Diagrams.TwoD.Layout.CirclePacking:approxRadius from diagrams-contrib-1.3.0.5

Time bar (total: 6.0s)

start0.0ms (0%)

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

analyze214.0ms (3.6%)

Memory
8.7MiB live, 344.1MiB allocated; 83ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
15.6%15.6%84.3%0.1%0%0%0%8
28.1%28.1%71.8%0.1%0%0%0%9
30.5%30.4%69.5%0.1%0%0%0%10
38.3%38.2%61.7%0.1%0%0%0%11
39.6%39.6%60.3%0.1%0%0%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.6s (27.1%)

Memory
29.2MiB live, 1 837.7MiB allocated; 457ms collecting garbage
Samples
818.0ms4 043×1valid
387.0ms4 213×0valid
Precisions
Click to see histograms. Total time spent on operations: 879.0ms
ival-div: 242.0ms (27.5% of total)
ival-tan: 219.0ms (24.9% of total)
ival-sin: 212.0ms (24.1% of total)
adjust: 118.0ms (13.4% of total)
ival-mult: 77.0ms (8.8% of total)
exact: 7.0ms (0.8% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain153.0ms (2.5%)

Memory
-6.9MiB live, 239.4MiB allocated; 41ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1370-0-(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
1370-0-(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
350-0-(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
00-0-y
00-0-#s(literal 2 binary64)
00-0-(/.f64 x (*.f64 y #s(literal 2 binary64)))
00-0-x
00-0-(*.f64 y #s(literal 2 binary64))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sin.f64(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))sensitivity961
tan.f64(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))sensitivity961
sin.f64(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))oflow-rescue410
(/.f64 x (*.f64 y #s(literal 2 binary64)))overflow41
tan.f64(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))oflow-rescue410
(/.f64 x (*.f64 y #s(literal 2 binary64)))overflow41
/.f64(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))u/u350
(/.f64 x (*.f64 y #s(literal 2 binary64)))underflow35
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))underflow35
(/.f64 x (*.f64 y #s(literal 2 binary64)))underflow35
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))underflow35
Confusion
Predicted +Predicted -
+1720
-084
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+17200
-0183
Precision?
0.9942196531791907
Recall?
1.0
Freqs
test
numberfreq
084
135
2137
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
52.0ms272×1valid
18.0ms240×0valid
Compiler

Compiled 89 to 28 computations (68.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-sin: 13.0ms (27.6% of total)
ival-tan: 12.0ms (25.5% of total)
ival-div: 10.0ms (21.2% of total)
ival-mult: 6.0ms (12.7% of total)
adjust: 5.0ms (10.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess194.0ms (3.2%)

Memory
28.2MiB live, 165.7MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02684
15880
214878
332378
476578
5300378
0813
01313
12113
24013
37813
415913
551413
6379613
0906913
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Outputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))) (PI.f64)) (PI.f64)) (PI.f64))) (sin.f64 (fma.f64 (/.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64)) #s(literal 2 binary64) (PI.f64))))
Symmetry

(abs x)

(abs y)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
37.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Compiler

Compiled 13 to 8 computations (38.5% saved)

series64.0ms (1.1%)

Memory
-19.9MiB live, 26.6MiB allocated; 4ms collecting garbage
Counts
8 → 37
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
Calls

6 calls:

TimeVariablePointExpression
47.0ms
x
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
6.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
4.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
3.0ms
x
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
2.0ms
x
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))

rewrite170.0ms (2.8%)

Memory
27.3MiB live, 211.1MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03632187
03711940
123201930
080931830
Stop Event
iter limit
node limit
iter limit
Counts
45 → 57
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
Outputs
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64)))))
(/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))))
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(tan.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))
(tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) y)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
x
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(+.f64 y y)
y
#s(literal 2 binary64)
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 2 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64))) (*.f64 (*.f64 y y) #s(literal 2 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (pow.f64 (*.f64 y y) #s(literal -1 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 5/384 binary64) (*.f64 x x)) (pow.f64 (*.f64 y y) #s(literal 2 binary64)))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 5/384 binary64) (/.f64 (*.f64 #s(literal 61/46080 binary64) (*.f64 x x)) (pow.f64 (*.f64 y y) #s(literal 3 binary64)))) (*.f64 x x) (*.f64 (pow.f64 (*.f64 y y) #s(literal -1 binary64)) #s(literal 1/8 binary64))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (tan (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) y)) x (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (tan (/ x (* y 2))) (fma.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (pow.f64 (*.f64 y y) #s(literal 5/2 binary64)))) (*.f64 x x)) x (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (tan (/ x (* y 2))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 (pow.f64 (*.f64 y y) #s(literal 5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/240 binary64) (/.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) (pow.f64 (*.f64 y y) #s(literal 7/2 binary64)))) (*.f64 x x) (*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x)) x (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (/ x (* y 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx x x)
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (sin (/ x (* y 2))) (fma.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) y)) x (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (sin (/ x (* y 2))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3840 binary64) (/.f64 (*.f64 x x) (pow.f64 (*.f64 y y) #s(literal 5/2 binary64))) (*.f64 #s(literal -1/48 binary64) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 x x)) x (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (sin (/ x (* y 2))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (/.f64 (*.f64 x x) (pow.f64 (*.f64 y y) #s(literal 7/2 binary64))) (*.f64 #s(literal 1/3840 binary64) (pow.f64 (pow.f64 (*.f64 y y) #s(literal 5/2 binary64)) #s(literal -1 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/48 binary64) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 x x)) x (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
#s(approx (tan (/ x (* y 2))) (tan.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (* y 2) (*.f64 #s(literal 2 binary64) y))
#s(approx y y)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 y y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))))) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (pow.f64 (*.f64 y y) #s(literal 2 binary64))) #s(literal -1/24 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/1920 binary64)) (*.f64 y y) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) (*.f64 y y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 7/2 binary64)) #s(literal -1/645120 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))))) (fma.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/92160 binary64) (pow.f64 (*.f64 x x) #s(literal 7/2 binary64)))))) (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) x)) #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))))) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (pow.f64 (*.f64 y y) #s(literal 2 binary64))) #s(literal -1/24 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/24 binary64)) (*.f64 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binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))))) (fma.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 #s(literal 1/92160 binary64) (pow.f64 (*.f64 x x) #s(literal 7/2 binary64)))))) (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) x)) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64))) (*.f64 (*.f64 y y) x))))) (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))))) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) x)) #s(literal -2 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/645120 binary64) (pow.f64 (*.f64 x x) #s(literal 7/2 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))))) (fma.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 #s(literal 1/92160 binary64) (pow.f64 (*.f64 x x) #s(literal 7/2 binary64)))))) (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) x)) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64))) (*.f64 (*.f64 y y) x))))))) (pow.f64 (*.f64 y y) #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (pow.f64 (*.f64 y y) #s(literal 2 binary64))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 2 binary64)) (pow.f64 (*.f64 y y) #s(literal 3 binary64))) #s(literal -1/322560 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 (*.f64 x x) #s(literal 2 binary64))) (pow.f64 (*.f64 y y) #s(literal 3 binary64))) #s(literal 1/1920 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/1920 binary64)) (pow.f64 (*.f64 y y) #s(literal 2 binary64)))))))))
#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y y) #s(literal 2 binary64)))) (*.f64 y y) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) (*.f64 y y))) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) x)))) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) (*.f64 y y))) (*.f64 y y))) y) #s(literal -1 binary64)))
#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 (-.f64 (-.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) (pow.f64 (*.f64 y y) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) (*.f64 y y))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64))) (pow.f64 (*.f64 y y) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/768 binary64) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) (*.f64 y y) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) x)))) (*.f64 (pow.f64 (*.f64 y y) #s(literal 2 binary64)) (*.f64 y y)))) y) #s(literal -1 binary64)))
#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 (-.f64 (-.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) (pow.f64 (*.f64 y y) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/645120 binary64) (pow.f64 (*.f64 x x) #s(literal 7/2 binary64))) (*.f64 y y) (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)))) (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 y y)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)))))) (pow.f64 (*.f64 y y) #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 x x)) (pow.f64 (*.f64 y y) #s(literal 2 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 (*.f64 x x) #s(literal 5/2 binary64)) (pow.f64 (*.f64 y y) #s(literal 2 binary64))) (fma.f64 #s(literal 1/92160 binary64) (/.f64 (pow.f64 (*.f64 x x) #s(literal 7/2 binary64)) (pow.f64 (*.f64 y y) #s(literal 3 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (*.f64 x x) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64))) (*.f64 y y) (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) x)))) (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 y y))))))) y) #s(literal -1 binary64)))
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y) #s(literal -1 binary64)))
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) (pow.f64 (*.f64 y y) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)) (*.f64 y y))) y) #s(literal -1 binary64)))
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 (*.f64 x x) #s(literal 5/2 binary64))) (pow.f64 (*.f64 y y) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/645120 binary64) (pow.f64 (*.f64 x x) #s(literal 7/2 binary64))) (*.f64 y y) (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/48 binary64)))) (*.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) (*.f64 y y)))) y) #s(literal -1 binary64)))

eval12.0ms (0.2%)

Memory
-28.2MiB live, 18.2MiB allocated; 3ms collecting garbage
Compiler

Compiled 4 139 to 475 computations (88.5% saved)

prune14.0ms (0.2%)

Memory
20.8MiB live, 20.8MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New63770
Fresh000
Picked101
Done000
Total64771
Accuracy
57.7%
Counts
71 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.5%
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.0%
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
37.9%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.7%
(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.9%
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
52.7%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 294 to 192 computations (34.7% saved)

series138.0ms (2.3%)

Memory
-33.6MiB live, 118.5MiB allocated; 40ms collecting garbage
Counts
30 → 208
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
x
y
#s(literal 2 binary64)
(cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))))
(cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(sin.f64 (/.f64 x y))
(+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) #s(hole binary64 (* -1/2 (/ x (* y (cos (* 1/2 (PI))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) #s(hole binary64 (* x (- (* -1/4 (/ (* x (sin (* 1/2 (PI)))) (* (pow y 2) (pow (cos (* 1/2 (PI))) 2)))) (* 1/2 (/ 1 (* y (cos (* 1/2 (PI))))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) #s(hole binary64 (* x (- (* x (+ (* -1 (* x (- (* 5/48 (/ 1 (* (pow y 3) (cos (* 1/2 (PI)))))) (* -1/8 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (cos (* 1/2 (PI))) 3))))))) (* -1/4 (/ (sin (* 1/2 (PI))) (* (pow y 2) (pow (cos (* 1/2 (PI))) 2)))))) (* 1/2 (/ 1 (* y (cos (* 1/2 (PI))))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) #s(hole binary64 (* x (- (* x (+ (* -1/4 (/ (sin (* 1/2 (PI))) (* (pow y 2) (pow (cos (* 1/2 (PI))) 2)))) (* x (+ (* -1 (- (* 5/48 (/ 1 (* (pow y 3) (cos (* 1/2 (PI)))))) (* -1/8 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (cos (* 1/2 (PI))) 3)))))) (* x (+ (* -1/2 (/ (* (sin (* 1/2 (PI))) (- (* 5/48 (/ 1 (* (pow y 3) (cos (* 1/2 (PI)))))) (* -1/8 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (cos (* 1/2 (PI))) 3)))))) (* y (cos (* 1/2 (PI)))))) (+ (* -1/32 (/ (sin (* 1/2 (PI))) (* (pow y 4) (pow (cos (* 1/2 (PI))) 2)))) (* 1/96 (/ (sin (* 1/2 (PI))) (* (pow y 4) (pow (cos (* 1/2 (PI))) 2))))))))))) (* 1/2 (/ 1 (* y (cos (* 1/2 (PI))))))))))
#s(approx (neg (tan (/ (/ x y) 2))) #s(hole binary64 (* -1/2 (/ x y))))
#s(approx (neg (tan (/ (/ x y) 2))) #s(hole binary64 (* x (- (* -1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (neg (tan (/ (/ x y) 2))) #s(hole binary64 (* x (- (* (pow x 2) (- (* -1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (neg (tan (/ (/ x y) 2))) #s(hole binary64 (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ (/ x y) 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ (/ x y) 2)) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ (/ x y) 2)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ (/ x y) 2)) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))))
#s(approx (/ (/ x y) 2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (cos (+ (/ (/ x y) 2) (/ (PI) 2))) #s(hole binary64 (cos (* 1/2 (PI)))))
#s(approx (cos (+ (/ (/ x y) 2) (/ (PI) 2))) #s(hole binary64 (+ (cos (* 1/2 (PI))) (* -1/2 (/ (* x (sin (* 1/2 (PI)))) y)))))
#s(approx (cos (+ (/ (/ x y) 2) (/ (PI) 2))) #s(hole binary64 (+ (cos (* 1/2 (PI))) (* x (- (* -1/8 (/ (* x (cos (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (sin (* 1/2 (PI))) y)))))))
#s(approx (cos (+ (/ (/ x y) 2) (/ (PI) 2))) #s(hole binary64 (+ (cos (* 1/2 (PI))) (* x (- (* x (+ (* -1/8 (/ (cos (* 1/2 (PI))) (pow y 2))) (* 1/48 (/ (* x (sin (* 1/2 (PI)))) (pow y 3))))) (* 1/2 (/ (sin (* 1/2 (PI))) y)))))))
#s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))
#s(approx (/ (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* y (cos (* 1/2 (PI)))) (* x (cos (PI)))))))
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Calls

6 calls:

TimeVariablePointExpression
66.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (neg (tan (/ (/ x y) 2))) (tan (/ (/ x y) 2)) (/ (/ x y) 2) (/ x y) x y 2 (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (+ (/ (/ x y) 2) (/ (PI) 2)) (/ (PI) 2) (PI) (/ (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (cos (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)) (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2))))
21.0ms
y
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20.0ms
x
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((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (neg (tan (/ (/ x y) 2))) (tan (/ (/ x y) 2)) (/ (/ x y) 2) (/ x y) x y 2 (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (+ (/ (/ x y) 2) (/ (PI) 2)) (/ (PI) 2) (PI) (/ (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (cos (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)) (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2))))
7.0ms
x
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7.0ms
x
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((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (neg (tan (/ (/ x y) 2))) (tan (/ (/ x y) 2)) (/ (/ x y) 2) (/ x y) x y 2 (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (+ (/ (/ x y) 2) (/ (PI) 2)) (/ (PI) 2) (PI) (/ (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (cos (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x y)) (+ 1 (cos (/ x y))) (cos (/ x y)) (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2))))

rewrite252.0ms (4.2%)

Memory
53.2MiB live, 327.2MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0174513458
0179812045
0819711615
Stop Event
iter limit
node limit
iter limit
Counts
238 → 296
Calls
Call 1
Inputs
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(/.f64 x y)
x
y
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#s(approx (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (/ (/ x y) 2) (PI)))) #s(hole binary64 (+ (* -1 (/ (- (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (cos (PI)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))) y)) (/ (cos (* 1/2 (PI))) (cos (PI))))))
#s(approx (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (/ (/ x y) 2) (PI)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (cos (PI)))) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (cos (PI)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))))) (* y (cos (PI)))))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))) y)) (/ (cos (* 1/2 (PI))) (cos (PI))))))
#s(approx (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (/ (/ x y) 2) (PI)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* -1/48 (/ (* (pow x 3) (sin (* 1/2 (PI)))) (cos (PI)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (cos (PI)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (cos (PI)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))))) y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (cos (PI)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))))) (cos (PI))))) y)) (* 1/2 (/ (* x (sin (* 1/2 (PI)))) (cos (PI))))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (sin (PI)))) (pow (cos (PI)) 2)))) y)) (/ (cos (* 1/2 (PI))) (cos (PI))))))
#s(approx (cos (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* -1/2 (* x (sin (PI))))) y)))))
#s(approx (cos (+ (/ (/ x y) 2) (PI))) #s(hole binary64 (+ (cos (PI)) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (PI)))) (* 1/48 (/ (* (pow x 3) (sin (PI))) y))) y)) (* -1/2 (* x (sin (PI))))) y)))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1/6 (/ (pow x 2) (pow y 2)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (* 1/120 (/ (pow x 4) (pow y 4))))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2)))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/6 (/ (pow x 2) (pow y 2))) (+ (* -1/5040 (/ (pow x 6) (pow y 6))) (* 1/120 (/ (pow x 4) (pow y 4)))))) (+ (* -1 (/ (* (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 6)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) (* x (pow y 4)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/120 (pow x 4)) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/6 (pow x 2)) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) x)))) x)) (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) x))))) (* x (pow y 6)))) (+ (* -1 (/ (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (* x (pow y 4)))) (+ (* -1 (/ (+ (* 1/322560 (pow x 7)) (+ (* 1/7680 (pow x 7)) (+ (* 1/1440 (pow x 7)) (* 1/1152 (pow x 7))))) (* x (pow y 6)))) (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (* x (pow y 2))))))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/12 (/ (pow x 3) (pow y 2)))) (* 1/8 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2))))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (* 1/8 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2)))))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/240 (pow x 5)) (+ (* -1/4 (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3))))) (* -1/96 (pow x 5))))) (pow y 6))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (+ (* 1/2880 (/ (pow x 7) (pow y 6))) (+ (* 1/48 (/ (* (pow x 4) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 6))) (* 1/8 (/ (pow x 3) (pow y 2))))))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x y)) #s(hole binary64 (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* y (pow (sin (* 1/2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (* 1/2 (PI))))))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))))) (* y (sin (* 1/2 (PI)))))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI))))))) y)) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (/ x (sin (* 1/2 (PI))))) (* 1/4 (/ (* (pow x 2) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2))))) y))))
#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/48 (/ (pow x 3) (sin (* 1/2 (PI))))) (+ (* 1/16 (/ (pow x 3) (sin (* 1/2 (PI))))) (* 1/8 (/ (* (pow x 3) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))))) y)) (* 1/4 (/ (* (pow x 2) (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (* -1/2 (/ x (sin (* 1/2 (PI)))))) y))))
#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (cos (* 1/2 (PI))) (- (* 1/48 (/ (pow x 3) (sin (* 1/2 (PI))))) (+ (* 1/16 (/ (pow x 3) (sin (* 1/2 (PI))))) (* 1/8 (/ (* (pow x 3) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/96 (/ (* (pow x 4) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/48 (/ (pow x 3) (sin (* 1/2 (PI))))) (* 1/32 (/ (* (pow x 4) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2))))))) (+ (* 1/16 (/ (pow x 3) (sin (* 1/2 (PI))))) (* 1/8 (/ (* (pow x 3) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))))) y)) (* 1/4 (/ (* (pow x 2) (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (* -1/2 (/ x (sin (* 1/2 (PI)))))) y))))
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (sin (+ (/ (/ x y) 2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1/2 (* x (cos (* 1/2 (PI))))) (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y))) y)))))
#s(approx (sin (+ (/ (/ x y) 2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (* 1/2 (PI))))) (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* -1/2 (* x (cos (* 1/2 (PI)))))) y)))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
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(neg.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))))
(tan.f64 (neg.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sin.f64 (/.f64 x y))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))))
(/.f64 (neg.f64 (sin.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))))))
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(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(/.f64 (sin.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))))
(tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))
(tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -2 binary64))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
x
y
#s(literal 2 binary64)
(neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
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(-.f64 (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
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(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
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(/.f64 (neg.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
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(*.f64 y #s(literal 2 binary64))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (neg.f64 (sin.f64 (/.f64 x y))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))))
(/.f64 (neg.f64 (sin.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(/.f64 (sin.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))))
(tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))
(tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(sin.f64 (/.f64 x y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y))) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))))
(+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (neg.f64 (sin.f64 (/.f64 x y))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))))
(/.f64 (neg.f64 (sin.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(/.f64 (sin.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))))
(tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))
(tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))
(cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(+.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5/384 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y y) #s(literal -1 binary64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 61/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 5/384 binary64) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y y) #s(literal -1 binary64)))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 x (*.f64 y y)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 y (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 5/48 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 y y) y) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 y y) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 y (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 y y) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (*.f64 x (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 5/48 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 y y) y) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y) (/.f64 (-.f64 (*.f64 #s(literal 5/48 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 y y) y) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/96 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))))))))))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 y (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64))))))
#s(approx (neg (tan (/ (/ x y) 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
#s(approx (neg (tan (/ (/ x y) 2))) (*.f64 x (-.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))))))
#s(approx (neg (tan (/ (/ x y) 2))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 (*.f64 y y) y) #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))))))
#s(approx (neg (tan (/ (/ x y) 2))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -17/40320 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64)))) (*.f64 #s(literal 1/240 binary64) (pow.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal -1 binary64))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 (*.f64 y y) y) #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))))))
#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))))))
#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/240 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 (*.f64 y y) y) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))))))
#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 17/40320 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (*.f64 #s(literal 1/240 binary64) (pow.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 (*.f64 y y) y) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))))))
#s(approx (/ (/ x y) 2) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
#s(approx (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))))
#s(approx (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 y y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y))))))
#s(approx (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 y y)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (*.f64 y y) y))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y))))))
#s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 0 binary64)) #s(literal 1 binary64)))))) x))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64)) (*.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 y #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 0 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 y y) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)) (*.f64 #s(literal -1/48 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)))))) #s(literal 1 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 0 binary64)) #s(literal 1 binary64)))))) x))
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#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 y (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
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#s(approx (sin (/ (/ x y) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (sin (/ (/ x y) 2)) (*.f64 x (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))))))
#s(approx (sin (/ (/ x y) 2)) (*.f64 x (fma.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3840 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal 1/48 binary64) (pow.f64 (*.f64 (*.f64 y y) y) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))))))
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#s(approx (sin (+ (/ (/ x y) 2) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (/ (/ x y) 2) (/ (PI) 2))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) y))))
#s(approx (sin (+ (/ (/ x y) 2) (/ (PI) 2))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) y))))))
#s(approx (sin (+ (/ (/ x y) 2) (/ (PI) 2))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) y) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 y y)) (*.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (*.f64 y y) y)))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
#s(approx (neg (tan (/ (/ x y) 2))) (*.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
#s(approx (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))))))
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#s(approx (sin (/ x y)) (sin.f64 (/.f64 x y)))
#s(approx (+ 1 (cos (/ x y))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
#s(approx (cos (/ x y)) (cos.f64 (/.f64 x y)))
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#s(approx (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (sin.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
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#s(approx (sin (+ (/ (/ x y) 2) (/ (PI) 2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
#s(approx y y)
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#s(approx (+ (/ (/ x y) 2) (PI)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y (PI.f64))) y))
#s(approx (* y 2) (*.f64 #s(literal 2 binary64) y))
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#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) y))
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#s(approx (neg (tan (/ (/ x y) 2))) (/.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y))) (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x))) y))
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#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)))) y)))
#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -1/96 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)))))) y)))
#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/240 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/10080 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)))) (*.f64 #s(literal -1/96 binary64) (pow.f64 x #s(literal 5 binary64)))))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -1/96 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/2880 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x)))) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y))))))))) y)))
#s(approx (sin (/ x y)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)))) y)))
#s(approx (sin (/ x y)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y))))) y)))
#s(approx (sin (/ x y)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/5040 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)))))) y)))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) y) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) y) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (fma.f64 #s(literal 1/48 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) y) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) y) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))))
#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) y)))
#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) y)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 x x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) y) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) y)))
#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (+.f64 (*.f64 #s(literal -1/96 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) y)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 x x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) y) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) y)))
#s(approx (sin (/ (/ x y) 2)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)))) y)))
#s(approx (sin (/ (/ x y) 2)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y))))) y)))
#s(approx (sin (/ (/ x y) 2)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)))))) y)))
#s(approx (sin (+ (/ (/ x y) 2) (/ (PI) 2))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))) y))))
#s(approx (sin (+ (/ (/ x y) 2) (/ (PI) 2))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) y))) y) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) y))))

eval88.0ms (1.5%)

Memory
-15.6MiB live, 128.3MiB allocated; 29ms collecting garbage
Compiler

Compiled 22 663 to 2 220 computations (90.2% saved)

prune102.0ms (1.7%)

Memory
-27.4MiB live, 113.8MiB allocated; 39ms collecting garbage
Pruning

30 alts after pruning (28 fresh and 2 done)

PrunedKeptTotal
New40326429
Fresh022
Picked325
Done000
Total40630436
Accuracy
58.5%
Counts
436 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.9%
(/.f64 (/.f64 (-.f64 (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.5%
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
36.3%
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
37.9%
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 #s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
37.9%
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(approx y y))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
5.8%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
37.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.5%
(/.f64 (/.f64 (sin.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.2%
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.1%
(/.f64 (/.f64 (cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.5%
(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.1%
(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.1%
(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.9%
(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.9%
(/.f64 (/.f64 (cos.f64 #s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))))))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.6%
(/.f64 (neg.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
7.5%
(/.f64 (neg.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
14.4%
(/.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
7.3%
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
4.7%
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
6.9%
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
6.8%
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 #s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))))))))
48.0%
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))))
6.7%
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
1.0%
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 y #s(literal -1 binary64)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 x (*.f64 y y)) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 x #s(literal -1 binary64)))))) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) y) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 0 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64)))) (*.f64 (*.f64 y y) #s(literal 1 binary64))))))))))
2.3%
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))))
52.7%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
7.4%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
7.6%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
Compiler

Compiled 2 305 to 1 314 computations (43% saved)

series155.0ms (2.6%)

Memory
23.8MiB live, 160.8MiB allocated; 57ms collecting garbage
Counts
60 → 319
Calls
Call 1
Inputs
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))
#s(literal -1/2 binary64)
(*.f64 (/.f64 x y) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 x y)
x
y
(/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(PI.f64)
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
(neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(+.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (PI.f64))))
(cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(cos.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (PI.f64)))
#s(approx (+ (/ (/ x y) 2) (PI)) (PI.f64))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(/.f64 (/.f64 (sin.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))))
(sin.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))
(+.f64 (/.f64 x y) (PI.f64))
(cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))
Outputs
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
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Calls

6 calls:

TimeVariablePointExpression
39.0ms
y
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28.0ms
y
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25.0ms
y
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16.0ms
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16.0ms
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rewrite248.0ms (4.1%)

Memory
3.0MiB live, 276.0MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0230123508
0241519416
0872618817
Stop Event
iter limit
node limit
iter limit
Counts
379 → 503
Calls
Call 1
Inputs
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Outputs
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(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64)))
#s(literal -1 binary64)
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) #s(literal 2 binary64))
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(sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(cos.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
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(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
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(/.f64 (neg.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))
(neg.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))))
(tan.f64 (neg.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))))
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))
(tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -2 binary64))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(fma.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (/.f64 (+.f64 (+.f64 (/.f64 x y) (PI.f64)) (PI.f64)) #s(literal 2 binary64)))
(-.f64 (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 4 binary64))))
(cos.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 4 binary64)))
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(/.f64 (neg.f64 (+.f64 (/.f64 x y) (PI.f64))) #s(literal -2 binary64))
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(/.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 4 binary64))
(/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
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(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 4 binary64)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))) (-.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))))
(fma.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))
(+.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)))
#s(literal 3 binary64)
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 8 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
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(fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(+.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
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(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
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(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 x y) (PI.f64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (PI.f64))))) (neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (cos.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (PI.f64))))
(neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
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(sin.f64 (/.f64 (+.f64 (+.f64 (/.f64 x y) (PI.f64)) (PI.f64)) #s(literal 2 binary64)))
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(/.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 4 binary64))
(/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))
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(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
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(cos.f64 (neg.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (PI.f64))))
(cos.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (PI.f64)))
#s(approx (+ (/ (/ x y) 2) (PI)) (PI.f64))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(/.f64 (neg.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
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(tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))
(tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
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(sin.f64 (/.f64 (+.f64 (+.f64 (/.f64 x y) (PI.f64)) (PI.f64)) #s(literal 2 binary64)))
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(/.f64 (+.f64 (+.f64 (/.f64 x y) (PI.f64)) (PI.f64)) #s(literal 2 binary64))
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(/.f64 (neg.f64 (+.f64 (/.f64 x y) (PI.f64))) #s(literal -2 binary64))
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(/.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 4 binary64))
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(+.f64 (/.f64 x y) (PI.f64))
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(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))
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#s(approx (+ (* -1/2 (* (/ x y) (/ (sin (+ (* 1/2 (PI)) (/ (PI) 2))) (* (sin (* 1/2 (PI))) (sin (* 1/2 (PI))))))) (pow (sin (* 1/2 (PI))) -1)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))
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#s(approx (* (/ x y) (/ (sin (+ (* 1/2 (PI)) (/ (PI) 2))) (* (sin (* 1/2 (PI))) (sin (* 1/2 (PI)))))) (*.f64 (/.f64 x y) (/.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 y (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
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#s(approx (* (sin (+ (* 1/2 (/ x y)) (/ (PI) 2))) (cos (+ (* 1/2 (PI)) (* 1/2 (/ x y))))) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 y y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) y)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
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#s(approx (sin (+ (* 1/2 (/ x y)) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (* 1/2 (/ x y)) (/ (PI) 2))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) y))))
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#s(approx (+ (* 1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
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#s(approx (cos (+ (* 1/2 (PI)) (* 1/2 (/ x y)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (cos (+ (* 1/2 (PI)) (* 1/2 (/ x y)))) (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))))
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#s(approx (+ (* 1/2 (PI)) (* 1/2 (/ x y))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* 1/2 (PI)) (* 1/2 (/ x y))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
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#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 x (*.f64 y y)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 y (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal -1 binary64))))))
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#s(approx (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/240 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 (*.f64 y y) y) #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))))))
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#s(approx (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))
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#s(approx y y)
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#s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) y) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) y)))
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#s(approx (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 1 binary64)))))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 1 binary64))))) (*.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 0 binary64)) #s(literal 1 binary64)))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 1 binary64)))))) #s(literal -1 binary64)))) y) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 1 binary64)))) y) #s(literal 0 binary64)))
#s(approx (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) y))) y))))
#s(approx (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64)) (*.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) y))) y) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1 binary64)))) y))))

eval1.1s (19%)

Memory
-246.1MiB live, 206.6MiB allocated; 1.6s collecting garbage
Compiler

Compiled 46 375 to 3 510 computations (92.4% saved)

prune169.0ms (2.8%)

Memory
21.5MiB live, 122.0MiB allocated; 9ms collecting garbage
Pruning

34 alts after pruning (31 fresh and 3 done)

PrunedKeptTotal
New60618624
Fresh101323
Picked415
Done022
Total62034654
Accuracy
58.7%
Counts
654 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.9%
(/.f64 (/.f64 (-.f64 (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.5%
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
36.3%
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
37.9%
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 #s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
37.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.1%
(/.f64 (/.f64 (sin.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 x y) (PI.f64))))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.3%
(/.f64 (/.f64 (sin.f64 (+.f64 (/.f64 #s(approx (+ (/ x y) (PI)) (*.f64 x (/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 y (PI.f64))) (*.f64 y x)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.5%
(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.1%
(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.9%
(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
5.7%
(/.f64 (/.f64 #s(approx (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (sin.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.5%
(/.f64 (neg.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
14.4%
(/.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
4.8%
(/.f64 (neg.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))))) (cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
7.3%
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
7.3%
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
3.2%
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(approx (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))))
2.7%
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(approx (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))))
4.2%
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
5.3%
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (/.f64 #s(approx (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
6.9%
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
48.0%
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 y (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))))
1.0%
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 y #s(literal -1 binary64)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 x (*.f64 y y)) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 x #s(literal -1 binary64)))))) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) y) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 0 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64)))) (*.f64 (*.f64 y y) #s(literal 1 binary64))))))))))
2.3%
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))))
52.7%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
2.6%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
7.4%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
7.6%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) #s(literal 2 binary64)))))
7.4%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))))))
5.1%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))))))))
7.9%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 #s(approx (+ (* 1/2 (PI)) (* 1/2 (/ x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))))))))))
5.6%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 #s(approx (+ (* 1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
6.9%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
Compiler

Compiled 3 313 to 1 775 computations (46.4% saved)

series179.0ms (3%)

Memory
4.0MiB live, 236.4MiB allocated; 42ms collecting garbage
Counts
79 → 413
Calls
Call 1
Inputs
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 y (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 y (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))
#s(literal -1/2 binary64)
(/.f64 (*.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 y (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(PI.f64)
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 y (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
y
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 x y)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))
(sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y))))
(fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))
#s(literal 1/8 binary64)
(pow.f64 (/.f64 x y) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
#s(literal 1/4 binary64)
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y))
(/.f64 (*.f64 x (PI.f64)) y)
(*.f64 x (PI.f64))
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(-.f64 (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))
(+.f64 (/.f64 x y) (PI.f64))
(cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64))))
(cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(-.f64 (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)))
(*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64))
#s(literal 0 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
Outputs
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (+ (* -1/2 (/ (* x (sin (+ (* 1/2 (PI)) (/ (PI) 2)))) (* y (* (sin (* 1/2 (PI))) (sin (* 1/2 (PI))))))) (pow (sin (* 1/2 (PI))) -1)) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (+ (* -1/2 (/ (* x (sin (+ (* 1/2 (PI)) (/ (PI) 2)))) (* y (* (sin (* 1/2 (PI))) (sin (* 1/2 (PI))))))) (pow (sin (* 1/2 (PI))) -1)) #s(hole binary64 (+ (* -1/2 (/ (* x (sin (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ (* x (sin (+ (* 1/2 (PI)) (/ (PI) 2)))) (* y (* (sin (* 1/2 (PI))) (sin (* 1/2 (PI)))))) #s(hole binary64 (/ (* x (sin (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))
#s(approx (* x (sin (+ (* 1/2 (PI)) (/ (PI) 2)))) #s(hole binary64 (* x (sin (PI)))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) #s(hole binary64 (* -1/2 (/ x (* y (cos (* 1/2 (PI))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) #s(hole binary64 (* x (- (* -1/4 (/ (* x (sin (* 1/2 (PI)))) (* (pow y 2) (pow (cos (* 1/2 (PI))) 2)))) (* 1/2 (/ 1 (* y (cos (* 1/2 (PI))))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) #s(hole binary64 (* x (- (* x (+ (* -1 (* x (- (* 5/48 (/ 1 (* (pow y 3) (cos (* 1/2 (PI)))))) (* -1/8 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (cos (* 1/2 (PI))) 3))))))) (* -1/4 (/ (sin (* 1/2 (PI))) (* (pow y 2) (pow (cos (* 1/2 (PI))) 2)))))) (* 1/2 (/ 1 (* y (cos (* 1/2 (PI))))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) #s(hole binary64 (* x (- (* x (+ (* -1/4 (/ (sin (* 1/2 (PI))) (* (pow y 2) (pow (cos (* 1/2 (PI))) 2)))) (* x (+ (* -1 (- (* 5/48 (/ 1 (* (pow y 3) (cos (* 1/2 (PI)))))) (* -1/8 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (cos (* 1/2 (PI))) 3)))))) (* x (+ (* -1/2 (/ (* (sin (* 1/2 (PI))) (- (* 5/48 (/ 1 (* (pow y 3) (cos (* 1/2 (PI)))))) (* -1/8 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (cos (* 1/2 (PI))) 3)))))) (* y (cos (* 1/2 (PI)))))) (+ (* -1/32 (/ (sin (* 1/2 (PI))) (* (pow y 4) (pow (cos (* 1/2 (PI))) 2)))) (* 1/96 (/ (sin (* 1/2 (PI))) (* (pow y 4) (pow (cos (* 1/2 (PI))) 2))))))))))) (* 1/2 (/ 1 (* y (cos (* 1/2 (PI))))))))))
#s(approx (* -1 (/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (cos (+ (* 1/2 (PI)) (* 1/2 (/ x y))))))) #s(hole binary64 (* -1/2 (/ x (* y (cos (* 1/2 (PI))))))))
#s(approx (* -1 (/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (cos (+ (* 1/2 (PI)) (* 1/2 (/ x y))))))) #s(hole binary64 (* x (- (* -1/4 (/ (* x (sin (* 1/2 (PI)))) (* (pow y 2) (pow (cos (* 1/2 (PI))) 2)))) (* 1/2 (/ 1 (* y (cos (* 1/2 (PI))))))))))
#s(approx (* -1 (/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (cos (+ (* 1/2 (PI)) (* 1/2 (/ x y))))))) #s(hole binary64 (* x (- (* x (+ (* -1 (* x (- (* 1/8 (/ 1 (* (pow y 3) (cos (* 1/2 (PI)))))) (+ (* -1/8 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (cos (* 1/2 (PI))) 3)))) (* 1/48 (/ 1 (* (pow y 3) (cos (* 1/2 (PI)))))))))) (* -1/4 (/ (sin (* 1/2 (PI))) (* (pow y 2) (pow (cos (* 1/2 (PI))) 2)))))) (* 1/2 (/ 1 (* y (cos (* 1/2 (PI))))))))))
#s(approx (* -1 (/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (cos (+ (* 1/2 (PI)) (* 1/2 (/ x y))))))) #s(hole binary64 (* x (- (* x (+ (* -1/4 (/ (sin (* 1/2 (PI))) (* (pow y 2) (pow (cos (* 1/2 (PI))) 2)))) (* x (+ (* -1 (- (* 1/8 (/ 1 (* (pow y 3) (cos (* 1/2 (PI)))))) (+ (* -1/8 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (cos (* 1/2 (PI))) 3)))) (* 1/48 (/ 1 (* (pow y 3) (cos (* 1/2 (PI))))))))) (* x (+ (* -1/2 (/ (* (sin (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 3) (cos (* 1/2 (PI)))))) (+ (* -1/8 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (cos (* 1/2 (PI))) 3)))) (* 1/48 (/ 1 (* (pow y 3) (cos (* 1/2 (PI))))))))) (* y (cos (* 1/2 (PI)))))) (+ (* -1/16 (/ (sin (* 1/2 (PI))) (* (pow y 4) (pow (cos (* 1/2 (PI))) 2)))) (* 1/2 (/ (+ (* 1/48 (/ (sin (* 1/2 (PI))) (pow y 3))) (* 1/16 (/ (sin (* 1/2 (PI))) (pow y 3)))) (* y (pow (cos (* 1/2 (PI))) 2))))))))))) (* 1/2 (/ 1 (* y (cos (* 1/2 (PI))))))))))
#s(approx (/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (cos (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))) #s(hole binary64 (* 1/2 (/ x (* y (cos (* 1/2 (PI))))))))
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Calls

6 calls:

TimeVariablePointExpression
35.0ms
y
@inf
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29.0ms
y
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27.0ms
x
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24.0ms
x
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22.0ms
x
@inf
((/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) (+ (* -1/2 (/ (* x (sin (+ (* 1/2 (PI)) (/ (PI) 2)))) (* y (* (sin (* 1/2 (PI))) (sin (* 1/2 (PI))))))) (pow (sin (* 1/2 (PI))) -1)) -1/2 (/ (* x (sin (+ (* 1/2 (PI)) (/ (PI) 2)))) (* y (* (sin (* 1/2 (PI))) (sin (* 1/2 (PI)))))) (* x (sin (+ (* 1/2 (PI)) (/ (PI) 2)))) x (sin (+ (* 1/2 (PI)) (/ (PI) 2))) (+ (* 1/2 (PI)) (/ (PI) 2)) 1/2 (PI) (/ (PI) 2) 2 (* y (* (sin (* 1/2 (PI))) (sin (* 1/2 (PI))))) y (* (sin (* 1/2 (PI))) (sin (* 1/2 (PI)))) (sin (* 1/2 (PI))) (* 1/2 (PI)) (pow (sin (* 1/2 (PI))) -1) -1 (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (* -1 (/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (cos (+ (* 1/2 (PI)) (* 1/2 (/ x y))))))) (/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (cos (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))) (sin (* 1/2 (/ x y))) (* 1/2 (/ x y)) (/ x y) (* (cos (* 1/2 (/ x y))) (cos (+ (* 1/2 (PI)) (* 1/2 (/ x y))))) (cos (* 1/2 (/ x y))) (cos (+ (* 1/2 (PI)) (* 1/2 (/ x y)))) (+ (* 1/2 (PI)) (* 1/2 (/ x y))) (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (* -1 (/ (sin (* 1/2 (/ x y))) (* (sin (+ (* 1/2 (/ x y)) (/ (PI) 2))) (sin (+ (/ (+ (* 1/8 (pow (/ x y) 3)) (* 1/8 (pow (PI) 3))) (- (+ (* 1/4 (/ (* x x) (* y y))) (* 1/4 (* (PI) (PI)))) (* 1/4 (/ (* x (PI)) y)))) (/ (PI) 2)))))) (/ (sin (* 1/2 (/ x y))) (* (sin (+ (* 1/2 (/ x y)) (/ (PI) 2))) (sin (+ (/ (+ (* 1/8 (pow (/ x y) 3)) (* 1/8 (pow (PI) 3))) (- (+ (* 1/4 (/ (* x x) (* y y))) (* 1/4 (* (PI) (PI)))) (* 1/4 (/ (* x (PI)) y)))) (/ (PI) 2))))) (* (sin (+ (* 1/2 (/ x y)) (/ (PI) 2))) (sin (+ (/ (+ (* 1/8 (pow (/ x y) 3)) (* 1/8 (pow (PI) 3))) (- (+ (* 1/4 (/ (* x x) (* y y))) (* 1/4 (* (PI) (PI)))) (* 1/4 (/ (* x (PI)) y)))) (/ (PI) 2)))) (sin (+ (* 1/2 (/ x y)) (/ (PI) 2))) (+ (* 1/2 (/ x y)) (/ (PI) 2)) (sin (+ (/ (+ (* 1/8 (pow (/ x y) 3)) (* 1/8 (pow (PI) 3))) (- (+ (* 1/4 (/ (* x x) (* y y))) (* 1/4 (* (PI) (PI)))) (* 1/4 (/ (* x (PI)) y)))) (/ (PI) 2))) (+ (/ (+ (* 1/8 (pow (/ x y) 3)) (* 1/8 (pow (PI) 3))) (- (+ (* 1/4 (/ (* x x) (* y y))) (* 1/4 (* (PI) (PI)))) (* 1/4 (/ (* x (PI)) y)))) (/ (PI) 2)) (/ (+ (* 1/8 (pow (/ x y) 3)) (* 1/8 (pow (PI) 3))) (- (+ (* 1/4 (/ (* x x) (* y y))) (* 1/4 (* (PI) (PI)))) (* 1/4 (/ (* x (PI)) y)))) (+ (* 1/8 (pow (/ x y) 3)) (* 1/8 (pow (PI) 3))) 1/8 (pow (/ x y) 3) 3 (* 1/8 (pow (PI) 3)) (pow (PI) 3) (- (+ (* 1/4 (/ (* x x) (* y y))) (* 1/4 (* (PI) (PI)))) (* 1/4 (/ (* x (PI)) y))) (+ (* 1/4 (/ (* x x) (* y y))) (* 1/4 (* (PI) (PI)))) 1/4 (/ (* x x) (* y y)) (* x x) (* y y) (* 1/4 (* (PI) (PI))) (* (PI) (PI)) (* 1/4 (/ (* x (PI)) y)) (/ (* x (PI)) y) (* x (PI)) (/ (neg (tan (/ (/ x y) 2))) (- (* (sin (/ (+ (/ x y) (PI)) 2)) (cos (/ (PI) 2))) (* (sin (/ (/ x y) 2)) (sin (/ (PI) 2))))) (neg (tan (/ (/ x y) 2))) (tan (/ (/ x y) 2)) (/ (/ x y) 2) (- (* (sin (/ (+ (/ x y) (PI)) 2)) (cos (/ (PI) 2))) (* (sin (/ (/ x y) 2)) (sin (/ (PI) 2)))) (* (sin (/ (+ (/ x y) (PI)) 2)) (cos (/ (PI) 2))) (sin (/ (+ (/ x y) (PI)) 2)) (/ (+ (/ x y) (PI)) 2) (+ (/ x y) (PI)) (cos (/ (PI) 2)) (* (sin (/ (/ x y) 2)) (sin (/ (PI) 2))) (sin (/ (/ x y) 2)) (sin (/ (PI) 2)) (/ (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (- (* (sin (/ (+ (/ x y) (PI)) 2)) -1) (* (sin (/ (/ x y) 2)) 0))) (sin (/ x (* y 2)))) (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (- (* (sin (/ (+ (/ x y) (PI)) 2)) -1) (* (sin (/ (/ x y) 2)) 0))) (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (+ (/ (/ x y) 2) (/ (PI) 2)) (- (* (sin (/ (+ (/ x y) (PI)) 2)) -1) (* (sin (/ (/ x y) 2)) 0)) (* (sin (/ (+ (/ x y) (PI)) 2)) -1) (* (sin (/ (/ x y) 2)) 0) 0 (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))

rewrite337.0ms (5.6%)

Memory
-19.4MiB live, 447.7MiB allocated; 68ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0274633722
0289531050
0902230119
Stop Event
iter limit
node limit
iter limit
Counts
492 → 605
Calls
Call 1
Inputs
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#s(approx (- (* (sin (/ (+ (/ x y) (PI)) 2)) -1) (* (sin (/ (/ x y) 2)) 0)) #s(hole binary64 (+ (* -1 (sin (* 1/2 (PI)))) (* -1 (/ (+ (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y)))))
#s(approx (- (* (sin (/ (+ (/ x y) (PI)) 2)) -1) (* (sin (/ (/ x y) 2)) 0)) #s(hole binary64 (+ (* -1 (sin (* 1/2 (PI)))) (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y)) (* 1/8 (* (pow x 2) (sin (* 1/2 (PI)))))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y)))))
#s(approx (* (sin (/ (+ (/ x y) (PI)) 2)) -1) #s(hole binary64 (+ (* -1 (sin (* 1/2 (PI)))) (* -1 (/ (+ (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y)))))
#s(approx (* (sin (/ (+ (/ x y) (PI)) 2)) -1) #s(hole binary64 (+ (* -1 (sin (* 1/2 (PI)))) (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y)) (* 1/8 (* (pow x 2) (sin (* 1/2 (PI)))))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y)))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
Outputs
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (-.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64)))
#s(literal -1/2 binary64)
(*.f64 (/.f64 x y) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (neg.f64 (*.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (neg.f64 (*.f64 y (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(/.f64 (*.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 y (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(*.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))
x
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(PI.f64)
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 y (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
y
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(*.f64 (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fabs.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64)))
#s(literal -1 binary64)
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) #s(literal 2 binary64))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(cos.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
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#s(approx (sin (* 1/2 (/ x y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
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#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 5/48 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y)))) (*.f64 y (*.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y))) (*.f64 y (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 y (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64))))))
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(fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (*.f64 x (fma.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 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(pow.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y)))) (*.f64 y (*.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 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#s(approx (neg (tan (/ (/ x y) 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
#s(approx (neg (tan (/ (/ x y) 2))) (*.f64 x (-.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))))))
#s(approx (neg (tan (/ (/ x y) 2))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 (*.f64 y y) y) #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))))))
#s(approx (neg (tan (/ (/ x y) 2))) (*.f64 x (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -17/40320 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64)))) (*.f64 #s(literal 1/240 binary64) (pow.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal -1 binary64))))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (*.f64 (*.f64 y y) y) #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))))))
#s(approx (tan (/ (/ x y) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (tan (/ (/ x y) 2)) (*.f64 x (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))))))
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#s(approx (/ (/ x y) 2) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (- (* (sin (/ (+ (/ x y) (PI)) 2)) (cos (/ (PI) 2))) (* (sin (/ (/ x y) 2)) (sin (/ (PI) 2)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
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#s(approx (* (sin (/ (+ (/ x y) (PI)) 2)) (cos (/ (PI) 2))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
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#s(approx (/ (+ (* 1/8 (pow (/ x y) 3)) (* 1/8 (pow (PI) 3))) (- (+ (* 1/4 (/ (* x x) (* y y))) (* 1/4 (* (PI) (PI)))) (* 1/4 (/ (* x (PI)) y)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (PI.f64) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))))))
#s(approx (/ (+ (* 1/8 (pow (/ x y) 3)) (* 1/8 (pow (PI) 3))) (- (+ (* 1/4 (/ (* x x) (* y y))) (* 1/4 (* (PI) (PI)))) (* 1/4 (/ (* x (PI)) y)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 (PI.f64) (PI.f64))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (*.f64 (PI.f64) (PI.f64))) x))) x) (/.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)) x))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))))))
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#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))))))
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#s(approx (sin (/ (+ (/ x y) (PI)) 2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
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#s(approx y y)
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#s(approx (sin (* 1/2 (/ x y))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)))))) y)))
#s(approx (* (cos (* 1/2 (/ x y))) (cos (+ (* 1/2 (PI)) (* 1/2 (/ x y))))) (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 x x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) y))))
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(/.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 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#s(approx (/ (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (- (* (sin (/ (+ (/ x y) (PI)) 2)) -1) (* (sin (/ (/ x y) 2)) 0))) (sin (/ x (* y 2)))) (*.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (*.f64 (*.f64 x x) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 x x) y))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (*.f64 (*.f64 x x) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal -1/12 binary64) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) x) (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 y (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) y) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) y) (*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (- (* (sin (/ (+ (/ x y) (PI)) 2)) -1) (* (sin (/ (/ x y) 2)) 0))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))
#s(approx (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (- (* (sin (/ (+ (/ x y) (PI)) 2)) -1) (* (sin (/ (/ x y) 2)) 0))) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) y))))
#s(approx (/ (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (- (* (sin (/ (+ (/ x y) (PI)) 2)) -1) (* (sin (/ (/ x y) 2)) 0))) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 (*.f64 x x) x) y))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) y) (*.f64 #s(literal 1/48 binary64) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) y) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) y))) y))))
#s(approx (- (* (sin (/ (+ (/ x y) (PI)) 2)) (cos (/ (PI) 2))) (* (sin (/ (/ x y) 2)) (sin (/ (PI) 2)))) (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) y))))
#s(approx (- (* (sin (/ (+ (/ x y) (PI)) 2)) (cos (/ (PI) 2))) (* (sin (/ (/ x y) 2)) (sin (/ (PI) 2)))) (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) y))))
#s(approx (- (* (sin (/ (+ (/ x y) (PI)) 2)) -1) (* (sin (/ (/ x y) 2)) 0)) (fma.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) y))))
#s(approx (- (* (sin (/ (+ (/ x y) (PI)) 2)) -1) (* (sin (/ (/ x y) 2)) 0)) (fma.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) y) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) y))))
#s(approx (* (sin (/ (+ (/ x y) (PI)) 2)) -1) (fma.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) y))))
#s(approx (* (sin (/ (+ (/ x y) (PI)) 2)) -1) (fma.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))) y) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) y))))
#s(approx (sin (/ x (* y 2))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)))) y)))
#s(approx (sin (/ x (* y 2))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y))))) y)))
#s(approx (sin (/ x (* y 2))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 y y)))))) y)))

eval129.0ms (2.2%)

Memory
12.0MiB live, 198.3MiB allocated; 27ms collecting garbage
Compiler

Compiled 80 612 to 4 910 computations (93.9% saved)

prune233.0ms (3.9%)

Memory
-8.9MiB live, 244.4MiB allocated; 58ms collecting garbage
Pruning

40 alts after pruning (36 fresh and 4 done)

PrunedKeptTotal
New78615801
Fresh52126
Picked325
Done123
Total79540835
Accuracy
59.0%
Counts
835 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.9%
(/.f64 (/.f64 (-.f64 (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.5%
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
36.3%
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
37.9%
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 #s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
37.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.1%
(/.f64 (/.f64 (sin.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 x y) (PI.f64))))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.3%
(/.f64 (/.f64 (sin.f64 (+.f64 (/.f64 #s(approx (+ (/ x y) (PI)) (*.f64 x (/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 y (PI.f64))) (*.f64 y x)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.5%
(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
3.7%
(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (/.f64 #s(approx (+ (/ x y) (PI)) (*.f64 x (/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 y (PI.f64))) (*.f64 y x)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.1%
(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
5.7%
(/.f64 (/.f64 #s(approx (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (sin.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 #s(approx (+ (/ (/ x y) 2) (PI)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.6%
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))) (-.f64 (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
7.5%
(/.f64 (neg.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
14.4%
(/.f64 (neg.f64 (/.f64 (sin.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
7.3%
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
6.7%
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 2 binary64))))
3.2%
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(approx (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))))))
4.2%
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
5.3%
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (/.f64 #s(approx (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
6.9%
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
48.1%
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 y (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))))
1.0%
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 y #s(literal -1 binary64)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 x (*.f64 y y)) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 x #s(literal -1 binary64)))))) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) y) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 0 binary64)) #s(literal 1 binary64))))) #s(literal -1 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (*.f64 #s(literal -1/48 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64)))) (*.f64 (*.f64 y y) #s(literal 1 binary64))))))))))
2.3%
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ (/ x y) 2) (/ (PI) 2)))) (sin (/ x (* y 2)))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 y x) (/.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))))
52.7%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
5.0%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))))
5.1%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y))))) #s(literal 0 binary64) (*.f64 (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)))))))
7.4%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))))))
2.5%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
2.6%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 y y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
3.4%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 #s(approx (+ (* 1/4 (/ (* x x) (* y y))) (* 1/4 (* (PI) (PI)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
2.9%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(approx (- (+ (* 1/4 (/ (* x x) (* y y))) (* 1/4 (* (PI) (PI)))) (* 1/4 (/ (* x (PI)) y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
2.5%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
7.4%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
7.4%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 #s(approx (/ (+ (* 1/8 (pow (/ x y) 3)) (* 1/8 (pow (PI) 3))) (- (+ (* 1/4 (/ (* x x) (* y y))) (* 1/4 (* (PI) (PI)))) (* 1/4 (/ (* x (PI)) y)))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
2.3%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (+ (/ (+ (* 1/8 (pow (/ x y) 3)) (* 1/8 (pow (PI) 3))) (- (+ (* 1/4 (/ (* x x) (* y y))) (* 1/4 (* (PI) (PI)))) (* 1/4 (/ (* x (PI)) y)))) (/ (PI) 2))) (sin.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
2.5%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
7.6%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) #s(literal 2 binary64)))))
7.9%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 #s(approx (+ (* 1/2 (PI)) (* 1/2 (/ x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))))))))))
5.6%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 #s(approx (+ (* 1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
6.9%
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
Compiler

Compiled 6 771 to 1 941 computations (71.3% saved)

regimes110.0ms (1.8%)

Memory
-2.4MiB live, 181.6MiB allocated; 37ms collecting garbage
Counts
67 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 #s(approx (+ (* 1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 #s(approx (+ (* 1/2 (PI)) (* 1/2 (/ x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) #s(literal 2 binary64)))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (+ (/ (+ (* 1/8 (pow (/ x y) 3)) (* 1/8 (pow (PI) 3))) (- (+ (* 1/4 (/ (* x x) (* y y))) (* 1/4 (* (PI) (PI)))) (* 1/4 (/ (* x (PI)) y)))) (/ (PI) 2))) (sin.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 #s(approx (/ (+ (* 1/8 (pow (/ x y) 3)) (* 1/8 (pow (PI) 3))) (- (+ (* 1/4 (/ (* x x) (* y y))) (* 1/4 (* (PI) (PI)))) (* 1/4 (/ (* x (PI)) y)))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(approx (- (+ (* 1/4 (/ (* x x) (* y y))) (* 1/4 (* (PI) (PI)))) (* 1/4 (/ (* x (PI)) y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 #s(approx (+ (* 1/4 (/ (* x x) (* y y))) (* 1/4 (* (PI) (PI)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
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(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (/.f64 #s(approx (+ (/ x y) (PI)) (*.f64 x (/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 y (PI.f64))) (*.f64 y x)))) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (+.f64 (/.f64 #s(approx (+ (/ x y) (PI)) (*.f64 x (/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 y (PI.f64))) (*.f64 y x)))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (+.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 x y) (PI.f64))))) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x #s(approx y y))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 #s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

5 calls:

30.0ms
(*.f64 y #s(literal 2 binary64))
22.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
19.0ms
y
17.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
17.0ms
x
Results
AccuracySegmentsBranch
52.7%1(*.f64 y #s(literal 2 binary64))
52.7%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
52.7%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
52.7%1x
52.7%1y
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes34.0ms (0.6%)

Memory
13.9MiB live, 60.4MiB allocated; 6ms collecting garbage
Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 #s(approx (+ (* 1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 #s(approx (+ (* 1/2 (PI)) (* 1/2 (/ x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) #s(literal 2 binary64)))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(approx (sin (+ (/ (+ (* 1/8 (pow (/ x y) 3)) (* 1/8 (pow (PI) 3))) (- (+ (* 1/4 (/ (* x x) (* y y))) (* 1/4 (* (PI) (PI)))) (* 1/4 (/ (* x (PI)) y)))) (/ (PI) 2))) (sin.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 #s(approx (/ (+ (* 1/8 (pow (/ x y) 3)) (* 1/8 (pow (PI) 3))) (- (+ (* 1/4 (/ (* x x) (* y y))) (* 1/4 (* (PI) (PI)))) (* 1/4 (/ (* x (PI)) y)))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(approx (- (+ (* 1/4 (/ (* x x) (* y y))) (* 1/4 (* (PI) (PI)))) (* 1/4 (/ (* x (PI)) y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 #s(approx (+ (* 1/4 (/ (* x x) (* y y))) (* 1/4 (* (PI) (PI)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 y y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (fma.f64 (sin.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y))))) #s(literal 0 binary64) (*.f64 (sin.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (/ (+ (pow (/ (/ x y) 2) 3) (pow (/ (PI) 2) 3)) (+ (* (/ (/ x y) 2) (/ (/ x y) 2)) (- (* (/ (PI) 2) (/ (PI) 2)) (* (/ (/ x y) 2) (/ (PI) 2))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (PI.f64)) y)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))))
Outputs
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 #s(approx (+ (* 1/2 (PI)) (* 1/2 (/ x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))))))))))
Calls

5 calls:

9.0ms
x
6.0ms
(*.f64 y #s(literal 2 binary64))
6.0ms
y
5.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
5.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
7.9%1(*.f64 y #s(literal 2 binary64))
7.9%1x
7.9%1y
7.9%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
7.9%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes7.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB allocated; 0ms collecting garbage
Accuracy

Total -1.7b remaining (-2.9%)

Threshold costs -1.7b (-2.9%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 #s(approx (+ (* 1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
Outputs
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
Calls

5 calls:

1.0ms
y
1.0ms
(*.f64 y #s(literal 2 binary64))
1.0ms
x
1.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
1.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
6.9%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
6.9%1x
6.9%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.9%1(*.f64 y #s(literal 2 binary64))
6.9%1y
Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify58.0ms (1%)

Memory
-17.7MiB live, 73.5MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049110
190110
2190106
3439106
41372106
57602106
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 #s(approx (+ (* 1/2 (PI)) (* 1/2 (/ x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 #s(approx (+ (* 1/2 (PI)) (* 1/2 (/ x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 #s(approx (+ (* 1/2 (PI)) (* 1/2 (/ x y))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))))))))))
#s(approx (/ (neg (tan (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (/ (PI) 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))))

derivations112.0ms (1.9%)

Memory
15.7MiB live, 110.5MiB allocated; 36ms collecting garbage
Stop Event
fuel
Compiler

Compiled 110 to 44 computations (60% saved)

preprocess57.0ms (1%)

Memory
14.6MiB live, 60.2MiB allocated; 7ms collecting garbage
Remove

(abs y)

(abs x)

Compiler

Compiled 426 to 224 computations (47.4% saved)

end0.0ms (0%)

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

Profiling

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