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

Time bar (total: 4.7s)

start0.0ms (0%)

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

analyze301.0ms (6.4%)

Memory
-10.3MiB live, 393.5MiB allocated; 163ms 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)

sample1.9s (39.5%)

Memory
51.8MiB live, 2 607.3MiB allocated; 382ms collecting garbage
Samples
1.0s4 008×1valid
409.0ms4 248×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-div: 305.0ms (27% of total)
ival-sin: 304.0ms (27% of total)
ival-tan: 277.0ms (24.6% of total)
adjust: 136.0ms (12.1% of total)
ival-mult: 97.0ms (8.6% of total)
exact: 7.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain193.0ms (4.1%)

Memory
-4.1MiB live, 232.5MiB allocated; 32ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1130-0-(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
1130-0-(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
340-0-(/.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))))sensitivity790
tan.f64(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))sensitivity790
sin.f64(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))oflow-rescue340
(/.f64 x (*.f64 y #s(literal 2 binary64)))overflow34
tan.f64(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))oflow-rescue340
(/.f64 x (*.f64 y #s(literal 2 binary64)))overflow34
/.f64(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))u/u340
(/.f64 x (*.f64 y #s(literal 2 binary64)))underflow34
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))underflow34
(/.f64 x (*.f64 y #s(literal 2 binary64)))underflow34
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))underflow34
Confusion
Predicted +Predicted -
+1470
-0109
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+14700
-00109
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0109
134
2113
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
49.0ms224×1valid
34.0ms288×0valid
Compiler

Compiled 89 to 28 computations (68.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-tan: 19.0ms (38% of total)
ival-sin: 12.0ms (24% of total)
ival-div: 10.0ms (20% of total)
adjust: 4.0ms (8% of total)
ival-mult: 4.0ms (8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess271.0ms (5.8%)

Memory
-6.8MiB live, 203.2MiB allocated; 100ms 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 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))
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
47.1%
(/.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)

series46.0ms (1%)

Memory
1.1MiB live, 48.1MiB allocated; 1ms 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
28.0ms
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))))
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
@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))))
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))))

rewrite271.0ms (5.8%)

Memory
-30.1MiB live, 303.2MiB allocated; 29ms 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)))) (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #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 (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 (/.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)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 5/384 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 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 y #s(literal -4 binary64)) #s(literal 5/384 binary64) (/.f64 (*.f64 #s(literal 61/46080 binary64) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (*.f64 (pow.f64 y #s(literal -2 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))) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (tan (/ x (* y 2))) (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (tan (/ x (* y 2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -5 binary64)) #s(literal 1/240 binary64) (/.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) (pow.f64 y #s(literal 7 binary64)))) (*.f64 x x) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) 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))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 (fma.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 y #s(literal -3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (*.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal -5 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (tan (/ x (* y 2))) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#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 (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (*.f64 y y)) #s(literal 2 binary64) #s(literal 1 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 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (*.f64 y y)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 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 (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (*.f64 y y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/645120 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))) (pow.f64 y #s(literal 6 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 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/322560 binary64) (*.f64 #s(literal 1/1920 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))))))
#s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) y))
#s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/768 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))))) y))
#s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/645120 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/16 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/92160 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/384 binary64) (/.f64 (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))))))) y))
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x))) y))
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/645120 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)))) y))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (*.f64 y y)) #s(literal -2 binary64) #s(literal 1 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 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 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 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (*.f64 y y))))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) #s(literal -2 binary64)) (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64)))) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (pow.f64 y #s(literal 4 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 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/322560 binary64) (*.f64 #s(literal 1/1920 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))))))))
#s(approx (tan (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 y y))) y)))
#s(approx (tan (/ x (* y 2))) (neg.f64 (/.f64 (-.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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) y)))
#s(approx (tan (/ x (* y 2))) (neg.f64 (/.f64 (-.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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/92160 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/384 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))))))) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y)))) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y))))) y)))

eval10.0ms (0.2%)

Memory
22.2MiB live, 22.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 487 to 417 computations (83.2% saved)

prune23.0ms (0.5%)

Memory
-26.5MiB live, 20.7MiB allocated; 1ms collecting garbage
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New581270
Fresh000
Picked101
Done000
Total591271
Accuracy
64.5%
Counts
71 → 12
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)))))
46.9%
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.9%
(/.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)))))
46.0%
(/.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)))))
47.1%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
35.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x)))
43.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
43.2%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
50.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
60.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
60.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 494 to 342 computations (30.8% saved)

series50.0ms (1.1%)

Memory
25.0MiB live, 69.9MiB allocated; 5ms collecting garbage
Counts
29 → 118
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
#s(literal 1/8 binary64)
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
#s(literal 1/2 binary64)
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 x (+.f64 y y)))
(/.f64 x (+.f64 y y))
(+.f64 y y)
(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 (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))
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 (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 1))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (* x x) (* y y)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#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 (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 (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (+ y y))) (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 y))) (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 y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (+ y y))) #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 y))) #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 y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (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 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 35/9216 (/ 1 (pow y 6))) (* 19/7680 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #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 (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #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 (sin (/ x y)) #s(hole binary64 (/ x y)))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 2))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 (+ 2 (* -1/2 (/ (pow x 2) (pow y 2))))))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))))
#s(approx (cos (/ x y)) #s(hole binary64 1))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2)))))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))))
#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 (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (/ (sin (/ x y)) (+ 1 (cos (/ x y))))))
#s(approx (sin (/ x y)) #s(hole binary64 (sin (/ x y))))
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#s(approx (cos (/ x y)) #s(hole binary64 (cos (/ x y))))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
#s(approx (+ y y) #s(hole binary64 (* 2 y)))
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#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)))
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#s(approx (tan (/ x (+ y y))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)))
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#s(approx (/ (tan (/ x (+ y y))) (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 y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))))
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#s(approx (tan (/ x (+ y y))) #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)) (+ 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)))))))))
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#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))))
Calls

6 calls:

TimeVariablePointExpression
19.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) 1/2 (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (* 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)))
7.0ms
x
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) 1/2 (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (* 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)))
7.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) 1/2 (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (* 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)))
5.0ms
x
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) 1/2 (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (* 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)))
4.0ms
x
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) x (* y y) y 1/8 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (* (/ x y) 1/2) (/ x y) 1/2 (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (* 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)))

rewrite254.0ms (5.4%)

Memory
33.4MiB live, 261.6MiB allocated; 85ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07876812
08215892
151235804
088385518
Stop Event
iter limit
node limit
iter limit
Counts
147 → 238
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(/.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
#s(literal 1/8 binary64)
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
#s(literal 1/2 binary64)
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 x (+.f64 y y)))
(/.f64 x (+.f64 y y))
(+.f64 y y)
(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 (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))
#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))))))))
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#s(approx (/ (* x x) (* y y)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#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))))))
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#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 (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 (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (+ y y))) (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 y))) (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 y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (+ y y))) #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 y))) #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 y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (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 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 35/9216 (/ 1 (pow y 6))) (* 19/7680 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #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 (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #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 (sin (/ x y)) #s(hole binary64 (/ x y)))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 2))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 (+ 2 (* -1/2 (/ (pow x 2) (pow y 2))))))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))))
#s(approx (cos (/ x y)) #s(hole binary64 1))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2)))))
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#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 (/ (tan (/ x (+ y y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) #s(hole binary64 (/ (sin (/ x y)) (+ 1 (cos (/ x y))))))
#s(approx (sin (/ x y)) #s(hole binary64 (sin (/ x y))))
#s(approx (+ 1 (cos (/ x y))) #s(hole binary64 (+ 1 (cos (/ x y)))))
#s(approx (cos (/ x y)) #s(hole binary64 (cos (/ x y))))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (* y 2) #s(hole binary64 (* 2 y)))
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#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))))
Outputs
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/512 binary64) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y))) (neg.f64 (*.f64 y y)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64)))
(*.f64 (/.f64 x y) (/.f64 x y))
(*.f64 x (/.f64 x (*.f64 y y)))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 x x) y) y)
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 y y)))
(/.f64 (*.f64 x x) (*.f64 y y))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
x
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
y
#s(literal 1/8 binary64)
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.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 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(/.f64 (neg.f64 (sin.f64 (/.f64 x y))) (neg.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))))
(/.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 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))
(/.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 (/.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))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (-.f64 y y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))))
(+.f64 y y)
#s(literal 2 binary64)
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #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 (+.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 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(/.f64 (neg.f64 (sin.f64 (/.f64 x y))) (neg.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))))
(/.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 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))
(/.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 (/.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))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (-.f64 y y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))))
(+.f64 y y)
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #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 (+.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 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(/.f64 (neg.f64 (sin.f64 (/.f64 x y))) (neg.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))))
(/.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 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))
(/.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 (/.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)))
(sin.f64 (/.f64 x y))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64))) (-.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 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))))
(+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(fma.f64 (sin.f64 (/.f64 x y)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (/.f64 x y))))
(cos.f64 (neg.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
(+.f64 (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 5/384 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) #s(literal 5/384 binary64) (/.f64 (*.f64 #s(literal 61/46080 binary64) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -5 binary64)) #s(literal 1/240 binary64) (/.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) (pow.f64 y #s(literal 7 binary64)))) (*.f64 x x) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (/ x (+ y y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 (fma.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 y #s(literal -3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (*.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal -5 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x))
#s(approx (* (/ x y) 1/2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(approx (/ x y) (/.f64 x y))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
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#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (-.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/5040 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x)))) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)))) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x))) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64))) x)))) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/322560 binary64) (pow.f64 x #s(literal 7 binary64)) (fma.f64 #s(literal 1/7680 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/640 binary64)))) x) (pow.f64 y #s(literal 6 binary64))) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x) (*.f64 y y))) (neg.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -7/640 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/48 binary64))) x) (pow.f64 y #s(literal 4 binary64)))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 y y))) y)))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (neg.f64 (/.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 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 #s(literal -1/96 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 y y))))) y)))
#s(approx (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (neg.f64 (/.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 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal -1/96 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 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 (/.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/48 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 y y)))))))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/6 binary64) (neg.f64 x)) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.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 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.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 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) y)))

eval36.0ms (0.8%)

Memory
-25.1MiB live, 65.9MiB allocated; 15ms collecting garbage
Compiler

Compiled 8 043 to 1 122 computations (86% saved)

prune20.0ms (0.4%)

Memory
-1.0MiB live, 45.4MiB allocated; 3ms collecting garbage
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New22514239
Fresh167
Picked415
Done000
Total23021251
Accuracy
64.6%
Counts
251 → 21
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)))))
3.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 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)))))
46.9%
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (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) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.9%
(/.f64 (/.f64 (sin.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 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.5%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
46.5%
(/.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)))))
46.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.9%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y y))))
46.0%
(/.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)))))
43.4%
(/.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)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
47.1%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
43.3%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
35.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x)))
43.2%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
60.4%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
46.7%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))))
56.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
54.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
60.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 981 to 648 computations (33.9% saved)

series75.0ms (1.6%)

Memory
-4.7MiB live, 139.7MiB allocated; 18ms collecting garbage
Counts
41 → 216
Calls
Call 1
Inputs
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 y y))
(*.f64 y y)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
(tan.f64 (/.f64 x (+.f64 y y)))
(/.f64 x (+.f64 y y))
(+.f64 y y)
(sin.f64 (/.f64 x (+.f64 y y)))
(/.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)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.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))))
(neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
#s(literal 2 binary64)
(cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))
(PI.f64)
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 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 (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 y))
(+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 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)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (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 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 35/9216 (/ 1 (pow y 6))) (* 19/7680 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 1))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #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 (cos (* (/ x y) 1/2)) #s(hole binary64 1))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (* (/ x y) 1/2) #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 (/ (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 (+ (* (* x (/ x (* y y))) 1/8) 1) #s(hole binary64 1))
#s(approx (+ (* (* x (/ x (* y y))) 1/8) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (* x (/ x (* y y))) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (/ x (* y y)) #s(hole binary64 (/ x (pow y 2))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #s(hole binary64 1))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) #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 y))) (sin (/ x (+ y y)))) #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 y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (tan (/ x (+ y y))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (tan (/ x (+ y y))) #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 y))) #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 y)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (sin (/ x (+ y y))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (sin (/ x (+ y y))) #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 y))) #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 (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ -1 (cos (PI)))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* 1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI))))))
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Calls

6 calls:

TimeVariablePointExpression
19.0ms
x
@-inf
((/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* x (/ x (* y y))) 1/8) 1) (* x (/ x (* y y))) (/ x (* y y)) (* y y) 1/8 1 (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (neg (sin (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) 2 (cos (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (PI) (sin (/ x (* y 2))) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (/ (PI) 2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
14.0ms
y
@inf
((/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* x (/ x (* y y))) 1/8) 1) (* x (/ x (* y y))) (/ x (* y y)) (* y y) 1/8 1 (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (neg (sin (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) 2 (cos (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (PI) (sin (/ x (* y 2))) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (/ (PI) 2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
10.0ms
x
@0
((/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* x (/ x (* y y))) 1/8) 1) (* x (/ x (* y y))) (/ x (* y y)) (* y y) 1/8 1 (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (neg (sin (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) 2 (cos (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (PI) (sin (/ x (* y 2))) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (/ (PI) 2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
9.0ms
y
@-inf
((/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* x (/ x (* y y))) 1/8) 1) (* x (/ x (* y y))) (/ x (* y y)) (* y y) 1/8 1 (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (neg (sin (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) 2 (cos (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (PI) (sin (/ x (* y 2))) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (/ (PI) 2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
7.0ms
x
@inf
((/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* x (/ x (* y y))) 1/8) 1) (* x (/ x (* y y))) (/ x (* y y)) (* y y) 1/8 1 (/ (tan (/ x (+ y y))) (sin (/ x (+ y y)))) (tan (/ x (+ y y))) (/ x (+ y y)) (+ y y) (sin (/ x (+ y y))) (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (neg (sin (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) 2 (cos (+ (/ (/ x y) 2) (PI))) (+ (/ (/ x y) 2) (PI)) (PI) (sin (/ x (* y 2))) (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (/ (PI) 2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))

rewrite201.0ms (4.3%)

Memory
15.4MiB live, 434.8MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150812309
0156710584
0862210239
Stop Event
iter limit
node limit
iter limit
Counts
257 → 309
Calls
Call 1
Inputs
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(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64))
(*.f64 x (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 y y))
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#s(approx (sin (/ (/ x y) 2)) (*.f64 x (fma.f64 (*.f64 x x) (fma.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 y #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) y))))
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#s(approx (/ (/ x y) 2) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (cos (+ (/ (/ x y) 2) (PI))) #s(literal -1 binary64))
#s(approx (cos (+ (/ (/ x y) 2) (PI))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal 0 binary64)) y))))
#s(approx (cos (+ (/ (/ x y) 2) (PI))) (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal -1 binary64))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)))))
#s(approx (cos (+ (/ (/ x y) 2) (PI))) (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x #s(literal 0 binary64))) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 0 binary64) y)))))
#s(approx (+ (/ (/ x y) 2) (PI)) (PI.f64))
#s(approx (+ (/ (/ x y) 2) (PI)) (-.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
#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) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y))))
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#s(approx (sin (/ x (* y 2))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/645120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (*.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal -5 binary64)))) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) y))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
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#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal 2 binary64))) (pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64)))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (*.f64 x (fma.f64 x (-.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal 2 binary64)))) (pow.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -1 binary64)))))
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#s(approx (sin (/ x y)) (/.f64 x y))
#s(approx (sin (/ x y)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64)))))
#s(approx (sin (/ x y)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal -3 binary64)))) (pow.f64 y #s(literal -1 binary64)))))
#s(approx (sin (/ x y)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal -5 binary64)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal -3 binary64)))) (pow.f64 y #s(literal -1 binary64)))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y)))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 y y)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y)))))
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#s(approx (sin (+ (/ x y) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y)))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 y y)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y)))))
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#s(approx (+ (/ x y) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 x y)))
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#s(approx (sin (/ x (* y 2))) (neg.f64 (/.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 (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) y)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64)))))) y) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) y) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64)))) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -5/48 binary64)) (*.f64 (*.f64 x y) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))))))) (*.f64 y (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64)))))) y) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) y) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) y)))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))))) y)) (/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) y))) y)))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64)))))) (*.f64 y (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (-.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 y (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64)))))) y)) (/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) y))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (-.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.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 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.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 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) y)))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))) y))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))) y))) y))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (/.f64 (fma.f64 (neg.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))) y))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))) y))) y))))

eval72.0ms (1.5%)

Memory
-0.4MiB live, 146.4MiB allocated; 56ms collecting garbage
Compiler

Compiled 17 044 to 1 992 computations (88.3% saved)

prune25.0ms (0.5%)

Memory
35.1MiB live, 79.7MiB allocated; 5ms collecting garbage
Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New37410384
Fresh7815
Picked325
Done011
Total38421405
Accuracy
65.0%
Counts
405 → 21
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)))))
5.8%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.9%
(/.f64 (/.f64 (sin.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 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
11.5%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.5%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (pow.f64 y #s(literal -1 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.0%
(/.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)))))
46.2%
(/.f64 (/.f64 #s(approx (neg (sin (/ (/ x y) 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
47.1%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
41.4%
(/.f64 #s(approx (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (*.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 x (*.f64 y y)) #s(literal 0 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1 binary64)))))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
57.0%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
60.4%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (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)))
51.1%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (cos (* (/ x y) 1/2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))) #s(literal -1 binary64)))
46.7%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))))
60.3%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
50.0%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 y y))) (*.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal -7/24 binary64))))
59.5%
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
56.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
54.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
60.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 1 198 to 802 computations (33.1% saved)

series97.0ms (2.1%)

Memory
-24.4MiB live, 155.7MiB allocated; 78ms collecting garbage
Counts
43 → 173
Calls
Call 1
Inputs
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (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)))
(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))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (/.f64 x y))
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
(/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(cos.f64 (-.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(-.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 x y))
#s(literal -1/2 binary64)
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))))
(sin.f64 (/.f64 x y))
(+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))))
(sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))
#s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(literal -2 binary64)
(*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
Outputs
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (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 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 35/9216 (/ 1 (pow y 6))) (* 19/7680 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #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 (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #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 (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (cos (* 1/2 (PI))) y)))))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* 1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#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 (+ (* (* (/ x y) (/ x y)) 1/8) 1) #s(hole binary64 1))
#s(approx (+ (* (* (/ x y) (/ x y)) 1/8) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (* (/ x y) (/ x y)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ -1 (cos (PI)))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* 1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI))))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (* x (- (* x (- (* -1 (* x (+ (* -1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (+ (* 1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/2 (/ (* (sin (PI)) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))))) (* y (cos (PI))))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* 1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI))))))
#s(approx (/ -1 (cos (- (PI) (* -1/2 (/ x y))))) #s(hole binary64 (/ -1 (cos (PI)))))
#s(approx (/ -1 (cos (- (PI) (* -1/2 (/ x y))))) #s(hole binary64 (- (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))))
#s(approx (/ -1 (cos (- (PI) (* -1/2 (/ x y))))) #s(hole binary64 (- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* 1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI))))))
#s(approx (/ -1 (cos (- (PI) (* -1/2 (/ x y))))) #s(hole binary64 (- (* x (- (* x (- (* -1 (* x (+ (* -1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (+ (* 1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/2 (/ (* (sin (PI)) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))))) (* y (cos (PI))))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* 1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI))))))
#s(approx (cos (- (PI) (* -1/2 (/ x y)))) #s(hole binary64 (cos (PI))))
#s(approx (cos (- (PI) (* -1/2 (/ x y)))) #s(hole binary64 (+ (cos (PI)) (* -1/2 (/ (* x (sin (PI))) y)))))
#s(approx (cos (- (PI) (* -1/2 (/ x y)))) #s(hole binary64 (+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* 1/2 (/ (sin (PI)) y)))))))
#s(approx (cos (- (PI) (* -1/2 (/ x y)))) #s(hole binary64 (+ (cos (PI)) (* x (- (* x (+ (* -1/8 (/ (cos (PI)) (pow y 2))) (* 1/48 (/ (* x (sin (PI))) (pow y 3))))) (* 1/2 (/ (sin (PI)) y)))))))
#s(approx (- (PI) (* -1/2 (/ x y))) #s(hole binary64 (PI)))
#s(approx (- (PI) (* -1/2 (/ x y))) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (* -1/2 (/ x y)) #s(hole binary64 (* -1/2 (/ x y))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 2 (+ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* -2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* 2 (/ 1 (+ 1 (sin (* 1/2 (PI)))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -2 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* 1/3 (/ 1 (* (pow y 2) (+ 1 (sin (* 1/2 (PI))))))) (* 4 (/ (* y (+ (* -1/4 (/ (sin (* 1/2 (PI))) (pow y 3))) (* -1/48 (/ (+ 1 (sin (* 1/2 (PI)))) (pow y 3))))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))))))) (* 2 (/ (cos (* 1/2 (PI))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2)))))) (* 2 (/ 1 (+ 1 (sin (* 1/2 (PI)))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -4 (/ (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (sin (* 1/2 (PI))) (pow y 3))) (* -1/48 (/ (+ 1 (sin (* 1/2 (PI)))) (pow y 3))))) (pow (+ 1 (sin (* 1/2 (PI)))) 3))) (+ (* -1 (/ (* (cos (* 1/2 (PI))) (+ (* -2 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* 1/3 (/ 1 (* (pow y 2) (+ 1 (sin (* 1/2 (PI))))))) (* 4 (/ (* y (+ (* -1/4 (/ (sin (* 1/2 (PI))) (pow y 3))) (* -1/48 (/ (+ 1 (sin (* 1/2 (PI)))) (pow y 3))))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))))) (* y (+ 1 (sin (* 1/2 (PI))))))) (* 4 (/ (* y (+ (* -1/12 (/ (cos (* 1/2 (PI))) (pow y 4))) (* -1/48 (/ (cos (* 1/2 (PI))) (pow y 4))))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))))))) (+ (* -2 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* 1/3 (/ 1 (* (pow y 2) (+ 1 (sin (* 1/2 (PI))))))) (* 4 (/ (* y (+ (* -1/4 (/ (sin (* 1/2 (PI))) (pow y 3))) (* -1/48 (/ (+ 1 (sin (* 1/2 (PI)))) (pow y 3))))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))))))) (* 2 (/ (cos (* 1/2 (PI))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2)))))) (* 2 (/ 1 (+ 1 (sin (* 1/2 (PI)))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (/ x (* y (+ 1 (sin (* 1/2 (PI))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (* x (+ (* -1 (/ (* x (cos (* 1/2 (PI)))) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (/ 1 (* y (+ 1 (sin (* 1/2 (PI))))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (* x (+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* -1/2 (/ (sin (* 1/2 (PI))) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* 1/6 (/ 1 (* (pow y 3) (+ 1 (sin (* 1/2 (PI))))))))))) (/ (cos (* 1/2 (PI))) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 2))))) (/ 1 (* y (+ 1 (sin (* 1/2 (PI))))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (* x (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos (* 1/2 (PI))) (+ (* -1 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* -1/2 (/ (sin (* 1/2 (PI))) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* 1/6 (/ 1 (* (pow y 3) (+ 1 (sin (* 1/2 (PI)))))))))) (* y (+ 1 (sin (* 1/2 (PI))))))) (+ (* -1/6 (/ (cos (* 1/2 (PI))) (* (pow y 4) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))) (* (pow y 4) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))))))) (+ (* -1 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* -1/2 (/ (sin (* 1/2 (PI))) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* 1/6 (/ 1 (* (pow y 3) (+ 1 (sin (* 1/2 (PI))))))))))) (/ (cos (* 1/2 (PI))) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 2))))) (/ 1 (* y (+ 1 (sin (* 1/2 (PI))))))))))
#s(approx (sin (/ x y)) #s(hole binary64 (/ x y)))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (sin (* 1/2 (PI))))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (+ (sin (* 1/2 (PI))) (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (/ (cos (* 1/2 (PI))) y)))))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (+ (sin (* 1/2 (PI))) (* x (+ (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/6 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))) (/ (cos (* 1/2 (PI))) y)))))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (/ (* x (cos (* 1/2 (PI)))) y))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (/ (cos (* 1/2 (PI))) y))))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/6 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))) (/ (cos (* 1/2 (PI))) y))))))
#s(approx (+ (/ x y) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (/ x y) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (/ x y))))
#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 (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* -2 (* (/ x y) (/ (cos (* 1/2 (PI))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (/ 2 (+ 1 (sin (* 1/2 (PI)))))) #s(hole binary64 (/ 2 (+ 1 (sin (* 1/2 (PI)))))))
#s(approx (+ (* -2 (* (/ x y) (/ (cos (* 1/2 (PI))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (/ 2 (+ 1 (sin (* 1/2 (PI)))))) #s(hole binary64 (+ (* -2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* 2 (/ 1 (+ 1 (sin (* 1/2 (PI)))))))))
#s(approx (* (/ x y) (/ (cos (* 1/2 (PI))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))) #s(hole binary64 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 1/2 (/ x y))))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* x (+ (* 1/2 (/ (PI) x)) (* 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 (+ (* (* (/ x y) (/ x y)) 1/8) 1) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2)))))
#s(approx (+ (* (* (/ x y) (/ x y)) 1/8) 1) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ -1 (cos (+ (PI) (* 1/2 (/ x y)))))))
#s(approx (/ -1 (cos (- (PI) (* -1/2 (/ x y))))) #s(hole binary64 (/ -1 (cos (+ (PI) (* 1/2 (/ x y)))))))
#s(approx (cos (- (PI) (* -1/2 (/ x y)))) #s(hole binary64 (cos (+ (PI) (* 1/2 (/ x y))))))
#s(approx (- (PI) (* -1/2 (/ x y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (- (PI) (* -1/2 (/ x y))) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (/ (PI) x)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (sin (+ (* 1/2 (PI)) (/ x y))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (/ (sin (/ x y)) (+ 1 (sin (+ (* 1/2 (PI)) (/ x y)))))))
#s(approx (sin (/ x y)) #s(hole binary64 (sin (/ x y))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (sin (+ (* 1/2 (PI)) (/ x y))))))
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Calls

6 calls:

TimeVariablePointExpression
23.0ms
y
@0
((/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* (/ x y) (/ x y)) 1/8) 1) (* (/ x y) (/ x y)) 1/8 1 (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/ -1 (cos (- (PI) (* -1/2 (/ x y))))) (cos (- (PI) (* -1/2 (/ x y)))) (- (PI) (* -1/2 (/ x y))) (* -1/2 (/ x y)) -1/2 (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (+ (* -2 (* (/ x y) (/ (cos (* 1/2 (PI))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (/ 2 (+ 1 (sin (* 1/2 (PI)))))) -2 (* (/ x y) (/ (cos (* 1/2 (PI))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))) (/ (cos (* 1/2 (PI))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)) (cos (* 1/2 (PI))) (* 1/2 (PI)) (pow (+ 1 (sin (* 1/2 (PI)))) 2) (+ 1 (sin (* 1/2 (PI)))) (sin (* 1/2 (PI))) (/ 2 (+ 1 (sin (* 1/2 (PI))))))
18.0ms
x
@inf
((/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* (/ x y) (/ x y)) 1/8) 1) (* (/ x y) (/ x y)) 1/8 1 (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/ -1 (cos (- (PI) (* -1/2 (/ x y))))) (cos (- (PI) (* -1/2 (/ x y)))) (- (PI) (* -1/2 (/ x y))) (* -1/2 (/ x y)) -1/2 (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (+ (* -2 (* (/ x y) (/ (cos (* 1/2 (PI))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (/ 2 (+ 1 (sin (* 1/2 (PI)))))) -2 (* (/ x y) (/ (cos (* 1/2 (PI))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))) (/ (cos (* 1/2 (PI))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)) (cos (* 1/2 (PI))) (* 1/2 (PI)) (pow (+ 1 (sin (* 1/2 (PI)))) 2) (+ 1 (sin (* 1/2 (PI)))) (sin (* 1/2 (PI))) (/ 2 (+ 1 (sin (* 1/2 (PI))))))
17.0ms
x
@0
((/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* (/ x y) (/ x y)) 1/8) 1) (* (/ x y) (/ x y)) 1/8 1 (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/ -1 (cos (- (PI) (* -1/2 (/ x y))))) (cos (- (PI) (* -1/2 (/ x y)))) (- (PI) (* -1/2 (/ x y))) (* -1/2 (/ x y)) -1/2 (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (+ (* -2 (* (/ x y) (/ (cos (* 1/2 (PI))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (/ 2 (+ 1 (sin (* 1/2 (PI)))))) -2 (* (/ x y) (/ (cos (* 1/2 (PI))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))) (/ (cos (* 1/2 (PI))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)) (cos (* 1/2 (PI))) (* 1/2 (PI)) (pow (+ 1 (sin (* 1/2 (PI)))) 2) (+ 1 (sin (* 1/2 (PI)))) (sin (* 1/2 (PI))) (/ 2 (+ 1 (sin (* 1/2 (PI))))))
7.0ms
x
@-inf
((/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* (/ x y) (/ x y)) 1/8) 1) (* (/ x y) (/ x y)) 1/8 1 (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/ -1 (cos (- (PI) (* -1/2 (/ x y))))) (cos (- (PI) (* -1/2 (/ x y)))) (- (PI) (* -1/2 (/ x y))) (* -1/2 (/ x y)) -1/2 (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (+ (* -2 (* (/ x y) (/ (cos (* 1/2 (PI))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (/ 2 (+ 1 (sin (* 1/2 (PI)))))) -2 (* (/ x y) (/ (cos (* 1/2 (PI))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))) (/ (cos (* 1/2 (PI))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)) (cos (* 1/2 (PI))) (* 1/2 (PI)) (pow (+ 1 (sin (* 1/2 (PI)))) 2) (+ 1 (sin (* 1/2 (PI)))) (sin (* 1/2 (PI))) (/ 2 (+ 1 (sin (* 1/2 (PI))))))
7.0ms
y
@inf
((/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* (/ x y) (/ x y)) 1/8) 1) (* (/ x y) (/ x y)) 1/8 1 (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/ -1 (cos (- (PI) (* -1/2 (/ x y))))) (cos (- (PI) (* -1/2 (/ x y)))) (- (PI) (* -1/2 (/ x y))) (* -1/2 (/ x y)) -1/2 (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (+ (/ x y) (/ (PI) 2))) (+ (/ x y) (/ (PI) 2)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (+ (* -2 (* (/ x y) (/ (cos (* 1/2 (PI))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (/ 2 (+ 1 (sin (* 1/2 (PI)))))) -2 (* (/ x y) (/ (cos (* 1/2 (PI))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))) (/ (cos (* 1/2 (PI))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)) (cos (* 1/2 (PI))) (* 1/2 (PI)) (pow (+ 1 (sin (* 1/2 (PI)))) 2) (+ 1 (sin (* 1/2 (PI)))) (sin (* 1/2 (PI))) (/ 2 (+ 1 (sin (* 1/2 (PI))))))

rewrite339.0ms (7.2%)

Memory
2.5MiB live, 287.2MiB allocated; 133ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134910465
014098887
083578560
Stop Event
iter limit
node limit
iter limit
Counts
216 → 288
Calls
Call 1
Inputs
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (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)))
(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))
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (/.f64 x y))
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
(/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(cos.f64 (-.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(-.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 x y))
#s(literal -1/2 binary64)
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))))
(sin.f64 (/.f64 x y))
(+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))))
(sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))
#s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
#s(literal -2 binary64)
(*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (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 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 35/9216 (/ 1 (pow y 6))) (* 19/7680 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #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 (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #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 (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (cos (* 1/2 (PI))) y)))))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* 1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))))))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#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 (+ (* (* (/ x y) (/ x y)) 1/8) 1) #s(hole binary64 1))
#s(approx (+ (* (* (/ x y) (/ x y)) 1/8) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (* (/ x y) (/ x y)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ -1 (cos (PI)))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* 1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI))))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (* x (- (* x (- (* -1 (* x (+ (* -1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (+ (* 1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/2 (/ (* (sin (PI)) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))))) (* y (cos (PI))))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* 1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI))))))
#s(approx (/ -1 (cos (- (PI) (* -1/2 (/ x y))))) #s(hole binary64 (/ -1 (cos (PI)))))
#s(approx (/ -1 (cos (- (PI) (* -1/2 (/ x y))))) #s(hole binary64 (- (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))))
#s(approx (/ -1 (cos (- (PI) (* -1/2 (/ x y))))) #s(hole binary64 (- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* 1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI))))))
#s(approx (/ -1 (cos (- (PI) (* -1/2 (/ x y))))) #s(hole binary64 (- (* x (- (* x (- (* -1 (* x (+ (* -1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (+ (* 1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/2 (/ (* (sin (PI)) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))))) (* y (cos (PI))))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* 1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI))))))
#s(approx (cos (- (PI) (* -1/2 (/ x y)))) #s(hole binary64 (cos (PI))))
#s(approx (cos (- (PI) (* -1/2 (/ x y)))) #s(hole binary64 (+ (cos (PI)) (* -1/2 (/ (* x (sin (PI))) y)))))
#s(approx (cos (- (PI) (* -1/2 (/ x y)))) #s(hole binary64 (+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* 1/2 (/ (sin (PI)) y)))))))
#s(approx (cos (- (PI) (* -1/2 (/ x y)))) #s(hole binary64 (+ (cos (PI)) (* x (- (* x (+ (* -1/8 (/ (cos (PI)) (pow y 2))) (* 1/48 (/ (* x (sin (PI))) (pow y 3))))) (* 1/2 (/ (sin (PI)) y)))))))
#s(approx (- (PI) (* -1/2 (/ x y))) #s(hole binary64 (PI)))
#s(approx (- (PI) (* -1/2 (/ x y))) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (* -1/2 (/ x y)) #s(hole binary64 (* -1/2 (/ x y))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 2 (+ 1 (sin (* 1/2 (PI)))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* -2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* 2 (/ 1 (+ 1 (sin (* 1/2 (PI)))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -2 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* 1/3 (/ 1 (* (pow y 2) (+ 1 (sin (* 1/2 (PI))))))) (* 4 (/ (* y (+ (* -1/4 (/ (sin (* 1/2 (PI))) (pow y 3))) (* -1/48 (/ (+ 1 (sin (* 1/2 (PI)))) (pow y 3))))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))))))) (* 2 (/ (cos (* 1/2 (PI))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2)))))) (* 2 (/ 1 (+ 1 (sin (* 1/2 (PI)))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -4 (/ (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (sin (* 1/2 (PI))) (pow y 3))) (* -1/48 (/ (+ 1 (sin (* 1/2 (PI)))) (pow y 3))))) (pow (+ 1 (sin (* 1/2 (PI)))) 3))) (+ (* -1 (/ (* (cos (* 1/2 (PI))) (+ (* -2 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* 1/3 (/ 1 (* (pow y 2) (+ 1 (sin (* 1/2 (PI))))))) (* 4 (/ (* y (+ (* -1/4 (/ (sin (* 1/2 (PI))) (pow y 3))) (* -1/48 (/ (+ 1 (sin (* 1/2 (PI)))) (pow y 3))))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))))) (* y (+ 1 (sin (* 1/2 (PI))))))) (* 4 (/ (* y (+ (* -1/12 (/ (cos (* 1/2 (PI))) (pow y 4))) (* -1/48 (/ (cos (* 1/2 (PI))) (pow y 4))))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))))))) (+ (* -2 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* 1/3 (/ 1 (* (pow y 2) (+ 1 (sin (* 1/2 (PI))))))) (* 4 (/ (* y (+ (* -1/4 (/ (sin (* 1/2 (PI))) (pow y 3))) (* -1/48 (/ (+ 1 (sin (* 1/2 (PI)))) (pow y 3))))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))))))) (* 2 (/ (cos (* 1/2 (PI))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2)))))) (* 2 (/ 1 (+ 1 (sin (* 1/2 (PI)))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (/ x (* y (+ 1 (sin (* 1/2 (PI))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (* x (+ (* -1 (/ (* x (cos (* 1/2 (PI)))) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (/ 1 (* y (+ 1 (sin (* 1/2 (PI))))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (* x (+ (* x (- (* -1 (* x (+ (* -1 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* -1/2 (/ (sin (* 1/2 (PI))) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* 1/6 (/ 1 (* (pow y 3) (+ 1 (sin (* 1/2 (PI))))))))))) (/ (cos (* 1/2 (PI))) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 2))))) (/ 1 (* y (+ 1 (sin (* 1/2 (PI))))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (* x (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (cos (* 1/2 (PI))) (+ (* -1 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* -1/2 (/ (sin (* 1/2 (PI))) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* 1/6 (/ 1 (* (pow y 3) (+ 1 (sin (* 1/2 (PI)))))))))) (* y (+ 1 (sin (* 1/2 (PI))))))) (+ (* -1/6 (/ (cos (* 1/2 (PI))) (* (pow y 4) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))) (* (pow y 4) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))))))) (+ (* -1 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* -1/2 (/ (sin (* 1/2 (PI))) (* (pow y 3) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* 1/6 (/ 1 (* (pow y 3) (+ 1 (sin (* 1/2 (PI))))))))))) (/ (cos (* 1/2 (PI))) (* (pow y 2) (pow (+ 1 (sin (* 1/2 (PI)))) 2))))) (/ 1 (* y (+ 1 (sin (* 1/2 (PI))))))))))
#s(approx (sin (/ x y)) #s(hole binary64 (/ x y)))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (sin (* 1/2 (PI))))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (+ (sin (* 1/2 (PI))) (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (/ (cos (* 1/2 (PI))) y)))))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (+ 1 (+ (sin (* 1/2 (PI))) (* x (+ (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/6 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))) (/ (cos (* 1/2 (PI))) y)))))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (/ (* x (cos (* 1/2 (PI)))) y))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (/ (cos (* 1/2 (PI))) y))))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* x (+ (* -1/2 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/6 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))))) (/ (cos (* 1/2 (PI))) y))))))
#s(approx (+ (/ x y) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (/ x y) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (/ x y))))
#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 (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* -2 (* (/ x y) (/ (cos (* 1/2 (PI))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (/ 2 (+ 1 (sin (* 1/2 (PI)))))) #s(hole binary64 (/ 2 (+ 1 (sin (* 1/2 (PI)))))))
#s(approx (+ (* -2 (* (/ x y) (/ (cos (* 1/2 (PI))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (/ 2 (+ 1 (sin (* 1/2 (PI)))))) #s(hole binary64 (+ (* -2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* 2 (/ 1 (+ 1 (sin (* 1/2 (PI)))))))))
#s(approx (* (/ x y) (/ (cos (* 1/2 (PI))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))) #s(hole binary64 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (sin (/ x y)) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y)))))))
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 1/2 (/ x y))))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* x (+ (* 1/2 (/ (PI) x)) (* 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 (+ (* (* (/ x y) (/ x y)) 1/8) 1) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2)))))
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#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))))))))))))
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#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (* -1 (/ (- (+ (* 1/8 (/ (pow x 2) (* y (cos (PI))))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 3))))) (* -1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI))))))
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#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (* -1/3 (/ (pow x 2) (+ 1 (sin (* 1/2 (PI)))))) (+ (* -4 (/ (+ (* 1/48 (* (pow x 3) (+ 1 (sin (* 1/2 (PI)))))) (* 1/4 (* (pow x 3) (sin (* 1/2 (PI)))))) (* x (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* -2 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (+ 1 (sin (* 1/2 (PI)))) 3))))) y)) (* -2 (/ (* x (cos (* 1/2 (PI)))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) y)) (* 2 (/ 1 (+ 1 (sin (* 1/2 (PI)))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -4 (/ (* (cos (* 1/2 (PI))) (+ (* 1/48 (* (pow x 3) (+ 1 (sin (* 1/2 (PI)))))) (* 1/4 (* (pow x 3) (sin (* 1/2 (PI))))))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) (+ (* -4 (/ (+ (* -1/12 (* (pow x 4) (cos (* 1/2 (PI))))) (* -1/48 (* (pow x 4) (cos (* 1/2 (PI)))))) (* x (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2))))) (+ (* -1 (/ (* x (* (cos (* 1/2 (PI))) (- (* -1/3 (/ (pow x 2) (+ 1 (sin (* 1/2 (PI)))))) (+ (* -4 (/ (+ (* 1/48 (* (pow x 3) (+ 1 (sin (* 1/2 (PI)))))) (* 1/4 (* (pow x 3) (sin (* 1/2 (PI)))))) (* x (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* -2 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (+ 1 (sin (* 1/2 (PI)))) 3))))))) (* y (+ 1 (sin (* 1/2 (PI))))))) (* -1/3 (/ (pow x 2) (+ 1 (sin (* 1/2 (PI))))))))) (+ (* -4 (/ (+ (* 1/48 (* (pow x 3) (+ 1 (sin (* 1/2 (PI)))))) (* 1/4 (* (pow x 3) (sin (* 1/2 (PI)))))) (* x (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* -2 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (+ 1 (sin (* 1/2 (PI)))) 3))))) y)) (* -2 (/ (* x (cos (* 1/2 (PI)))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) y)) (* 2 (/ 1 (+ 1 (sin (* 1/2 (PI)))))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ x (+ 1 (sin (* 1/2 (PI)))))) (/ (* (pow x 2) (cos (* 1/2 (PI)))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) y))))
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#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ x (+ 1 (sin (* 1/2 (PI)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (* (cos (* 1/2 (PI))) (- (* 1/6 (/ (pow x 3) (+ 1 (sin (* 1/2 (PI)))))) (+ (* 1/2 (/ (* (pow x 3) (sin (* 1/2 (PI)))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))) (/ (* (pow x 3) (pow (cos (* 1/2 (PI))) 2)) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))))) (* y (+ 1 (sin (* 1/2 (PI))))))) (+ (* -1/6 (/ (* (pow x 4) (cos (* 1/2 (PI)))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (+ (* 1/6 (/ (pow x 3) (+ 1 (sin (* 1/2 (PI)))))) (* 1/2 (/ (* (pow x 4) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI))))) (* y (pow (+ 1 (sin (* 1/2 (PI)))) 3))))))) (+ (* 1/2 (/ (* (pow x 3) (sin (* 1/2 (PI)))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))) (/ (* (pow x 3) (pow (cos (* 1/2 (PI))) 2)) (pow (+ 1 (sin (* 1/2 (PI)))) 3)))) y)) (/ (* (pow x 2) (cos (* 1/2 (PI)))) (pow (+ 1 (sin (* 1/2 (PI)))) 2))) y))) y))))
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#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (* x (cos (* 1/2 (PI))))) (* 1/2 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y))) y)))))
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Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
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(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
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#s(literal 1/8 binary64)
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#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))))
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#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))
#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.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 y #s(literal -2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.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 y #s(literal -4 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)))
#s(approx (+ (* (* (/ x y) (/ x y)) 1/8) 1) #s(literal 1 binary64))
#s(approx (+ (* (* (/ x y) (/ x y)) 1/8) 1) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (* (/ x y) (/ x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) #s(literal 0 binary64))) #s(literal -1 binary64)))
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#s(approx (/ -1 (cos (- (PI) (* -1/2 (/ x y))))) #s(literal 1 binary64))
#s(approx (/ -1 (cos (- (PI) (* -1/2 (/ x y))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) #s(literal 0 binary64))) #s(literal -1 binary64)))
#s(approx (/ -1 (cos (- (PI) (* -1/2 (/ x y))))) (-.f64 (*.f64 x (-.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal -1 binary64))))) (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1 binary64))))) #s(literal -1 binary64)))
#s(approx (/ -1 (cos (- (PI) (* -1/2 (/ x y))))) (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 (neg.f64 x) (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal -1 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal -1 binary64)))))) (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1 binary64))))) #s(literal -1 binary64)))
#s(approx (cos (- (PI) (* -1/2 (/ x y)))) #s(literal -1 binary64))
#s(approx (cos (- (PI) (* -1/2 (/ x y)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal 0 binary64)) y) #s(literal -1 binary64)))
#s(approx (cos (- (PI) (* -1/2 (/ x y)))) (fma.f64 x (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal -1 binary64))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))
#s(approx (cos (- (PI) (* -1/2 (/ x y)))) (fma.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/48 binary64) (*.f64 x (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal -2 binary64))))) (/.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))
#s(approx (- (PI) (* -1/2 (/ x y))) (PI.f64))
#s(approx (- (PI) (* -1/2 (/ x y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))
#s(approx (* -1/2 (/ x y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 x (fma.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))))) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 x (fma.f64 x (-.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64)))))) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -5/48 binary64)) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))))))) (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y (/.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64))))))) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (/.f64 (/.f64 x y) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (*.f64 y (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (*.f64 x (fma.f64 x (-.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64))))))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 y (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64))))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (*.f64 x (fma.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 3 binary64))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (*.f64 y (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))))))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (*.f64 y (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64))))))
#s(approx (sin (/ x y)) (/.f64 x y))
#s(approx (sin (/ x y)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64)))))
#s(approx (sin (/ x y)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal -3 binary64)))) (pow.f64 y #s(literal -1 binary64)))))
#s(approx (sin (/ x y)) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal -5 binary64)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal -3 binary64)))) (pow.f64 y #s(literal -1 binary64)))))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 (fma.f64 x (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1 binary64)))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 y y))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1 binary64)))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 y y)))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1 binary64)))
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#s(approx (cos (- (PI) (* -1/2 (/ x y)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) y) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1 binary64)))) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64)))) y) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64))) (fma.f64 #s(literal -4 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) x) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 3 binary64)))))) y) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) y) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -5/48 binary64)) x) (*.f64 y (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64))) (fma.f64 #s(literal -4 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) x) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 3 binary64))))))) (*.f64 y (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))))))) (fma.f64 #s(literal -4 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) x) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 3 binary64)))))) y) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) y) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (neg.f64 x) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))) y)))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64))))) y)) (/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) y) (/.f64 (neg.f64 x) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))) y)))
#s(approx (/ (sin (/ x y)) (+ 1 (sin (+ (/ x y) (/ (PI) 2))))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 y (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))) (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 y (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 3 binary64)))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64)))))) y)) (/.f64 (*.f64 (*.f64 x x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) y) (/.f64 (neg.f64 x) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (neg.f64 x)) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.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 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) y)))
#s(approx (sin (/ x y)) (neg.f64 (/.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 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) y)))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y) (*.f64 (neg.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) y) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1 binary64)))
#s(approx (+ 1 (sin (+ (/ x y) (/ (PI) 2)))) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) y))) y) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 1 binary64)))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y) (*.f64 (neg.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) y) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) y))) y) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) x)) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.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 (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) y)))
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.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 (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) y)))

eval56.0ms (1.2%)

Memory
4.2MiB live, 93.5MiB allocated; 13ms collecting garbage
Compiler

Compiled 17 425 to 1 800 computations (89.7% saved)

prune58.0ms (1.2%)

Memory
13.4MiB live, 76.6MiB allocated; 37ms collecting garbage
Pruning

28 alts after pruning (23 fresh and 5 done)

PrunedKeptTotal
New33212344
Fresh21113
Picked325
Done033
Total33728365
Accuracy
65.3%
Counts
365 → 28
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)))))
5.8%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
11.5%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))) (*.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.9%
(/.f64 (/.f64 (sin.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 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.4%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
11.5%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.5%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (pow.f64 y #s(literal -1 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.0%
(/.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)))))
46.2%
(/.f64 (/.f64 #s(approx (neg (sin (/ (/ x y) 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
47.1%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
41.4%
(/.f64 #s(approx (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (*.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 x (*.f64 y y)) #s(literal 0 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1 binary64)))))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
60.5%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))))) #s(literal -1 binary64)))
6.7%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
60.4%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64)))
46.7%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))))
60.3%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
2.8%
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(approx (+ (* -2 (* (/ x y) (/ (cos (* 1/2 (PI))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (/ 2 (+ 1 (sin (* 1/2 (PI)))))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 y (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))
59.6%
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
59.5%
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))))
57.6%
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))))))
59.9%
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (- (PI) (* -1/2 (/ x y))) (*.f64 x (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)))))))
3.6%
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (- (PI) (* -1/2 (/ x y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
55.0%
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (- (PI) (* -1/2 (/ x y)))) (fma.f64 x (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal -1 binary64))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))))
54.0%
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (- (PI) (* -1/2 (/ x y)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64)))) y) #s(literal -1 binary64)))))
56.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
54.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
60.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 2 550 to 940 computations (63.1% saved)

regimes93.0ms (2%)

Memory
-18.7MiB live, 120.6MiB allocated; 15ms collecting garbage
Counts
49 → 2
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (- (PI) (* -1/2 (/ x y)))) (fma.f64 x (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal -1 binary64))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 y y))) (*.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal -7/24 binary64))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (- (PI) (* -1/2 (/ x y)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64)))) y) #s(literal -1 binary64)))))
(/.f64 #s(approx (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (*.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 x (*.f64 y y)) #s(literal 0 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1 binary64)))))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (- (PI) (* -1/2 (/ x y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (cos (* (/ x y) 1/2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))) #s(literal -1 binary64)))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (- (PI) (* -1/2 (/ x y))) (*.f64 x (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)))))))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(approx (neg (sin (/ (/ x y) 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (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 (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))))) #s(literal -1 binary64)))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (+.f64 y y))))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x)))
(/.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)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) #s(approx (+ (* -2 (* (/ x y) (/ (cos (* 1/2 (PI))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (/ 2 (+ 1 (sin (* 1/2 (PI)))))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 y (pow.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1 binary64)) #s(literal 2 binary64))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (+.f64 y 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 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))))) (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 (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 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.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 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (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)))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (pow.f64 y #s(literal -1 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (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 (sin.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 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.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 (+.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y))) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))) (*.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Outputs
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

5 calls:

26.0ms
(*.f64 y #s(literal 2 binary64))
22.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
17.0ms
y
12.0ms
x
11.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
60.5%1(*.f64 y #s(literal 2 binary64))
62.2%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
62.5%2(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
60.5%1x
60.5%1y
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes7.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated; 0ms collecting garbage
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (- (PI) (* -1/2 (/ x y)))) (fma.f64 x (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal -1 binary64))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 y y))) (*.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal -7/24 binary64))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (- (PI) (* -1/2 (/ x y)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64)))) y) #s(literal -1 binary64)))))
(/.f64 #s(approx (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (*.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 x (*.f64 y y)) #s(literal 0 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1 binary64)))))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (- (PI) (* -1/2 (/ x y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (cos (* (/ x y) 1/2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))) #s(literal -1 binary64)))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (- (PI) (* -1/2 (/ x y))) (*.f64 x (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)))))))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(approx (neg (sin (/ (/ x y) 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (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)))
Outputs
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

1 calls:

6.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
62.4%2(/.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)

regimes15.0ms (0.3%)

Memory
-24.3MiB live, 28.8MiB allocated; 6ms collecting garbage
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (- (PI) (* -1/2 (/ x y)))) (fma.f64 x (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal -1 binary64))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 y y))) (*.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal -7/24 binary64))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (- (PI) (* -1/2 (/ x y)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64)))) y) #s(literal -1 binary64)))))
(/.f64 #s(approx (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (*.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 x (*.f64 y y)) #s(literal 0 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1 binary64)))))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (- (PI) (* -1/2 (/ x y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (cos (* (/ x y) 1/2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))) #s(literal -1 binary64)))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (- (PI) (* -1/2 (/ x y))) (*.f64 x (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)))))))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(approx (neg (sin (/ (/ x y) 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

2 calls:

6.0ms
(/.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
62.1%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
62.1%2(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (- (PI) (* -1/2 (/ x y)))) (fma.f64 x (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal -1 binary64))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 y y))) (*.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal -7/24 binary64))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (- (PI) (* -1/2 (/ x y)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64)))) y) #s(literal -1 binary64)))))
(/.f64 #s(approx (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (*.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 x (*.f64 y y)) #s(literal 0 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1 binary64)))))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (- (PI) (* -1/2 (/ x y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (cos (* (/ x y) 1/2)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))) #s(literal -1 binary64)))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (- (PI) (* -1/2 (/ x y))) (*.f64 x (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)))))))
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(approx (neg (sin (/ (/ x y) 2))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
Outputs
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

1 calls:

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
62.1%2(/.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)

regimes16.0ms (0.3%)

Memory
10.4MiB live, 57.2MiB allocated; 1ms collecting garbage
Accuracy

Total -38.3b remaining (-151.2%)

Threshold costs -38.3b (-151.2%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (- (PI) (* -1/2 (/ x y)))) (fma.f64 x (-.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x #s(literal -1 binary64))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))))
#s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 y y))) (*.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal -7/24 binary64))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (- (PI) (* -1/2 (/ x y)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 0 binary64)))) y) #s(literal -1 binary64)))))
(/.f64 #s(approx (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (*.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 x (*.f64 y y)) #s(literal 0 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1 binary64)))))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
#s(approx (/ (/ (neg (sin (/ (/ x y) 2))) (cos (+ (/ (/ x y) 2) (PI)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (- (PI) (* -1/2 (/ x y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

5 calls:

4.0ms
y
3.0ms
(*.f64 y #s(literal 2 binary64))
3.0ms
x
3.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
3.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
60.5%1x
60.5%1(*.f64 y #s(literal 2 binary64))
60.5%1y
60.5%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
60.5%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)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
10.40974477614316
10.569896627492664
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
10.40974477614316
10.569896627492664
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.813922283008801
6.619888965104362
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.813922283008801
6.619888965104362
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify59.0ms (1.3%)

Memory
-9.8MiB live, 84.7MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057254
178254
2113254
3205254
4660254
54863254
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 21/2 binary64)) #s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))))) #s(literal -1 binary64))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 21/2 binary64)) #s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64)) #s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 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)))) #s(literal 1 binary64))
Outputs
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 21/2 binary64)) #s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))))) #s(literal -1 binary64))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 21/2 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y))))) #s(literal -1 binary64))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 21/2 binary64)) #s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 21/2 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64)) #s(approx (/ (/ (sin (/ x y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 5 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 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)))) #s(literal 1 binary64))

derivations159.0ms (3.4%)

Memory
-8.1MiB live, 317.5MiB allocated; 28ms collecting garbage
Stop Event
fuel
Compiler

Compiled 254 to 54 computations (78.7% saved)

preprocess94.0ms (2%)

Memory
-24.2MiB live, 103.0MiB allocated; 79ms collecting garbage
Compiler

Compiled 870 to 304 computations (65.1% saved)

end0.0ms (0%)

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

Profiling

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