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

Time bar (total: 4.4s)

start0.0ms (0%)

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

analyze247.0ms (5.6%)

Memory
4.8MiB live, 286.7MiB allocated; 39ms 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)

sample1.8s (40.6%)

Memory
77.9MiB live, 2 060.3MiB allocated; 655ms collecting garbage
Samples
963.0ms4 032×1valid
397.0ms4 224×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-tan: 321.0ms (30.5% of total)
ival-div: 272.0ms (25.9% of total)
ival-sin: 259.0ms (24.6% of total)
ival-mult: 117.0ms (11.1% of total)
adjust: 72.0ms (6.9% of total)
exact: 7.0ms (0.7% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain235.0ms (5.3%)

Memory
-27.5MiB live, 257.5MiB allocated; 29ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1160-0-(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
1160-0-(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
380-0-(/.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))))sensitivity870
tan.f64(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))sensitivity870
/.f64(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))u/u380
(/.f64 x (*.f64 y #s(literal 2 binary64)))underflow38
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))underflow38
(/.f64 x (*.f64 y #s(literal 2 binary64)))underflow38
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))underflow38
sin.f64(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))oflow-rescue290
(/.f64 x (*.f64 y #s(literal 2 binary64)))overflow29
tan.f64(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))oflow-rescue290
(/.f64 x (*.f64 y #s(literal 2 binary64)))overflow29
Confusion
Predicted +Predicted -
+1530
-1102
Precision
0.9935064935064936
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+15300
-10102
Precision?
0.9935064935064936
Recall?
1.0
Freqs
test
numberfreq
0102
138
2116
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
90.0ms230×1valid
70.0ms282×0valid
Compiler

Compiled 89 to 28 computations (68.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-mult: 51.0ms (39.4% of total)
adjust: 44.0ms (34% of total)
ival-sin: 12.0ms (9.3% of total)
ival-tan: 11.0ms (8.5% of total)
ival-div: 10.0ms (7.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess177.0ms (4%)

Memory
42.2MiB live, 222.6MiB allocated; 36ms 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
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.2%
(/.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)

series85.0ms (1.9%)

Memory
-17.4MiB live, 38.7MiB allocated; 19ms 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
68.0ms
x
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
6.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
4.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
3.0ms
x
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))
2.0ms
x
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2))))

rewrite228.0ms (5.2%)

Memory
-29.6MiB live, 207.1MiB allocated; 56ms 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)))

eval9.0ms (0.2%)

Memory
10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 487 to 417 computations (83.2% saved)

prune10.0ms (0.2%)

Memory
16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New571370
Fresh000
Picked101
Done000
Total581371
Accuracy
63.9%
Counts
71 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.4%
(/.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)))))
6.2%
(/.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)))))
44.0%
(/.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)))))
44.4%
(/.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)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.2%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
29.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #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)))
31.2%
(/.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)))
40.7%
(/.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))))
6.1%
(/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.2%
(/.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)))))
48.9%
#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)))
59.0%
#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)))
59.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 540 to 384 computations (28.9% saved)

series62.0ms (1.4%)

Memory
-16.0MiB live, 71.7MiB allocated; 12ms collecting garbage
Counts
36 → 124
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)
#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)))
(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)
#s(literal 1/2 binary64)
#s(literal -1 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)))
(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 (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 (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)
(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))
#s(literal -1/48 binary64)
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64)))
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 1/2 binary64) y)
(/.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 #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))
(sin.f64 (/.f64 x y))
(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 (+ (* (/ (* 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 (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 (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 (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))
#s(approx (/ (* x x) (pow y 3)) #s(hole binary64 (/ (pow x 2) (pow y 3))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ 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 (/ (/ (- 1 (cos (/ x y))) (sin (/ 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) (- (* 25/9216 (/ 1 (pow y 6))) (* 1/720 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ 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 (/ (- 1 (cos (/ x y))) (sin (/ 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 (- 1 (cos (/ x y))) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow y 2)))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* (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 (* (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 (- 1 (cos (/ x y))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/40320 (/ (pow x 2) (pow y 8))) (* 1/720 (/ 1 (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 (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 (/ (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 (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (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 (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* -1/48 (/ (pow x 3) (pow y 3)))))
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))))
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (* -1/48 (/ (pow x 2) (pow y 3)))))
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (- 1 (cos (/ x y))) (* (sin (* 1/2 (/ x y))) (sin (/ x y))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (/ (- 1 (cos (/ x y))) (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 (sin (/ x y)) #s(hole binary64 (sin (/ x y))))
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) 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 (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3))))
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (/ (+ (* -1/48 (pow x 2)) (* 1/2 (pow y 2))) (pow y 3))))
#s(approx (pow y 3) #s(hole binary64 (pow y 3)))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 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 (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (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 (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (/ (+ 1/2 (* -1/48 (/ (pow x 2) (pow y 2)))) y)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1/12 (/ (pow x 2) (pow y 2)))) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (* (pow x 2) (pow y 2)))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/12 (/ (pow x 2) (pow y 2))) (* 1/360 (/ (pow x 4) (pow y 4))))) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 4)))) (+ (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (* (pow x 2) (pow y 2)))) (* 2 (/ (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (* (pow x 2) (pow y 4)))))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/12 (/ (pow x 2) (pow y 2))) (+ (* -1/20160 (/ (pow x 6) (pow y 6))) (* 1/360 (/ (pow x 4) (pow y 4)))))) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 4)))) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* 1/360 (pow x 4)) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (pow x 2))) (* 2 (/ (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (pow x 2)))))) (* (pow x 2) (pow y 6)))) (+ (* 2 (/ (* (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 6)))) (+ (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (* (pow x 2) (pow y 2)))) (+ (* 2 (/ (+ (* -1/5760 (pow x 8)) (+ (* -1/10080 (pow x 8)) (+ (* -1/23040 (pow x 8)) (* -1/645120 (pow x 8))))) (* (pow x 2) (pow y 6)))) (* 2 (/ (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (* (pow x 2) (pow y 4))))))))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/12 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* 1/720 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 4))) (+ (* -1/12 (/ (pow x 3) (pow y 2))) (* 1/240 (/ (pow x 5) (pow y 4)))))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* -1/40320 (/ (pow x 7) (pow y 6))) (+ (* 1/720 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 4))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3))))) (* 1/240 (pow x 5))))) (pow y 6))) (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* -1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/120 (/ (* (pow x 4) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 6))))))))) y)))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (/ (- (* -1/24 (/ (pow x 4) (pow y 2))) (* -1/2 (pow x 2))) (pow y 2))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (/ (- (* 1/720 (/ (pow x 6) (pow y 4))) (+ (* -1/2 (pow x 2)) (* 1/24 (/ (pow x 4) (pow y 2))))) (pow y 2))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (/ (- (* -1/40320 (/ (pow x 8) (pow y 6))) (+ (* -1/2 (pow x 2)) (+ (* -1/720 (/ (pow x 6) (pow y 4))) (* 1/24 (/ (pow x 4) (pow y 2)))))) (pow y 2))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) 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))))
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow y 2))) 1/2) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/24 (/ (pow x 3) (pow y 2)))) (* 1/12 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (* 1/24 (/ (pow x 3) (pow y 2))))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (+ (* 1/40320 (/ (pow x 7) (pow y 6))) (* 1/24 (/ (pow x 3) (pow y 2)))))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3))))) (* -1/240 (pow x 5))))) (pow y 6))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/120 (/ (* (pow x 4) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 6))) (* 1/12 (/ (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
9.0ms
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)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) -1/48 (/ (* x x) (pow y 3)) (pow y 3) 3 (/ 1/2 y) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)) (sin (/ x (* y 2))))
9.0ms
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)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) -1/48 (/ (* x x) (pow y 3)) (pow y 3) 3 (/ 1/2 y) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)) (sin (/ x (* y 2))))
8.0ms
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)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) -1/48 (/ (* x x) (pow y 3)) (pow y 3) 3 (/ 1/2 y) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)) (sin (/ x (* y 2))))
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)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) -1/48 (/ (* x x) (pow y 3)) (pow y 3) 3 (/ 1/2 y) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)) (sin (/ x (* y 2))))
6.0ms
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)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) -1/48 (/ (* x x) (pow y 3)) (pow y 3) 3 (/ 1/2 y) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (- 1 (cos (/ x y))) (cos (/ x y)) (sin (/ x y)) (sin (/ x (* y 2))))

rewrite209.0ms (4.7%)

Memory
10.5MiB live, 200.7MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08495580
08904935
154104861
081364646
Stop Event
iter limit
node limit
iter limit
Counts
160 → 274
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)
#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)))
(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)
#s(literal 1/2 binary64)
#s(literal -1 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)))
(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 (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 (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)
(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))
#s(literal -1/48 binary64)
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64)))
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal 1/2 binary64) y)
(/.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 #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))
(sin.f64 (/.f64 x y))
(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 (+ (* (/ (* 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 (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 (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 (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))
#s(approx (/ (* x x) (pow y 3)) #s(hole binary64 (/ (pow x 2) (pow y 3))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 1))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ 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 (/ (/ (- 1 (cos (/ x y))) (sin (/ 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) (- (* 25/9216 (/ 1 (pow y 6))) (* 1/720 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ 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 (/ (- 1 (cos (/ x y))) (sin (/ 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 (- 1 (cos (/ x y))) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow y 2)))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* (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 (* (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 (- 1 (cos (/ x y))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/40320 (/ (pow x 2) (pow y 8))) (* 1/720 (/ 1 (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 (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 (/ (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 (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (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 (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* -1/48 (/ (pow x 3) (pow y 3)))))
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))))
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (* -1/48 (/ (pow x 2) (pow y 3)))))
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (- 1 (cos (/ x y))) (* (sin (* 1/2 (/ x y))) (sin (/ x y))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (/ (- 1 (cos (/ x y))) (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 (sin (/ x y)) #s(hole binary64 (sin (/ x y))))
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) 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 (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3))))
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (/ (+ (* -1/48 (pow x 2)) (* 1/2 (pow y 2))) (pow y 3))))
#s(approx (pow y 3) #s(hole binary64 (pow y 3)))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 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 (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (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 (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (/ (+ 1/2 (* -1/48 (/ (pow x 2) (pow y 2)))) y)))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1/12 (/ (pow x 2) (pow y 2)))) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (* (pow x 2) (pow y 2)))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/12 (/ (pow x 2) (pow y 2))) (* 1/360 (/ (pow x 4) (pow y 4))))) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 4)))) (+ (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (* (pow x 2) (pow y 2)))) (* 2 (/ (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (* (pow x 2) (pow y 4)))))))))
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* -1/12 (/ (pow x 2) (pow y 2))) (+ (* -1/20160 (/ (pow x 6) (pow y 6))) (* 1/360 (/ (pow x 4) (pow y 4)))))) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 4)))) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* 1/360 (pow x 4)) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (pow x 2))) (* 2 (/ (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (pow x 2)))))) (* (pow x 2) (pow y 6)))) (+ (* 2 (/ (* (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 6)))) (+ (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (* (pow x 2) (pow y 2)))) (+ (* 2 (/ (+ (* -1/5760 (pow x 8)) (+ (* -1/10080 (pow x 8)) (+ (* -1/23040 (pow x 8)) (* -1/645120 (pow x 8))))) (* (pow x 2) (pow y 6)))) (* 2 (/ (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (* (pow x 2) (pow y 4))))))))))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/12 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* 1/720 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 4))) (+ (* -1/12 (/ (pow x 3) (pow y 2))) (* 1/240 (/ (pow x 5) (pow y 4)))))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* -1/40320 (/ (pow x 7) (pow y 6))) (+ (* 1/720 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 4))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3))))) (* 1/240 (pow x 5))))) (pow y 6))) (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* -1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/120 (/ (* (pow x 4) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 6))))))))) y)))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (/ (- (* -1/24 (/ (pow x 4) (pow y 2))) (* -1/2 (pow x 2))) (pow y 2))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (/ (- (* 1/720 (/ (pow x 6) (pow y 4))) (+ (* -1/2 (pow x 2)) (* 1/24 (/ (pow x 4) (pow y 2))))) (pow y 2))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (/ (- (* -1/40320 (/ (pow x 8) (pow y 6))) (+ (* -1/2 (pow x 2)) (+ (* -1/720 (/ (pow x 6) (pow y 4))) (* 1/24 (/ (pow x 4) (pow y 2)))))) (pow y 2))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))))
#s(approx (cos (/ x y)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)))
#s(approx (sin (/ x y)) #s(hole binary64 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) 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))))
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow y 2))) 1/2) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/24 (/ (pow x 3) (pow y 2)))) (* 1/12 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (* 1/24 (/ (pow x 3) (pow y 2))))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2)))))) y))))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (+ (* 1/40320 (/ (pow x 7) (pow y 6))) (* 1/24 (/ (pow x 3) (pow y 2)))))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3))))) (* -1/240 (pow x 5))))) (pow y 6))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/120 (/ (* (pow x 4) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 6))) (* 1/12 (/ (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 (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ 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))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 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))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (pow.f64 x #s(literal 1 binary64)) #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 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) y)
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 (pow.f64 y #s(literal 1 binary64)) #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
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#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/720 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 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 -1/6 binary64) (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))))) y)))
#s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/720 binary64) (fma.f64 #s(literal 1/40320 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 1/24 binary64)) (*.f64 y y))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/720 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/6 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 -1/6 binary64) (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))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (*.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 1/120 binary64)))))))) 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)))

eval51.0ms (1.1%)

Memory
10.3MiB live, 64.9MiB allocated; 9ms collecting garbage
Compiler

Compiled 11 244 to 1 526 computations (86.4% saved)

prune21.0ms (0.5%)

Memory
5.8MiB live, 51.3MiB allocated; 5ms collecting garbage
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New30414318
Fresh358
Picked325
Done000
Total31021331
Accuracy
64.5%
Counts
331 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.4%
(/.f64 (/.f64 (/.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 y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.4%
(/.f64 (/.f64 (/.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 y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
6.2%
(/.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)))))
44.0%
(/.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)))))
44.4%
(/.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)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
5.8%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
44.2%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.1%
(/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
31.0%
(/.f64 #s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (*.f64 (fma.f64 (*.f64 x (/.f64 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 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)))
48.9%
#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)))
55.8%
#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)))
56.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
58.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
59.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
56.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
59.0%
#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)))))
59.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
59.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 969 to 649 computations (33% saved)

series155.0ms (3.5%)

Memory
11.6MiB live, 99.8MiB allocated; 13ms collecting garbage
Counts
37 → 168
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(neg.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)
(/.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 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(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)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
#s(literal -1/2 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.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)))
(sin.f64 (/.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))
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 (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (pow (sin (+ (neg (* (/ 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 (+ (neg (* (/ 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 (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -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)))))) (+ (* -1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))))))) (* 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 (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))))))))
#s(approx (sin (+ (neg (* (/ 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 (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (+ (* -1/2 (/ x y)) (* 1/2 (PI)))))
#s(approx (neg (* (/ x y) 1/2)) #s(hole binary64 (* -1/2 (/ x 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 x #s(hole binary64 x))
#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 (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 (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) #s(hole binary64 1))
#s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 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 (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 1))
#s(approx (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 (+ 1 (* 1/16 (/ (pow x 2) (pow y 2))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 7/1536 (/ (pow x 2) (pow y 4))) (* 1/16 (/ 1 (pow y 2))))))))
#s(approx (pow (cos (* (/ x y) 1/2)) -1/2) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 139/368640 (/ (pow x 2) (pow y 6))) (* 7/1536 (/ 1 (pow y 4))))) (* 1/16 (/ 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 (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (* 2 (/ (* (pow y 2) (- 1 (sin (* 1/2 (PI))))) (pow x 2)))))
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Calls

6 calls:

TimeVariablePointExpression
75.0ms
x
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (neg (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ 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 (/ (tan (/ x (* y 2))) (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)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) (pow (cos (* (/ x y) 1/2)) -1/2) (cos (* (/ x y) 1/2)) -1/2 (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 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)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
50.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (neg (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ 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 (/ (tan (/ x (* y 2))) (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)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) (pow (cos (* (/ x y) 1/2)) -1/2) (cos (* (/ x y) 1/2)) -1/2 (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 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)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
8.0ms
x
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (neg (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ 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 (/ (tan (/ x (* y 2))) (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)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) (pow (cos (* (/ x y) 1/2)) -1/2) (cos (* (/ x y) 1/2)) -1/2 (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 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)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
6.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (neg (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ 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 (/ (tan (/ x (* y 2))) (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)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) (pow (cos (* (/ x y) 1/2)) -1/2) (cos (* (/ x y) 1/2)) -1/2 (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 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)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
6.0ms
x
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (neg (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ 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 (/ (tan (/ x (* y 2))) (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)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) (pow (cos (* (/ x y) 1/2)) -1/2) (cos (* (/ x y) 1/2)) -1/2 (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 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)) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))

rewrite283.0ms (6.4%)

Memory
-14.3MiB live, 280.3MiB allocated; 63ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011417886
011936933
173516808
091356554
Stop Event
iter limit
node limit
iter limit
Counts
205 → 336
Calls
Call 1
Inputs
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(pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64))
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(/.f64 x y)
x
y
#s(literal 1/2 binary64)
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#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (* (pow y 2) (+ (* -2 (/ (cos (* 1/2 (PI))) (* x y))) (* 2 (/ (- 1 (sin (* 1/2 (PI)))) (pow x 2)))))))
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#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* y (pow (sin (* 1/2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (* 1/2 (PI))))))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))))
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#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y)))))
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#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* y (pow (sin (* 1/2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (* 1/2 (PI))))))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI)))))))
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#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1/2 (* x (cos (* 1/2 (PI))))) (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y))) y)))))
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (* 1/2 (PI))))) (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* -1/2 (* x (cos (* 1/2 (PI)))))) y)))))
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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)))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (* x (cos (* 1/2 (PI))))) (* -1 (/ (+ (* -1/2 (* (pow x 2) (sin (* 1/2 (PI))))) (* -1/6 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y))) y)))))
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#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))))
Outputs
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 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(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 x x)) #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/48 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64))) y))) y))) (*.f64 y y)))
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#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)))

eval117.0ms (2.6%)

Memory
-10.8MiB live, 117.7MiB allocated; 54ms collecting garbage
Compiler

Compiled 13 540 to 1 746 computations (87.1% saved)

prune46.0ms (1%)

Memory
11.5MiB live, 99.0MiB allocated; 26ms collecting garbage
Pruning

31 alts after pruning (27 fresh and 4 done)

PrunedKeptTotal
New32618344
Fresh5914
Picked325
Done022
Total33431365
Accuracy
64.6%
Counts
365 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.4%
(/.f64 (/.f64 (/.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 y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.4%
(/.f64 (/.f64 (/.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 y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
5.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
6.2%
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.6%
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.3%
(/.f64 (-.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
5.8%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
44.2%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.1%
(/.f64 (tan.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
31.0%
(/.f64 #s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (*.f64 (fma.f64 (*.f64 x (/.f64 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 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)))
6.1%
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x y))))
1.0%
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 x x)) #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/48 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64))) y))) y))) (*.f64 y y)))
1.5%
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (*.f64 (*.f64 (*.f64 y y) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 x x))) #s(literal 2 binary64)))
48.9%
#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)))
55.8%
#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)))
56.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
56.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal -1 binary64)))
59.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)))
5.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
58.9%
#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)))
4.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
59.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)))
56.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (pow (cos (* (/ x y) 1/2)) -1/2) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)))
56.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (cos (* (/ x y) 1/2)) (fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal -1/2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
59.0%
#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)))))
59.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
55.7%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) (fma.f64 (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
59.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 1 863 to 1 220 computations (34.5% saved)

series66.0ms (1.5%)

Memory
-8.0MiB live, 94.2MiB allocated; 40ms collecting garbage
Counts
44 → 224
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))
#s(literal -1 binary64)
(cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(PI.f64)
#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)))))
(/.f64 #s(literal 1 binary64) (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))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)))
(pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64))
(sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x))
(*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)
(-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64))
(/.f64 (PI.f64) x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
(-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(cos.f64 (/.f64 x y))
(*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))
(sin.f64 (/.f64 x y))
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x)))) (sin.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x))))
(sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x)))
#s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x))
(*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x)
(fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 y #s(literal -1 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 (/ (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 (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (/ -1 (cos (PI)))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (- (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #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 (+ (* (/ x y) 1/2) (PI)))) #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 (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (cos (PI))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (+ (cos (PI)) (* -1/2 (/ (* x (sin (PI))) y)))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* 1/2 (/ (sin (PI)) y)))))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #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 (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (PI)))
#s(approx (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (+ (PI) (* 1/2 (/ x y)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 1))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #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 (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 (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (* 1/2 (PI))))))
#s(approx (pow (sin (+ (neg (* (/ 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 (+ (neg (* (/ 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 (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -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)))))) (+ (* -1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))))))) (* 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 (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))
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#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
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#s(approx (* (- (* (/ (PI) x) 1/2) (/ 1/2 y)) x) #s(hole binary64 (* 1/2 (PI))))
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#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow y 2)))))
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#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/40320 (/ (pow x 2) (pow y 8))) (* 1/720 (/ 1 (pow y 6))))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))))
#s(approx (cos (/ x y)) #s(hole binary64 1))
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#s(approx (sin (/ x y)) #s(hole binary64 (/ x y)))
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#s(approx (sin (/ x (* 2 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 (/ x (* 2 y)) #s(hole binary64 (* 1/2 (/ x y))))
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#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* -2 (* x (* y (cos (* 1/2 (PI)))))) (* 2 (* (pow y 2) (- 1 (sin (* 1/2 (PI))))))) (pow x 2))))
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* (pow y 2) (- 1 (sin (* 1/2 (PI)))))) (* x (+ (* -2 (* y (cos (* 1/2 (PI))))) (* x (- (sin (* 1/2 (PI))) (* -5/12 (- 1 (sin (* 1/2 (PI)))))))))) (pow x 2))))
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (+ (* 2 (* (pow y 2) (- 1 (sin (* 1/2 (PI)))))) (* x (+ (* -2 (* y (cos (* 1/2 (PI))))) (* x (- (+ (sin (* 1/2 (PI))) (* x (- (* 1/3 (/ (cos (* 1/2 (PI))) y)) (* 5/12 (/ (cos (* 1/2 (PI))) y))))) (* -5/12 (- 1 (sin (* 1/2 (PI)))))))))) (pow x 2))))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (* y (- 1 (sin (* 1/2 (PI))))) x)))
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#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (+ (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (- (* 1/2 (/ (sin (* 1/2 (PI))) y)) (* -1/6 (/ (- 1 (sin (* 1/2 (PI)))) y)))))) (* y (- 1 (sin (* 1/2 (PI)))))) x)))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (+ (* x (+ (* -1 (cos (* 1/2 (PI)))) (* x (- (+ (* 1/2 (/ (sin (* 1/2 (PI))) y)) (* (pow x 2) (- (* -1/24 (/ (sin (* 1/2 (PI))) (pow y 3))) (+ (* -1/6 (/ (- (* 1/2 (/ (sin (* 1/2 (PI))) y)) (* -1/6 (/ (- 1 (sin (* 1/2 (PI)))) y))) (pow y 2))) (* 1/120 (/ (- 1 (sin (* 1/2 (PI)))) (pow y 3))))))) (* -1/6 (/ (- 1 (sin (* 1/2 (PI)))) y)))))) (* y (- 1 (sin (* 1/2 (PI)))))) x)))
#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (- 1 (sin (* 1/2 (PI))))))
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#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (- (+ 1 (* x (- (* x (- (* 1/6 (/ (* x (cos (* 1/2 (PI)))) (pow y 3))) (* -1/2 (/ (sin (* 1/2 (PI))) (pow y 2))))) (/ (cos (* 1/2 (PI))) y)))) (sin (* 1/2 (PI))))))
#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))))
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#s(approx (* (+ (* (/ (PI) x) 1/2) (pow y -1)) x) #s(hole binary64 (+ (* 1/2 (PI)) (/ x y))))
#s(approx (+ (* (/ (PI) x) 1/2) (pow y -1)) #s(hole binary64 (* 1/2 (/ (PI) x))))
#s(approx (+ (* (/ (PI) x) 1/2) (pow y -1)) #s(hole binary64 (/ (+ (* 1/2 (PI)) (/ x y)) 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 (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (/ -1 (cos (+ (PI) (* 1/2 (/ x y)))))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (cos (+ (PI) (* 1/2 (/ x y))))))
#s(approx (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (* 1/2 (/ x y))))
#s(approx (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (* x (+ (* 1/2 (/ 1 y)) (/ (PI) x)))))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y))))))
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (cos (* 1/2 (/ x y)))))
#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y)))))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y))))))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (* -1/2 (/ x y))))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))))
#s(approx (* (- (* (/ (PI) x) 1/2) (/ 1/2 y)) x) #s(hole binary64 (* -1/2 (/ x y))))
#s(approx (* (- (* (/ (PI) x) 1/2) (/ 1/2 y)) x) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))))
#s(approx (- (* (/ (PI) x) 1/2) (/ 1/2 y)) #s(hole binary64 (/ -1/2 y)))
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#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) #s(hole binary64 (/ (- 1 (cos (/ x y))) (* (sin (* 1/2 (/ x y))) (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 (* (sin (/ x y)) (sin (/ x (* 2 y)))) #s(hole binary64 (* (sin (* 1/2 (/ x y))) (sin (/ x y)))))
#s(approx (sin (/ x y)) #s(hole binary64 (sin (/ x y))))
#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (- 1 (sin (+ (* 1/2 (PI)) (/ x y)))) (* (sin (* 1/2 (/ x y))) (sin (/ x y))))))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (- 1 (sin (+ (* 1/2 (PI)) (/ x y)))) (sin (/ x y)))))
#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (- 1 (sin (+ (* 1/2 (PI)) (/ x y))))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (/ x y)))))
#s(approx (+ (/ x y) (/ (PI) 2)) #s(hole binary64 (/ x y)))
#s(approx (+ (/ x y) (/ (PI) 2)) #s(hole binary64 (* x (+ (* 1/2 (/ (PI) x)) (/ 1 y)))))
#s(approx (* (+ (* (/ (PI) x) 1/2) (pow y -1)) x) #s(hole binary64 (/ x y)))
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#s(approx (+ (* (/ (PI) x) 1/2) (pow y -1)) #s(hole binary64 (/ 1 y)))
#s(approx (+ (* (/ (PI) x) 1/2) (pow y -1)) #s(hole binary64 (+ (* 1/2 (/ (PI) x)) (/ 1 y))))
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y)))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (/ -1 (cos (- (PI) (* -1/2 (/ x y)))))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (cos (- (PI) (* -1/2 (/ x y))))))
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#s(approx (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (+ (* -1/2 (/ x y)) (* 1/2 (PI)))))))
#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (sin (+ (* -1/2 (/ x y)) (* 1/2 (PI))))))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))))))
#s(approx (* (- (* (/ (PI) x) 1/2) (/ 1/2 y)) x) #s(hole binary64 (* -1 (* x (+ (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))))))
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) #s(hole binary64 (/ (- 1 (sin (- (* 1/2 (PI)) (* -1 (/ x y))))) (* (sin (* 1/2 (/ x y))) (sin (/ x y))))))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (/ (- 1 (sin (- (* 1/2 (PI)) (* -1 (/ x y))))) (sin (/ x y)))))
#s(approx (- 1 (sin (+ (/ x y) (/ (PI) 2)))) #s(hole binary64 (- 1 (sin (- (* 1/2 (PI)) (* -1 (/ x y)))))))
#s(approx (sin (+ (/ x y) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1 (/ x y))))))
#s(approx (+ (/ x y) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) (/ 1 y))))))
#s(approx (* (+ (* (/ (PI) x) 1/2) (pow y -1)) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) (/ 1 y))))))
#s(approx (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (/ (+ (* 1/2 x) (* y (PI))) y)))
#s(approx y #s(hole binary64 y))
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#s(approx (* (- (* (/ (PI) x) 1/2) (/ 1/2 y)) x) #s(hole binary64 (/ (+ (* -1/2 x) (* 1/2 (* y (PI)))) y)))
#s(approx (- (* (/ (PI) x) 1/2) (/ 1/2 y)) #s(hole binary64 (/ (- (* 1/2 (/ (* y (PI)) x)) 1/2) y)))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y)))
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#s(approx (+ (* (/ (PI) x) 1/2) (pow y -1)) #s(hole binary64 (/ (+ 1 (* 1/2 (/ (* y (PI)) x))) y)))
#s(approx (pow y -1) #s(hole binary64 (/ 1 y)))
#s(approx (* y 2) #s(hole binary64 (* 2 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 (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))) (pow y 2))) (+ (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI)))))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (- (* -1 (/ (+ (* -1/48 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))) (+ (* 1/16 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))) (* 1/2 (/ (* x (* (sin (PI)) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (cos (PI)))))) (pow y 3))) (+ (* 1/8 (/ (pow x 2) (* (pow y 2) (cos (PI))))) (+ (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* (pow y 2) (pow (cos (PI)) 3)))) (+ (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI)))))))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (- (+ (cos (PI)) (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2)))) (* 1/2 (/ (* x (sin (PI))) y)))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (- (+ (cos (PI)) (+ (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2))) (* 1/48 (/ (* (pow x 3) (sin (PI))) (pow y 3))))) (* 1/2 (/ (* x (sin (PI))) y)))))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))))
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Calls

6 calls:

TimeVariablePointExpression
9.0ms
y
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) -1 (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (/ x y) x y 1/2 (PI) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (* (- (* (/ (PI) x) 1/2) (/ 1/2 y)) x) (- (* (/ (PI) x) 1/2) (/ 1/2 y)) (* (/ (PI) x) 1/2) (/ (PI) x) (/ 1/2 y) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) (- 1 (cos (/ x y))) (cos (/ x y)) (* (sin (/ x y)) (sin (/ x (* 2 y)))) (sin (/ x y)) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) 2 (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 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) x) 1/2) (pow y -1)) x) (+ (* (/ (PI) x) 1/2) (pow y -1)) (pow y -1) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
6.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) -1 (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (/ x y) x y 1/2 (PI) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (* (- (* (/ (PI) x) 1/2) (/ 1/2 y)) x) (- (* (/ (PI) x) 1/2) (/ 1/2 y)) (* (/ (PI) x) 1/2) (/ (PI) x) (/ 1/2 y) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) (- 1 (cos (/ x y))) (cos (/ x y)) (* (sin (/ x y)) (sin (/ x (* 2 y)))) (sin (/ x y)) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) 2 (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 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) x) 1/2) (pow y -1)) x) (+ (* (/ (PI) x) 1/2) (pow y -1)) (pow y -1) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
5.0ms
x
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) -1 (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (/ x y) x y 1/2 (PI) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (* (- (* (/ (PI) x) 1/2) (/ 1/2 y)) x) (- (* (/ (PI) x) 1/2) (/ 1/2 y)) (* (/ (PI) x) 1/2) (/ (PI) x) (/ 1/2 y) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) (- 1 (cos (/ x y))) (cos (/ x y)) (* (sin (/ x y)) (sin (/ x (* 2 y)))) (sin (/ x y)) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) 2 (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 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) x) 1/2) (pow y -1)) x) (+ (* (/ (PI) x) 1/2) (pow y -1)) (pow y -1) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
5.0ms
x
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) -1 (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (/ x y) x y 1/2 (PI) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (* (- (* (/ (PI) x) 1/2) (/ 1/2 y)) x) (- (* (/ (PI) x) 1/2) (/ 1/2 y)) (* (/ (PI) x) 1/2) (/ (PI) x) (/ 1/2 y) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) (- 1 (cos (/ x y))) (cos (/ x y)) (* (sin (/ x y)) (sin (/ x (* 2 y)))) (sin (/ x y)) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) 2 (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 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) x) 1/2) (pow y -1)) x) (+ (* (/ (PI) x) 1/2) (pow y -1)) (pow y -1) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))
5.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) -1 (cos (+ (* (/ x y) 1/2) (PI))) (+ (* (/ x y) 1/2) (PI)) (/ x y) x y 1/2 (PI) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ x y) 1/2))) 1 (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) -1) (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (* (- (* (/ (PI) x) 1/2) (/ 1/2 y)) x) (- (* (/ (PI) x) 1/2) (/ 1/2 y)) (* (/ (PI) x) 1/2) (/ (PI) x) (/ 1/2 y) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) (- 1 (cos (/ x y))) (cos (/ x y)) (* (sin (/ x y)) (sin (/ x (* 2 y)))) (sin (/ x y)) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) 2 (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/ (- 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) x) 1/2) (pow y -1)) x) (+ (* (/ (PI) x) 1/2) (pow y -1)) (pow y -1) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2))

rewrite197.0ms (4.4%)

Memory
23.4MiB live, 255.5MiB allocated; 53ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014539688
015108582
083248310
Stop Event
iter limit
node limit
iter limit
Counts
268 → 323
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))
#s(literal -1 binary64)
(cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(PI.f64)
#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)))))
(/.f64 #s(literal 1 binary64) (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))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)))
(pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64))
(sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x))
(*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)
(-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64))
(/.f64 (PI.f64) x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
(-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
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(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
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#s(literal 2 binary64)
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(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x)))) (sin.f64 (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x))))
(sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x)))
#s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x))
(*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x)
(fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 y #s(literal -1 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))
#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 (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (/ -1 (cos (PI)))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #s(hole binary64 (- (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))))
#s(approx (/ -1 (cos (+ (* (/ x y) 1/2) (PI)))) #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 (+ (* (/ x y) 1/2) (PI)))) #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 (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (cos (PI))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (+ (cos (PI)) (* -1/2 (/ (* x (sin (PI))) y)))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #s(hole binary64 (+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* 1/2 (/ (sin (PI)) y)))))))
#s(approx (cos (+ (* (/ x y) 1/2) (PI))) #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 (+ (* (/ x y) 1/2) (PI)) #s(hole binary64 (PI)))
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#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 1))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
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#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))))))
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#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI)))))
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#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))))))))
#s(approx (sin (+ (neg (* (/ 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 (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI))))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) #s(hole binary64 (+ (* -1/2 (/ x y)) (* 1/2 (PI)))))
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#s(approx (/ (PI) x) #s(hole binary64 (/ (PI) x)))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) #s(hole binary64 1))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))
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#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 25/9216 (/ 1 (pow y 6))) (* 1/720 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2))))))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow y 2)))))
#s(approx (- 1 (cos (/ x y))) #s(hole binary64 (* (pow x 2) (+ (* -1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))))
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#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))))))
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#s(approx (* (sin (/ x y)) (sin (/ x (* 2 y)))) #s(hole binary64 (* 1/2 (/ (pow x 2) (pow y 2)))))
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#s(approx (sin (+ (neg (* (/ x y) 1/2)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y)))))
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#s(approx (sin (/ x (* 2 y))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))))
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#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) #s(hole binary64 (* -1 (* y (+ (* -1 (/ (+ (* -1 (cos (* 1/2 (PI)))) (* -1 (/ (- (* -1/2 (* x (sin (* 1/2 (PI))))) (* 1/6 (* x (- 1 (sin (* 1/2 (PI))))))) y))) y)) (* -1 (/ (- 1 (sin (* 1/2 (PI)))) x)))))))
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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)))
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
#s(literal -1 binary64)
(neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))
(sin.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(cos.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))
(cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 (PI.f64) (PI.f64))) (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (PI.f64)))
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#s(approx (/ 1 (cos (* (/ x y) 1/2))) (fma.f64 x (fma.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 y (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))))
#s(approx (/ 1 (cos (* (/ x y) 1/2))) (fma.f64 x (fma.f64 x (fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal -1/24 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 (*.f64 y y) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 y (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal -1 binary64))))
#s(approx (cos (* (/ x y) 1/2)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (cos (* (/ x y) 1/2)) (-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))))
#s(approx (cos (* (/ x y) 1/2)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 y y)))))))
#s(approx (cos (* (/ x y) 1/2)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 y y)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 y #s(literal 3 binary64))))))))))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (* (- (* (/ (PI) x) 1/2) (/ 1/2 y)) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (* (- (* (/ (PI) x) 1/2) (/ 1/2 y)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (- (* (/ (PI) x) 1/2) (/ 1/2 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)))
#s(approx (- (* (/ (PI) x) 1/2) (/ 1/2 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) (PI.f64))) x))
#s(approx (* (/ (PI) x) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)))
#s(approx (/ (PI) x) (/.f64 (PI.f64) x))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) #s(literal 1 binary64))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 #s(literal 5/384 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal -2 binary64)))))))
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ x (* 2 y))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal -4 binary64)) (*.f64 (*.f64 x x) (*.f64 (pow.f64 y #s(literal -6 binary64)) #s(literal 61/46080 binary64)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal -2 binary64)))))))
#s(approx (- 1 (cos (/ x y))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 y y)))
#s(approx (- 1 (cos (/ x y))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -2 binary64))))))
#s(approx (- 1 (cos (/ x y))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal -1/24 binary64) (pow.f64 y #s(literal -4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -2 binary64))))))
#s(approx (- 1 (cos (/ x y))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/40320 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 8 binary64))) (*.f64 #s(literal 1/720 binary64) (pow.f64 y #s(literal -6 binary64)))) (*.f64 #s(literal -1/24 binary64) (pow.f64 y #s(literal -4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -2 binary64))))))
#s(approx (cos (/ x y)) #s(literal 1 binary64))
#s(approx (cos (/ x y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 y y))))
#s(approx (cos (/ x y)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal -2 binary64)))))))
#s(approx (cos (/ x y)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal -4 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal -2 binary64)))))))
#s(approx (* (sin (/ x y)) (sin (/ x (* 2 y)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 y y)))
#s(approx (* (sin (/ x y)) (sin (/ x (* 2 y)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -5/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -2 binary64))))))
#s(approx (* (sin (/ x y)) (sin (/ x (* 2 y)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 91/11520 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal -5/48 binary64) (pow.f64 y #s(literal -4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -2 binary64))))))
#s(approx (* (sin (/ x y)) (sin (/ x (* 2 y)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (pow.f64 y #s(literal -8 binary64)) #s(literal 41/129024 binary64)) (*.f64 #s(literal 91/11520 binary64) (pow.f64 y #s(literal -6 binary64)))) (*.f64 #s(literal -5/48 binary64) (pow.f64 y #s(literal -4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -2 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 (sin (/ x (* 2 y))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (sin (/ x (* 2 y))) (*.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))))
#s(approx (sin (/ x (* 2 y))) (*.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))))
#s(approx (sin (/ x (* 2 y))) (*.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 (/ x (* 2 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 x x)))
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 y (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 x x)))
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) y) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -5/12 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) (*.f64 x x)))
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (fma.f64 (*.f64 #s(literal -2 binary64) y) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (-.f64 (*.f64 x (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y) #s(literal -1/12 binary64))) (*.f64 #s(literal -5/12 binary64) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))) (*.f64 x x)))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) x))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (/.f64 (fma.f64 (neg.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 y (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) x))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (/.f64 (fma.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))))) (*.f64 y (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) x))
#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (/.f64 (fma.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y) (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))) (*.f64 y y)) (*.f64 #s(literal 1/120 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 y #s(literal 3 binary64))))))) (*.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y)))))) (*.f64 y (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) x))
#s(approx (- 1 (cos (/ x y))) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- 1 (cos (/ x y))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.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 (- 1 (cos (/ x y))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) 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)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (- 1 (cos (/ x y))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (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(approx (cos (/ x y)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
#s(approx (cos (/ x y)) (+.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 (cos (/ x y)) (+.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)))))
#s(approx (cos (/ x y)) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 y y)) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y)))))
#s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (+ (/ x y) (/ (PI) 2)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 x y)))
#s(approx (* (+ (* (/ (PI) x) 1/2) (pow y -1)) x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(approx (* (+ (* (/ (PI) x) 1/2) (pow y -1)) x) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 x y)))
#s(approx (+ (* (/ (PI) x) 1/2) (pow y -1)) (*.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x)))
#s(approx (+ (* (/ (PI) x) 1/2) (pow y -1)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 x y)) x))
#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))))
#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))))
#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 (/ x (* y 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))
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#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (*.f64 (*.f64 y y) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/48 binary64)) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (pow.f64 x #s(literal 4 binary64))))) y) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) x))) y) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x x))))))
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#s(approx (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) y))) y) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) x))))))
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eval49.0ms (1.1%)

Memory
-6.4MiB live, 83.5MiB allocated; 8ms collecting garbage
Compiler

Compiled 16 489 to 2 140 computations (87% saved)

prune79.0ms (1.8%)

Memory
29.1MiB live, 87.2MiB allocated; 54ms collecting garbage
Pruning

45 alts after pruning (39 fresh and 6 done)

PrunedKeptTotal
New36324387
Fresh71522
Picked325
Done044
Total37345418
Accuracy
64.7%
Counts
418 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.1%
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x))) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x))) (*.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x))))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.1%
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x))) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x))))) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.0%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
5.6%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.1%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))) x)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
5.9%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))) x)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
3.2%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1 binary64)))))) x)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.4%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (+.f64 y y))))
6.2%
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.6%
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.3%
(/.f64 (-.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.0%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x))) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
5.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) #s(literal 2 binary64)))
5.8%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
44.2%
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.1%
(/.f64 (tan.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
31.0%
(/.f64 #s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (*.f64 (fma.f64 (*.f64 x (/.f64 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 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)))
6.1%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (/.f64 (cos.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))))
6.1%
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x y))))
1.0%
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 x x)) #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/48 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64))) y))) y))) (*.f64 y y)))
48.9%
#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)))
55.8%
#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)))
56.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
59.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)))
18.1%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))) x))) #s(literal -1 binary64)))
29.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y))) (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) x))) #s(literal -1 binary64)))
59.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(approx (- (* (/ (PI) x) 1/2) (/ 1/2 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) (PI.f64))) x)) x))) #s(literal -1 binary64)))
56.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (pow (cos (* (/ x y) 1/2)) -1/2) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)))
56.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (cos (* (/ x y) 1/2)) (fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal -1/2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
58.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
59.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
59.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)))))
59.0%
#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)))))
49.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #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))))))
59.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
57.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (PI.f64))))))))
59.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y (PI.f64))) y)))))
59.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) x)))))))
4.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
54.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (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)))))))
51.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.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))))))
57.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (*.f64 (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1/2 binary64))))
55.7%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) (fma.f64 (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
59.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 4 060 to 1 479 computations (63.6% saved)

regimes90.0ms (2%)

Memory
-7.4MiB live, 133.1MiB allocated; 11ms collecting garbage
Counts
70 → 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 (*.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 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #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(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (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 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.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(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
#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)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y (PI.f64))) y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (*.f64 (*.f64 (*.f64 y y) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 x x))) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) x)))))))
(/.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))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.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))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 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)))) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 #s(approx (- (* (/ (PI) x) 1/2) (/ 1/2 y)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 #s(literal 1/2 binary64) (PI.f64))) x)) x))) #s(literal -1 binary64)))
(/.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 (tan.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (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 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #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)))
(/.f64 #s(approx (/ (- 1 (cos (/ x y))) (sin (/ x y))) (*.f64 (fma.f64 (*.f64 x (/.f64 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 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 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y))) (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) x))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (pow (cos (* (/ x y) 1/2)) -1/2) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (cos (* (/ x y) 1/2)) (fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal -1/2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (+.f64 y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.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 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x y))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (/.f64 x y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) x)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 x y) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (/.f64 x y) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (PI.f64))))))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (*.f64 (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1/2 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))) x))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (pow (pow (cos (* (/ x y) 1/2)) -1/2) 2) (fma.f64 (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))) x)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))) x)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.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 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 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x))) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (/.f64 (cos.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))))
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 x x)) #s(literal 2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/48 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 4 binary64))) y))) y))) (*.f64 y y)))
(/.f64 (/.f64 (/.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 y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x))) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x))))) (+.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1 binary64)))))) x)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x))) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x))) (*.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (/ x y) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) x))))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

5 calls:

18.0ms
x
17.0ms
y
17.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
16.0ms
(*.f64 y #s(literal 2 binary64))
14.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
59.9%1(*.f64 y #s(literal 2 binary64))
61.6%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
59.9%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
59.9%1x
59.9%1y
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes7.0ms (0.2%)

Memory
12.1MiB live, 12.1MiB 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 (*.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 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #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(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (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 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* (/ x y) 1/2) (PI))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.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(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))
#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)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 y (PI.f64))) y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (/ (/ (- 1 (sin (+ (/ x y) (/ (PI) 2)))) (sin (/ x y))) (sin (/ x (* y 2)))) (*.f64 (*.f64 (*.f64 y y) (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 x x))) #s(literal 2 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* (/ x y) 1/2) (PI)) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) x)))))))
(/.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))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.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))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (neg (* (/ x y) 1/2)) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 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)))) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

1 calls:

6.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
61.4%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes13.0ms (0.3%)

Memory
-28.9MiB live, 20.9MiB allocated; 5ms collecting garbage
Accuracy

Total -37.6b remaining (-146.4%)

Threshold costs -37.6b (-146.4%)

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

3 calls:

5.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
3.0ms
(*.f64 y #s(literal 2 binary64))
3.0ms
y
Results
AccuracySegmentsBranch
59.9%1(*.f64 y #s(literal 2 binary64))
59.9%1y
59.9%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.6507392134295074e+28
8.534337319351518e+28
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.6507392134295074e+28
8.534337319351518e+28
Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify37.0ms (0.8%)

Memory
-15.9MiB live, 30.4MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038123
149123
279123
3157123
4572123
54297123
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 49999999999999995716575428608 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 49999999999999995716575428608 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Outputs
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 49999999999999995716575428608 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 49999999999999995716575428608 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))

derivations112.0ms (2.5%)

Memory
3.4MiB live, 94.3MiB allocated; 11ms collecting garbage
Stop Event
fuel
Compiler

Compiled 123 to 40 computations (67.5% saved)

preprocess40.0ms (0.9%)

Memory
12.7MiB live, 63.3MiB allocated; 9ms collecting garbage
Compiler

Compiled 576 to 264 computations (54.2% saved)

end0.0ms (0%)

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

Profiling

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