 3 s)))
6.0ms
r
@inf
((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* 1/4 (exp (/ (neg r) s))) (* (* 2 (PI)) s) (* (* (* 6 (PI)) s) r) (* (* (* 2 (PI)) s) r) (/ (neg r) (* 3 s)))
5.0ms
r
@-inf
((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* 1/4 (exp (/ (neg r) s))) (* (* 2 (PI)) s) (* (* (* 6 (PI)) s) r) (* (* (* 2 (PI)) s) r) (/ (neg r) (* 3 s)))
4.0ms
s
@-inf
((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* 1/4 (exp (/ (neg r) s))) (* (* 2 (PI)) s) (* (* (* 6 (PI)) s) r) (* (* (* 2 (PI)) s) r) (/ (neg r) (* 3 s)))
4.0ms
s
@0
((+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* 1/4 (exp (/ (neg r) s))) (* (* 2 (PI)) s) (* (* (* 6 (PI)) s) r) (* (* (* 2 (PI)) s) r) (/ (neg r) (* 3 s)))

simplify218.0ms (1.7%)

Memory
30.9MiB live, 417.0MiB allocated; 38ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0289977
1937922
23097881
08263832
Stop Event
iter limit
node limit
Counts
47 → 47
Calls
Call 1
Inputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 1/4 (exp (* -1 (/ r s))))
(* 2 (* s (PI)))
(* 6 (* r (* s (PI))))
(* 2 (* r (* s (PI))))
(* -1/3 (/ r 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)
(/ 1/8 (* 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 (/ 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)
1/4
(+ 1/4 (* -1/4 (/ r s)))
(+ 1/4 (+ (* -1/4 (/ r s)) (* 1/8 (/ (pow r 2) (pow s 2)))))
(+ 1/4 (+ (* -1/4 (/ r s)) (+ (* -1/24 (/ (pow r 3) (pow s 3))) (* 1/8 (/ (pow r 2) (pow s 2))))))
(* -1 (/ (- (* 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 (/ (- (* 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 (/ (- (* 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))
(+ 1/4 (* -1 (/ (+ (* -1/8 (/ (pow r 2) s)) (* 1/4 r)) s)))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow r 3) s)) (* 1/8 (pow r 2))) s)) (* 1/4 r)) s)))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* -1/8 (/ r (* (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)
(/ (+ (* -1/24 (/ 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)
(+ 1/4 (* r (- (* 1/8 (/ r (pow s 2))) (* 1/4 (/ 1 s)))))
(+ 1/4 (* r (- (* r (+ (* -1/24 (/ r (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(/ (+ (* 1/8 (/ (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))
Outputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(*.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s)) r) #s(literal 1/8 binary32))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (*.f32 (PI.f32) s)))
(* 1/4 (exp (* -1 (/ r s))))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(* 2 (* s (PI)))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))
(* 6 (* r (* s (PI))))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(* 2 (* r (* s (PI))))
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s)) r)
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (fma.f32 (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) (/.f32 r (PI.f32))) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)))) s)
(/ 1/8 (* r (* s (PI))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) s)
(/.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/8 binary32) r)) (PI.f32)) s)
(/ (- (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/8 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) (PI.f32)) s)) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/8 (* s (PI)))) s)
(/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/48 binary32) r) (pow.f32 s #s(literal 3 binary32))) (/.f32 r (PI.f32)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) (PI.f32)) s))) s)
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)
(/.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/8 binary32) r)) (PI.f32)) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/144 binary32) #s(literal -1/24 binary32)) (PI.f32)) s)) 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)
(/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/1296 binary32) r) (pow.f32 s #s(literal 3 binary32))) (/.f32 r (PI.f32)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/144 binary32) #s(literal -1/24 binary32)) (PI.f32)) s))) s)
1/4
#s(literal 1/4 binary32)
(+ 1/4 (* -1/4 (/ r s)))
(fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 1/4 binary32))
(+ 1/4 (+ (* -1/4 (/ r s)) (* 1/8 (/ (pow r 2) (pow s 2)))))
(-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/8 binary32) (*.f32 #s(literal 1/4 binary32) r)) s))
(+ 1/4 (+ (* -1/4 (/ r s)) (+ (* -1/24 (/ (pow r 3) (pow s 3))) (* 1/8 (/ (pow r 2) (pow s 2))))))
(+.f32 (fma.f32 (pow.f32 (/.f32 r s) #s(literal 3 binary32)) #s(literal -1/24 binary32) (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 r (/.f32 r s)) (*.f32 #s(literal -1/4 binary32) r)) s)) #s(literal 1/4 binary32))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/6 binary32) s)) (PI.f32)) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32))) s) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 #s(literal 7/324 binary32) (*.f32 r (/.f32 r (PI.f32)))) s)) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))
(* -1 (/ (- (* 1/8 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/8 binary32) s)) (PI.f32)) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* 1/48 (/ (pow r 2) (* s (PI))))) s)) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 1/48 binary32) (*.f32 #s(literal -1/16 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))
(* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/24 binary32) s)) (PI.f32)) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/144 binary32) #s(literal -1/24 binary32)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/144 (/ r (PI))) (* 1/1296 (/ (pow r 2) (* s (PI))))) s)) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 1/1296 binary32) (*.f32 #s(literal -1/144 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/24 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))
(+ 1/4 (* -1 (/ (+ (* -1/8 (/ (pow r 2) s)) (* 1/4 r)) s)))
(-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/8 binary32) (*.f32 #s(literal 1/4 binary32) r)) s))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow r 3) s)) (* 1/8 (pow r 2))) s)) (* 1/4 r)) s)))
(-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) r (/.f32 (fma.f32 (/.f32 (pow.f32 r #s(literal 3 binary32)) s) #s(literal -1/24 binary32) (*.f32 (*.f32 r r) #s(literal 1/8 binary32))) (neg.f32 s))) s))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) 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 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.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 (fma.f32 (/.f32 (fma.f32 (/.f32 r (pow.f32 s #s(literal 4 binary32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (pow.f32 s #s(literal 3 binary32)))) (PI.f32)) r (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/8 binary32) (/.f32 #s(literal 1/8 binary32) s)) (PI.f32)) r)
(/ (+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 1/16 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 s s))) (PI.f32)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(/ (+ (* r (- (* r (+ (* -1/48 (/ r (* (pow s 4) (PI)))) (* 1/16 (/ 1 (* (pow s 3) (PI)))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (pow.f32 s #s(literal 4 binary32))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (PI.f32)) r (/.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 s s)) (PI.f32))) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/24 binary32) (/.f32 #s(literal 1/8 binary32) s)) (PI.f32)) r)
(/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 1/144 binary32))) (PI.f32)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(/ (+ (* r (- (* r (+ (* -1/1296 (/ r (* (pow s 4) (PI)))) (* 1/144 (/ 1 (* (pow s 3) (PI)))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (pow.f32 s #s(literal 4 binary32))) #s(literal -1/1296 binary32) (/.f32 #s(literal 1/144 binary32) (pow.f32 s #s(literal 3 binary32)))) (PI.f32)) r (/.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(+ 1/4 (* r (- (* 1/8 (/ r (pow s 2))) (* 1/4 (/ 1 s)))))
(fma.f32 (/.f32 (+.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) r) s)) s) r #s(literal 1/4 binary32))
(+ 1/4 (* r (- (* r (+ (* -1/24 (/ r (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal -1/24 binary32) r) s)) (*.f32 s s)) r (/.f32 #s(literal -1/4 binary32) s)) r #s(literal 1/4 binary32))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(*.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s)) r) #s(literal 1/8 binary32))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s)) r) #s(literal 1/8 binary32))

rewrite218.0ms (1.7%)

Memory
3.9MiB live, 475.9MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02597
04397
112984
2101682
0808281
Stop Event
iter limit
node limit
iter limit
Counts
8 → 614
Calls
Call 1
Inputs
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r))
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
Outputs
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))) (/.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))) (fma.f32 (/.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))) (/.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))) (*.f32 (/.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))) (/.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r)))))))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)) (fma.f32 (*.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r)) (*.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r)) (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) (*.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) r))))))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r))) (*.f32 #s(literal -1/4 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r))) (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) (*.f32 #s(literal -1/4 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r)))))))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)) (fma.f32 (*.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r)) (*.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r)) (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) (*.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r))))))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -3/4 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)) (fma.f32 (*.f32 #s(literal -3/4 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (*.f32 #s(literal -3/4 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) (*.f32 #s(literal -3/4 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))))))
(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (-.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r)) (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (-.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r)) (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (-.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r)) (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (-.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r)) (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)))) (-.f32 (*.f32 (/.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (-.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r)) (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (-.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r)) (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32))))) (*.f32 (/.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 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(/.f32 (neg.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32))) (neg.f32 (*.f32 s r)))
(/.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 3/4 binary32)) r) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s))
(/.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32)) (*.f32 s r))
(/.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r)) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s))
(/.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) r)
(/.f32 (neg.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))) (neg.f32 r))
(/.f32 (neg.f32 (*.f32 #s(literal -3/4 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (neg.f32 (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) (neg.f32 r))))
(/.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(/.f32 (*.f32 #s(literal -3/4 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) (neg.f32 r)))
(/.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 3/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(+.f32 (/.f32 (*.f32 (cosh.f32 (/.f32 r (*.f32 #s(literal 3 binary32) s))) #s(literal 3/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 (sinh.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 3/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (cosh.f32 (/.f32 r (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (sinh.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(neg.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(neg.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (neg.f32 r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32))
(*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))
(/.f32 (+.f32 (pow.f32 (*.f32 (cosh.f32 (/.f32 r s)) #s(literal 1/4 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (cosh.f32 (/.f32 r s)) #s(literal 1/4 binary32)) (*.f32 (cosh.f32 (/.f32 r s)) #s(literal 1/4 binary32)) (-.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)) (*.f32 (sinh.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32))) (*.f32 (*.f32 (cosh.f32 (/.f32 r s)) #s(literal 1/4 binary32)) (*.f32 (sinh.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32))))))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1/4 binary32) (cosh.f32 (/.f32 r s))) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 1/4 binary32) (sinh.f32 (/.f32 (neg.f32 r) s))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (cosh.f32 (/.f32 r s))) (*.f32 #s(literal 1/4 binary32) (cosh.f32 (/.f32 r s))) (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (sinh.f32 (/.f32 (neg.f32 r) s))) (*.f32 #s(literal 1/4 binary32) (sinh.f32 (/.f32 (neg.f32 r) s)))) (*.f32 (*.f32 #s(literal 1/4 binary32) (cosh.f32 (/.f32 r s))) (*.f32 #s(literal 1/4 binary32) (sinh.f32 (/.f32 (neg.f32 r) s)))))))
(fma.f32 (cosh.f32 (/.f32 r s)) #s(literal 1/4 binary32) (*.f32 (sinh.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)))
(fma.f32 #s(literal 1/4 binary32) (cosh.f32 (/.f32 r s)) (*.f32 #s(literal 1/4 binary32) (sinh.f32 (/.f32 (neg.f32 r) s))))
(+.f32 (*.f32 (cosh.f32 (/.f32 r s)) #s(literal 1/4 binary32)) (*.f32 (sinh.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/4 binary32)))
(+.f32 (*.f32 #s(literal 1/4 binary32) (cosh.f32 (/.f32 r s))) (*.f32 #s(literal 1/4 binary32) (sinh.f32 (/.f32 (neg.f32 r) s))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 s #s(literal 2 binary32))))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) #s(literal 2 binary32)) s))
(*.f32 (*.f32 s #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 (PI.f32) s) #s(literal 2 binary32))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) s))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) s))
(*.f32 s (*.f32 (PI.f32) #s(literal 2 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 (PI.f32) s) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) s) #s(literal 3 binary32))) (fma.f32 (*.f32 (PI.f32) s) (*.f32 (PI.f32) s) (-.f32 (*.f32 (*.f32 (PI.f32) s) (*.f32 (PI.f32) s)) (*.f32 (*.f32 (PI.f32) s) (*.f32 (PI.f32) s)))))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) s) (*.f32 (PI.f32) s))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) s) (*.f32 (PI.f32) s))
(fma.f32 (PI.f32) s (*.f32 (PI.f32) s))
(fma.f32 s (PI.f32) (*.f32 (PI.f32) s))
(+.f32 (*.f32 (PI.f32) s) (*.f32 (PI.f32) s))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) #s(literal 6 binary32)) (*.f32 s r)))
(*.f32 (*.f32 r (*.f32 #s(literal 6 binary32) (PI.f32))) s)
(*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))
(*.f32 (*.f32 s r) (*.f32 #s(literal 6 binary32) (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) (*.f32 s r))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(*.f32 #s(literal 6 binary32) (*.f32 (PI.f32) (*.f32 s r)))
(*.f32 (PI.f32) (*.f32 #s(literal 6 binary32) (*.f32 s r)))
(*.f32 s (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r))
(*.f32 r (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 s r)))
(*.f32 (*.f32 r (*.f32 (PI.f32) #s(literal 2 binary32))) s)
(*.f32 (*.f32 r #s(literal 2 binary32)) (*.f32 (PI.f32) s))
(*.f32 (*.f32 s r) (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r)
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 s r))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (*.f32 s r)))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 s r)))
(*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) r))
(*.f32 r (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s))
(/.f32 (neg.f32 (neg.f32 (/.f32 r #s(literal -3 binary32)))) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 (/.f32 r #s(literal -3 binary32))) (neg.f32 s))
(/.f32 (neg.f32 (/.f32 (neg.f32 r) s)) #s(literal -3 binary32))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(/.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))
(/.f32 (neg.f32 r) (neg.f32 (*.f32 #s(literal -3 binary32) s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(/.f32 r (neg.f32 (neg.f32 (*.f32 #s(literal -3 binary32) s))))
(/.f32 r (*.f32 #s(literal -3 binary32) s))
(neg.f32 (/.f32 r (*.f32 #s(literal 3 binary32) s)))

eval132.0ms (1%)

Memory
4.6MiB live, 238.0MiB allocated; 60ms collecting garbage
Compiler

Compiled 30 190 to 2 196 computations (92.7% saved)

prune57.0ms (0.4%)

Memory
-1.9MiB live, 88.2MiB allocated; 11ms collecting garbage
Pruning

32 alts after pruning (32 fresh and 0 done)

PrunedKeptTotal
New62632658
Fresh000
Picked101
Done000
Total62732659
Accuracy
99.9%
Counts
659 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.3%
(fma.f32 (/.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s))) (/.f32 (*.f32 (*.f32 s r) (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 3/4 binary32))) r) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)))))
97.3%
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (*.f32 s r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
97.6%
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
99.7%
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) (/.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r) (*.f32 #s(literal 6 binary32) (PI.f32))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
99.6%
(fma.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r) (*.f32 (PI.f32) s)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
99.6%
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (PI.f32) (*.f32 s r))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
99.6%
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) (*.f32 s r))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))))
99.6%
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
99.6%
(/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) r)
99.2%
(/.f32 (fma.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32)) r (*.f32 (*.f32 s r) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (exp.f32 (/.f32 (neg.f32 r) s))))) (*.f32 (*.f32 s r) r))
61.6%
(/.f32 (fma.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (*.f32 (*.f32 s r) (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 3/4 binary32)))) (*.f32 (*.f32 s r) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
10.2%
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r)))
99.6%
(+.f32 (/.f32 (*.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r) (*.f32 r r)) (/.f32 (*.f32 r (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))) (*.f32 r r)))
99.6%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (PI.f32) (*.f32 #s(literal 6 binary32) (*.f32 s r)))))
99.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/8 binary32) r)) (PI.f32)) s)))
10.8%
(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 1/1296 binary32) (*.f32 #s(literal -1/144 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/24 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))))
10.9%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/144 binary32) #s(literal -1/24 binary32)) (PI.f32)) s)) s)))
10.2%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal -1/24 binary32) r) s)) (*.f32 s s)) r (/.f32 #s(literal -1/4 binary32) s)) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
8.9%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) #s(literal 1/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
99.5%
(+.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
9.1%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/8 binary32) (/.f32 #s(literal 1/8 binary32) 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)))
8.9%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
8.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32))) s))
8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) (/.f32 r (PI.f32))) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)))) s))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) r))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/6 binary32) s)) (PI.f32)) (neg.f32 s)))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
10.2%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 #s(literal 7/324 binary32) (*.f32 r (/.f32 r (PI.f32)))) s)) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32))) s) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
Compiler

Compiled 2 734 to 1 926 computations (29.6% saved)

simplify190.0ms (1.5%)

Memory
-6.5MiB live, 174.8MiB allocated; 34ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))
cost-diff0
(/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 6 binary32))
cost-diff1
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)))
cost-diff8
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
cost-diff0
(/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32))
cost-diff0
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
cost-diff1
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))
cost-diff2
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32)))
cost-diff1
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
cost-diff1
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
cost-diff1
(/.f32 (*.f32 #s(literal 3/4 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-diff1
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
cost-diff0
(*.f32 (PI.f32) s)
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
cost-diff0
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
cost-diff0
(/.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r) (*.f32 #s(literal 6 binary32) (PI.f32)))
cost-diff0
(/.f32 #s(literal 3/4 binary32) s)
cost-diff1
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)))
cost-diff8
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) (/.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r) (*.f32 #s(literal 6 binary32) (PI.f32))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066531
0107534
1211518
2658475
33306475
08290474
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) (/.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r) (*.f32 #s(literal 6 binary32) (PI.f32))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(/.f32 #s(literal 3/4 binary32) s)
#s(literal 3/4 binary32)
s
(/.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r) (*.f32 #s(literal 6 binary32) (PI.f32)))
(/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r)
(exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(/.f32 r #s(literal -3 binary32))
r
#s(literal -3 binary32)
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)
(PI.f32)
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)))
#s(literal 1/8 binary32)
(/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
#s(literal 1/4 binary32)
(*.f32 (PI.f32) s)
(PI.f32)
s
r
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))
#s(literal 1/8 binary32)
(*.f32 (PI.f32) s)
(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 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(neg.f32 r)
(*.f32 #s(literal 3 binary32) s)
#s(literal 3 binary32)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32)))
(/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32))
(exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(/.f32 r #s(literal -3 binary32))
r
#s(literal -3 binary32)
s
(PI.f32)
#s(literal 1/8 binary32)
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))
(/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
(*.f32 s r)
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 6 binary32))
(exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(/.f32 r #s(literal -3 binary32))
r
#s(literal -3 binary32)
s
#s(literal 6 binary32)
(/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
#s(literal 3/4 binary32)
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
(PI.f32)
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)))
#s(literal 1/8 binary32)
(/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
Outputs
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) (/.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r) (*.f32 #s(literal 6 binary32) (PI.f32))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s)))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(literal 3/4 binary32) s)
#s(literal 3/4 binary32)
s
(/.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r) (*.f32 #s(literal 6 binary32) (PI.f32)))
(/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))
(/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r)
(exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(/.f32 r #s(literal -3 binary32))
r
#s(literal -3 binary32)
(*.f32 #s(literal 6 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 6 binary32))
#s(literal 6 binary32)
(PI.f32)
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r))
#s(literal 1/8 binary32)
(/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
#s(literal 1/4 binary32)
(*.f32 (PI.f32) s)
(PI.f32)
s
r
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(fma.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) s) (PI.f32)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) s) (PI.f32))))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) s) (PI.f32)))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) s) (PI.f32))
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))
#s(literal 1/8 binary32)
(*.f32 (PI.f32) s)
(PI.f32)
s
r
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) s) (PI.f32)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
(/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(neg.f32 r)
(*.f32 #s(literal 3 binary32) s)
#s(literal 3 binary32)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 (*.f32 (PI.f32) s) #s(literal 6 binary32)) r)
(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 (*.f32 (PI.f32) s) #s(literal 6 binary32))
(*.f32 #s(literal 6 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 6 binary32))
#s(literal 6 binary32)
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s)))) (*.f32 (*.f32 (PI.f32) s) r))
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32)))
(*.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))))
(/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32))
(exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(/.f32 r #s(literal -3 binary32))
r
#s(literal -3 binary32)
s
(PI.f32)
#s(literal 1/8 binary32)
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))
(/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (PI.f32))
(/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
(*.f32 s r)
(*.f32 r s)
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s)))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 6 binary32))
(exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(/.f32 r #s(literal -3 binary32))
r
#s(literal -3 binary32)
s
#s(literal 6 binary32)
(/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
#s(literal 3/4 binary32)
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
(PI.f32)
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r))
#s(literal 1/8 binary32)
(/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)

localize251.0ms (2%)

Memory
17.3MiB live, 402.4MiB allocated; 26ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.234375
(/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
accuracy0.25390625
(*.f32 (*.f32 (PI.f32) s) r)
accuracy0.36328125
(*.f32 (PI.f32) s)
accuracy0.6288511617502098
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
accuracy0.049160009768442016
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
accuracy0.08756509999974788
(exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))
accuracy0.09354367311185248
(exp.f32 (/.f32 (neg.f32 r) s))
accuracy0.1640625
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
accuracy0.28515625
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
accuracy0.31640625
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)
accuracy0.36328125
(*.f32 (PI.f32) s)
accuracy29.290507949377155
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r))
accuracy0.23828125
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
accuracy0.31640625
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
accuracy0.36328125
(*.f32 (PI.f32) s)
accuracy29.19510814029742
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
accuracy0.09354367311185248
(exp.f32 (/.f32 (neg.f32 r) s))
accuracy0.1640625
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
accuracy0.25390625
(*.f32 (*.f32 (PI.f32) s) r)
accuracy0.36328125
(*.f32 (PI.f32) s)
Samples
168.0ms256×0valid
Compiler

Compiled 513 to 56 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-mult: 38.0ms (43.1% of total)
ival-div: 37.0ms (42% of total)
ival-exp: 6.0ms (6.8% of total)
ival-add: 4.0ms (4.5% of total)
ival-pi: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series75.0ms (0.6%)

Memory
-13.7MiB live, 83.6MiB allocated; 38ms collecting garbage
Counts
26 → 118
Calls
Call 1
Inputs
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) (/.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r) (*.f32 #s(literal 6 binary32) (PI.f32))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 #s(literal 3/4 binary32) s)
(/.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r) (*.f32 #s(literal 6 binary32) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
(*.f32 (PI.f32) s)
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32)))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32))
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 6 binary32))
(exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))
(*.f32 (*.f32 (PI.f32) s) r)
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(exp.f32 (/.f32 (neg.f32 r) s))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
Outputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/ 3/4 s)
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* s (PI)))
(* s (PI))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 3/4 (exp (* -1/3 (/ r s))))
(* -1/3 (/ r s))
(+ (* 1/8 (/ (exp (* -1 (/ r s))) (PI))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))))
(* 1/8 (/ (exp (* -1 (/ r s))) (PI)))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (PI))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI)))) (* r s))
(/ (exp (* -1/3 (/ r s))) (PI))
(* 1/6 (exp (* -1/3 (/ r s))))
(exp (* -1/3 (/ r s)))
(* r (* s (PI)))
(exp (* -1 (/ r s)))
(/ 1/8 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(/ 3/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ (- (* 1/8 (/ 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)
(/ 1/6 (* 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))))
(/ (- (* 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)
3/4
(+ 3/4 (* -1/4 (/ r s)))
(+ 3/4 (+ (* -1/4 (/ r s)) (* 1/24 (/ (pow r 2) (pow s 2)))))
(+ 3/4 (+ (* -1/4 (/ r s)) (+ (* -1/216 (/ (pow r 3) (pow s 3))) (* 1/24 (/ (pow r 2) (pow s 2))))))
(/ 1/4 (PI))
(+ (* -1/8 (/ r (* s (PI)))) (+ (* -1/24 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))))
(+ (* -1/8 (/ r (* s (PI)))) (+ (* -1/24 (/ r (* s (PI)))) (+ (* 1/144 (/ (pow r 2) (* (pow s 2) (PI)))) (+ (* 1/16 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/4 (/ 1 (PI)))))))
(+ (* -1/8 (/ r (* s (PI)))) (+ (* -1/24 (/ r (* s (PI)))) (+ (* -1/48 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* 1/144 (/ (pow r 2) (* (pow s 2) (PI)))) (+ (* 1/16 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/4 (/ 1 (PI)))))))))
(/ 1/8 (PI))
(+ (* -1/8 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI))))
(+ (* -1/8 (/ r (* s (PI)))) (+ (* 1/16 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/8 (/ 1 (PI)))))
(+ (* -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))))))
(/ 1 (PI))
(+ (* -1/3 (/ r (* s (PI)))) (/ 1 (PI)))
(+ (* -1/3 (/ r (* s (PI)))) (+ (* 1/18 (/ (pow r 2) (* (pow s 2) (PI)))) (/ 1 (PI))))
(+ (* -1/3 (/ r (* s (PI)))) (+ (* -1/162 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* 1/18 (/ (pow r 2) (* (pow s 2) (PI)))) (/ 1 (PI)))))
1/6
(+ 1/6 (* -1/18 (/ r s)))
(+ 1/6 (+ (* -1/18 (/ r s)) (* 1/108 (/ (pow r 2) (pow s 2)))))
(+ 1/6 (+ (* -1/18 (/ r s)) (+ (* -1/972 (/ (pow r 3) (pow s 3))) (* 1/108 (/ (pow r 2) (pow s 2))))))
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 (/ 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 (/ (- (* 1/6 (/ 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 (/ (- (* 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 (/ (+ (* -1/108 (/ r (* s (PI)))) (* 1/18 (/ 1 (PI)))) s)) (* 1/6 (/ 1 (* r (PI)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/972 (/ (pow r 2) (* s (PI)))) (* 1/108 (/ r (PI)))) s)) (* 1/18 (/ 1 (PI)))) s)) (* 1/6 (/ 1 (* r (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))
(+ 3/4 (* -1 (/ (+ (* -1/24 (/ (pow r 2) s)) (* 1/4 r)) s)))
(+ 3/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/216 (/ (pow r 3) s)) (* 1/24 (pow r 2))) s)) (* 1/4 r)) s)))
(+ (* -1 (/ (+ (* 1/24 (/ r (PI))) (* 1/8 (/ r (PI)))) s)) (* 1/4 (/ 1 (PI))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/144 (/ (pow r 2) (PI))) (* 1/16 (/ (pow r 2) (PI)))) s)) (+ (* 1/24 (/ r (PI))) (* 1/8 (/ r (PI))))) s)) (* 1/4 (/ 1 (PI))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/1296 (/ (pow r 3) (PI))) (* 1/48 (/ (pow r 3) (PI)))) s)) (+ (* 1/144 (/ (pow r 2) (PI))) (* 1/16 (/ (pow r 2) (PI))))) s)) (+ (* 1/24 (/ r (PI))) (* 1/8 (/ r (PI))))) s)) (* 1/4 (/ 1 (PI))))
(+ (* -1 (/ (+ (* -1/16 (/ (pow r 2) (* s (PI)))) (* 1/8 (/ r (PI)))) s)) (* 1/8 (/ 1 (PI))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 3) (* s (PI)))) (* 1/16 (/ (pow r 2) (PI)))) s)) (* 1/8 (/ r (PI)))) s)) (* 1/8 (/ 1 (PI))))
(* -1 (/ (- (* -1 (/ (- (+ (* 1/144 (/ r (* s (PI)))) (* 1/16 (/ r (* s (PI))))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (+ (* 1/144 (/ r (PI))) (* 1/16 (/ r (PI))))) (+ (* 1/1296 (/ (pow r 2) (* s (PI)))) (* 1/48 (/ (pow r 2) (* s (PI)))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(+ (* -1 (/ (+ (* -1/18 (/ (pow r 2) (* s (PI)))) (* 1/3 (/ r (PI)))) s)) (/ 1 (PI)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) (* s (PI)))) (* 1/18 (/ (pow r 2) (PI)))) s)) (* 1/3 (/ r (PI)))) s)) (/ 1 (PI)))
(+ 1/6 (* -1 (/ (+ (* -1/108 (/ (pow r 2) s)) (* 1/18 r)) s)))
(+ 1/6 (* -1 (/ (+ (* -1 (/ (+ (* -1/972 (/ (pow r 3) s)) (* 1/108 (pow r 2))) s)) (* 1/18 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 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* -1/8 (/ r (* (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)
(/ (+ (* -1/18 (/ 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)
(/ (+ (* -1/24 (/ 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)
(+ 3/4 (* r (- (* 1/24 (/ r (pow s 2))) (* 1/4 (/ 1 s)))))
(+ 3/4 (* r (- (* r (+ (* -1/216 (/ r (pow s 3))) (* 1/24 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI))))
(+ (* r (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI))))
(+ (* 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 (- (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI)))))) (* 1/8 (/ 1 (PI))))
(+ (* r (- (* r (+ (* -1/48 (/ r (* (pow s 3) (PI)))) (* 1/16 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI)))))) (* 1/8 (/ 1 (PI))))
(+ (* r (- (* 1/18 (/ r (* (pow s 2) (PI)))) (* 1/3 (/ 1 (* s (PI)))))) (/ 1 (PI)))
(+ (* r (- (* r (+ (* -1/162 (/ r (* (pow s 3) (PI)))) (* 1/18 (/ 1 (* (pow s 2) (PI)))))) (* 1/3 (/ 1 (* s (PI)))))) (/ 1 (PI)))
(+ 1/6 (* r (- (* 1/108 (/ r (pow s 2))) (* 1/18 (/ 1 s)))))
(+ 1/6 (* r (- (* r (+ (* -1/972 (/ r (pow s 3))) (* 1/108 (/ 1 (pow s 2))))) (* 1/18 (/ 1 s)))))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(+ 1 (* 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))))
(/ (+ (* 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))
Calls

6 calls:

TimeVariablePointExpression
31.0ms
s
@inf
((+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r))) (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (/ 1/4 (* (PI) s)) r) (/ 1/4 (* (PI) s)) (* (PI) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* 3/4 (exp (/ (neg r) (* 3 s)))) (/ (neg r) (* 3 s)) (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (* (/ (exp (/ (neg r) s)) (PI)) 1/8) (/ (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (* s r)) (/ (exp (/ (/ r -3) s)) (PI)) (+ (* (/ (exp (/ (/ r -3) s)) 6) (/ 3/4 (* (* (PI) s) r))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/ (exp (/ (/ r -3) s)) 6) (exp (/ (/ r -3) s)) (* (* (PI) s) r) (/ (/ r -3) s) (exp (/ (neg r) s)) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ 1/8 (* (PI) s)) r) (* (* (* 6 (PI)) s) r) (/ 3/4 (* (* (PI) s) r)))
11.0ms
r
@inf
((+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r))) (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (/ 1/4 (* (PI) s)) r) (/ 1/4 (* (PI) s)) (* (PI) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* 3/4 (exp (/ (neg r) (* 3 s)))) (/ (neg r) (* 3 s)) (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (* (/ (exp (/ (neg r) s)) (PI)) 1/8) (/ (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (* s r)) (/ (exp (/ (/ r -3) s)) (PI)) (+ (* (/ (exp (/ (/ r -3) s)) 6) (/ 3/4 (* (* (PI) s) r))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/ (exp (/ (/ r -3) s)) 6) (exp (/ (/ r -3) s)) (* (* (PI) s) r) (/ (/ r -3) s) (exp (/ (neg r) s)) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ 1/8 (* (PI) s)) r) (* (* (* 6 (PI)) s) r) (/ 3/4 (* (* (PI) s) r)))
10.0ms
r
@0
((+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r))) (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (/ 1/4 (* (PI) s)) r) (/ 1/4 (* (PI) s)) (* (PI) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* 3/4 (exp (/ (neg r) (* 3 s)))) (/ (neg r) (* 3 s)) (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (* (/ (exp (/ (neg r) s)) (PI)) 1/8) (/ (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (* s r)) (/ (exp (/ (/ r -3) s)) (PI)) (+ (* (/ (exp (/ (/ r -3) s)) 6) (/ 3/4 (* (* (PI) s) r))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/ (exp (/ (/ r -3) s)) 6) (exp (/ (/ r -3) s)) (* (* (PI) s) r) (/ (/ r -3) s) (exp (/ (neg r) s)) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ 1/8 (* (PI) s)) r) (* (* (* 6 (PI)) s) r) (/ 3/4 (* (* (PI) s) r)))
7.0ms
r
@-inf
((+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r))) (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (/ 1/4 (* (PI) s)) r) (/ 1/4 (* (PI) s)) (* (PI) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* 3/4 (exp (/ (neg r) (* 3 s)))) (/ (neg r) (* 3 s)) (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (* (/ (exp (/ (neg r) s)) (PI)) 1/8) (/ (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (* s r)) (/ (exp (/ (/ r -3) s)) (PI)) (+ (* (/ (exp (/ (/ r -3) s)) 6) (/ 3/4 (* (* (PI) s) r))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/ (exp (/ (/ r -3) s)) 6) (exp (/ (/ r -3) s)) (* (* (PI) s) r) (/ (/ r -3) s) (exp (/ (neg r) s)) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ 1/8 (* (PI) s)) r) (* (* (* 6 (PI)) s) r) (/ 3/4 (* (* (PI) s) r)))
7.0ms
s
@0
((+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r))) (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (/ 1/4 (* (PI) s)) r) (/ 1/4 (* (PI) s)) (* (PI) s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* 3/4 (exp (/ (neg r) (* 3 s)))) (/ (neg r) (* 3 s)) (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (* (/ (exp (/ (neg r) s)) (PI)) 1/8) (/ (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (* s r)) (/ (exp (/ (/ r -3) s)) (PI)) (+ (* (/ (exp (/ (/ r -3) s)) 6) (/ 3/4 (* (* (PI) s) r))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/ (exp (/ (/ r -3) s)) 6) (exp (/ (/ r -3) s)) (* (* (PI) s) r) (/ (/ r -3) s) (exp (/ (neg r) s)) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ 1/8 (* (PI) s)) r) (* (* (* 6 (PI)) s) r) (/ 3/4 (* (* (PI) s) r)))

simplify213.0ms (1.7%)

Memory
35.1MiB live, 217.4MiB allocated; 23ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06022341
120052179
270302156
082352031
Stop Event
iter limit
node limit
Counts
118 → 118
Calls
Call 1
Inputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/ 3/4 s)
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(/ 1/4 (* r (* s (PI))))
(/ 1/4 (* s (PI)))
(* s (PI))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 3/4 (exp (* -1/3 (/ r s))))
(* -1/3 (/ r s))
(+ (* 1/8 (/ (exp (* -1 (/ r s))) (PI))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI))))
(* 1/8 (/ (exp (* -1 (/ r s))) (PI)))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (PI))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (PI)))) (* r s))
(/ (exp (* -1/3 (/ r s))) (PI))
(* 1/6 (exp (* -1/3 (/ r s))))
(exp (* -1/3 (/ r s)))
(* r (* s (PI)))
(exp (* -1 (/ r s)))
(/ 1/8 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(/ 3/4 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ (- (* 1/8 (/ 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)
(/ 1/6 (* 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))))
(/ (- (* 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)
3/4
(+ 3/4 (* -1/4 (/ r s)))
(+ 3/4 (+ (* -1/4 (/ r s)) (* 1/24 (/ (pow r 2) (pow s 2)))))
(+ 3/4 (+ (* -1/4 (/ r s)) (+ (* -1/216 (/ (pow r 3) (pow s 3))) (* 1/24 (/ (pow r 2) (pow s 2))))))
(/ 1/4 (PI))
(+ (* -1/8 (/ r (* s (PI)))) (+ (* -1/24 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))))
(+ (* -1/8 (/ r (* s (PI)))) (+ (* -1/24 (/ r (* s (PI)))) (+ (* 1/144 (/ (pow r 2) (* (pow s 2) (PI)))) (+ (* 1/16 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/4 (/ 1 (PI)))))))
(+ (* -1/8 (/ r (* s (PI)))) (+ (* -1/24 (/ r (* s (PI)))) (+ (* -1/48 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* 1/144 (/ (pow r 2) (* (pow s 2) (PI)))) (+ (* 1/16 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/4 (/ 1 (PI)))))))))
(/ 1/8 (PI))
(+ (* -1/8 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI))))
(+ (* -1/8 (/ r (* s (PI)))) (+ (* 1/16 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/8 (/ 1 (PI)))))
(+ (* -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))))))
(/ 1 (PI))
(+ (* -1/3 (/ r (* s (PI)))) (/ 1 (PI)))
(+ (* -1/3 (/ r (* s (PI)))) (+ (* 1/18 (/ (pow r 2) (* (pow s 2) (PI)))) (/ 1 (PI))))
(+ (* -1/3 (/ r (* s (PI)))) (+ (* -1/162 (/ (pow r 3) (* (pow s 3) (PI)))) (+ (* 1/18 (/ (pow r 2) (* (pow s 2) (PI)))) (/ 1 (PI)))))
1/6
(+ 1/6 (* -1/18 (/ r s)))
(+ 1/6 (+ (* -1/18 (/ r s)) (* 1/108 (/ (pow r 2) (pow s 2)))))
(+ 1/6 (+ (* -1/18 (/ r s)) (+ (* -1/972 (/ (pow r 3) (pow s 3))) (* 1/108 (/ (pow r 2) (pow s 2))))))
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 (/ 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 (/ (- (* 1/6 (/ 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 (/ (- (* 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 (/ (+ (* -1/108 (/ r (* s (PI)))) (* 1/18 (/ 1 (PI)))) s)) (* 1/6 (/ 1 (* r (PI)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/972 (/ (pow r 2) (* s (PI)))) (* 1/108 (/ r (PI)))) s)) (* 1/18 (/ 1 (PI)))) s)) (* 1/6 (/ 1 (* r (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))
(+ 3/4 (* -1 (/ (+ (* -1/24 (/ (pow r 2) s)) (* 1/4 r)) s)))
(+ 3/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/216 (/ (pow r 3) s)) (* 1/24 (pow r 2))) s)) (* 1/4 r)) s)))
(+ (* -1 (/ (+ (* 1/24 (/ r (PI))) (* 1/8 (/ r (PI)))) s)) (* 1/4 (/ 1 (PI))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/144 (/ (pow r 2) (PI))) (* 1/16 (/ (pow r 2) (PI)))) s)) (+ (* 1/24 (/ r (PI))) (* 1/8 (/ r (PI))))) s)) (* 1/4 (/ 1 (PI))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/1296 (/ (pow r 3) (PI))) (* 1/48 (/ (pow r 3) (PI)))) s)) (+ (* 1/144 (/ (pow r 2) (PI))) (* 1/16 (/ (pow r 2) (PI))))) s)) (+ (* 1/24 (/ r (PI))) (* 1/8 (/ r (PI))))) s)) (* 1/4 (/ 1 (PI))))
(+ (* -1 (/ (+ (* -1/16 (/ (pow r 2) (* s (PI)))) (* 1/8 (/ r (PI)))) s)) (* 1/8 (/ 1 (PI))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 3) (* s (PI)))) (* 1/16 (/ (pow r 2) (PI)))) s)) (* 1/8 (/ r (PI)))) s)) (* 1/8 (/ 1 (PI))))
(* -1 (/ (- (* -1 (/ (- (+ (* 1/144 (/ r (* s (PI)))) (* 1/16 (/ r (* s (PI))))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (+ (* 1/144 (/ r (PI))) (* 1/16 (/ r (PI))))) (+ (* 1/1296 (/ (pow r 2) (* s (PI)))) (* 1/48 (/ (pow r 2) (* s (PI)))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(+ (* -1 (/ (+ (* -1/18 (/ (pow r 2) (* s (PI)))) (* 1/3 (/ r (PI)))) s)) (/ 1 (PI)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) (* s (PI)))) (* 1/18 (/ (pow r 2) (PI)))) s)) (* 1/3 (/ r (PI)))) s)) (/ 1 (PI)))
(+ 1/6 (* -1 (/ (+ (* -1/108 (/ (pow r 2) s)) (* 1/18 r)) s)))
(+ 1/6 (* -1 (/ (+ (* -1 (/ (+ (* -1/972 (/ (pow r 3) s)) (* 1/108 (pow r 2))) s)) (* 1/18 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 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* -1/8 (/ r (* (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)
(/ (+ (* -1/18 (/ 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)
(/ (+ (* -1/24 (/ 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)
(+ 3/4 (* r (- (* 1/24 (/ r (pow s 2))) (* 1/4 (/ 1 s)))))
(+ 3/4 (* r (- (* r (+ (* -1/216 (/ r (pow s 3))) (* 1/24 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI))))
(+ (* r (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI))))
(+ (* 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 (- (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI)))))) (* 1/8 (/ 1 (PI))))
(+ (* r (- (* r (+ (* -1/48 (/ r (* (pow s 3) (PI)))) (* 1/16 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI)))))) (* 1/8 (/ 1 (PI))))
(+ (* r (- (* 1/18 (/ r (* (pow s 2) (PI)))) (* 1/3 (/ 1 (* s (PI)))))) (/ 1 (PI)))
(+ (* r (- (* r (+ (* -1/162 (/ r (* (pow s 3) (PI)))) (* 1/18 (/ 1 (* (pow s 2) (PI)))))) (* 1/3 (/ 1 (* s (PI)))))) (/ 1 (PI)))
(+ 1/6 (* r (- (* 1/108 (/ r (pow s 2))) (* 1/18 (/ 1 s)))))
(+ 1/6 (* r (- (* r (+ (* -1/972 (/ r (pow s 3))) (* 1/108 (/ 1 (pow s 2))))) (* 1/18 (/ 1 s)))))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(+ 1 (* r (- (* r (+ (* -1/162 (/ r (pow s 3))) (* 1/18 (/ 1 (pow s 2))))) (* 1/3 (/ 1 s)))))
(+ 1 (* 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))))
(/ (+ (* 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))
Outputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(*.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s))) (*.f32 (PI.f32) s)) r))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) r)))
(/ 3/4 s)
(/.f32 #s(literal 3/4 binary32) s)
(* 1/6 (/ (exp (* -1/3 (/ r s))) (* r (PI))))
(*.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)))
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r)
(/ 1/4 (* s (PI)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s)
(* s (PI))
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(fma.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 (/.f32 r s) (PI.f32))) #s(literal -1/16 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 1/8 binary32))) s) #s(literal -1 binary32) (/.f32 #s(literal 1/8 binary32) (PI.f32)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 3) (* s (PI)))) (* 1/16 (/ (pow r 2) (PI)))) s)) (* 1/8 (/ r (PI)))) s)) (* 1/8 (/ 1 (PI))))
(-.f32 (/.f32 (fma.f32 (/.f32 r (PI.f32)) #s(literal 1/8 binary32) (/.f32 (fma.f32 (/.f32 (/.f32 (pow.f32 r #s(literal 3 binary32)) (PI.f32)) s) #s(literal -1/48 binary32) (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal 1/16 binary32))) (neg.f32 s))) (neg.f32 s)) (/.f32 #s(literal -1/8 binary32) (PI.f32)))
(* -1 (/ (- (* -1 (/ (- (+ (* 1/144 (/ r (* s (PI)))) (* 1/16 (/ r (* s (PI))))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (+ (* 1/144 (/ r (PI))) (* 1/16 (/ r (PI))))) (+ (* 1/1296 (/ (pow r 2) (* s (PI)))) (* 1/48 (/ (pow r 2) (* s (PI)))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 7/324 binary32) (*.f32 r (/.f32 (/.f32 r s) (PI.f32))) (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)))) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))
(+ (* -1 (/ (+ (* -1/18 (/ (pow r 2) (* s (PI)))) (* 1/3 (/ r (PI)))) s)) (/ 1 (PI)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 r (PI.f32)) (*.f32 (*.f32 r (/.f32 (/.f32 r s) (PI.f32))) #s(literal -1/18 binary32))) s) #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/162 (/ (pow r 3) (* s (PI)))) (* 1/18 (/ (pow r 2) (PI)))) s)) (* 1/3 (/ r (PI)))) s)) (/ 1 (PI)))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/3 binary32) (/.f32 r (PI.f32)) (/.f32 (fma.f32 (/.f32 (/.f32 (pow.f32 r #s(literal 3 binary32)) (PI.f32)) s) #s(literal -1/162 binary32) (*.f32 (*.f32 r (/.f32 r (PI.f32))) #s(literal 1/18 binary32))) (neg.f32 s))) s) #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))
(+ 1/6 (* -1 (/ (+ (* -1/108 (/ (pow r 2) s)) (* 1/18 r)) s)))
(-.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/108 binary32) (*.f32 #s(literal 1/18 binary32) r)) s))
(+ 1/6 (* -1 (/ (+ (* -1 (/ (+ (* -1/972 (/ (pow r 3) s)) (* 1/108 (pow r 2))) s)) (* 1/18 r)) s)))
(-.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 #s(literal 1/18 binary32) r (/.f32 (fma.f32 (/.f32 (pow.f32 r #s(literal 3 binary32)) s) #s(literal -1/972 binary32) (*.f32 #s(literal 1/108 binary32) (*.f32 r r))) (neg.f32 s))) s))
(+ 1 (* -1 (/ (+ (* -1/18 (/ (pow r 2) s)) (* 1/3 r)) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 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 #s(literal 1/3 binary32) r (/.f32 (fma.f32 (*.f32 #s(literal 1/18 binary32) r) r (*.f32 (/.f32 (pow.f32 r #s(literal 3 binary32)) s) #s(literal -1/162 binary32))) (neg.f32 s))) s))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 r (/.f32 r s)) r) s))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 (/.f32 (pow.f32 r #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 r r))) s)) 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 (*.f32 s s) (PI.f32))) (/.f32 (/.f32 #s(literal 1/4 binary32) (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 (fma.f32 (/.f32 #s(literal 5/72 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 (/.f32 #s(literal 1/4 binary32) (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 (fma.f32 (fma.f32 (/.f32 r (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) r (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s)) r)
(/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(/ (+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(/ (+ (* r (- (* r (+ (* -1/48 (/ r (* (pow s 4) (PI)))) (* 1/16 (/ 1 (* (pow s 3) (PI)))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) r (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(/ (+ (* -1/18 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) r)
(/.f32 (fma.f32 #s(literal -1/18 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.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 (fma.f32 (/.f32 #s(literal 1/108 binary32) (PI.f32)) (/.f32 (/.f32 r s) s) (/.f32 (/.f32 #s(literal -1/18 binary32) s) (PI.f32))) r (/.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 (fma.f32 (fma.f32 (/.f32 r (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) #s(literal -1/972 binary32) (/.f32 #s(literal 1/108 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 (/.f32 #s(literal -1/18 binary32) s) (PI.f32))) r (/.f32 #s(literal 1/6 binary32) (PI.f32))) r)
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/144 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 r (PI.f32)) (/.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s s)) (PI.f32))) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(/ (+ (* r (- (* r (+ (* -1/1296 (/ r (* (pow s 4) (PI)))) (* 1/144 (/ 1 (* (pow s 3) (PI)))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32))) #s(literal -1/1296 binary32) (/.f32 #s(literal 1/144 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) r (/.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s s)) (PI.f32))) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(+ 3/4 (* r (- (* 1/24 (/ r (pow s 2))) (* 1/4 (/ 1 s)))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/24 binary32) s) (/.f32 r s) (/.f32 #s(literal -1/4 binary32) s)) r #s(literal 3/4 binary32))
(+ 3/4 (* r (- (* r (+ (* -1/216 (/ r (pow s 3))) (* 1/24 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal -1/216 binary32) (/.f32 #s(literal 1/24 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/4 binary32) s)) r #s(literal 3/4 binary32))
(+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI))))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (PI.f32)))
(+ (* r (- (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/6 (/ 1 (* s (PI)))))) (* 1/4 (/ 1 (PI))))
(fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) r (/.f32 #s(literal 1/4 binary32) (PI.f32)))
(+ (* 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))))
(fma.f32 (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) r (/.f32 #s(literal 1/4 binary32) (PI.f32)))
(+ (* r (- (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI)))))) (* 1/8 (/ 1 (PI))))
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/8 binary32) (PI.f32))) s) r (/.f32 #s(literal 1/8 binary32) (PI.f32)))
(+ (* r (- (* r (+ (* -1/48 (/ r (* (pow s 3) (PI)))) (* 1/16 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI)))))) (* 1/8 (/ 1 (PI))))
(fma.f32 (fma.f32 (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32))) (*.f32 r (/.f32 r (PI.f32))) (/.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) s) (/.f32 r (PI.f32)) (/.f32 #s(literal -1/8 binary32) (PI.f32))) s)) r (/.f32 #s(literal 1/8 binary32) (PI.f32)))
(+ (* r (- (* 1/18 (/ r (* (pow s 2) (PI)))) (* 1/3 (/ 1 (* s (PI)))))) (/ 1 (PI)))
(fma.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/18 binary32) s) s) (/.f32 r (PI.f32)) (/.f32 (/.f32 #s(literal -1/3 binary32) s) (PI.f32))) r (/.f32 #s(literal 1 binary32) (PI.f32)))
(+ (* r (- (* r (+ (* -1/162 (/ r (* (pow s 3) (PI)))) (* 1/18 (/ 1 (* (pow s 2) (PI)))))) (* 1/3 (/ 1 (* s (PI)))))) (/ 1 (PI)))
(fma.f32 (fma.f32 (fma.f32 (/.f32 r (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) #s(literal -1/162 binary32) (/.f32 #s(literal 1/18 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 (/.f32 #s(literal -1/3 binary32) s) (PI.f32))) r (/.f32 #s(literal 1 binary32) (PI.f32)))
(+ 1/6 (* r (- (* 1/108 (/ r (pow s 2))) (* 1/18 (/ 1 s)))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/108 binary32) s) (/.f32 r s) (/.f32 #s(literal -1/18 binary32) s)) r #s(literal 1/6 binary32))
(+ 1/6 (* r (- (* r (+ (* -1/972 (/ r (pow s 3))) (* 1/108 (/ 1 (pow s 2))))) (* 1/18 (/ 1 s)))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal -1/972 binary32) (/.f32 #s(literal 1/108 binary32) (*.f32 s s))) r (/.f32 #s(literal -1/18 binary32) s)) r #s(literal 1/6 binary32))
(+ 1 (* r (- (* 1/18 (/ r (pow s 2))) (* 1/3 (/ 1 s)))))
(fma.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/18 binary32) s) s) r (/.f32 #s(literal -1/3 binary32) s)) r #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 (fma.f32 (fma.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal -1/162 binary32) (/.f32 (/.f32 #s(literal 1/18 binary32) s) s)) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) r) (/.f32 #s(literal 1 binary32) s)) r #s(literal 1 binary32))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) r) (/.f32 #s(literal 1 binary32) s)) r #s(literal 1 binary32))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(*.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s))) (*.f32 (PI.f32) s)) r))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(*.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s))) (*.f32 (PI.f32) s)) r))

rewrite734.0ms (5.7%)

Memory
-7.8MiB live, 269.6MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066347
0107340
1340310
22733310
08150306
Stop Event
iter limit
node limit
iter limit
Counts
26 → 978
Calls
Call 1
Inputs
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) (/.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r) (*.f32 #s(literal 6 binary32) (PI.f32))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 #s(literal 3/4 binary32) s)
(/.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r) (*.f32 #s(literal 6 binary32) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r)
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
(*.f32 (PI.f32) s)
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32)))
(*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32))
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 6 binary32))
(exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))
(*.f32 (*.f32 (PI.f32) s) r)
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(exp.f32 (/.f32 (neg.f32 r) s))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
Outputs
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(fma.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (*.f32 (PI.f32) s) #s(literal 6 binary32)) r)) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))))
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(+.f32 (/.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) #s(literal 3 binary32)) (fma.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 2 binary32)) #s(literal 1/64 binary32) (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 6 binary32)) #s(literal 3/4 binary32) (*.f32 #s(literal -1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))) (*.f32 (*.f32 (PI.f32) s) r))))) (/.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32)) (fma.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 2 binary32)) #s(literal 1/64 binary32) (*.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 6 binary32)) #s(literal 3/4 binary32) (*.f32 #s(literal -1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s)))) (*.f32 (*.f32 (PI.f32) s) r))))))
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) s) #s(literal 6 binary32)) r))) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) r) (*.f32 (*.f32 (PI.f32) s) #s(literal 6 binary32)))) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #s(literal 3/4 binary32)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) r) (*.f32 (*.f32 (PI.f32) s) #s(literal 6 binary32)))))
(+.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))))
(+.f32 (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))))) #s(literal -6 binary32))
(/.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) #s(literal 6 binary32))
(/.f32 (neg.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) #s(literal -6 binary32))
(/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 6 binary32))
(+.f32 (/.f32 (cosh.f32 (/.f32 (/.f32 r #s(literal 3 binary32)) s)) #s(literal 6 binary32)) (/.f32 (sinh.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 6 binary32)))
(neg.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal -6 binary32)))
(cbrt.f32 (exp.f32 (/.f32 (neg.f32 r) s)))
(/.f32 (fma.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (/.f32 r #s(literal 3 binary32)) s)))) #s(literal 2 binary32))
(/.f32 (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (/.f32 r #s(literal 3 binary32)) s)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) #s(literal 2 binary32))
(/.f32 (neg.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 (/.f32 r #s(literal 3 binary32)) s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 (/.f32 r #s(literal 3 binary32)) s)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 (/.f32 r #s(literal 3 binary32)) s)) (sinh.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (neg.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (cbrt.f32 (exp.f32 (/.f32 r s)))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 (/.f32 r #s(literal 3 binary32)) s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (/.f32 (/.f32 r #s(literal 3 binary32)) s)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 (/.f32 r #s(literal 3 binary32)) s)) (sinh.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))))))
(/.f32 #s(literal 1 binary32) (cbrt.f32 (exp.f32 (/.f32 r s))))
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))))
(-.f32 (cosh.f32 (/.f32 (/.f32 r #s(literal 3 binary32)) s)) (sinh.f32 (/.f32 (/.f32 r #s(literal 3 binary32)) s)))
(pow.f32 (cbrt.f32 (exp.f32 (/.f32 r s))) #s(literal -1 binary32))
(+.f32 (sinh.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (cosh.f32 (/.f32 (/.f32 r #s(literal 3 binary32)) s)))
(+.f32 (cosh.f32 (/.f32 (/.f32 r #s(literal 3 binary32)) s)) (sinh.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))
(exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 r s)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) s) r))
(*.f32 (*.f32 (PI.f32) r) s)
(*.f32 (*.f32 r (PI.f32)) s)
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 r s)))
(*.f32 (*.f32 r s) (PI.f32))
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 r (*.f32 (PI.f32) s))
(*.f32 s (*.f32 (PI.f32) r))
(/.f32 (neg.f32 (/.f32 (neg.f32 r) s)) #s(literal -3 binary32))
(/.f32 (/.f32 r #s(literal 3 binary32)) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (/.f32 r #s(literal 3 binary32)) (neg.f32 s))
(/.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))
(/.f32 (neg.f32 r) (neg.f32 (*.f32 #s(literal -3 binary32) s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(/.f32 (/.f32 r #s(literal -3 binary32)) (neg.f32 (neg.f32 s)))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(/.f32 r (neg.f32 (neg.f32 (*.f32 #s(literal -3 binary32) s))))
(/.f32 r (*.f32 #s(literal -3 binary32) s))
(neg.f32 (/.f32 (/.f32 r #s(literal 3 binary32)) s))
(/.f32 (fma.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (neg.f32 r) s)) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 r s)))) #s(literal 2 binary32))
(/.f32 (fma.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 r s)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (neg.f32 r) s)))) #s(literal 2 binary32))
(/.f32 (neg.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 r s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 r) s)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 r s)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 r) s)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 r s)) (sinh.f32 (/.f32 (neg.f32 r) s)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (neg.f32 (/.f32 (neg.f32 r) s)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 r s))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 r s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 r) s)) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (/.f32 r s)) #s(literal 2 binary32)) (-.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 r) s)) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 r s)) (sinh.f32 (/.f32 (neg.f32 r) s))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r s)))
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (neg.f32 r) s))))
(-.f32 (cosh.f32 (/.f32 r s)) (sinh.f32 (/.f32 r s)))
(pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1 binary32))
(+.f32 (sinh.f32 (/.f32 (neg.f32 r) s)) (cosh.f32 (/.f32 r s)))
(+.f32 (cosh.f32 (/.f32 r s)) (sinh.f32 (/.f32 (neg.f32 r) s)))
(exp.f32 (/.f32 (neg.f32 r) s))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) r)) (*.f32 (neg.f32 (PI.f32)) s))
(/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))
(/.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32))) (*.f32 (neg.f32 s) r))
(/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 r s))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)
(/.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) s)) (neg.f32 r))
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r))
(/.f32 #s(literal 1/8 binary32) (neg.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r)))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(neg.f32 (/.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (PI.f32) s)) r))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) s) (*.f32 r #s(literal 6 binary32))))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) s) (*.f32 #s(literal 6 binary32) r)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) #s(literal 6 binary32)) (*.f32 r s)))
(*.f32 (*.f32 r #s(literal 6 binary32)) (*.f32 (PI.f32) s))
(*.f32 (*.f32 #s(literal 6 binary32) r) (*.f32 (PI.f32) s))
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r) s)
(*.f32 (*.f32 r s) (*.f32 (PI.f32) #s(literal 6 binary32)))
(*.f32 (*.f32 (*.f32 (PI.f32) s) #s(literal 6 binary32)) r)
(*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32))
(*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 r s))
(*.f32 (PI.f32) (*.f32 #s(literal 6 binary32) (*.f32 r s)))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(*.f32 r (*.f32 (*.f32 (PI.f32) s) #s(literal 6 binary32)))
(*.f32 s (*.f32 (*.f32 (PI.f32) #s(literal 6 binary32)) r))
(/.f32 (neg.f32 (/.f32 #s(literal 3/4 binary32) (PI.f32))) (*.f32 (neg.f32 s) r))
(/.f32 (neg.f32 (/.f32 #s(literal 3/4 binary32) r)) (*.f32 (neg.f32 (PI.f32)) s))
(/.f32 (neg.f32 (neg.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)))) r)
(/.f32 (/.f32 #s(literal 3/4 binary32) (PI.f32)) (*.f32 r s))
(/.f32 (/.f32 #s(literal 3/4 binary32) r) (*.f32 (PI.f32) s))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32))) (neg.f32 r))
(/.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) r)
(/.f32 #s(literal -3/4 binary32) (neg.f32 (neg.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r))))
(/.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r))
(/.f32 #s(literal 3/4 binary32) (neg.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r)))
(/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(neg.f32 (/.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))

eval171.0ms (1.3%)

Memory
19.1MiB live, 206.4MiB allocated; 20ms collecting garbage
Compiler

Compiled 40 339 to 3 280 computations (91.9% saved)

prune201.0ms (1.6%)

Memory
-9.7MiB live, 176.6MiB allocated; 122ms collecting garbage
Pruning

57 alts after pruning (54 fresh and 3 done)

PrunedKeptTotal
New1 020411 061
Fresh141327
Picked235
Done000
Total1 036571 093
Accuracy
99.9%
Counts
1 093 → 57
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))))
52.3%
(fma.f32 (/.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s))) (/.f32 (*.f32 (*.f32 s r) (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 3/4 binary32))) r) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)))))
99.6%
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (*.f32 (PI.f32) s) #s(literal 6 binary32)) r)) #s(literal 3/4 binary32) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))))
97.3%
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (*.f32 s r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
97.6%
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
11.0%
(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/18 binary32) s) s) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
11.0%
(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
9.3%
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) (/.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) #s(literal 1 binary32)) r) (*.f32 #s(literal 6 binary32) (PI.f32))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
10.8%
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) #s(approx (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 (/.f32 r s) (PI.f32))) #s(literal -1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 1/108 binary32))) s) #s(literal -1 binary32) (/.f32 #s(literal 1/18 binary32) (PI.f32))) s) #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
9.3%
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) #s(approx (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
9.8%
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) #s(approx (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/18 binary32) (*.f32 (PI.f32) s)))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
10.9%
(fma.f32 #s(approx (/ (exp (/ (/ r -3) s)) 6) (-.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/108 binary32) (*.f32 #s(literal 1/18 binary32) r)) s))) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
9.3%
(fma.f32 #s(approx (/ (exp (/ (/ r -3) s)) 6) #s(literal 1/6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
8.9%
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
99.6%
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) #s(literal 3/4 binary32) (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) r)) (*.f32 (PI.f32) s))
99.6%
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
99.6%
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal -3/4 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) (*.f32 #s(literal -6 binary32) (PI.f32)))) (*.f32 r s))
9.8%
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
10.9%
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
9.3%
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) #s(literal 1 binary32)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
99.2%
(/.f32 (fma.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32)) r (*.f32 (*.f32 s r) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (exp.f32 (/.f32 (neg.f32 r) s))))) (*.f32 (*.f32 s r) r))
61.6%
(/.f32 (fma.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (*.f32 (*.f32 s r) (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 3/4 binary32)))) (*.f32 (*.f32 s r) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
62.0%
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 3/4 binary32)) (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) #s(literal 6 binary32)) r) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) #s(literal 6 binary32)) r) (*.f32 (*.f32 (PI.f32) s) r)))
99.5%
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 (PI.f32) s) r))
99.6%
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (PI.f32) s)) (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (PI.f32) s))) r)
99.6%
(/.f32 (/.f32 (*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) (PI.f32)) #s(literal 1/8 binary32)) s) r)
8.8%
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) r (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
10.3%
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) r (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
9.1%
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
8.8%
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 s r))
99.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
10.8%
(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 1/1296 binary32) (*.f32 #s(literal -1/144 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/24 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))))
10.2%
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal -1/24 binary32) r) s)) (*.f32 s s)) r (/.f32 #s(literal -1/4 binary32) s)) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
8.9%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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)))
8.9%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
7.7%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
8.8%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) #s(literal 3/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
7.7%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
8.9%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
99.6%
(*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) (PI.f32)) r))
99.6%
(*.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) (PI.f32)) (*.f32 r s)))
10.2%
#s(approx (/ (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (* s r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 7/324 binary32) (*.f32 r (/.f32 (/.f32 r s) (PI.f32))) (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)))) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
8.6%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32))) s))
8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) (/.f32 r (PI.f32))) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)))) s))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) r))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/6 binary32) s)) (PI.f32)) (neg.f32 s)))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
8.7%
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (fma.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
10.2%
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
9.1%
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
Compiler

Compiled 4 515 to 3 248 computations (28.1% saved)

simplify783.0ms (6.1%)

Memory
-187.8MiB live, 234.3MiB allocated; 1.1s collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (neg.f32 r) s)
cost-diff0
(exp.f32 (/.f32 (neg.f32 r) s))
cost-diff0
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 (PI.f32) s) r))
cost-diff1
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))))
cost-diff0
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
cost-diff2
(fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))
cost-diff4
(fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32)))
cost-diff0
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))
cost-diff0
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)
cost-diff0
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r))
cost-diff0
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
cost-diff0
(*.f32 (PI.f32) s)
cost-diff0
(*.f32 (*.f32 (PI.f32) s) r)
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
cost-diff0
(/.f32 #s(literal 3/4 binary32) s)
cost-diff0
(/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32))
cost-diff1
(*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
cost-diff8
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075585
0121593
1243571
2745517
33769517
08085509
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))))
(/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32))
(/.f32 #s(literal 3/4 binary32) s)
#s(literal 3/4 binary32)
s
(PI.f32)
(/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32)))
(exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(/.f32 r #s(literal -3 binary32))
r
#s(literal -3 binary32)
(*.f32 r #s(literal 6 binary32))
#s(literal 6 binary32)
(*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(/.f32 #s(literal 1/8 binary32) r)
#s(literal 1/8 binary32)
(/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
(*.f32 (PI.f32) s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
#s(literal 1/4 binary32)
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
(PI.f32)
s
r
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))
#s(literal 1/8 binary32)
(*.f32 (PI.f32) s)
(PI.f32)
s
r
(/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
#s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32)))
(fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))
#s(literal -1/4 binary32)
(/.f32 r s)
#s(literal 3/4 binary32)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32)))
#s(literal -1/6 binary32)
(/.f32 (/.f32 #s(literal 1 binary32) s) s)
(/.f32 #s(literal 1 binary32) s)
#s(literal 1 binary32)
s
(*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))
(/.f32 r (pow.f32 s #s(literal 3 binary32)))
r
(pow.f32 s #s(literal 3 binary32))
#s(literal 3 binary32)
#s(literal 5/72 binary32)
(PI.f32)
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
#s(literal 1/4 binary32)
(*.f32 (PI.f32) s)
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 (PI.f32) s) r))
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
#s(literal 1/8 binary32)
(*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))
(exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(/.f32 r #s(literal -3 binary32))
#s(literal -3 binary32)
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
(PI.f32)
Outputs
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))))
(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))))
(/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32))
(/.f32 #s(literal 3/4 binary32) s)
#s(literal 3/4 binary32)
s
(PI.f32)
(/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32)))
(/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 #s(literal 6 binary32) r))
(exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(/.f32 r #s(literal -3 binary32))
r
#s(literal -3 binary32)
(*.f32 r #s(literal 6 binary32))
(*.f32 #s(literal 6 binary32) r)
#s(literal 6 binary32)
(*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(literal 1/8 binary32) r)
#s(literal 1/8 binary32)
(/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
(*.f32 (PI.f32) s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
#s(literal 1/4 binary32)
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
(PI.f32)
s
r
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))
#s(literal 1/8 binary32)
(*.f32 (PI.f32) s)
(PI.f32)
s
r
(/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
#s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32)))
#s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 3/4 binary32)))
(fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))
(fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 3/4 binary32))
#s(literal -1/4 binary32)
(/.f32 r s)
#s(literal 3/4 binary32)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 5/72 binary32) #s(literal -1/6 binary32)) (*.f32 s s)) #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))) (PI.f32)))
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 5/72 binary32) #s(literal -1/6 binary32)) (*.f32 s s)) #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 r s))) (PI.f32))
(fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))
(/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 5/72 binary32) #s(literal -1/6 binary32)) (*.f32 s s)) r (/.f32 #s(literal 1/4 binary32) s)) (PI.f32))
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32))
(/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) s) (*.f32 (PI.f32) s))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32)))
(/.f32 (fma.f32 (/.f32 r s) #s(literal 5/72 binary32) #s(literal -1/6 binary32)) (*.f32 s s))
#s(literal -1/6 binary32)
(/.f32 (/.f32 #s(literal 1 binary32) s) s)
(/.f32 #s(literal 1 binary32) s)
#s(literal 1 binary32)
s
(*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))
(*.f32 #s(literal 5/72 binary32) (/.f32 r (pow.f32 s #s(literal 3 binary32))))
(/.f32 r (pow.f32 s #s(literal 3 binary32)))
r
(pow.f32 s #s(literal 3 binary32))
#s(literal 3 binary32)
#s(literal 5/72 binary32)
(PI.f32)
(/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))
#s(literal 1/4 binary32)
(*.f32 (PI.f32) s)
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 (PI.f32) s) r))
(*.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))))
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))))
(*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) #s(literal 1/8 binary32))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
#s(literal 1/8 binary32)
(*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))
(exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(/.f32 r #s(literal -3 binary32))
#s(literal -3 binary32)
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
(PI.f32)

localize200.0ms (1.6%)

Memory
18.1MiB live, 340.7MiB allocated; 45ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.09354367311185248
(exp.f32 (/.f32 (neg.f32 r) s))
accuracy0.1640625
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
accuracy0.25390625
(*.f32 (*.f32 (PI.f32) s) r)
accuracy0.36328125
(*.f32 (PI.f32) s)
accuracy0.36328125
(*.f32 (PI.f32) s)
accuracy0.3999258245649319
(fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))
accuracy11.32650393578193
(fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32)))
accuracy28.692113667787705
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
accuracy0.31640625
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)
accuracy0.36328125
(*.f32 (PI.f32) s)
accuracy28.690281623773792
#s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32)))
accuracy29.290507949377155
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r))
accuracy0.25390625
(*.f32 (*.f32 (PI.f32) s) r)
accuracy0.274101269536884
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
accuracy0.36328125
(*.f32 (PI.f32) s)
accuracy29.19510814029742
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
accuracy0.09354367311185248
(exp.f32 (/.f32 (neg.f32 r) s))
accuracy0.1640625
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
accuracy0.34765625
(/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32))
accuracy0.36328125
(*.f32 (PI.f32) s)
Samples
134.0ms256×0valid
Compiler

Compiled 526 to 69 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-div: 41.0ms (38.3% of total)
ival-mult: 35.0ms (32.7% of total)
ival-add: 8.0ms (7.5% of total)
const: 8.0ms (7.5% of total)
ival-exp: 7.0ms (6.5% of total)
ival-pow: 3.0ms (2.8% 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)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series64.0ms (0.5%)

Memory
16.8MiB live, 107.8MiB allocated; 33ms collecting garbage
Counts
22 → 92
Calls
Call 1
Inputs
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))))
(*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32))
(/.f32 #s(literal 3/4 binary32) s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32)))
(fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 (PI.f32) s) r))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
#s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32)))
Outputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/ 3/4 (* s (PI)))
(/ 3/4 s)
(/ 1/4 (* r (* s (PI))))
(* r (* s (PI)))
(* s (PI))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* s (PI)))
(* 5/72 (/ r (pow s 3)))
(/ (+ (* -1/6 s) (* 5/72 r)) (pow s 3))
(* 5/72 (/ (pow r 2) (* (pow s 3) (PI))))
(/ (+ (* -1/6 (/ (* r s) (PI))) (* 5/72 (/ (pow r 2) (PI)))) (pow s 3))
(/ (+ (* 5/72 (/ (pow r 2) (PI))) (* s (+ (* -1/6 (/ r (PI))) (* 1/4 (/ s (PI)))))) (pow s 3))
(* 5/72 (/ r (* (pow s 3) (PI))))
(/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 3))
(/ (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))) (pow s 3))
(+ (* 1/8 (exp (* -1 (/ r s)))) (* 1/8 (exp (* -1/3 (/ r s)))))
(/ (+ (* 1/8 (exp (* -1 (/ r s)))) (* 1/8 (exp (* -1/3 (/ r s))))) (* r (* s (PI))))
(exp (* -1 (/ r s)))
(* -1 (/ r s))
(* -1/3 (/ r s))
(* 3/4 (exp (* -1/3 (/ r s))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ (- (* 1/8 (/ 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)
(/ -1/6 (pow s 2))
(/ (- (* 5/72 (/ r s)) 1/6) (pow s 2))
(/ 1/4 (* s (PI)))
(/ (+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) s)
(/ (+ (* -1/6 (/ r (* s (PI)))) (+ (* 5/72 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/4 (/ 1 (PI))))) s)
(/ (- (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
1/4
(+ 1/4 (+ (* -1/8 (/ r s)) (* -1/24 (/ r s))))
(+ 1/4 (+ (* -1/8 (/ r s)) (+ (* -1/24 (/ r s)) (+ (* 1/144 (/ (pow r 2) (pow s 2))) (* 1/16 (/ (pow r 2) (pow s 2)))))))
(+ 1/4 (+ (* -1/8 (/ r s)) (+ (* -1/24 (/ r s)) (+ (* -1/48 (/ (pow r 3) (pow s 3))) (+ (* -1/1296 (/ (pow r 3) (pow s 3))) (+ (* 1/144 (/ (pow r 2) (pow s 2))) (* 1/16 (/ (pow r 2) (pow s 2)))))))))
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))))))
3/4
(+ 3/4 (* -1/4 (/ r s)))
(+ 3/4 (+ (* -1/4 (/ r s)) (* 1/24 (/ (pow r 2) (pow s 2)))))
(+ 3/4 (+ (* -1/4 (/ r s)) (+ (* -1/216 (/ (pow r 3) (pow s 3))) (* 1/24 (/ (pow r 2) (pow s 2))))))
(* -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 (/ (- (* 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 (/ (- (* 1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ r (PI))) (* 5/72 (/ (pow r 2) (* s (PI))))) s)) (* 1/4 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(+ 1/4 (* -1 (/ (+ (* 1/24 r) (* 1/8 r)) s)))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* 1/144 (pow r 2)) (* 1/16 (pow r 2))) s)) (+ (* 1/24 r) (* 1/8 r))) s)))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/1296 (pow r 3)) (* 1/48 (pow r 3))) s)) (+ (* 1/144 (pow r 2)) (* 1/16 (pow r 2)))) s)) (+ (* 1/24 r) (* 1/8 r))) s)))
(* -1 (/ (- (* -1 (/ (- (+ (* 1/144 (/ r (* s (PI)))) (* 1/16 (/ r (* s (PI))))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (+ (* 1/144 (/ r (PI))) (* 1/16 (/ r (PI))))) (+ (* 1/1296 (/ (pow r 2) (* s (PI)))) (* 1/48 (/ (pow r 2) (* s (PI)))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) 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)))
(+ 3/4 (* -1 (/ (+ (* -1/24 (/ (pow r 2) s)) (* 1/4 r)) s)))
(+ 3/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/216 (/ (pow r 3) s)) (* 1/24 (pow r 2))) s)) (* 1/4 r)) s)))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* -1/8 (/ r (* (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)
(- (* 5/72 (/ r (pow s 3))) (* 1/6 (/ 1 (pow s 2))))
(+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI)))))
(+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI)))))
(+ 1/4 (* -1/6 (/ r s)))
(+ 1/4 (* r (- (* 5/72 (/ r (pow s 2))) (* 1/6 (/ 1 s)))))
(+ 1/4 (* r (- (* r (+ (* -7/324 (/ r (pow s 3))) (* 5/72 (/ 1 (pow s 2))))) (* 1/6 (/ 1 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))))
(+ 3/4 (* r (- (* 1/24 (/ r (pow s 2))) (* 1/4 (/ 1 s)))))
(+ 3/4 (* r (- (* r (+ (* -1/216 (/ r (pow s 3))) (* 1/24 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* r (- (* 5/72 (/ 1 (pow s 3))) (* 1/6 (/ 1 (* r (pow s 2))))))
(* (pow r 2) (- (* 5/72 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* r (* (pow s 2) (PI)))))))
(* (pow r 2) (- (+ (/ 1/4 (* (pow r 2) (* s (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) (/ 1/6 (* r (* (pow s 2) (PI))))))
(* r (- (* 5/72 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* r (* (pow s 2) (PI)))))))
(* r (- (+ (/ 1/4 (* (pow r 2) (* s (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) (/ 1/6 (* r (* (pow s 2) (PI))))))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (* r (- (* 1/6 (/ 1 (* r (pow s 2)))) (* 5/72 (/ 1 (pow s 3))))))
(* (pow r 2) (+ (* -1 (/ (- (* 1/6 (/ 1 (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (* s (PI)))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI))))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* (pow s 2) (PI))))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
Calls

6 calls:

TimeVariablePointExpression
25.0ms
s
@-inf
((+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s))) (/ (/ 3/4 s) (PI)) (/ 3/4 s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* (PI) s) r)) (* (* (PI) s) r) (* (PI) s) (+ (/ (* 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)) (/ (/ 1/8 (* (PI) s)) r) (/ 1/8 (* (PI) s)) (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) r) (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (/ (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (* (* (PI) s) r)) (exp (/ (neg r) s)) (/ (neg r) s) (/ (/ r -3) s) (* 3/4 (exp (/ (neg r) (* 3 s)))))
7.0ms
r
@-inf
((+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s))) (/ (/ 3/4 s) (PI)) (/ 3/4 s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* (PI) s) r)) (* (* (PI) s) r) (* (PI) s) (+ (/ (* 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)) (/ (/ 1/8 (* (PI) s)) r) (/ 1/8 (* (PI) s)) (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) r) (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (/ (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (* (* (PI) s) r)) (exp (/ (neg r) s)) (/ (neg r) s) (/ (/ r -3) s) (* 3/4 (exp (/ (neg r) (* 3 s)))))
7.0ms
r
@inf
((+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s))) (/ (/ 3/4 s) (PI)) (/ 3/4 s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* (PI) s) r)) (* (* (PI) s) r) (* (PI) s) (+ (/ (* 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)) (/ (/ 1/8 (* (PI) s)) r) (/ 1/8 (* (PI) s)) (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) r) (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (/ (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (* (* (PI) s) r)) (exp (/ (neg r) s)) (/ (neg r) s) (/ (/ r -3) s) (* 3/4 (exp (/ (neg r) (* 3 s)))))
6.0ms
s
@0
((+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s))) (/ (/ 3/4 s) (PI)) (/ 3/4 s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* (PI) s) r)) (* (* (PI) s) r) (* (PI) s) (+ (/ (* 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)) (/ (/ 1/8 (* (PI) s)) r) (/ 1/8 (* (PI) s)) (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) r) (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (/ (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (* (* (PI) s) r)) (exp (/ (neg r) s)) (/ (neg r) s) (/ (/ r -3) s) (* 3/4 (exp (/ (neg r) (* 3 s)))))
5.0ms
r
@0
((+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s))) (/ (/ 3/4 s) (PI)) (/ 3/4 s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* (PI) s) r)) (* (* (PI) s) r) (* (PI) s) (+ (/ (* 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)) (/ (/ 1/8 (* (PI) s)) r) (/ 1/8 (* (PI) s)) (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) r) (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (/ (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (* (* (PI) s) r)) (exp (/ (neg r) s)) (/ (neg r) s) (/ (/ r -3) s) (* 3/4 (exp (/ (neg r) (* 3 s)))))

simplify220.0ms (1.7%)

Memory
-8.3MiB live, 215.8MiB allocated; 93ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04651659
115221542
253821470
089351392
Stop Event
iter limit
node limit
Counts
92 → 92
Calls
Call 1
Inputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/ 3/4 (* s (PI)))
(/ 3/4 s)
(/ 1/4 (* r (* s (PI))))
(* r (* s (PI)))
(* s (PI))
(/ 1/8 (* r (* s (PI))))
(/ 1/8 (* s (PI)))
(* 5/72 (/ r (pow s 3)))
(/ (+ (* -1/6 s) (* 5/72 r)) (pow s 3))
(* 5/72 (/ (pow r 2) (* (pow s 3) (PI))))
(/ (+ (* -1/6 (/ (* r s) (PI))) (* 5/72 (/ (pow r 2) (PI)))) (pow s 3))
(/ (+ (* 5/72 (/ (pow r 2) (PI))) (* s (+ (* -1/6 (/ r (PI))) (* 1/4 (/ s (PI)))))) (pow s 3))
(* 5/72 (/ r (* (pow s 3) (PI))))
(/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 3))
(/ (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))) (pow s 3))
(+ (* 1/8 (exp (* -1 (/ r s)))) (* 1/8 (exp (* -1/3 (/ r s)))))
(/ (+ (* 1/8 (exp (* -1 (/ r s)))) (* 1/8 (exp (* -1/3 (/ r s))))) (* r (* s (PI))))
(exp (* -1 (/ r s)))
(* -1 (/ r s))
(* -1/3 (/ r s))
(* 3/4 (exp (* -1/3 (/ r s))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/ (- (* 1/8 (/ 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)
(/ -1/6 (pow s 2))
(/ (- (* 5/72 (/ r s)) 1/6) (pow s 2))
(/ 1/4 (* s (PI)))
(/ (+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) s)
(/ (+ (* -1/6 (/ r (* s (PI)))) (+ (* 5/72 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/4 (/ 1 (PI))))) s)
(/ (- (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
1/4
(+ 1/4 (+ (* -1/8 (/ r s)) (* -1/24 (/ r s))))
(+ 1/4 (+ (* -1/8 (/ r s)) (+ (* -1/24 (/ r s)) (+ (* 1/144 (/ (pow r 2) (pow s 2))) (* 1/16 (/ (pow r 2) (pow s 2)))))))
(+ 1/4 (+ (* -1/8 (/ r s)) (+ (* -1/24 (/ r s)) (+ (* -1/48 (/ (pow r 3) (pow s 3))) (+ (* -1/1296 (/ (pow r 3) (pow s 3))) (+ (* 1/144 (/ (pow r 2) (pow s 2))) (* 1/16 (/ (pow r 2) (pow s 2)))))))))
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))))))
3/4
(+ 3/4 (* -1/4 (/ r s)))
(+ 3/4 (+ (* -1/4 (/ r s)) (* 1/24 (/ (pow r 2) (pow s 2)))))
(+ 3/4 (+ (* -1/4 (/ r s)) (+ (* -1/216 (/ (pow r 3) (pow s 3))) (* 1/24 (/ (pow r 2) (pow s 2))))))
(* -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 (/ (- (* 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 (/ (- (* 1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ r (PI))) (* 5/72 (/ (pow r 2) (* s (PI))))) s)) (* 1/4 (/ 1 (PI)))) s))
(* -1 (/ (- (* -1 (/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(+ 1/4 (* -1 (/ (+ (* 1/24 r) (* 1/8 r)) s)))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* 1/144 (pow r 2)) (* 1/16 (pow r 2))) s)) (+ (* 1/24 r) (* 1/8 r))) s)))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/1296 (pow r 3)) (* 1/48 (pow r 3))) s)) (+ (* 1/144 (pow r 2)) (* 1/16 (pow r 2)))) s)) (+ (* 1/24 r) (* 1/8 r))) s)))
(* -1 (/ (- (* -1 (/ (- (+ (* 1/144 (/ r (* s (PI)))) (* 1/16 (/ r (* s (PI))))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (+ (* 1/144 (/ r (PI))) (* 1/16 (/ r (PI))))) (+ (* 1/1296 (/ (pow r 2) (* s (PI)))) (* 1/48 (/ (pow r 2) (* s (PI)))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) 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)))
(+ 3/4 (* -1 (/ (+ (* -1/24 (/ (pow r 2) s)) (* 1/4 r)) s)))
(+ 3/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/216 (/ (pow r 3) s)) (* 1/24 (pow r 2))) s)) (* 1/4 r)) s)))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* -1/8 (/ r (* (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)
(- (* 5/72 (/ r (pow s 3))) (* 1/6 (/ 1 (pow s 2))))
(+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI)))))
(+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI)))))
(+ 1/4 (* -1/6 (/ r s)))
(+ 1/4 (* r (- (* 5/72 (/ r (pow s 2))) (* 1/6 (/ 1 s)))))
(+ 1/4 (* r (- (* r (+ (* -7/324 (/ r (pow s 3))) (* 5/72 (/ 1 (pow s 2))))) (* 1/6 (/ 1 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))))
(+ 3/4 (* r (- (* 1/24 (/ r (pow s 2))) (* 1/4 (/ 1 s)))))
(+ 3/4 (* r (- (* r (+ (* -1/216 (/ r (pow s 3))) (* 1/24 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* r (- (* 5/72 (/ 1 (pow s 3))) (* 1/6 (/ 1 (* r (pow s 2))))))
(* (pow r 2) (- (* 5/72 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* r (* (pow s 2) (PI)))))))
(* (pow r 2) (- (+ (/ 1/4 (* (pow r 2) (* s (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) (/ 1/6 (* r (* (pow s 2) (PI))))))
(* r (- (* 5/72 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* r (* (pow s 2) (PI)))))))
(* r (- (+ (/ 1/4 (* (pow r 2) (* s (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) (/ 1/6 (* r (* (pow s 2) (PI))))))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (* r (- (* 1/6 (/ 1 (* r (pow s 2)))) (* 5/72 (/ 1 (pow s 3))))))
(* (pow r 2) (+ (* -1 (/ (- (* 1/6 (/ 1 (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (* s (PI)))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI))))))
(* -1 (* r (- (* 1/6 (/ 1 (* r (* (pow s 2) (PI))))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
(* -1 (* r (- (* -1 (/ (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
Outputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(/.f32 (*.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(/ 3/4 (* s (PI)))
(/.f32 #s(literal 3/4 binary32) (*.f32 (PI.f32) s))
(/ 3/4 s)
(/.f32 #s(literal 3/4 binary32) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r)
(* r (* s (PI)))
(*.f32 (*.f32 (PI.f32) s) r)
(* s (PI))
(*.f32 (PI.f32) s)
(/ 1/8 (* r (* s (PI))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)
(/ 1/8 (* s (PI)))
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))
(* 5/72 (/ r (pow s 3)))
(*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))
(/ (+ (* -1/6 s) (* 5/72 r)) (pow s 3))
(/.f32 (fma.f32 #s(literal -1/6 binary32) s (*.f32 #s(literal 5/72 binary32) r)) (pow.f32 s #s(literal 3 binary32)))
(* 5/72 (/ (pow r 2) (* (pow s 3) (PI))))
(*.f32 (*.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r) r)
(/ (+ (* -1/6 (/ (* r s) (PI))) (* 5/72 (/ (pow r 2) (PI)))) (pow s 3))
(/.f32 (fma.f32 (*.f32 r r) #s(literal 5/72 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) r) s)) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))
(/ (+ (* 5/72 (/ (pow r 2) (PI))) (* s (+ (* -1/6 (/ r (PI))) (* 1/4 (/ s (PI)))))) (pow s 3))
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) s (*.f32 #s(literal -1/6 binary32) r)) (PI.f32)) s (*.f32 (/.f32 (*.f32 r r) (PI.f32)) #s(literal 5/72 binary32))) (pow.f32 s #s(literal 3 binary32)))
(* 5/72 (/ r (* (pow s 3) (PI))))
(*.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) r)
(/ (+ (* -1/6 (/ s (PI))) (* 5/72 (/ r (PI)))) (pow s 3))
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) s (*.f32 #s(literal 5/72 binary32) r)) (PI.f32)) (pow.f32 s #s(literal 3 binary32)))
(/ (+ (* 5/72 (/ r (PI))) (* s (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))))) (pow s 3))
(/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 s r) #s(literal 1/4 binary32) #s(literal -1/6 binary32)) (PI.f32)) s (*.f32 (/.f32 r (PI.f32)) #s(literal 5/72 binary32))) (pow.f32 s #s(literal 3 binary32)))
(+ (* 1/8 (exp (* -1 (/ r s)))) (* 1/8 (exp (* -1/3 (/ r s)))))
(*.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/8 binary32))
(/ (+ (* 1/8 (exp (* -1 (/ r s)))) (* 1/8 (exp (* -1/3 (/ r s))))) (* r (* s (PI))))
(/.f32 (*.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(* 3/4 (exp (* -1/3 (/ r s))))
(*.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) #s(literal 3/4 binary32))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s)) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) (/.f32 r (pow.f32 s #s(literal 3 binary32)))) #s(literal -7/324 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s))) s)
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) s)
(/.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/8 binary32) r)) (PI.f32)) s)
(/ (- (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/8 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) (PI.f32)) s)) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/8 (* s (PI)))) s)
(/.f32 (fma.f32 (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (*.f32 r r) (PI.f32)) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) (PI.f32)) s))) s)
(/ -1/6 (pow s 2))
(/.f32 #s(literal -1/6 binary32) (*.f32 s s))
(/ (- (* 5/72 (/ r s)) 1/6) (pow s 2))
(/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (*.f32 s s))
(/ 1/4 (* s (PI)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s)
(/ (+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) s)
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (PI.f32)) s)
(/ (+ (* -1/6 (/ r (* s (PI)))) (+ (* 5/72 (/ (pow r 2) (* (pow s 2) (PI)))) (* 1/4 (/ 1 (PI))))) s)
(/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 5/72 binary32) (*.f32 #s(literal -1/6 binary32) r)) (PI.f32)) s) (/.f32 #s(literal -1/4 binary32) (PI.f32))) s)
(/ (- (+ (* 5/72 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s)) s)
1/4
#s(literal 1/4 binary32)
(+ 1/4 (+ (* -1/8 (/ r s)) (* -1/24 (/ r s))))
(fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))
(+ 1/4 (+ (* -1/8 (/ r s)) (+ (* -1/24 (/ r s)) (+ (* 1/144 (/ (pow r 2) (pow s 2))) (* 1/16 (/ (pow r 2) (pow s 2)))))))
(fma.f32 #s(literal -1/6 binary32) (/.f32 r s) (fma.f32 (*.f32 (/.f32 r s) (/.f32 r s)) #s(literal 5/72 binary32) #s(literal 1/4 binary32)))
(+ 1/4 (+ (* -1/8 (/ r s)) (+ (* -1/24 (/ r s)) (+ (* -1/48 (/ (pow r 3) (pow s 3))) (+ (* -1/1296 (/ (pow r 3) (pow s 3))) (+ (* 1/144 (/ (pow r 2) (pow s 2))) (* 1/16 (/ (pow r 2) (pow s 2)))))))))
(+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (fma.f32 (pow.f32 (/.f32 r s) #s(literal 3 binary32)) #s(literal -7/324 binary32) (/.f32 (/.f32 (*.f32 (*.f32 r r) #s(literal 5/72 binary32)) s) 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)))))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/2 binary32) r) s))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 (/.f32 (pow.f32 r #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 r r))) s)) s))
3/4
#s(literal 3/4 binary32)
(+ 3/4 (* -1/4 (/ r s)))
(fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))
(+ 3/4 (+ (* -1/4 (/ r s)) (* 1/24 (/ (pow r 2) (pow s 2)))))
(-.f32 #s(literal 3/4 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/24 binary32) (*.f32 #s(literal 1/4 binary32) r)) s))
(+ 3/4 (+ (* -1/4 (/ r s)) (+ (* -1/216 (/ (pow r 3) (pow s 3))) (* 1/24 (/ (pow r 2) (pow s 2))))))
(+.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 r s) #s(literal 3 binary32)) (/.f32 (fma.f32 #s(literal 1/24 binary32) (*.f32 r (/.f32 r s)) (*.f32 #s(literal -1/4 binary32) r)) s)) #s(literal 3/4 binary32))
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/6 binary32) s)) (PI.f32)) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (/.f32 (*.f32 r r) (PI.f32))) (neg.f32 s))) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))
(* -1 (/ (- (* 1/8 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/8 binary32) s)) (PI.f32)) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* 1/48 (/ (pow r 2) (* s (PI))))) s)) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 1/48 binary32) (*.f32 #s(literal -1/16 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))
(* -1 (/ (- (* 1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) s))
(/.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 r s) #s(literal -1/4 binary32)) (PI.f32)) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ r (PI))) (* 5/72 (/ (pow r 2) (* s (PI))))) s)) (* 1/4 (/ 1 (PI)))) s))
(/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 5/72 binary32) (*.f32 #s(literal -1/6 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* 5/72 (/ r (* s (PI)))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))
(+ 1/4 (* -1 (/ (+ (* 1/24 r) (* 1/8 r)) s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* 1/144 (pow r 2)) (* 1/16 (pow r 2))) s)) (+ (* 1/24 r) (* 1/8 r))) s)))
(-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) r (/.f32 (*.f32 (*.f32 r r) #s(literal 5/72 binary32)) (neg.f32 s))) s))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/1296 (pow r 3)) (* 1/48 (pow r 3))) s)) (+ (* 1/144 (pow r 2)) (* 1/16 (pow r 2)))) s)) (+ (* 1/24 r) (* 1/8 r))) s)))
(-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) r (/.f32 (fma.f32 (*.f32 r r) #s(literal 5/72 binary32) (/.f32 (*.f32 #s(literal 7/324 binary32) (pow.f32 r #s(literal 3 binary32))) (neg.f32 s))) (neg.f32 s))) s))
(* -1 (/ (- (* -1 (/ (- (+ (* 1/144 (/ r (* s (PI)))) (* 1/16 (/ r (* s (PI))))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (+ (* 1/144 (/ r (PI))) (* 1/16 (/ r (PI))))) (+ (* 1/1296 (/ (pow r 2) (* s (PI)))) (* 1/48 (/ (pow r 2) (* s (PI)))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 7/324 binary32) (*.f32 #s(literal -5/72 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/2 binary32) r) s))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 (/.f32 (pow.f32 r #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 r r))) s)) s))
(+ 3/4 (* -1 (/ (+ (* -1/24 (/ (pow r 2) s)) (* 1/4 r)) s)))
(-.f32 #s(literal 3/4 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/24 binary32) (*.f32 #s(literal 1/4 binary32) r)) s))
(+ 3/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/216 (/ (pow r 3) s)) (* 1/24 (pow r 2))) s)) (* 1/4 r)) s)))
(-.f32 #s(literal 3/4 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) r (/.f32 (fma.f32 (/.f32 (pow.f32 r #s(literal 3 binary32)) s) #s(literal -1/216 binary32) (*.f32 (*.f32 #s(literal 1/24 binary32) r) r)) (neg.f32 s))) s))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (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 (/.f32 (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s) s) r (/.f32 (/.f32 #s(literal 1/4 binary32) (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 (fma.f32 (*.f32 r (/.f32 r (*.f32 (pow.f32 s #s(literal 4 binary32)) (PI.f32)))) #s(literal -7/324 binary32) (/.f32 (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s) s)) r (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s)) r)
(/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/8 binary32) (/.f32 #s(literal 1/8 binary32) s)) (PI.f32)) r)
(/ (+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (*.f32 s s)) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 1/16 binary32))) (PI.f32)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(/ (+ (* r (- (* r (+ (* -1/48 (/ r (* (pow s 4) (PI)))) (* 1/16 (/ 1 (* (pow s 3) (PI)))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (pow.f32 s #s(literal 4 binary32))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (PI.f32)) r (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(- (* 5/72 (/ r (pow s 3))) (* 1/6 (/ 1 (pow s 2))))
(/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (*.f32 s s))
(+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI)))))
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (PI.f32)) s)
(+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI)))))
(fma.f32 (/.f32 (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s) s) r (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s))
(+ 1/4 (* -1/6 (/ r s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))
(+ 1/4 (* r (- (* 5/72 (/ r (pow s 2))) (* 1/6 (/ 1 s)))))
(fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) s) r #s(literal 1/4 binary32))
(+ 1/4 (* r (- (* r (+ (* -7/324 (/ r (pow s 3))) (* 5/72 (/ 1 (pow s 2))))) (* 1/6 (/ 1 s)))))
(fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 5/72 binary32) (/.f32 (*.f32 #s(literal -7/324 binary32) r) s)) (*.f32 s s)) r (/.f32 #s(literal -1/6 binary32) s)) r #s(literal 1/4 binary32))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) r) (/.f32 #s(literal 1 binary32) s)) r #s(literal 1 binary32))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (*.f32 s s)) r) (/.f32 #s(literal 1 binary32) s)) r #s(literal 1 binary32))
(+ 3/4 (* r (- (* 1/24 (/ r (pow s 2))) (* 1/4 (/ 1 s)))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 r s) #s(literal -1/4 binary32)) s) r #s(literal 3/4 binary32))
(+ 3/4 (* r (- (* r (+ (* -1/216 (/ r (pow s 3))) (* 1/24 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1/24 binary32) (/.f32 (*.f32 #s(literal -1/216 binary32) r) s)) (*.f32 s s)) r (/.f32 #s(literal -1/4 binary32) s)) r #s(literal 3/4 binary32))
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(/.f32 (*.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r))
(* r (- (* 5/72 (/ 1 (pow s 3))) (* 1/6 (/ 1 (* r (pow s 2))))))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 5/72 binary32) s)) (*.f32 s s)) r)
(* (pow r 2) (- (* 5/72 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* r (* (pow s 2) (PI)))))))
(*.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) r) (PI.f32))) (*.f32 r r))
(* (pow r 2) (- (+ (/ 1/4 (* (pow r 2) (* s (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) (/ 1/6 (* r (* (pow s 2) (PI))))))
(*.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s) r)) (*.f32 r r))
(* r (- (* 5/72 (/ 1 (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* r (* (pow s 2) (PI)))))))
(*.f32 (-.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) r) (PI.f32))) r)
(* r (- (+ (/ 1/4 (* (pow r 2) (* s (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI))))) (/ 1/6 (* r (* (pow s 2) (PI))))))
(*.f32 (+.f32 (/.f32 #s(literal 5/72 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s) r)) r)
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(/.f32 (*.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r))
(* -1 (* r (- (* 1/6 (/ 1 (* r (pow s 2)))) (* 5/72 (/ 1 (pow s 3))))))
(*.f32 (neg.f32 r) (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) r) (/.f32 #s(literal 5/72 binary32) (pow.f32 s #s(literal 3 binary32)))))
(* (pow r 2) (+ (* -1 (/ (- (* 1/6 (/ 1 (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (* s (PI)))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI))))))
(*.f32 (*.f32 (-.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/6 binary32) s)) (*.f32 (PI.f32) s)) (neg.f32 r)) (/.f32 #s(literal -5/72 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))) r) r)
(* -1 (* r (- (* 1/6 (/ 1 (* r (* (pow s 2) (PI))))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
(*.f32 (neg.f32 r) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 s s)) r) (/.f32 #s(literal 5/72 binary32) (pow.f32 s #s(literal 3 binary32)))) (PI.f32)))
(* -1 (* r (- (* -1 (/ (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))) r)) (* 5/72 (/ 1 (* (pow s 3) (PI)))))))
(*.f32 (neg.f32 r) (-.f32 (/.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s) (neg.f32 r)) (/.f32 #s(literal 5/72 binary32) (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32)))))

rewrite189.0ms (1.5%)

Memory
4.2MiB live, 337.0MiB allocated; 46ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
075376
0121380
1415329
23425325
08088325
Stop Event
iter limit
node limit
iter limit
Counts
22 → 472
Calls
Call 1
Inputs
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))))
(*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32))
(/.f32 #s(literal 3/4 binary32) s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)
(/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32)))
(fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r)
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 (PI.f32) s) r))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
#s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32)))
Outputs
(/.f32 (/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #s(literal 3/4 binary32)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) r) (*.f32 (PI.f32) s))
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (PI.f32)) (*.f32 r s))
(/.f32 (-.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal -1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))) #s(literal 3 binary32))) (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 2 binary32)) (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 2 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (*.f32 (/.f32 #s(literal -1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (PI.f32) s)) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))) r)
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(fma.f32 (/.f32 #s(literal 3/4 binary32) s) (/.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 #s(literal 6 binary32) r)) (PI.f32)) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r)) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (/.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32)) (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 2 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (-.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))) r)))) (/.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32)) (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(literal 2 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (-.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))) r)))))
(+.f32 (/.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32)) (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) r) #s(literal 2 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (*.f32 (/.f32 #s(literal -1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))))))) (/.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 3 binary32)) (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) r) #s(literal 2 binary32)) (*.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (*.f32 (/.f32 #s(literal -1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))))))))
(+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) r) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s))) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) #s(literal 3/4 binary32)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r) r) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s))))
(+.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))) (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(neg.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))))) (*.f32 (*.f32 (PI.f32) s) r)))
(neg.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 (neg.f32 (PI.f32)) s) r)))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 r s)) #s(literal 3 binary32)) (pow.f32 (neg.f32 (sinh.f32 (/.f32 r s))) #s(literal 3 binary32))) (+.f32 (pow.f32 (cosh.f32 (/.f32 r s)) #s(literal 2 binary32)) (-.f32 (pow.f32 (neg.f32 (sinh.f32 (/.f32 r s))) #s(literal 2 binary32)) (*.f32 (cosh.f32 (/.f32 r s)) (neg.f32 (sinh.f32 (/.f32 r s)))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 r s)))
(-.f32 (cosh.f32 (/.f32 r s)) (sinh.f32 (/.f32 r s)))
(pow.f32 (exp.f32 (/.f32 r s)) #s(literal -1 binary32))
(+.f32 (neg.f32 (sinh.f32 (/.f32 r s))) (cosh.f32 (/.f32 r s)))
(+.f32 (cosh.f32 (/.f32 r s)) (neg.f32 (sinh.f32 (/.f32 r s))))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 r) s)
(/.f32 r (neg.f32 s))
(neg.f32 (/.f32 r s))
(/.f32 (/.f32 r #s(literal 3 binary32)) (neg.f32 s))
(/.f32 (neg.f32 r) (neg.f32 (*.f32 #s(literal -3 binary32) s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(/.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))
(/.f32 (/.f32 r #s(literal -3 binary32)) (neg.f32 (neg.f32 s)))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(/.f32 r (*.f32 #s(literal -3 binary32) s))
(neg.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) (neg.f32 s)))
(neg.f32 (/.f32 (/.f32 r #s(literal 3 binary32)) s))
#s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 3/4 binary32)))

eval109.0ms (0.8%)

Memory
36.2MiB live, 222.7MiB allocated; 71ms collecting garbage
Compiler

Compiled 23 486 to 2 022 computations (91.4% saved)

prune100.0ms (0.8%)

Memory
9.5MiB live, 282.8MiB allocated; 53ms collecting garbage
Pruning

69 alts after pruning (66 fresh and 3 done)

PrunedKeptTotal
New47632508
Fresh153449
Picked415
Done123
Total49669565
Accuracy
99.9%
Counts
565 → 69
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)))
8.9%
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (*.f32 (PI.f32) s))))
52.3%
(fma.f32 (/.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s))) (/.f32 (*.f32 (*.f32 s r) (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 3/4 binary32))) r) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)))))
97.3%
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (*.f32 s r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
11.0%
(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/18 binary32) s) s) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
11.0%
(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
9.3%
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) (/.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) #s(literal 1 binary32)) r) (*.f32 #s(literal 6 binary32) (PI.f32))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
9.3%
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) #s(approx (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
9.8%
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) #s(approx (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/18 binary32) (*.f32 (PI.f32) s)))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
98.4%
(fma.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
10.9%
(fma.f32 #s(approx (/ (exp (/ (/ r -3) s)) 6) (-.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/108 binary32) (*.f32 #s(literal 1/18 binary32) r)) s))) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
9.3%
(fma.f32 #s(approx (/ (exp (/ (/ r -3) s)) 6) #s(literal 1/6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
99.6%
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
9.8%
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
10.9%
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
9.3%
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) #s(literal 1 binary32)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
99.2%
(/.f32 (fma.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32)) r (*.f32 (*.f32 s r) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (exp.f32 (/.f32 (neg.f32 r) s))))) (*.f32 (*.f32 s r) r))
61.6%
(/.f32 (fma.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (*.f32 (*.f32 s r) (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 3/4 binary32)))) (*.f32 (*.f32 s r) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
62.0%
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 3/4 binary32)) (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) #s(literal 6 binary32)) r) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) #s(literal 6 binary32)) r) (*.f32 (*.f32 (PI.f32) s) r)))
99.2%
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (*.f32 (*.f32 (PI.f32) s) r) (*.f32 r (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))))) (*.f32 r (*.f32 (*.f32 (PI.f32) s) r)))
99.6%
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 r s) (PI.f32)))
99.5%
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s))))
99.5%
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) (*.f32 (*.f32 (PI.f32) s) r))
99.5%
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 #s(approx (/ (/ r -3) s) (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))))) (*.f32 (*.f32 (PI.f32) s) r))
8.9%
(/.f32 (fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 (PI.f32) s) r))
99.6%
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (PI.f32) s)) (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (PI.f32) s))) r)
99.6%
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (PI.f32) s)) r)
99.6%
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) r) (*.f32 (PI.f32) s))
10.2%
(/.f32 (-.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 2 binary32)) #s(literal 1/64 binary32)) (*.f32 (exp.f32 (*.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s) #s(literal 2 binary32))) #s(literal 1/64 binary32))) (*.f32 (*.f32 #s(literal 1/8 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 (PI.f32) s) r)))
99.5%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) (*.f32 (*.f32 (PI.f32) s) r))
8.8%
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 s r))
10.3%
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 5/72 binary32) (/.f32 (*.f32 #s(literal -7/324 binary32) r) s)) (*.f32 s s)) r (/.f32 #s(literal -1/6 binary32) s)) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
10.3%
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
10.2%
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) (fma.f32 (*.f32 (/.f32 r s) (/.f32 r s)) #s(literal 5/72 binary32) #s(literal 1/4 binary32)))) (*.f32 (*.f32 (PI.f32) s) r))
9.1%
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
10.3%
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) r (/.f32 (*.f32 (*.f32 r r) #s(literal 5/72 binary32)) (neg.f32 s))) s))) (*.f32 (*.f32 (PI.f32) s) r))
8.8%
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (fma.f32 (pow.f32 (/.f32 r s) #s(literal 3 binary32)) #s(literal -7/324 binary32) (/.f32 (/.f32 (*.f32 (*.f32 r r) #s(literal 5/72 binary32)) s) s)))) (*.f32 (*.f32 (PI.f32) s) r))
99.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
10.8%
(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 1/1296 binary32) (*.f32 #s(literal -1/144 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/24 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))))
7.7%
(+.f32 (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
7.7%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
8.9%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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)))
8.9%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
8.8%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) #s(literal 3/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
7.7%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 r s))) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
8.9%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
99.6%
(*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) (PI.f32)) r))
10.2%
#s(approx (/ (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (* (* (PI) s) r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 7/324 binary32) (*.f32 #s(literal -5/72 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (*.f32 s s))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32))) s))
8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) (/.f32 r (PI.f32))) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)))) s))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) r))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (PI.f32)) s)) r))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s)))))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) r) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s)) s)))
8.8%
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) (/.f32 r (pow.f32 s #s(literal 3 binary32)))) #s(literal -7/324 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s))) s))
9.1%
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
8.7%
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (fma.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
9.1%
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
Compiler

Compiled 5 429 to 3 889 computations (28.4% saved)

simplify178.0ms (1.4%)

Memory
-1.7MiB live, 248.0MiB allocated; 99ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (neg.f32 r) s)
cost-diff0
(exp.f32 (/.f32 (neg.f32 r) s))
cost-diff0
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) (*.f32 (*.f32 (PI.f32) s) r))
cost-diff1
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))))
cost-diff1
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
cost-diff1
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
cost-diff1
(/.f32 (*.f32 #s(literal 3/4 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-diff1
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
cost-diff0
(/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32))
cost-diff0
(/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) r)
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) r))
cost-diff2
(fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s))
cost-diff0
(*.f32 r s)
cost-diff0
(*.f32 (*.f32 r s) (PI.f32))
cost-diff0
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
cost-diff0
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
cost-diff0
(/.f32 #s(literal 3/4 binary32) s)
cost-diff0
(/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32))
cost-diff1
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32))
cost-diff8
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073495
0118501
1228476
2671436
33314436
08611431
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32))
(/.f32 #s(literal 3/4 binary32) s)
#s(literal 3/4 binary32)
s
(PI.f32)
(/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32)))
(exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(/.f32 r #s(literal -3 binary32))
r
#s(literal -3 binary32)
(*.f32 r #s(literal 6 binary32))
#s(literal 6 binary32)
(/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
#s(literal 1/8 binary32)
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 (*.f32 r s) (PI.f32))
(*.f32 r s)
r
s
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) r))
(/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) r)
(/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32))
(fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 (/.f32 r s) s)
(/.f32 r s)
r
s
#s(literal -1/6 binary32)
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
(PI.f32)
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s)))
(/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))
(/.f32 #s(literal 1/8 binary32) r)
#s(literal 1/8 binary32)
r
(*.f32 (PI.f32) s)
(PI.f32)
s
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(neg.f32 r)
(*.f32 #s(literal 3 binary32) s)
#s(literal 3 binary32)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) (*.f32 (*.f32 (PI.f32) s) r))
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
#s(literal 1/8 binary32)
(*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))
(exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))
(/.f32 r (*.f32 #s(literal -3 binary32) s))
(*.f32 #s(literal -3 binary32) s)
#s(literal -3 binary32)
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
(PI.f32)
Outputs
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (PI.f32)) s) (+.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s))))
(/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32))
(/.f32 #s(literal 3/4 binary32) s)
#s(literal 3/4 binary32)
s
(PI.f32)
(/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32)))
(/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 #s(literal 6 binary32) r))
(exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))
(exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(/.f32 (/.f32 r s) #s(literal -3 binary32))
(/.f32 r #s(literal -3 binary32))
r
#s(literal -3 binary32)
(*.f32 r #s(literal 6 binary32))
(*.f32 #s(literal 6 binary32) r)
#s(literal 6 binary32)
(/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))) (*.f32 (*.f32 (PI.f32) s) r))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32))
(/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
#s(literal 1/8 binary32)
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32)))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32))
#s(literal 1/4 binary32)
(*.f32 (*.f32 r s) (PI.f32))
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 r s)
r
s
(PI.f32)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) r)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32))
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (*.f32 (PI.f32) s))
(fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s))
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s)
(/.f32 (/.f32 r s) s)
(/.f32 r s)
r
s
#s(literal -1/6 binary32)
(/.f32 #s(literal 1/4 binary32) s)
#s(literal 1/4 binary32)
(PI.f32)
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 r (PI.f32))) (/.f32 #s(literal 1/8 binary32) s) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (PI.f32)) s)))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (PI.f32)) s))
(/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (PI.f32)) s)
(/.f32 #s(literal 1/8 binary32) r)
#s(literal 1/8 binary32)
r
(*.f32 (PI.f32) s)
(PI.f32)
s
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (PI.f32)) s) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
(/.f32 #s(literal 3/4 binary32) (cbrt.f32 (exp.f32 (/.f32 r s))))
#s(literal 3/4 binary32)
(exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))
(exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(/.f32 (/.f32 r s) #s(literal -3 binary32))
(neg.f32 r)
(*.f32 #s(literal 3 binary32) s)
#s(literal 3 binary32)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)
(*.f32 #s(literal 6 binary32) (PI.f32))
#s(literal 6 binary32)
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) (*.f32 (*.f32 (PI.f32) s) r))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (PI.f32)) s) (+.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s))))
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))))
(fma.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) #s(literal 1/8 binary32) (/.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r s))))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(neg.f32 r)
r
s
#s(literal 1/8 binary32)
(*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))
(*.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) #s(literal 1/8 binary32))
(exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))
(exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)))
(/.f32 r (*.f32 #s(literal -3 binary32) s))
(/.f32 (/.f32 r s) #s(literal -3 binary32))
(*.f32 #s(literal -3 binary32) s)
#s(literal -3 binary32)
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 (PI.f32) s)
(PI.f32)

localize174.0ms (1.4%)

Memory
-30.7MiB live, 303.6MiB allocated; 70ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.09354367311185248
(exp.f32 (/.f32 (neg.f32 r) s))
accuracy0.25390625
(/.f32 r (*.f32 #s(literal -3 binary32) s))
accuracy0.25390625
(*.f32 (*.f32 (PI.f32) s) r)
accuracy0.36328125
(*.f32 (PI.f32) s)
accuracy0.28515625
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
accuracy0.35546875
(/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))
accuracy0.36328125
(*.f32 (PI.f32) s)
accuracy29.290507949377155
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s)))
accuracy0.17578125
(/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32))
accuracy0.4800193410763237
(fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s))
accuracy0.6006472845834341
(/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) r)
accuracy29.06720287453853
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) r))
accuracy0.0
(PI.f32)
accuracy0.274101269536884
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
accuracy0.43978500976844204
(*.f32 (*.f32 r s) (PI.f32))
accuracy29.19510814029742
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
accuracy0.1640625
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
accuracy0.25390625
(*.f32 (*.f32 (PI.f32) s) r)
accuracy0.34765625
(/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32))
accuracy0.36328125
(*.f32 (PI.f32) s)
Samples
128.0ms256×0valid
Compiler

Compiled 464 to 61 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-div: 52.0ms (48.6% of total)
ival-mult: 28.0ms (26.2% of total)
ival-exp: 14.0ms (13.1% of total)
ival-add: 4.0ms (3.7% of total)
const: 4.0ms (3.7% 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)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series37.0ms (0.3%)

Memory
7.0MiB live, 59.5MiB allocated; 19ms collecting garbage
Counts
28 → 102
Calls
Call 1
Inputs
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32))
(/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32))
(/.f32 #s(literal 3/4 binary32) s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(*.f32 (*.f32 r s) (PI.f32))
(*.f32 r s)
(fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) r))
(/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) r)
(/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) (*.f32 (*.f32 (PI.f32) s) r))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(*.f32 (PI.f32) s)
(*.f32 (*.f32 (PI.f32) s) r)
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(PI.f32)
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s)))
(/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(/.f32 r (*.f32 #s(literal -3 binary32) s))
Outputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(* 1/8 (exp (* -1 (/ r s))))
(/ 3/4 (* s (PI)))
(/ 3/4 s)
(/ 1/4 (* r (* s (PI))))
(* r (* s (PI)))
(* r s)
(* -1/6 (/ r (pow s 2)))
(/ (+ (* -1/6 r) (* 1/4 s)) (pow s 2))
(/ -1/6 (* (pow s 2) (PI)))
(/ (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))) (pow s 2))
(* -1/6 (/ r (* (pow s 2) (PI))))
(/ (+ (* -1/6 (/ r (PI))) (* 1/4 (/ s (PI)))) (pow s 2))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 3/4 (exp (* -1/3 (/ r s))))
(* -1/3 (/ r s))
(+ (* 1/8 (exp (* -1 (/ r s)))) (* 1/8 (exp (* -1/3 (/ r s)))))
(/ (+ (* 1/8 (exp (* -1 (/ r s)))) (* 1/8 (exp (* -1/3 (/ r s))))) (* r (* s (PI))))
(exp (* -1 (/ r s)))
(* -1 (/ r s))
(* s (PI))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/ 1/8 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
1/8
(+ 1/8 (* -1/8 (/ r s)))
(+ 1/8 (+ (* -1/8 (/ r s)) (* 1/16 (/ (pow r 2) (pow s 2)))))
(+ 1/8 (+ (* -1/8 (/ r s)) (+ (* -1/48 (/ (pow r 3) (pow s 3))) (* 1/16 (/ (pow r 2) (pow s 2))))))
(/ 1/4 s)
(/ (+ 1/4 (* -1/6 (/ r s))) s)
(/ 1/4 (* s (PI)))
(/ (+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) s)
(/ (- (* 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)
3/4
(+ 3/4 (* -1/4 (/ r s)))
(+ 3/4 (+ (* -1/4 (/ r s)) (* 1/24 (/ (pow r 2) (pow s 2)))))
(+ 3/4 (+ (* -1/4 (/ r s)) (+ (* -1/216 (/ (pow r 3) (pow s 3))) (* 1/24 (/ (pow r 2) (pow s 2))))))
1/4
(+ 1/4 (+ (* -1/8 (/ r s)) (* -1/24 (/ r s))))
(+ 1/4 (+ (* -1/8 (/ r s)) (+ (* -1/24 (/ r s)) (+ (* 1/144 (/ (pow r 2) (pow s 2))) (* 1/16 (/ (pow r 2) (pow s 2)))))))
(+ 1/4 (+ (* -1/8 (/ r s)) (+ (* -1/24 (/ r s)) (+ (* -1/48 (/ (pow r 3) (pow s 3))) (+ (* -1/1296 (/ (pow r 3) (pow s 3))) (+ (* 1/144 (/ (pow r 2) (pow s 2))) (* 1/16 (/ (pow r 2) (pow s 2)))))))))
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))))))
(/ (- (* 1/8 (/ 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 (/ (- (* 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 (* -1 (/ (+ (* -1/16 (/ (pow r 2) s)) (* 1/8 r)) s)))
(+ 1/8 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 3) s)) (* 1/16 (pow r 2))) s)) (* 1/8 r)) s)))
(* -1 (/ (- (* 1/6 (/ r s)) 1/4) s))
(* -1 (/ (- (* 1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) s))
(* -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))
(+ 3/4 (* -1 (/ (+ (* -1/24 (/ (pow r 2) s)) (* 1/4 r)) s)))
(+ 3/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/216 (/ (pow r 3) s)) (* 1/24 (pow r 2))) s)) (* 1/4 r)) s)))
(+ 1/4 (* -1 (/ (+ (* 1/24 r) (* 1/8 r)) s)))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* 1/144 (pow r 2)) (* 1/16 (pow r 2))) s)) (+ (* 1/24 r) (* 1/8 r))) s)))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/1296 (pow r 3)) (* 1/48 (pow r 3))) s)) (+ (* 1/144 (pow r 2)) (* 1/16 (pow r 2)))) s)) (+ (* 1/24 r) (* 1/8 r))) s)))
(* -1 (/ (- (* -1 (/ (- (+ (* 1/144 (/ r (* s (PI)))) (* 1/16 (/ r (* s (PI))))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (+ (* 1/144 (/ r (PI))) (* 1/16 (/ r (PI))))) (+ (* 1/1296 (/ (pow r 2) (* s (PI)))) (* 1/48 (/ (pow r 2) (* s (PI)))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(* -1 (/ (- (* 1/8 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* 1/48 (/ (pow r 2) (* s (PI))))) s)) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(+ 1/8 (* r (- (* 1/16 (/ r (pow s 2))) (* 1/8 (/ 1 s)))))
(+ 1/8 (* r (- (* r (+ (* -1/48 (/ r (pow s 3))) (* 1/16 (/ 1 (pow s 2))))) (* 1/8 (/ 1 s)))))
(+ (* -1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s)))
(+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* 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)
(+ 3/4 (* r (- (* 1/24 (/ r (pow s 2))) (* 1/4 (/ 1 s)))))
(+ 3/4 (* r (- (* r (+ (* -1/216 (/ r (pow s 3))) (* 1/24 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(+ 1/4 (* -1/6 (/ r s)))
(+ 1/4 (* r (- (* 5/72 (/ r (pow s 2))) (* 1/6 (/ 1 s)))))
(+ 1/4 (* r (- (* r (+ (* -7/324 (/ r (pow s 3))) (* 5/72 (/ 1 (pow s 2))))) (* 1/6 (/ 1 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))))
(/ (+ (* -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))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* r (- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2)))))
(- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))
(* r (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (* r (- (* 1/6 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* r s))))))
(* -1 (* r (- (* 1/6 (/ 1 (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (* s (PI))))))))
Calls

6 calls:

TimeVariablePointExpression
13.0ms
r
@inf
((+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r))) (* (exp (/ (neg r) s)) 1/8) (/ (/ 3/4 s) (PI)) (/ 3/4 s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* r s) (PI))) (* (* r s) (PI)) (* r s) (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* 3/4 (exp (/ (neg r) (* 3 s)))) (/ (neg r) (* 3 s)) (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ r (* -3 s))))) (/ (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ r (* -3 s))))) (* (* (PI) s) r)) (exp (/ (neg r) s)) (/ (neg r) s) (* (PI) s) (* (* (PI) s) r) (/ (/ r -3) s) (PI) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ 1/8 r) (* (PI) s)) (* (* (* 6 (PI)) s) r) (/ r (* -3 s)))
6.0ms
r
@-inf
((+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r))) (* (exp (/ (neg r) s)) 1/8) (/ (/ 3/4 s) (PI)) (/ 3/4 s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* r s) (PI))) (* (* r s) (PI)) (* r s) (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* 3/4 (exp (/ (neg r) (* 3 s)))) (/ (neg r) (* 3 s)) (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ r (* -3 s))))) (/ (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ r (* -3 s))))) (* (* (PI) s) r)) (exp (/ (neg r) s)) (/ (neg r) s) (* (PI) s) (* (* (PI) s) r) (/ (/ r -3) s) (PI) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ 1/8 r) (* (PI) s)) (* (* (* 6 (PI)) s) r) (/ r (* -3 s)))
5.0ms
s
@0
((+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r))) (* (exp (/ (neg r) s)) 1/8) (/ (/ 3/4 s) (PI)) (/ 3/4 s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* r s) (PI))) (* (* r s) (PI)) (* r s) (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* 3/4 (exp (/ (neg r) (* 3 s)))) (/ (neg r) (* 3 s)) (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ r (* -3 s))))) (/ (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ r (* -3 s))))) (* (* (PI) s) r)) (exp (/ (neg r) s)) (/ (neg r) s) (* (PI) s) (* (* (PI) s) r) (/ (/ r -3) s) (PI) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ 1/8 r) (* (PI) s)) (* (* (* 6 (PI)) s) r) (/ r (* -3 s)))
4.0ms
s
@-inf
((+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r))) (* (exp (/ (neg r) s)) 1/8) (/ (/ 3/4 s) (PI)) (/ 3/4 s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* r s) (PI))) (* (* r s) (PI)) (* r s) (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* 3/4 (exp (/ (neg r) (* 3 s)))) (/ (neg r) (* 3 s)) (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ r (* -3 s))))) (/ (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ r (* -3 s))))) (* (* (PI) s) r)) (exp (/ (neg r) s)) (/ (neg r) s) (* (PI) s) (* (* (PI) s) r) (/ (/ r -3) s) (PI) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ 1/8 r) (* (PI) s)) (* (* (* 6 (PI)) s) r) (/ r (* -3 s)))
4.0ms
s
@inf
((+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (/ (* (exp (/ (neg r) s)) 1/8) (* (* (PI) s) r))) (* (exp (/ (neg r) s)) 1/8) (/ (/ 3/4 s) (PI)) (/ 3/4 s) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ 1/4 (* (* r s) (PI))) (* (* r s) (PI)) (* r s) (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (* 3/4 (exp (/ (neg r) (* 3 s)))) (/ (neg r) (* 3 s)) (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ r (* -3 s))))) (/ (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ r (* -3 s))))) (* (* (PI) s) r)) (exp (/ (neg r) s)) (/ (neg r) s) (* (PI) s) (* (* (PI) s) r) (/ (/ r -3) s) (PI) (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (/ 1/8 r) (* (PI) s)) (* (* (* 6 (PI)) s) r) (/ r (* -3 s)))

simplify226.0ms (1.8%)

Memory
35.3MiB live, 312.3MiB allocated; 74ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04871720
116021626
254831542
087331454
Stop Event
iter limit
node limit
Counts
102 → 102
Calls
Call 1
Inputs
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* r (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (PI))))) s)
(* 1/8 (exp (* -1 (/ r s))))
(/ 3/4 (* s (PI)))
(/ 3/4 s)
(/ 1/4 (* r (* s (PI))))
(* r (* s (PI)))
(* r s)
(* -1/6 (/ r (pow s 2)))
(/ (+ (* -1/6 r) (* 1/4 s)) (pow s 2))
(/ -1/6 (* (pow s 2) (PI)))
(/ (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))) (pow s 2))
(* -1/6 (/ r (* (pow s 2) (PI))))
(/ (+ (* -1/6 (/ r (PI))) (* 1/4 (/ s (PI)))) (pow s 2))
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(* 3/4 (exp (* -1/3 (/ r s))))
(* -1/3 (/ r s))
(+ (* 1/8 (exp (* -1 (/ r s)))) (* 1/8 (exp (* -1/3 (/ r s)))))
(/ (+ (* 1/8 (exp (* -1 (/ r s)))) (* 1/8 (exp (* -1/3 (/ r s))))) (* r (* s (PI))))
(exp (* -1 (/ r s)))
(* -1 (/ r s))
(* s (PI))
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(/ 1/8 (* r (* s (PI))))
(* 6 (* r (* s (PI))))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
1/8
(+ 1/8 (* -1/8 (/ r s)))
(+ 1/8 (+ (* -1/8 (/ r s)) (* 1/16 (/ (pow r 2) (pow s 2)))))
(+ 1/8 (+ (* -1/8 (/ r s)) (+ (* -1/48 (/ (pow r 3) (pow s 3))) (* 1/16 (/ (pow r 2) (pow s 2))))))
(/ 1/4 s)
(/ (+ 1/4 (* -1/6 (/ r s))) s)
(/ 1/4 (* s (PI)))
(/ (+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) s)
(/ (- (* 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)
3/4
(+ 3/4 (* -1/4 (/ r s)))
(+ 3/4 (+ (* -1/4 (/ r s)) (* 1/24 (/ (pow r 2) (pow s 2)))))
(+ 3/4 (+ (* -1/4 (/ r s)) (+ (* -1/216 (/ (pow r 3) (pow s 3))) (* 1/24 (/ (pow r 2) (pow s 2))))))
1/4
(+ 1/4 (+ (* -1/8 (/ r s)) (* -1/24 (/ r s))))
(+ 1/4 (+ (* -1/8 (/ r s)) (+ (* -1/24 (/ r s)) (+ (* 1/144 (/ (pow r 2) (pow s 2))) (* 1/16 (/ (pow r 2) (pow s 2)))))))
(+ 1/4 (+ (* -1/8 (/ r s)) (+ (* -1/24 (/ r s)) (+ (* -1/48 (/ (pow r 3) (pow s 3))) (+ (* -1/1296 (/ (pow r 3) (pow s 3))) (+ (* 1/144 (/ (pow r 2) (pow s 2))) (* 1/16 (/ (pow r 2) (pow s 2)))))))))
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))))))
(/ (- (* 1/8 (/ 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 (/ (- (* 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 (* -1 (/ (+ (* -1/16 (/ (pow r 2) s)) (* 1/8 r)) s)))
(+ 1/8 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 3) s)) (* 1/16 (pow r 2))) s)) (* 1/8 r)) s)))
(* -1 (/ (- (* 1/6 (/ r s)) 1/4) s))
(* -1 (/ (- (* 1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) s))
(* -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))
(+ 3/4 (* -1 (/ (+ (* -1/24 (/ (pow r 2) s)) (* 1/4 r)) s)))
(+ 3/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/216 (/ (pow r 3) s)) (* 1/24 (pow r 2))) s)) (* 1/4 r)) s)))
(+ 1/4 (* -1 (/ (+ (* 1/24 r) (* 1/8 r)) s)))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* 1/144 (pow r 2)) (* 1/16 (pow r 2))) s)) (+ (* 1/24 r) (* 1/8 r))) s)))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/1296 (pow r 3)) (* 1/48 (pow r 3))) s)) (+ (* 1/144 (pow r 2)) (* 1/16 (pow r 2)))) s)) (+ (* 1/24 r) (* 1/8 r))) s)))
(* -1 (/ (- (* -1 (/ (- (+ (* 1/144 (/ r (* s (PI)))) (* 1/16 (/ r (* s (PI))))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (+ (* 1/144 (/ r (PI))) (* 1/16 (/ r (PI))))) (+ (* 1/1296 (/ (pow r 2) (* s (PI)))) (* 1/48 (/ (pow r 2) (* s (PI)))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(* -1 (/ (- (* 1/8 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* 1/48 (/ (pow r 2) (* s (PI))))) s)) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* 5/72 (/ r (* (pow s 3) (PI)))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(/ (+ (* r (- (* r (+ (* -7/324 (/ r (* (pow s 4) (PI)))) (* 5/72 (/ 1 (* (pow s 3) (PI)))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))) (* 1/4 (/ 1 (* s (PI))))) r)
(+ 1/8 (* r (- (* 1/16 (/ r (pow s 2))) (* 1/8 (/ 1 s)))))
(+ 1/8 (* r (- (* r (+ (* -1/48 (/ r (pow s 3))) (* 1/16 (/ 1 (pow s 2))))) (* 1/8 (/ 1 s)))))
(+ (* -1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s)))
(+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* 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)
(+ 3/4 (* r (- (* 1/24 (/ r (pow s 2))) (* 1/4 (/ 1 s)))))
(+ 3/4 (* r (- (* r (+ (* -1/216 (/ r (pow s 3))) (* 1/24 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(+ 1/4 (* -1/6 (/ r s)))
(+ 1/4 (* r (- (* 5/72 (/ r (pow s 2))) (* 1/6 (/ 1 s)))))
(+ 1/4 (* r (- (* r (+ (* -7/324 (/ r (pow s 3))) (* 5/72 (/ 1 (pow s 2))))) (* 1/6 (/ 1 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))))
(/ (+ (* -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))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(* r (- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2)))))
(- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))
(* r (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))))
(* -1 (/ (+ (* -1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* -1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r))
(* -1 (* r (- (* 1/6 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* r s))))))
(* -1 (* r (- (* 1/6 (/ 1 (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (* s (PI))))))))
Outputs
(/ (+ (* 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) r) (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s)))
(* 1/8 (exp (* -1 (/ r s))))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32))
(/ 3/4 (* s (PI)))
(/.f32 #s(literal 3/4 binary32) (*.f32 (PI.f32) s))
(/ 3/4 s)
(/.f32 #s(literal 3/4 binary32) s)
(/ 1/4 (* r (* s (PI))))
(/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32))
(* r (* s (PI)))
(*.f32 (*.f32 (PI.f32) s) r)
(* r s)
(*.f32 r s)
(* -1/6 (/ r (pow s 2)))
(*.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32))
(/ (+ (* -1/6 r) (* 1/4 s)) (pow s 2))
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) r (*.f32 #s(literal 1/4 binary32) s)) s) s)
(/ -1/6 (* (pow s 2) (PI)))
(/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))
(/ (- (* 1/4 (/ s (* r (PI)))) (* 1/6 (/ 1 (PI)))) (pow s 2))
(/.f32 (/.f32 (fma.f32 (/.f32 s r) #s(literal 1/4 binary32) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 s s))
(* -1/6 (/ r (* (pow s 2) (PI))))
(*.f32 (/.f32 (/.f32 (/.f32 r s) s) (PI.f32)) #s(literal -1/6 binary32))
(/ (+ (* -1/6 (/ r (PI))) (* 1/4 (/ s (PI)))) (pow s 2))
(/.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) r (*.f32 #s(literal 1/4 binary32) s)) (PI.f32)) s) s)
(* 1/8 (/ (exp (* -1/3 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (*.f32 (PI.f32) s)))
(* 3/4 (exp (* -1/3 (/ r s))))
(*.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) #s(literal 3/4 binary32))
(* -1/3 (/ r s))
(*.f32 #s(literal -1/3 binary32) (/.f32 r s))
(+ (* 1/8 (exp (* -1 (/ r s)))) (* 1/8 (exp (* -1/3 (/ r s)))))
(*.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (exp.f32 (/.f32 (neg.f32 r) s))) #s(literal 1/8 binary32))
(/ (+ (* 1/8 (exp (* -1 (/ r s)))) (* 1/8 (exp (* -1/3 (/ r s))))) (* r (* s (PI))))
(*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s)))
(exp (* -1 (/ r s)))
(exp.f32 (/.f32 (neg.f32 r) s))
(* -1 (/ r s))
(/.f32 (neg.f32 r) s)
(* s (PI))
(*.f32 (PI.f32) s)
(* 1/8 (/ (exp (* -1 (/ r s))) (* r (* s (PI)))))
(*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)))
(/ 1/8 (* r (* s (PI))))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)
(* 6 (* r (* s (PI))))
(*.f32 (*.f32 (*.f32 (PI.f32) s) r) #s(literal 6 binary32))
(/ (- (* 1/4 (/ 1 (* r (PI)))) (* 1/6 (/ 1 (* s (PI))))) s)
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (fma.f32 (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal 5/72 binary32) s) (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32))) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* -1/1296 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (PI)))))))) (/ 1/6 (* s (PI)))) s)
(/.f32 (fma.f32 (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) (/.f32 r (PI.f32))) #s(literal -7/324 binary32) (fma.f32 (/.f32 (/.f32 r (PI.f32)) s) (/.f32 #s(literal 5/72 binary32) s) (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)))) s)
1/8
#s(literal 1/8 binary32)
(+ 1/8 (* -1/8 (/ r s)))
(fma.f32 #s(literal -1/8 binary32) (/.f32 r s) #s(literal 1/8 binary32))
(+ 1/8 (+ (* -1/8 (/ r s)) (* 1/16 (/ (pow r 2) (pow s 2)))))
(-.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/16 binary32) (*.f32 #s(literal 1/8 binary32) r)) s))
(+ 1/8 (+ (* -1/8 (/ r s)) (+ (* -1/48 (/ (pow r 3) (pow s 3))) (* 1/16 (/ (pow r 2) (pow s 2))))))
(+.f32 (fma.f32 (pow.f32 (/.f32 r s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (/.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 r (/.f32 r s)) (*.f32 #s(literal -1/8 binary32) r)) s)) #s(literal 1/8 binary32))
(/ 1/4 s)
(/.f32 #s(literal 1/4 binary32) s)
(/ (+ 1/4 (* -1/6 (/ r s))) s)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s)
(/ 1/4 (* s (PI)))
(/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s)
(/ (+ (* -1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) s)
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (PI.f32)) s)
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/24 (/ 1 (* s (PI))))) s)
(/.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/8 binary32) r)) (PI.f32)) s)
(/ (- (+ (* 1/144 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/24 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/144 binary32) #s(literal -1/24 binary32)) (PI.f32)) s)) 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)
(/.f32 (fma.f32 (/.f32 #s(literal -1/1296 binary32) (pow.f32 s #s(literal 3 binary32))) (*.f32 r (/.f32 r (PI.f32))) (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/144 binary32) #s(literal -1/24 binary32)) (PI.f32)) s))) s)
3/4
#s(literal 3/4 binary32)
(+ 3/4 (* -1/4 (/ r s)))
(fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))
(+ 3/4 (+ (* -1/4 (/ r s)) (* 1/24 (/ (pow r 2) (pow s 2)))))
(-.f32 #s(literal 3/4 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/24 binary32) (*.f32 #s(literal 1/4 binary32) r)) s))
(+ 3/4 (+ (* -1/4 (/ r s)) (+ (* -1/216 (/ (pow r 3) (pow s 3))) (* 1/24 (/ (pow r 2) (pow s 2))))))
(+.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 r s) #s(literal 3 binary32)) (/.f32 (fma.f32 #s(literal 1/24 binary32) (*.f32 r (/.f32 r s)) (*.f32 #s(literal -1/4 binary32) r)) s)) #s(literal 3/4 binary32))
1/4
#s(literal 1/4 binary32)
(+ 1/4 (+ (* -1/8 (/ r s)) (* -1/24 (/ r s))))
(fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))
(+ 1/4 (+ (* -1/8 (/ r s)) (+ (* -1/24 (/ r s)) (+ (* 1/144 (/ (pow r 2) (pow s 2))) (* 1/16 (/ (pow r 2) (pow s 2)))))))
(fma.f32 #s(literal -1/6 binary32) (/.f32 r s) (fma.f32 #s(literal 5/72 binary32) (*.f32 r (/.f32 (/.f32 r s) s)) #s(literal 1/4 binary32)))
(+ 1/4 (+ (* -1/8 (/ r s)) (+ (* -1/24 (/ r s)) (+ (* -1/48 (/ (pow r 3) (pow s 3))) (+ (* -1/1296 (/ (pow r 3) (pow s 3))) (+ (* 1/144 (/ (pow r 2) (pow s 2))) (* 1/16 (/ (pow r 2) (pow s 2)))))))))
(+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) (fma.f32 (pow.f32 (/.f32 r s) #s(literal 3 binary32)) #s(literal -7/324 binary32) (*.f32 #s(literal 5/72 binary32) (*.f32 r (/.f32 (/.f32 r s) s))))) #s(literal 1/4 binary32))
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)))))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 r (/.f32 r s)) r) s))
(+ 1 (+ (* -1 (/ r s)) (+ (* -1/6 (/ (pow r 3) (pow s 3))) (* 1/2 (/ (pow r 2) (pow s 2))))))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 (/.f32 (pow.f32 r #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 r r))) s)) s))
(/ (- (* 1/8 (/ 1 (* r (PI)))) (* 1/8 (/ 1 (* s (PI))))) s)
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) s) (/.f32 #s(literal 1/8 binary32) r)) (PI.f32)) s)
(/ (- (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI))))) (/ 1/8 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) (PI.f32)) s)) s)
(/ (- (+ (* -1/48 (/ (pow r 2) (* (pow s 3) (PI)))) (+ (* 1/16 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* r (PI)))))) (/ 1/8 (* s (PI)))) s)
(/.f32 (+.f32 (/.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 #s(literal -1/48 binary32) r) s)) (*.f32 s s)) r) (PI.f32)) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) s) (/.f32 #s(literal 1/8 binary32) r)) (PI.f32))) s)
(* -1 (/ (- (* 1/6 (/ 1 (* s (PI)))) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/6 binary32) s)) (PI.f32))) s)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI)))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 2) (PI))) (* -1/1296 (/ (pow r 2) (PI)))) s)) (+ (* -1/16 (/ r (PI))) (* -1/144 (/ r (PI))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 #s(literal -7/324 binary32) (*.f32 r (/.f32 r (PI.f32)))) (neg.f32 s))) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))
(+ 1/8 (* -1 (/ (+ (* -1/16 (/ (pow r 2) s)) (* 1/8 r)) s)))
(-.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/16 binary32) (*.f32 #s(literal 1/8 binary32) r)) s))
(+ 1/8 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow r 3) s)) (* 1/16 (pow r 2))) s)) (* 1/8 r)) s)))
(-.f32 #s(literal 1/8 binary32) (/.f32 (fma.f32 #s(literal 1/8 binary32) r (/.f32 (fma.f32 (/.f32 (pow.f32 r #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (*.f32 (*.f32 r r) #s(literal 1/16 binary32))) (neg.f32 s))) s))
(* -1 (/ (- (* 1/6 (/ r s)) 1/4) s))
(neg.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 r s) #s(literal -1/4 binary32)) s))
(* -1 (/ (- (* 1/6 (/ r (* s (PI)))) (* 1/4 (/ 1 (PI)))) s))
(/.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 r s) #s(literal -1/4 binary32)) (PI.f32)) (neg.f32 s))
(* -1 (/ (- (* 1/24 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/24 binary32) s)) (PI.f32)) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* 1/144 (/ r (* s (PI)))) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/144 binary32) #s(literal -1/24 binary32)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/144 (/ r (PI))) (* 1/1296 (/ (pow r 2) (* s (PI))))) s)) (* 1/24 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 1/1296 binary32) (*.f32 #s(literal -1/144 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/24 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))
(+ 3/4 (* -1 (/ (+ (* -1/24 (/ (pow r 2) s)) (* 1/4 r)) s)))
(-.f32 #s(literal 3/4 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/24 binary32) (*.f32 #s(literal 1/4 binary32) r)) s))
(+ 3/4 (* -1 (/ (+ (* -1 (/ (+ (* -1/216 (/ (pow r 3) s)) (* 1/24 (pow r 2))) s)) (* 1/4 r)) s)))
(-.f32 #s(literal 3/4 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) r (/.f32 (fma.f32 (/.f32 (pow.f32 r #s(literal 3 binary32)) s) #s(literal -1/216 binary32) (*.f32 #s(literal 1/24 binary32) (*.f32 r r))) (neg.f32 s))) s))
(+ 1/4 (* -1 (/ (+ (* 1/24 r) (* 1/8 r)) s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* 1/144 (pow r 2)) (* 1/16 (pow r 2))) s)) (+ (* 1/24 r) (* 1/8 r))) s)))
(-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) r (/.f32 (*.f32 #s(literal 5/72 binary32) (*.f32 r r)) (neg.f32 s))) s))
(+ 1/4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/1296 (pow r 3)) (* 1/48 (pow r 3))) s)) (+ (* 1/144 (pow r 2)) (* 1/16 (pow r 2)))) s)) (+ (* 1/24 r) (* 1/8 r))) s)))
(-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) r (/.f32 (fma.f32 #s(literal 5/72 binary32) (*.f32 r r) (/.f32 (*.f32 #s(literal 7/324 binary32) (pow.f32 r #s(literal 3 binary32))) (neg.f32 s))) (neg.f32 s))) s))
(* -1 (/ (- (* -1 (/ (- (+ (* 1/144 (/ r (* s (PI)))) (* 1/16 (/ r (* s (PI))))) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 5/72 binary32) #s(literal -1/6 binary32)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (+ (* 1/144 (/ r (PI))) (* 1/16 (/ r (PI))))) (+ (* 1/1296 (/ (pow r 2) (* s (PI)))) (* 1/48 (/ (pow r 2) (* s (PI)))))) s)) (* 1/6 (/ 1 (PI)))) s)) (* 1/4 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 7/324 binary32) (*.f32 r #s(literal -5/72 binary32))) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))
(+ 1 (* -1 (/ (+ r (* -1/2 (/ (pow r 2) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 r (/.f32 r s)) r) s))
(+ 1 (* -1 (/ (+ r (* -1 (/ (+ (* -1/6 (/ (pow r 3) s)) (* 1/2 (pow r 2))) s))) s)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 r (/.f32 (fma.f32 (/.f32 (pow.f32 r #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 r r))) s)) s))
(* -1 (/ (- (* 1/8 (/ 1 (* s (PI)))) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/8 binary32) s)) (PI.f32)) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* 1/16 (/ r (* s (PI)))) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/16 (/ r (PI))) (* 1/48 (/ (pow r 2) (* s (PI))))) s)) (* 1/8 (/ 1 (PI)))) s)) (* 1/8 (/ 1 (* r (PI))))) s))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 1/48 binary32) (*.f32 #s(literal -1/16 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/8 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))
(/ (+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI))))) r)
(/.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (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 (/.f32 (fma.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32) (/.f32 (/.f32 #s(literal -1/6 binary32) s) s)) (PI.f32)) r (/.f32 (/.f32 #s(literal 1/4 binary32) (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 (fma.f32 (/.f32 (fma.f32 (/.f32 r (pow.f32 s #s(literal 4 binary32))) #s(literal -7/324 binary32) (/.f32 #s(literal 5/72 binary32) (pow.f32 s #s(literal 3 binary32)))) (PI.f32)) r (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s)) r)
(+ 1/8 (* r (- (* 1/16 (/ r (pow s 2))) (* 1/8 (/ 1 s)))))
(fma.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 #s(literal 1/16 binary32) r) s)) s) r #s(literal 1/8 binary32))
(+ 1/8 (* r (- (* r (+ (* -1/48 (/ r (pow s 3))) (* 1/16 (/ 1 (pow s 2))))) (* 1/8 (/ 1 s)))))
(fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 #s(literal -1/48 binary32) r) s)) (*.f32 s s)) r (/.f32 #s(literal -1/8 binary32) s)) r #s(literal 1/8 binary32))
(+ (* -1/6 (/ r (pow s 2))) (* 1/4 (/ 1 s)))
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s)
(+ (* -1/6 (/ r (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* s (PI)))))
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (PI.f32)) s)
(/ (+ (* -1/24 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/24 binary32) (/.f32 #s(literal 1/8 binary32) s)) (PI.f32)) r)
(/ (+ (* r (- (* 1/144 (/ r (* (pow s 3) (PI)))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 1/144 binary32) (/.f32 #s(literal -1/24 binary32) (*.f32 s s))) (PI.f32)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(/ (+ (* r (- (* r (+ (* -1/1296 (/ r (* (pow s 4) (PI)))) (* 1/144 (/ 1 (* (pow s 3) (PI)))))) (* 1/24 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (pow.f32 s #s(literal 4 binary32))) #s(literal -1/1296 binary32) (/.f32 #s(literal 1/144 binary32) (pow.f32 s #s(literal 3 binary32)))) (PI.f32)) r (/.f32 (/.f32 #s(literal -1/24 binary32) (*.f32 s s)) (PI.f32))) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(+ 3/4 (* r (- (* 1/24 (/ r (pow s 2))) (* 1/4 (/ 1 s)))))
(fma.f32 (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 r s) #s(literal -1/4 binary32)) s) r #s(literal 3/4 binary32))
(+ 3/4 (* r (- (* r (+ (* -1/216 (/ r (pow s 3))) (* 1/24 (/ 1 (pow s 2))))) (* 1/4 (/ 1 s)))))
(fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1/24 binary32) (/.f32 (*.f32 #s(literal -1/216 binary32) r) s)) (*.f32 s s)) r (/.f32 #s(literal -1/4 binary32) s)) r #s(literal 3/4 binary32))
(+ 1/4 (* -1/6 (/ r s)))
(fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))
(+ 1/4 (* r (- (* 5/72 (/ r (pow s 2))) (* 1/6 (/ 1 s)))))
(fma.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 5/72 binary32) r) s)) s) r #s(literal 1/4 binary32))
(+ 1/4 (* r (- (* r (+ (* -7/324 (/ r (pow s 3))) (* 5/72 (/ 1 (pow s 2))))) (* 1/6 (/ 1 s)))))
(fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 5/72 binary32) (/.f32 (*.f32 #s(literal -7/324 binary32) r) s)) (*.f32 s s)) r (/.f32 #s(literal -1/6 binary32) s)) r #s(literal 1/4 binary32))
(+ 1 (* r (- (* 1/2 (/ r (pow s 2))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) r) (/.f32 #s(literal 1 binary32) s)) r #s(literal 1 binary32))
(+ 1 (* r (- (* r (+ (* -1/6 (/ r (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))
(fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/2 binary32)) (*.f32 s s)) r) (/.f32 #s(literal 1 binary32) s)) r #s(literal 1 binary32))
(/ (+ (* -1/8 (/ r (* (pow s 2) (PI)))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/8 binary32) (/.f32 #s(literal 1/8 binary32) s)) (PI.f32)) r)
(/ (+ (* r (- (* 1/16 (/ r (* (pow s 3) (PI)))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 1/16 binary32))) (PI.f32)) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(/ (+ (* r (- (* r (+ (* -1/48 (/ r (* (pow s 4) (PI)))) (* 1/16 (/ 1 (* (pow s 3) (PI)))))) (* 1/8 (/ 1 (* (pow s 2) (PI)))))) (* 1/8 (/ 1 (* s (PI))))) r)
(/.f32 (fma.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 r (pow.f32 s #s(literal 4 binary32))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/16 binary32) (pow.f32 s #s(literal 3 binary32)))) (PI.f32)) r (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)
(/ (+ (* 1/8 (/ (exp (* -1 (/ r s))) (* s (PI)))) (* 1/8 (/ (exp (* -1/3 (/ r s))) (* s (PI))))) r)
(*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s)))
(* r (- (* 1/4 (/ 1 (* r s))) (* 1/6 (/ 1 (pow s 2)))))
(*.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) s) r)
(- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI)))))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))
(* r (- (* 1/4 (/ 1 (* r (* s (PI))))) (* 1/6 (/ 1 (* (pow s 2) (PI))))))
(*.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) 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) r) (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/3 binary32)) (/.f32 r s)) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (PI.f32) s)))
(* -1 (* r (- (* 1/6 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* r s))))))
(*.f32 (neg.f32 r) (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/6 binary32) s)) s))
(* -1 (* r (- (* 1/6 (/ 1 (* (pow s 2) (PI)))) (* 1/4 (/ 1 (* r (* s (PI))))))))
(*.f32 (neg.f32 r) (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/6 binary32) s)) (*.f32 (PI.f32) s)))

rewrite317.0ms (2.5%)

Memory
-70.7MiB live, 352.8MiB allocated; 97ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073358
0118360
1360305
22760305
08425300
Stop Event
iter limit
node limit
iter limit
Counts
28 → 937
Calls
Call 1
Inputs
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)))
(*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32))
(/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32))
(/.f32 #s(literal 3/4 binary32) s)
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
(/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32)))
(*.f32 (*.f32 r s) (PI.f32))
(*.f32 r s)
(fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) r))
(/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) r)
(/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r))
(*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) (*.f32 (*.f32 (PI.f32) s) r))
(exp.f32 (/.f32 (neg.f32 r) s))
(/.f32 (neg.f32 r) s)
(*.f32 (PI.f32) s)
(*.f32 (*.f32 (PI.f32) s) r)
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(PI.f32)
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s)))
(/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(/.f32 r (*.f32 #s(literal -3 binary32) s))
Outputs
(/.f32 (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) #s(literal 1/8 binary32)) (*.f32 r s)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 r s))) (PI.f32))
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 #s(literal 6 binary32) r)) (/.f32 #s(literal 3/4 binary32) s) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 r s))) (PI.f32))
(/.f32 (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) #s(literal 1/8 binary32)) r) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) r)) (*.f32 (PI.f32) s))
(/.f32 (fma.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 #s(literal 6 binary32) r)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) r)) (*.f32 (PI.f32) s))
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 #s(literal 6 binary32) r)) #s(literal 3/4 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) r)) (*.f32 (PI.f32) s))
(/.f32 (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) #s(literal 1/8 binary32)) (PI.f32)) (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (PI.f32))) (*.f32 r s))
(/.f32 (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) #s(literal 1/8 binary32)) (PI.f32)) (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 #s(literal 2 binary32) (PI.f32)))) (*.f32 r s))
(/.f32 (+.f32 (neg.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) #s(literal -1/8 binary32))) (neg.f32 r))
(/.f32 (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32))) #s(literal 6 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) #s(literal 1/8 binary32))) r)
(/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) #s(literal 1/8 binary32))) r)
(/.f32 (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) s)) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) #s(literal 1/8 binary32))) r)
(/.f32 (fma.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) #s(literal 1/8 binary32))) r)
(/.f32 (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) #s(literal 1/8 binary32)) r) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) r))) (*.f32 (PI.f32) s))
(/.f32 (fma.f32 #s(literal 3/4 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 #s(literal 6 binary32) r)) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) r))) (*.f32 (PI.f32) s))
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 #s(literal 6 binary32) r)) #s(literal 3/4 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) r))) (*.f32 (PI.f32) s))
(/.f32 (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32))) #s(literal 6 binary32)) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) r)
(/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) r)
(/.f32 (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) s)) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) r)
(/.f32 (fma.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) r)
(/.f32 (+.f32 (neg.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))) (neg.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))))) (neg.f32 r))
(/.f32 (+.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32))) #s(literal 6 binary32)) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))) r)
(/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)))) r)
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) #s(literal 1/8 binary32) (/.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32))) #s(literal 6 binary32))) r)
(/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32))) #s(literal 6 binary32))) r)
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) (/.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32))) #s(literal 6 binary32))) r)
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (PI.f32)) (/.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) #s(literal 3/4 binary32)) (*.f32 #s(literal 6 binary32) (PI.f32)))) (*.f32 r s))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) #s(literal 3/4 binary32)) (*.f32 #s(literal 6 binary32) (PI.f32)))) (*.f32 r s))
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(/.f32 (neg.f32 r) (neg.f32 (neg.f32 s)))
(/.f32 (neg.f32 r) s)
(/.f32 r (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 r (neg.f32 s))
(neg.f32 (/.f32 r s))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) s))
(*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 s (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) s))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) s))
(*.f32 (PI.f32) s)
(*.f32 s (PI.f32))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) r) s))
(*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 r s) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 r (PI.f32)) s)
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 r s)))
(*.f32 (*.f32 r s) (PI.f32))
(*.f32 (*.f32 (PI.f32) s) r)
(*.f32 r (*.f32 (PI.f32) s))
(*.f32 (PI.f32) (*.f32 r s))
(*.f32 s (*.f32 r (PI.f32)))
(/.f32 (/.f32 r #s(literal 3 binary32)) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (/.f32 r #s(literal 3 binary32)) (neg.f32 s))
(/.f32 (/.f32 r s) #s(literal -3 binary32))
(/.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(/.f32 (/.f32 r #s(literal -3 binary32)) (neg.f32 (neg.f32 s)))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(/.f32 r (*.f32 #s(literal -3 binary32) s))
(neg.f32 (/.f32 (/.f32 r #s(literal 3 binary32)) s))
(log.f32 (exp.f32 (PI.f32)))
(*.f32 (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (PI.f32))) (sqrt.f32 (neg.f32 (PI.f32))))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) (cbrt.f32 (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 1 binary32)))
(*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(*.f32 (sqrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32)))))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (cbrt.f32 (PI.f32)) (sqrt.f32 (*.f32 (cbrt.f32 (PI.f32)) (PI.f32))))
(*.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))
(sqrt.f32 (*.f32 (PI.f32) (PI.f32)))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (log.f32 (PI.f32)))
(pow.f32 (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(fabs.f32 (neg.f32 (PI.f32)))
(fabs.f32 (PI.f32))
(+.f32 (cosh.f32 (log.f32 (PI.f32))) (sinh.f32 (log.f32 (PI.f32))))
(exp.f32 (/.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (/.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32)))
(exp.f32 (log.f32 (PI.f32)))
(PI.f32)
#s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (PI.f32)) s))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) s)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r s))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32))) (neg.f32 (*.f32 r s)))
(/.f32 (neg.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (PI.f32)))) (neg.f32 (neg.f32 s)))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) s) (PI.f32))
(/.f32 (neg.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (neg.f32 r))
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (PI.f32))
(/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 r s))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (PI.f32))) (neg.f32 s))
(/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (PI.f32)) s)
(/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)
(/.f32 (/.f32 #s(literal -1/8 binary32) r) (neg.f32 (neg.f32 (*.f32 (neg.f32 s) (PI.f32)))))
(/.f32 (/.f32 #s(literal -1/8 binary32) r) (*.f32 (neg.f32 s) (PI.f32)))
(/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (neg.f32 s) (PI.f32)) r))
(/.f32 (/.f32 #s(literal 1/8 binary32) r) (neg.f32 (*.f32 (neg.f32 s) (PI.f32))))
(/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))
(/.f32 #s(literal 1/8 binary32) (neg.f32 (*.f32 (*.f32 (neg.f32 s) (PI.f32)) r)))
(/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(neg.f32 (/.f32 (/.f32 #s(literal -1/8 binary32) r) (*.f32 (PI.f32) s)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) #s(literal 6 binary32)) (*.f32 r s)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) s) (*.f32 #s(literal 6 binary32) r)))
(log.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) r) s) #s(literal 6 binary32)))
(*.f32 (*.f32 r (*.f32 #s(literal 6 binary32) (PI.f32))) s)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r) s)
(*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)
(*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) (*.f32 r s))
(*.f32 (*.f32 r s) (*.f32 #s(literal 6 binary32) (PI.f32)))
(*.f32 (*.f32 #s(literal 6 binary32) r) (*.f32 (PI.f32) s))
(*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))
(*.f32 r (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s))
(*.f32 (PI.f32) (*.f32 #s(literal 6 binary32) (*.f32 r s)))
(*.f32 s (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) r))
(/.f32 (/.f32 r #s(literal 3 binary32)) (neg.f32 (neg.f32 (neg.f32 s))))
(/.f32 (/.f32 r #s(literal 3 binary32)) (neg.f32 s))
(/.f32 (/.f32 r s) #s(literal -3 binary32))
(/.f32 (/.f32 (neg.f32 r) s) #s(literal 3 binary32))
(/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s))
(/.f32 (/.f32 r #s(literal -3 binary32)) (neg.f32 (neg.f32 s)))
(/.f32 (/.f32 r #s(literal -3 binary32)) s)
(/.f32 r (*.f32 #s(literal -3 binary32) s))
(neg.f32 (/.f32 (/.f32 r #s(literal 3 binary32)) s))

eval164.0ms (1.3%)

Memory
17.6MiB live, 200.7MiB allocated; 43ms collecting garbage
Compiler

Compiled 45 972 to 3 763 computations (91.8% saved)

prune176.0ms (1.4%)

Memory
12.3MiB live, 307.4MiB allocated; 40ms collecting garbage
Pruning

79 alts after pruning (73 fresh and 6 done)

PrunedKeptTotal
New1 052201 072
Fresh85361
Picked235
Done033
Total1 062791 141
Accuracy
99.9%
Counts
1 141 → 79
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) (PI.f32)) s) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)))
99.6%
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) s) r)))
8.9%
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (*.f32 (PI.f32) s))))
52.3%
(fma.f32 (/.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s))) (/.f32 (*.f32 (*.f32 s r) (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 3/4 binary32))) r) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)))))
97.3%
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (*.f32 s r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
11.0%
(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/18 binary32) s) s) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
11.0%
(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
9.3%
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) (/.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) #s(literal 1 binary32)) r) (*.f32 #s(literal 6 binary32) (PI.f32))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
9.3%
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) #s(approx (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
9.8%
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) #s(approx (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/18 binary32) (*.f32 (PI.f32) s)))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
98.4%
(fma.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
10.9%
(fma.f32 #s(approx (/ (exp (/ (/ r -3) s)) 6) (-.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/108 binary32) (*.f32 #s(literal 1/18 binary32) r)) s))) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
9.3%
(fma.f32 #s(approx (/ (exp (/ (/ r -3) s)) 6) #s(literal 1/6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
8.9%
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (PI.f32)) s)))
99.6%
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
99.5%
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s)) #s(literal 1/8 binary32) (/.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) #s(literal 1/8 binary32)) (*.f32 (PI.f32) s))) r)
9.8%
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
10.9%
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
9.3%
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) #s(literal 1 binary32)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
99.2%
(/.f32 (fma.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32)) r (*.f32 (*.f32 s r) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (exp.f32 (/.f32 (neg.f32 r) s))))) (*.f32 (*.f32 s r) r))
62.0%
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 3/4 binary32)) (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) #s(literal 6 binary32)) r) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) s) #s(literal 6 binary32)) r) (*.f32 (*.f32 (PI.f32) s) r)))
99.2%
(/.f32 (fma.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) (*.f32 (*.f32 (PI.f32) s) r) (*.f32 r (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))))) (*.f32 r (*.f32 (*.f32 (PI.f32) s) r)))
60.8%
(/.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (PI.f32) s) r) (*.f32 (*.f32 (*.f32 (neg.f32 s) (PI.f32)) r) (*.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) #s(literal 1/8 binary32)))) (*.f32 (*.f32 (*.f32 (neg.f32 s) (PI.f32)) r) (*.f32 (*.f32 (PI.f32) s) r)))
99.6%
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 r s) (PI.f32)))
99.5%
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s))))
99.3%
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) (*.f32 (*.f32 (*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))) s) r))
99.5%
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) (*.f32 (*.f32 (PI.f32) s) r))
99.5%
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 #s(approx (/ (/ r -3) s) (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))))) (*.f32 (*.f32 (PI.f32) s) r))
8.9%
(/.f32 (fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) (*.f32 (*.f32 (PI.f32) s) r))
99.5%
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s)))) r) (*.f32 (PI.f32) s))
99.6%
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (PI.f32) s)) r)
10.2%
(/.f32 (-.f32 (*.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 r) s) #s(literal 2 binary32))) #s(literal 1/64 binary32)) (*.f32 (exp.f32 (*.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)) #s(literal 2 binary32))) #s(literal 1/64 binary32))) (*.f32 (*.f32 #s(literal 1/8 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))) (*.f32 (*.f32 (PI.f32) s) r)))
99.5%
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) (*.f32 (*.f32 (PI.f32) s) r))
8.8%
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 s r))
10.3%
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 5/72 binary32) (/.f32 (*.f32 #s(literal -7/324 binary32) r) s)) (*.f32 s s)) r (/.f32 #s(literal -1/6 binary32) s)) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
10.3%
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
10.2%
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) (fma.f32 (*.f32 (/.f32 r s) (/.f32 r s)) #s(literal 5/72 binary32) #s(literal 1/4 binary32)))) (*.f32 (*.f32 (PI.f32) s) r))
9.1%
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
10.3%
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) r (/.f32 (*.f32 (*.f32 r r) #s(literal 5/72 binary32)) (neg.f32 s))) s))) (*.f32 (*.f32 (PI.f32) s) r))
8.8%
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (fma.f32 (pow.f32 (/.f32 r s) #s(literal 3 binary32)) #s(literal -7/324 binary32) (/.f32 (/.f32 (*.f32 (*.f32 r r) #s(literal 5/72 binary32)) s) s)))) (*.f32 (*.f32 (PI.f32) s) r))
10.3%
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ r (* -3 s))))) (fma.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 5/72 binary32) r) s)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
99.5%
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
10.8%
(+.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)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 1/1296 binary32) (*.f32 #s(literal -1/144 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/24 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))))
7.7%
(+.f32 (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
8.9%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) 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)))
7.7%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
8.9%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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)))
8.9%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
8.8%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) #s(literal 3/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
8.9%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r 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)))
7.7%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 r s))) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
8.9%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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)))
8.9%
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
99.6%
(*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) (PI.f32)) r))
10.2%
#s(approx (/ (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (* (* (PI) s) r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 7/324 binary32) (*.f32 #s(literal -5/72 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (*.f32 s s))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32))) s))
8.7%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) (/.f32 r (PI.f32))) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)))) s))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (*.f32 r (PI.f32))))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (PI.f32)) r))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32)))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
8.8%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (fma.f32 (/.f32 s r) #s(literal 1/4 binary32) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 s s))))
9.1%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))))
10.3%
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) r) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s)) s)))
8.8%
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) (/.f32 r (pow.f32 s #s(literal 3 binary32)))) #s(literal -7/324 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s))) s))
9.1%
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
8.7%
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (fma.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
9.1%
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
Compiler

Compiled 8 194 to 3 006 computations (63.3% saved)

regimes159.0ms (1.2%)

Memory
-18.0MiB live, 311.7MiB allocated; 43ms collecting garbage
Counts
126 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
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(/.f32 (fma.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (*.f32 (*.f32 s r) (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 3/4 binary32)))) (*.f32 (*.f32 s r) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(fma.f32 (/.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) s) r) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s))) (/.f32 (*.f32 (*.f32 s r) (*.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 3/4 binary32))) r) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r)))))
(/.f32 (-.f32 (*.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 r) s) #s(literal 2 binary32))) #s(literal 1/64 binary32)) (*.f32 (exp.f32 (*.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32)) #s(literal 2 binary32))) #s(literal 1/64 binary32))) (*.f32 (*.f32 #s(literal 1/8 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))))) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (-.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 2 binary32)) #s(literal 1/64 binary32)) (*.f32 (exp.f32 (*.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s) #s(literal 2 binary32))) #s(literal 1/64 binary32))) (*.f32 (*.f32 #s(literal 1/8 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 (PI.f32) s) r)))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) (*.f32 (*.f32 (*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))) s) r))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r)))
Outputs
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) (/.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r) (*.f32 #s(literal 6 binary32) (PI.f32))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
Calls

3 calls:

87.0ms
s
36.0ms
r
25.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
99.7%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)))
99.7%1s
99.7%1r
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes95.0ms (0.7%)

Memory
27.3MiB live, 215.8MiB allocated; 17ms collecting garbage
Counts
111 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 s r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (fma.f32 (/.f32 s r) #s(literal 1/4 binary32) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (*.f32 r (PI.f32))))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (PI.f32)) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/6 binary32) s)) (PI.f32)) (neg.f32 s)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) #s(literal 3/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ r (* -3 s))))) (fma.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 5/72 binary32) r) s)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) r (/.f32 (*.f32 (*.f32 r r) #s(literal 5/72 binary32)) (neg.f32 s))) s))) (*.f32 (*.f32 (PI.f32) s) r))
(+.f32 (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) r) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s)) s)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) (fma.f32 (*.f32 (/.f32 r s) (/.f32 r s)) #s(literal 5/72 binary32) #s(literal 1/4 binary32)))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 r s))) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (*.f32 s s))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 5/72 binary32) (/.f32 (*.f32 #s(literal -7/324 binary32) r) s)) (*.f32 s s)) r (/.f32 #s(literal -1/6 binary32) s)) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) r (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32))) s) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
#s(approx (/ (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (* (* (PI) s) r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 7/324 binary32) (*.f32 #s(literal -5/72 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
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(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) #s(literal 3/4 binary32) (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) r)) (*.f32 (PI.f32) s))
(+.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r) (*.f32 (PI.f32) s)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (PI.f32) (*.f32 #s(literal 6 binary32) (*.f32 s r)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (*.f32 s r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (*.f32 (PI.f32) s) #s(literal 6 binary32)) r)) #s(literal 3/4 binary32) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))))
Outputs
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (*.f32 (PI.f32) s) #s(literal 6 binary32)) r)) #s(literal 3/4 binary32) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))))
Calls

3 calls:

36.0ms
s
31.0ms
r
23.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
99.6%1s
99.6%1r
99.6%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes152.0ms (1.2%)

Memory
-17.5MiB live, 170.8MiB allocated; 21ms collecting garbage
Counts
110 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 s r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (fma.f32 (/.f32 s r) #s(literal 1/4 binary32) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (*.f32 r (PI.f32))))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (PI.f32)) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/6 binary32) s)) (PI.f32)) (neg.f32 s)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) #s(literal 3/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ r (* -3 s))))) (fma.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 5/72 binary32) r) s)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) r (/.f32 (*.f32 (*.f32 r r) #s(literal 5/72 binary32)) (neg.f32 s))) s))) (*.f32 (*.f32 (PI.f32) s) r))
(+.f32 (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) r) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s)) s)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) (fma.f32 (*.f32 (/.f32 r s) (/.f32 r s)) #s(literal 5/72 binary32) #s(literal 1/4 binary32)))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 r s))) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (*.f32 s s))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 5/72 binary32) (/.f32 (*.f32 #s(literal -7/324 binary32) r) s)) (*.f32 s s)) r (/.f32 #s(literal -1/6 binary32) s)) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) r (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32))) s) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
#s(approx (/ (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (* (* (PI) s) r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 7/324 binary32) (*.f32 #s(literal -5/72 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
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(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) #s(literal 3/4 binary32) (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) r)) (*.f32 (PI.f32) s))
(+.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r) (*.f32 (PI.f32) s)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (PI.f32) (*.f32 #s(literal 6 binary32) (*.f32 s r)))))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 #s(literal 6 binary32) (PI.f32))) (/.f32 #s(literal 3/4 binary32) (*.f32 s r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
Outputs
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal -3/4 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) (*.f32 #s(literal -6 binary32) (PI.f32)))) (*.f32 r s))
Calls

3 calls:

79.0ms
r
47.0ms
s
21.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
99.6%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
99.6%1s
99.6%1r
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes78.0ms (0.6%)

Memory
25.8MiB live, 168.5MiB allocated; 17ms collecting garbage
Counts
99 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 s r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (fma.f32 (/.f32 s r) #s(literal 1/4 binary32) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (*.f32 r (PI.f32))))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (PI.f32)) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/6 binary32) s)) (PI.f32)) (neg.f32 s)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) #s(literal 3/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ r (* -3 s))))) (fma.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 5/72 binary32) r) s)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) r (/.f32 (*.f32 (*.f32 r r) #s(literal 5/72 binary32)) (neg.f32 s))) s))) (*.f32 (*.f32 (PI.f32) s) r))
(+.f32 (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) r) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s)) s)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) (fma.f32 (*.f32 (/.f32 r s) (/.f32 r s)) #s(literal 5/72 binary32) #s(literal 1/4 binary32)))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 r s))) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (*.f32 s s))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 5/72 binary32) (/.f32 (*.f32 #s(literal -7/324 binary32) r) s)) (*.f32 s s)) r (/.f32 #s(literal -1/6 binary32) s)) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) r (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32))) s) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
#s(approx (/ (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (* (* (PI) s) r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 7/324 binary32) (*.f32 #s(literal -5/72 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 #s(literal 7/324 binary32) (*.f32 r (/.f32 r (PI.f32)))) s)) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
#s(approx (/ (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (* s r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 7/324 binary32) (*.f32 r (/.f32 (/.f32 r s) (PI.f32))) (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)))) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
(/.f32 (fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) #s(literal 1 binary32)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(fma.f32 #s(approx (/ (exp (/ (/ r -3) s)) 6) #s(literal 1/6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) #s(approx (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) #s(literal 1/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (PI.f32))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (PI.f32)) s)))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) (/.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) #s(literal 1 binary32)) r) (*.f32 #s(literal 6 binary32) (PI.f32))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) 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)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (fma.f32 (pow.f32 (/.f32 r s) #s(literal 3 binary32)) #s(literal -7/324 binary32) (/.f32 (/.f32 (*.f32 (*.f32 r r) #s(literal 5/72 binary32)) s) s)))) (*.f32 (*.f32 (PI.f32) s) r))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) #s(approx (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/18 binary32) (*.f32 (PI.f32) s)))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (fma.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/8 binary32) r)) (PI.f32)) s)))
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (*.f32 (PI.f32) s))))
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) (/.f32 r (pow.f32 s #s(literal 3 binary32)))) #s(literal -7/324 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s))) s))
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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)))
(fma.f32 #s(approx (/ (exp (/ (/ r -3) s)) 6) (-.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/108 binary32) (*.f32 #s(literal 1/18 binary32) r)) s))) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) (/.f32 r (PI.f32))) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)))) s))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) r (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/8 binary32) (/.f32 #s(literal 1/8 binary32) s)) (PI.f32)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/144 binary32) #s(literal -1/24 binary32)) (PI.f32)) s)) s)))
(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/18 binary32) s) s) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal -1/24 binary32) r) s)) (*.f32 s s)) r (/.f32 #s(literal -1/4 binary32) s)) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 1/1296 binary32) (*.f32 #s(literal -1/144 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/24 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 #s(approx (/ (/ r -3) s) (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) (*.f32 (*.f32 (PI.f32) s) r))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) #s(approx (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 (/.f32 r s) (PI.f32))) #s(literal -1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 1/108 binary32))) s) #s(literal -1 binary32) (/.f32 #s(literal 1/18 binary32) (PI.f32))) s) #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 (PI.f32) s) r))
(*.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) (PI.f32)) (*.f32 r s)))
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) r) (*.f32 (PI.f32) s))
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (PI.f32) s)) r)
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (exp.f32 (/.f32 (neg.f32 r) s)))) r) (*.f32 (PI.f32) s))
(*.f32 (/.f32 #s(literal 1/8 binary32) s) (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) (PI.f32)) r))
(/.f32 (/.f32 (*.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) (PI.f32)) #s(literal 1/8 binary32)) s) r)
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) (*.f32 s r))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (PI.f32) (*.f32 s r))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (PI.f32) s)) (/.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32)) (*.f32 (PI.f32) s))) r)
(/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) r)
Outputs
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) r) (*.f32 (PI.f32) s))
Calls

3 calls:

29.0ms
r
26.0ms
s
19.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
99.6%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)))
99.6%1s
99.6%1r
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes78.0ms (0.6%)

Memory
-10.3MiB live, 141.9MiB allocated; 18ms collecting garbage
Counts
88 → 1
Calls
Call 1
Inputs
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (fma.f32 (pow.f32 (/.f32 r s) #s(literal 3 binary32)) #s(literal -7/324 binary32) (/.f32 (/.f32 (*.f32 (*.f32 r r) #s(literal 5/72 binary32)) s) s)))) (*.f32 (*.f32 (PI.f32) s) r))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) #s(approx (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/18 binary32) (*.f32 (PI.f32) s)))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (fma.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/8 binary32) r)) (PI.f32)) s)))
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (*.f32 (PI.f32) s))))
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) (/.f32 r (pow.f32 s #s(literal 3 binary32)))) #s(literal -7/324 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s))) s))
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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)))
(fma.f32 #s(approx (/ (exp (/ (/ r -3) s)) 6) (-.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/108 binary32) (*.f32 #s(literal 1/18 binary32) r)) s))) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) (/.f32 r (PI.f32))) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)))) s))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) r (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/8 binary32) (/.f32 #s(literal 1/8 binary32) s)) (PI.f32)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/144 binary32) #s(literal -1/24 binary32)) (PI.f32)) s)) s)))
(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/18 binary32) s) s) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal -1/24 binary32) r) s)) (*.f32 s s)) r (/.f32 #s(literal -1/4 binary32) s)) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 1/1296 binary32) (*.f32 #s(literal -1/144 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/24 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 #s(approx (/ (/ r -3) s) (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) (*.f32 (*.f32 (PI.f32) s) r))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) #s(approx (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 (/.f32 r s) (PI.f32))) #s(literal -1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 1/108 binary32))) s) #s(literal -1 binary32) (/.f32 #s(literal 1/18 binary32) (PI.f32))) s) #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 (PI.f32) s) r))
(*.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) (PI.f32)) (*.f32 r s)))
Outputs
(*.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) (PI.f32)) (*.f32 r s)))
Calls

3 calls:

27.0ms
r
23.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
21.0ms
s
Results
AccuracySegmentsBranch
99.6%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
99.6%1s
99.6%1r
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes120.0ms (0.9%)

Memory
12.2MiB live, 151.0MiB allocated; 27ms collecting garbage
Counts
87 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 s r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (fma.f32 (/.f32 s r) #s(literal 1/4 binary32) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (*.f32 r (PI.f32))))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (PI.f32)) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/6 binary32) s)) (PI.f32)) (neg.f32 s)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) #s(literal 3/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
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(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/18 binary32) s) s) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal -1/24 binary32) r) s)) (*.f32 s s)) r (/.f32 #s(literal -1/4 binary32) s)) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 1/1296 binary32) (*.f32 #s(literal -1/144 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/24 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 #s(approx (/ (/ r -3) s) (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) (*.f32 (*.f32 (PI.f32) s) r))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) #s(approx (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 (/.f32 r s) (PI.f32))) #s(literal -1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 1/108 binary32))) s) #s(literal -1 binary32) (/.f32 #s(literal 1/18 binary32) (PI.f32))) s) #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 (PI.f32) s) r))
Outputs
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 r s) (PI.f32)))
Calls

3 calls:

49.0ms
s
40.0ms
(+.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)))
27.0ms
r
Results
AccuracySegmentsBranch
99.6%1r
99.6%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
99.6%1s
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes107.0ms (0.8%)

Memory
13.1MiB live, 147.2MiB allocated; 18ms collecting garbage
Counts
85 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 s r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (fma.f32 (/.f32 s r) #s(literal 1/4 binary32) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (*.f32 r (PI.f32))))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (PI.f32)) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/6 binary32) s)) (PI.f32)) (neg.f32 s)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) #s(literal 3/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ r (* -3 s))))) (fma.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 5/72 binary32) r) s)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) r (/.f32 (*.f32 (*.f32 r r) #s(literal 5/72 binary32)) (neg.f32 s))) s))) (*.f32 (*.f32 (PI.f32) s) r))
(+.f32 (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) r) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s)) s)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) (fma.f32 (*.f32 (/.f32 r s) (/.f32 r s)) #s(literal 5/72 binary32) #s(literal 1/4 binary32)))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 r s))) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (*.f32 s s))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 5/72 binary32) (/.f32 (*.f32 #s(literal -7/324 binary32) r) s)) (*.f32 s s)) r (/.f32 #s(literal -1/6 binary32) s)) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) r (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32))) s) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
#s(approx (/ (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (* (* (PI) s) r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 7/324 binary32) (*.f32 #s(literal -5/72 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 #s(literal 7/324 binary32) (*.f32 r (/.f32 r (PI.f32)))) s)) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
#s(approx (/ (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (* s r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 7/324 binary32) (*.f32 r (/.f32 (/.f32 r s) (PI.f32))) (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)))) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
(/.f32 (fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) #s(literal 1 binary32)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(fma.f32 #s(approx (/ (exp (/ (/ r -3) s)) 6) #s(literal 1/6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) #s(approx (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) #s(literal 1/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (PI.f32))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (PI.f32)) s)))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) (/.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) #s(literal 1 binary32)) r) (*.f32 #s(literal 6 binary32) (PI.f32))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) 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)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (fma.f32 (pow.f32 (/.f32 r s) #s(literal 3 binary32)) #s(literal -7/324 binary32) (/.f32 (/.f32 (*.f32 (*.f32 r r) #s(literal 5/72 binary32)) s) s)))) (*.f32 (*.f32 (PI.f32) s) r))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) #s(approx (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/18 binary32) (*.f32 (PI.f32) s)))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (fma.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/8 binary32) r)) (PI.f32)) s)))
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (*.f32 (PI.f32) s))))
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) (/.f32 r (pow.f32 s #s(literal 3 binary32)))) #s(literal -7/324 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s))) s))
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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)))
(fma.f32 #s(approx (/ (exp (/ (/ r -3) s)) 6) (-.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/108 binary32) (*.f32 #s(literal 1/18 binary32) r)) s))) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) (/.f32 r (PI.f32))) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)))) s))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) r (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/8 binary32) (/.f32 #s(literal 1/8 binary32) s)) (PI.f32)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/144 binary32) #s(literal -1/24 binary32)) (PI.f32)) s)) s)))
(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/18 binary32) s) s) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal -1/24 binary32) r) s)) (*.f32 s s)) r (/.f32 #s(literal -1/4 binary32) s)) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 1/1296 binary32) (*.f32 #s(literal -1/144 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/24 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 #s(approx (/ (/ r -3) s) (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) (*.f32 (*.f32 (PI.f32) s) r))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) #s(approx (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 (/.f32 r s) (PI.f32))) #s(literal -1/972 binary32) (*.f32 (/.f32 r (PI.f32)) #s(literal 1/108 binary32))) s) #s(literal -1 binary32) (/.f32 #s(literal 1/18 binary32) (PI.f32))) s) #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
Outputs
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) (*.f32 (*.f32 (PI.f32) s) r))
Calls

3 calls:

44.0ms
r
24.0ms
s
14.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
99.5%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)))
99.5%1s
99.5%1r
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes85.0ms (0.7%)

Memory
-43.1MiB live, 148.6MiB allocated; 30ms collecting garbage
Counts
83 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 s r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
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(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/8 binary32) r)) (PI.f32)) s)))
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (*.f32 (PI.f32) s))))
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) (/.f32 r (pow.f32 s #s(literal 3 binary32)))) #s(literal -7/324 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s))) s))
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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)))
(fma.f32 #s(approx (/ (exp (/ (/ r -3) s)) 6) (-.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/108 binary32) (*.f32 #s(literal 1/18 binary32) r)) s))) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) (/.f32 r (PI.f32))) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)))) s))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) r (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/8 binary32) (/.f32 #s(literal 1/8 binary32) s)) (PI.f32)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/144 binary32) #s(literal -1/24 binary32)) (PI.f32)) s)) s)))
(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/18 binary32) s) s) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal -1/24 binary32) r) s)) (*.f32 s s)) r (/.f32 #s(literal -1/4 binary32) s)) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 1/1296 binary32) (*.f32 #s(literal -1/144 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/24 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 #s(approx (/ (/ r -3) s) (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) (*.f32 (*.f32 (PI.f32) s) r))
Outputs
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 #s(approx (/ (/ r -3) s) (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))))) (*.f32 (*.f32 (PI.f32) s) r))
Calls

3 calls:

24.0ms
r
23.0ms
s
14.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
99.5%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)))
99.5%1s
99.5%1r
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes75.0ms (0.6%)

Memory
20.4MiB live, 118.0MiB allocated; 26ms collecting garbage
Counts
81 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 s r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (fma.f32 (/.f32 s r) #s(literal 1/4 binary32) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (*.f32 r (PI.f32))))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (PI.f32)) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/6 binary32) s)) (PI.f32)) (neg.f32 s)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) #s(literal 3/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ r (* -3 s))))) (fma.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 5/72 binary32) r) s)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) r (/.f32 (*.f32 (*.f32 r r) #s(literal 5/72 binary32)) (neg.f32 s))) s))) (*.f32 (*.f32 (PI.f32) s) r))
(+.f32 (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) r) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s)) s)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) (fma.f32 (*.f32 (/.f32 r s) (/.f32 r s)) #s(literal 5/72 binary32) #s(literal 1/4 binary32)))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 r s))) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32))) s))
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(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 5/72 binary32) (/.f32 (*.f32 #s(literal -7/324 binary32) r) s)) (*.f32 s s)) r (/.f32 #s(literal -1/6 binary32) s)) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) r (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32))) s) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
#s(approx (/ (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (* (* (PI) s) r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 7/324 binary32) (*.f32 #s(literal -5/72 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 #s(literal 7/324 binary32) (*.f32 r (/.f32 r (PI.f32)))) s)) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
#s(approx (/ (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (* s r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 7/324 binary32) (*.f32 r (/.f32 (/.f32 r s) (PI.f32))) (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)))) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
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(/.f32 (fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 (PI.f32) s) r))
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(fma.f32 #s(approx (/ (exp (/ (/ r -3) s)) 6) #s(literal 1/6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) #s(approx (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
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(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (PI.f32))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (PI.f32)) s)))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) (/.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) #s(literal 1 binary32)) r) (*.f32 #s(literal 6 binary32) (PI.f32))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) 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)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (fma.f32 (pow.f32 (/.f32 r s) #s(literal 3 binary32)) #s(literal -7/324 binary32) (/.f32 (/.f32 (*.f32 (*.f32 r r) #s(literal 5/72 binary32)) s) s)))) (*.f32 (*.f32 (PI.f32) s) r))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) #s(approx (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/18 binary32) (*.f32 (PI.f32) s)))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (fma.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/8 binary32) r)) (PI.f32)) s)))
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (*.f32 (PI.f32) s))))
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) (/.f32 r (pow.f32 s #s(literal 3 binary32)))) #s(literal -7/324 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s))) s))
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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)))
(fma.f32 #s(approx (/ (exp (/ (/ r -3) s)) 6) (-.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/108 binary32) (*.f32 #s(literal 1/18 binary32) r)) s))) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) (/.f32 r (PI.f32))) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)))) s))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) r (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/8 binary32) (/.f32 #s(literal 1/8 binary32) s)) (PI.f32)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/144 binary32) #s(literal -1/24 binary32)) (PI.f32)) s)) s)))
(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/18 binary32) s) s) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) (fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal -1/24 binary32) r) s)) (*.f32 s s)) r (/.f32 #s(literal -1/4 binary32) s)) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 1/1296 binary32) (*.f32 #s(literal -1/144 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/24 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r))) (neg.f32 s))))
Outputs
(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/18 binary32) s) s) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
Calls

3 calls:

34.0ms
s
19.0ms
r
18.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
11.0%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
11.0%1s
11.0%1r
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes61.0ms (0.5%)

Memory
29.7MiB live, 117.8MiB allocated; 11ms collecting garbage
Counts
78 → 1
Calls
Call 1
Inputs
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#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (fma.f32 (pow.f32 (/.f32 r s) #s(literal 3 binary32)) #s(literal -7/324 binary32) (/.f32 (/.f32 (*.f32 (*.f32 r r) #s(literal 5/72 binary32)) s) s)))) (*.f32 (*.f32 (PI.f32) s) r))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) #s(approx (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/18 binary32) (*.f32 (PI.f32) s)))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (fma.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/8 binary32) r)) (PI.f32)) s)))
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (*.f32 (PI.f32) s))))
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) (/.f32 r (pow.f32 s #s(literal 3 binary32)))) #s(literal -7/324 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s))) s))
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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)))
(fma.f32 #s(approx (/ (exp (/ (/ r -3) s)) 6) (-.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/108 binary32) (*.f32 #s(literal 1/18 binary32) r)) s))) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) (/.f32 r (PI.f32))) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)))) s))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) r (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/8 binary32) (/.f32 #s(literal 1/8 binary32) s)) (PI.f32)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/144 binary32) #s(literal -1/24 binary32)) (PI.f32)) s)) s)))
(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
Outputs
(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
Calls

3 calls:

22.0ms
s
21.0ms
r
13.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
11.0%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
11.0%1s
11.0%1r
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes89.0ms (0.7%)

Memory
-28.2MiB live, 84.2MiB allocated; 23ms collecting garbage
Counts
77 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 s r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (fma.f32 (/.f32 s r) #s(literal 1/4 binary32) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (*.f32 r (PI.f32))))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (PI.f32)) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/6 binary32) s)) (PI.f32)) (neg.f32 s)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) #s(literal 3/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ r (* -3 s))))) (fma.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 5/72 binary32) r) s)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) r (/.f32 (*.f32 (*.f32 r r) #s(literal 5/72 binary32)) (neg.f32 s))) s))) (*.f32 (*.f32 (PI.f32) s) r))
(+.f32 (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) r) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s)) s)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) (fma.f32 (*.f32 (/.f32 r s) (/.f32 r s)) #s(literal 5/72 binary32) #s(literal 1/4 binary32)))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 r s))) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (*.f32 s s))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 5/72 binary32) (/.f32 (*.f32 #s(literal -7/324 binary32) r) s)) (*.f32 s s)) r (/.f32 #s(literal -1/6 binary32) s)) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) r (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32))) s) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
#s(approx (/ (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (* (* (PI) s) r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 7/324 binary32) (*.f32 #s(literal -5/72 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 #s(literal 7/324 binary32) (*.f32 r (/.f32 r (PI.f32)))) s)) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
#s(approx (/ (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (* s r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 7/324 binary32) (*.f32 r (/.f32 (/.f32 r s) (PI.f32))) (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)))) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
(/.f32 (fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) #s(literal 1 binary32)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(fma.f32 #s(approx (/ (exp (/ (/ r -3) s)) 6) #s(literal 1/6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) #s(approx (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) #s(literal 1/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (PI.f32))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (PI.f32)) s)))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) (/.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) #s(literal 1 binary32)) r) (*.f32 #s(literal 6 binary32) (PI.f32))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) 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)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (fma.f32 (pow.f32 (/.f32 r s) #s(literal 3 binary32)) #s(literal -7/324 binary32) (/.f32 (/.f32 (*.f32 (*.f32 r r) #s(literal 5/72 binary32)) s) s)))) (*.f32 (*.f32 (PI.f32) s) r))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) #s(approx (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/18 binary32) (*.f32 (PI.f32) s)))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (fma.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/8 binary32) r)) (PI.f32)) s)))
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (*.f32 (PI.f32) s))))
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) (/.f32 r (pow.f32 s #s(literal 3 binary32)))) #s(literal -7/324 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s))) s))
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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)))
(fma.f32 #s(approx (/ (exp (/ (/ r -3) s)) 6) (-.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/108 binary32) (*.f32 #s(literal 1/18 binary32) r)) s))) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) (/.f32 r (PI.f32))) #s(literal -7/324 binary32) (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)))) s))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 (fma.f32 (*.f32 #s(literal -7/324 binary32) r) (/.f32 r (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s)) r (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/8 binary32) (/.f32 #s(literal 1/8 binary32) s)) (PI.f32)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 (/.f32 r s) #s(literal 1/144 binary32) #s(literal -1/24 binary32)) (PI.f32)) s)) s)))
Outputs
(fma.f32 #s(approx (/ (exp (/ (/ r -3) s)) 6) (-.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/108 binary32) (*.f32 #s(literal 1/18 binary32) r)) s))) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
Calls

3 calls:

44.0ms
s
19.0ms
r
14.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
10.9%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
10.9%1s
10.9%1r
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes136.0ms (1.1%)

Memory
-20.7MiB live, 120.1MiB allocated; 24ms collecting garbage
Counts
72 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 s r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
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(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/8 binary32) r)) (PI.f32)) s)))
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (*.f32 (PI.f32) s))))
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) (/.f32 r (pow.f32 s #s(literal 3 binary32)))) #s(literal -7/324 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s))) s))
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (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)))
Outputs
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
Calls

3 calls:

67.0ms
(+.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)))
43.0ms
s
23.0ms
r
Results
AccuracySegmentsBranch
10.9%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
10.9%1s
10.9%1r
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes80.0ms (0.6%)

Memory
26.8MiB live, 156.9MiB allocated; 20ms collecting garbage
Counts
69 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 s r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (fma.f32 (/.f32 s r) #s(literal 1/4 binary32) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (*.f32 r (PI.f32))))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (PI.f32)) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/6 binary32) s)) (PI.f32)) (neg.f32 s)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) #s(literal 3/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ r (* -3 s))))) (fma.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 5/72 binary32) r) s)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) r (/.f32 (*.f32 (*.f32 r r) #s(literal 5/72 binary32)) (neg.f32 s))) s))) (*.f32 (*.f32 (PI.f32) s) r))
(+.f32 (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 (/.f32 r s) #s(literal -1/4 binary32) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) r) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s)) s)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) (fma.f32 (*.f32 (/.f32 r s) (/.f32 r s)) #s(literal 5/72 binary32) #s(literal 1/4 binary32)))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (PI.f32)) (*.f32 r s))) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) #s(literal 5/72 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 #s(approx (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (*.f32 s s))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 r s) #s(literal 3/4 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (fma.f32 (/.f32 (+.f32 #s(literal 5/72 binary32) (/.f32 (*.f32 #s(literal -7/324 binary32) r) s)) (*.f32 s s)) r (/.f32 #s(literal -1/6 binary32) s)) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal -1/6 binary32) (PI.f32))) s) r (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 r (*.f32 (*.f32 s s) (PI.f32))) (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s))) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 5/72 binary32) (/.f32 r (PI.f32))) s) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
#s(approx (/ (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (* (* (PI) s) r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal 7/324 binary32) (*.f32 #s(literal -5/72 binary32) r)) (PI.f32)) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)) (/.f32 (*.f32 #s(literal 7/324 binary32) (*.f32 r (/.f32 r (PI.f32)))) s)) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
#s(approx (/ (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (* s r)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 7/324 binary32) (*.f32 r (/.f32 (/.f32 r s) (PI.f32))) (*.f32 #s(literal -5/72 binary32) (/.f32 r (PI.f32)))) (neg.f32 s)) (/.f32 #s(literal 1/6 binary32) (PI.f32))) (neg.f32 s)) (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (neg.f32 s)))
(/.f32 (fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s))))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (fma.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) #s(literal 1 binary32)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(fma.f32 #s(approx (/ (exp (/ (/ r -3) s)) 6) #s(literal 1/6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) #s(approx (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 r (*.f32 #s(literal -3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 (/.f32 #s(approx (* 1/4 (exp (/ (neg r) s))) #s(literal 1/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) r) (*.f32 (PI.f32) s))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 r s)) (PI.f32))) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (fma.f32 #s(literal -1/3 binary32) (/.f32 r s) #s(literal 1 binary32))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(fma.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 r s) #s(literal -3 binary32))) (*.f32 (*.f32 (PI.f32) s) r)) #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) (PI.f32)) s)))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) (/.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) #s(literal 1 binary32)) r) (*.f32 #s(literal 6 binary32) (PI.f32))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 (/.f32 #s(literal 1/8 binary32) r) 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)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) s) (*.f32 (/.f32 r (pow.f32 s #s(literal 3 binary32))) #s(literal 5/72 binary32))) (PI.f32)) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s))) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (fma.f32 (pow.f32 (/.f32 r s) #s(literal 3 binary32)) #s(literal -7/324 binary32) (/.f32 (/.f32 (*.f32 (*.f32 r r) #s(literal 5/72 binary32)) s) s)))) (*.f32 (*.f32 (PI.f32) s) r))
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) #s(approx (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI))) (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/18 binary32) (*.f32 (PI.f32) s)))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (fma.f32 (fma.f32 #s(literal -7/324 binary32) (/.f32 r (*.f32 (pow.f32 s #s(literal 3 binary32)) (PI.f32))) (/.f32 #s(literal 5/72 binary32) (*.f32 (*.f32 s s) (PI.f32)))) r (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r))) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) #s(approx (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r)) (/.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/8 binary32) r)) (PI.f32)) s)))
(fma.f32 (/.f32 (/.f32 #s(literal 3/4 binary32) s) (PI.f32)) (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 r #s(literal 6 binary32))) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 #s(approx (exp (/ (neg r) s)) #s(literal 1 binary32)) (*.f32 (PI.f32) s))))
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (fma.f32 (*.f32 (/.f32 r (PI.f32)) (/.f32 r (pow.f32 s #s(literal 3 binary32)))) #s(literal -7/324 binary32) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) (PI.f32)) s))) s))
Outputs
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) r (/.f32 (*.f32 (*.f32 r r) #s(literal 5/72 binary32)) (neg.f32 s))) s))) (*.f32 (*.f32 (PI.f32) s) r))
Calls

3 calls:

37.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
20.0ms
s
20.0ms
r
Results
AccuracySegmentsBranch
10.3%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
10.3%1r
10.3%1s
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes47.0ms (0.4%)

Memory
-32.9MiB live, 27.3MiB allocated; 12ms collecting garbage
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 s r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (fma.f32 (/.f32 s r) #s(literal 1/4 binary32) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (*.f32 r (PI.f32))))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (PI.f32)) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/6 binary32) s)) (PI.f32)) (neg.f32 s)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) #s(literal 3/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ r (* -3 s))))) (fma.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 5/72 binary32) r) s)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 (/.f32 (/.f32 r s) s) #s(literal -1/6 binary32) (/.f32 #s(literal 1/4 binary32) s)) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
Outputs
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ r (* -3 s))))) (fma.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 5/72 binary32) r) s)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
Calls

3 calls:

32.0ms
r
7.0ms
s
6.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
10.3%1r
10.3%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
10.3%1s
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes20.0ms (0.2%)

Memory
44.1MiB live, 44.1MiB allocated; 0ms collecting garbage
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 s r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (fma.f32 (/.f32 s r) #s(literal 1/4 binary32) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (*.f32 r (PI.f32))))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (PI.f32)) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/6 binary32) s)) (PI.f32)) (neg.f32 s)))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (/.f32 r s) (PI.f32)) (/.f32 #s(literal 1/4 binary32) (PI.f32)))) (*.f32 s r))
(+.f32 #s(approx (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) s)) r)) (/.f32 #s(approx (* 3/4 (exp (/ (neg r) (* 3 s)))) #s(literal 3/4 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Outputs
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
Calls

3 calls:

7.0ms
r
7.0ms
s
5.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
10.3%1s
10.3%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
10.3%1r
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes30.0ms (0.2%)

Memory
3.6MiB live, 45.5MiB allocated; 8ms collecting garbage
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 s r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (fma.f32 (/.f32 s r) #s(literal 1/4 binary32) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (*.f32 r (PI.f32))))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (PI.f32)) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) r) (/.f32 #s(literal 1/6 binary32) s)) (PI.f32)) (neg.f32 s)))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (PI.f32)) r))
Calls

3 calls:

6.0ms
r
6.0ms
s
5.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
9.1%1s
9.1%1r
9.1%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes50.0ms (0.4%)

Memory
-12.4MiB live, 31.2MiB allocated; 8ms collecting garbage
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 s r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (fma.f32 (/.f32 s r) #s(literal 1/4 binary32) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 s s))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (*.f32 r (PI.f32))))
#s(approx (+ (* (/ 3/4 s) (/ (/ (exp (/ (/ r -3) s)) r) (* 6 (PI)))) (* 1/8 (/ (exp (/ (neg r) s)) (* (* (PI) s) r)))) (/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) r)) (/.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) s))) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 r s)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 r s) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 s (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) r)))
#s(approx (+ (* (/ (/ 3/4 s) (PI)) (/ (exp (/ (/ r -3) s)) (* r 6))) (* (/ 1/8 r) (/ (exp (/ (neg r) s)) (* (PI) s)))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) (PI.f32)) s))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) #s(approx (/ (/ (+ (* (/ (/ r s) s) -1/6) (/ 1/4 s)) (PI)) r) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 #s(literal 1/4 binary32) r)) s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(approx (+ (* (/ (+ (* -1/6 (/ (/ 1 s) s)) (* (/ r (pow s 3)) 5/72)) (PI)) r) (/ 1/4 (* (PI) s))) (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) (PI.f32)) s)) r))
Outputs
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
Calls

3 calls:

39.0ms
s
5.0ms
r
4.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
9.1%1r
9.1%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
9.1%1s
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes9.0ms (0.1%)

Memory
19.1MiB live, 19.1MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 s r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
Calls

3 calls:

3.0ms
s
3.0ms
r
2.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
8.8%1r
8.8%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
8.8%1s
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes67.0ms (0.5%)

Memory
-12.0MiB live, 29.7MiB allocated; 8ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 s r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
Calls

3 calls:

3.0ms
r
3.0ms
s
2.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
8.8%1r
8.8%1s
8.8%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes13.0ms (0.1%)

Memory
-38.1MiB live, 23.0MiB allocated; 10ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r (PI.f32)) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) r) (*.f32 (PI.f32) s)))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
(/.f32 #s(approx (+ (* (/ (exp (/ (/ r -3) s)) (PI)) 1/8) (* (/ (exp (/ (neg r) s)) (PI)) 1/8)) (/.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 s r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) r) (PI.f32)))
Outputs
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
Calls

3 calls:

8.0ms
r
2.0ms
s
2.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
8.8%1r
8.8%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
8.8%1s
Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes6.0ms (0%)

Memory
12.5MiB live, 12.5MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

2.0ms
s
2.0ms
r
2.0ms
(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Results
AccuracySegmentsBranch
8.8%1r
8.8%1s
8.8%1(+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) s) r)) (/.f32 (*.f32 #s(literal 3/4 binary32) (exp.f32 (/.f32 (neg.f32 r) (*.f32 #s(literal 3 binary32) s)))) (*.f32 (*.f32 (*.f32 #s(literal 6 binary32) (PI.f32)) s) r)))
Compiler

Compiled 35 to 29 computations (17.1% saved)

simplify55.0ms (0.4%)

Memory
9.3MiB live, 99.5MiB allocated; 8ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0170706
1251688
2534663
31961653
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) (/.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r) (*.f32 #s(literal 6 binary32) (PI.f32))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (*.f32 (PI.f32) s) #s(literal 6 binary32)) r)) #s(literal 3/4 binary32) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))))
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal -3/4 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) (*.f32 #s(literal -6 binary32) (PI.f32)))) (*.f32 r s))
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) r) (*.f32 (PI.f32) s))
(*.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) (PI.f32)) (*.f32 r s)))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 #s(approx (/ (/ r -3) s) (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))))) (*.f32 (*.f32 (PI.f32) s) r))
(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/18 binary32) s) s) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 #s(approx (/ (exp (/ (/ r -3) s)) 6) (-.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/108 binary32) (*.f32 #s(literal 1/18 binary32) r)) s))) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) r (/.f32 (*.f32 (*.f32 r r) #s(literal 5/72 binary32)) (neg.f32 s))) s))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ r (* -3 s))))) (fma.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 5/72 binary32) r) s)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (PI.f32)) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))
Outputs
(fma.f32 (/.f32 #s(literal 3/4 binary32) s) (/.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) r) (*.f32 #s(literal 6 binary32) (PI.f32))) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (*.f32 (*.f32 (*.f32 (PI.f32) s) #s(literal 6 binary32)) r)) #s(literal 3/4 binary32) (*.f32 (/.f32 #s(literal 1/8 binary32) r) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (PI.f32) s))))
(/.f32 (fma.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal -3/4 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) (*.f32 #s(literal -6 binary32) (PI.f32)))) (*.f32 r s))
(/.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) r) (*.f32 (PI.f32) s))
(*.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s))) (PI.f32)) (*.f32 r s)))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)))) (*.f32 (*.f32 r s) (PI.f32)))
(/.f32 (*.f32 #s(literal 1/8 binary32) (+.f32 (exp.f32 (/.f32 (/.f32 r #s(literal -3 binary32)) s)) (exp.f32 (/.f32 (neg.f32 r) s)))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 r) s)) #s(literal 1/8 binary32) (*.f32 #s(literal 1/8 binary32) (exp.f32 #s(approx (/ (/ r -3) s) (*.f32 #s(literal -1/3 binary32) (/.f32 r s)))))) (*.f32 (*.f32 (PI.f32) s) r))
(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1/18 binary32) s) s) r (/.f32 #s(literal -1/3 binary32) s)) r #s(literal 1 binary32))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) #s(literal 6 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(fma.f32 #s(approx (/ (exp (/ (/ r -3) s)) 6) (-.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 (*.f32 r (/.f32 r s)) #s(literal -1/108 binary32) (*.f32 #s(literal 1/18 binary32) r)) s))) (/.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 (PI.f32) s) r)) (*.f32 #s(literal 1/8 binary32) (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (*.f32 (*.f32 (PI.f32) s) r))))
(/.f32 (fma.f32 (/.f32 #s(approx (exp (/ (/ r -3) s)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/3 binary32) r (*.f32 (*.f32 r (/.f32 r s)) #s(literal -1/18 binary32))) s))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (PI.f32)) #s(literal 1/8 binary32))) (*.f32 s r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) r (/.f32 (*.f32 (*.f32 r r) #s(literal 5/72 binary32)) (neg.f32 s))) s))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ r (* -3 s))))) (fma.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 5/72 binary32) r) s)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 5/72 binary32) r) s)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 (/.f32 (fma.f32 #s(literal 5/72 binary32) (/.f32 r s) #s(literal -1/6 binary32)) s) r #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32)) s) (PI.f32)) r))
(/.f32 #s(approx (+ (* (exp (/ (neg r) s)) 1/8) (* 1/8 (exp (/ (/ r -3) s)))) (fma.f32 #s(literal -1/6 binary32) (/.f32 r s) #s(literal 1/4 binary32))) (*.f32 (*.f32 (PI.f32) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (PI.f32)) s) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) s) (PI.f32)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) s)) r))
#s(approx (+ (/ (* 1/4 (exp (/ (neg r) s))) (* (* (* 2 (PI)) s) r)) (/ (* 3/4 (exp (/ (neg r) (* 3 s)))) (* (* (* 6 (PI)) s) r))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 r s) (PI.f32))))

derivations1.8s (13.7%)

Memory
-18.9MiB live, 1 918.1MiB allocated; 269ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073358
0118360
1360305
22760305
08425300
06022341
120052179
270302156
082352031
066347
0107340
1340310
22733310
08150306
04651659
115221542
253821470
089351392
04871720
116021626
254831542
087331454
02597
04397
112984
2101682
0808281
0289977
1937922
23097881
08263832
075376
0121380
1415329
23425325
08088325
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 706 to 170 computations (75.9% saved)

preprocess192.0ms (1.5%)

Memory
-0.5MiB live, 183.3MiB allocated; 30ms collecting garbage
Compiler

Compiled 1 478 to 390 computations (73.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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