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

Time bar (total: 11.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze271.0ms (2.4%)

Memory
42.7MiB live, 228.2MiB allocated
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)

sample2.5s (22.5%)

Memory
58.6MiB live, 2 360.0MiB allocated
Samples
1.6s3 923×1valid
440.0ms4 333×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-sin: 530.0ms (30.5% of total)
ival-div: 511.0ms (29.4% of total)
ival-mult: 292.0ms (16.8% of total)
ival-tan: 265.0ms (15.2% of total)
adjust: 127.0ms (7.3% of total)
ival-true: 7.0ms (0.4% of total)
exact: 5.0ms (0.3% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain231.0ms (2.1%)

Memory
-38.8MiB live, 324.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1280-0-(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
1280-1(-6.284953096174149e-73 9.767172104966798e-76)(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
260-0-(/.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
tan.f64(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))sensitivity910
sin.f64(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))sensitivity901
sin.f64(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))oflow-rescue370
(/.f64 x (*.f64 y #s(literal 2 binary64)))overflow37
tan.f64(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))oflow-rescue370
(/.f64 x (*.f64 y #s(literal 2 binary64)))overflow37
/.f64(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))u/u260
(/.f64 x (*.f64 y #s(literal 2 binary64)))underflow26
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))underflow26
(/.f64 x (*.f64 y #s(literal 2 binary64)))underflow26
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))underflow26
Confusion
Predicted +Predicted -
+1540
-0102
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+15400
-00102
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0102
127
2127
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
134.0ms252×1valid
22.0ms260×0valid
Compiler

Compiled 89 to 28 computations (68.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
adjust: 30.0ms (41.4% of total)
ival-sin: 13.0ms (17.9% of total)
ival-div: 12.0ms (16.6% of total)
ival-tan: 11.0ms (15.2% of total)
ival-mult: 4.0ms (5.5% of total)
ival-true: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess192.0ms (1.7%)

Memory
-24.3MiB live, 160.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02275
15167
212265
322765
443565
584965
6182065
7406865
0813
01313
12113
23513
35313
47813
512413
619613
742313
899313
9203913
10436113
11793413
0819413
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Outputs
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
Symmetry

(abs y)

(abs x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.6%
(/.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)

simplify141.0ms (1.3%)

Memory
46.3MiB live, 134.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 2 binary64))
cost-diff0
(/.f64 x (*.f64 y #s(literal 2 binary64)))
cost-diff0
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
cost-diff0
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
01336
12136
23536
35336
47836
512436
619636
742336
899336
9203936
10436136
11793436
0819436
Stop Event
iter limit
node limit
iter 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)))))
(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
(/.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 y) #s(literal -2 binary64))) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
x
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
y
#s(literal 2 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))

localize94.0ms (0.8%)

Memory
-30.7MiB live, 165.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y #s(literal 2 binary64))
accuracy6.461009027321458
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy28.844211732261307
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy29.03640347991748
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Samples
47.0ms126×1valid
19.0ms130×0valid
Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-div: 38.0ms (67.1% of total)
ival-tan: 9.0ms (15.9% of total)
ival-sin: 6.0ms (10.6% of total)
adjust: 2.0ms (3.5% of total)
ival-mult: 2.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory
-20.2MiB live, 38.2MiB allocated
Counts
5 → 33
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)))
(*.f64 y #s(literal 2 binary64))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Outputs
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 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))))))
(* 1/2 (/ x y))
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* 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))))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* 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))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(sin (* 1/2 (/ x y)))
(* 2 y)
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 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))))))
(- (+ 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)))))))))
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ (* -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)
(/ (- (+ (* -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)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/ (+ (* -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)
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 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))))))
(- (+ 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)))))))))
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))
(* -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))
(* -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))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -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
16.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ 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)) (* y 2) (sin (/ x (* y 2))))
2.0ms
x
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ 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)) (* y 2) (sin (/ x (* y 2))))
2.0ms
y
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2))))

simplify198.0ms (1.8%)

Memory
54.7MiB live, 321.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03161576
110061536
240331498
086801395
Stop Event
iter limit
node limit
Counts
33 → 33
Calls
Call 1
Inputs
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 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))))))
(* 1/2 (/ x y))
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* 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))))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* 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))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(sin (* 1/2 (/ x y)))
(* 2 y)
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 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))))))
(- (+ 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)))))))))
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ (* -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)
(/ (- (+ (* -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)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/ (+ (* -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)
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 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))))))
(- (+ 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)))))))))
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))
(* -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))
(* -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))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -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
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
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(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 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))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
(* 1/2 (/ x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
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(* 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))))
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(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(sin (* 1/2 (/ x y)))
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(* 2 y)
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(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)
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(/ (- (+ (* -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)
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(/ (- (+ (* -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)
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) y) (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)
(/ (+ (* -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)
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) y) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 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)
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (*.f64 y y)))
(- (+ 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))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 4 binary64)))) x) #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) x) y) (/.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64)))) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64))) (pow.f64 y #s(literal 4 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)))))))))
(-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (/.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 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (pow.f64 y #s(literal 6 binary64)))) x) (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.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 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64))) (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64))))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x) (*.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/1920 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) #s(literal -2 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/322560 binary64))) (pow.f64 y #s(literal 6 binary64)))))))
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y))
(* -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))
(/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x))) (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 y))
(* -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))
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 6 binary64))) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 6 binary64))))))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x))) (neg.f64 y))
(* -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))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))))))) (neg.f64 y))

rewrite136.0ms (1.2%)

Memory
4.5MiB live, 196.8MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0833
01317
12917
211817
38247
0104017
Stop Event
iter limit
node limit
iter limit
Counts
5 → 15
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)))
(*.f64 y #s(literal 2 binary64))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)
(/.f64 (/.f64 x #s(literal -2 binary64)) (neg.f64 y))
(/.f64 (/.f64 x #s(literal -2 binary64)) y)
(/.f64 (/.f64 x #s(literal 2 binary64)) (neg.f64 y))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal 2 binary64))
(/.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (neg.f64 x) #s(literal 0 binary64))
(/.f64 x #s(literal 0 binary64))
(neg.f64 (/.f64 x #s(literal 0 binary64)))
#s(literal 0 binary64)
#s(literal 0 binary64)

eval37.0ms (0.3%)

Memory
-15.9MiB live, 30.6MiB allocated
Compiler

Compiled 2 105 to 381 computations (81.9% saved)

prune32.0ms (0.3%)

Memory
-5.7MiB live, 49.1MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New46955
Fresh000
Picked011
Done000
Total461056
Accuracy
60.5%
Counts
56 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.6%
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
44.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
44.3%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.5%
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
48.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
54.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
55.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
3.1%
#s(literal 0 binary64)
Compiler

Compiled 351 to 254 computations (27.6% saved)

simplify156.0ms (1.4%)

Memory
14.4MiB live, 149.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 (/.f64 x y) #s(literal -2 binary64))
cost-diff0
(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
cost-diff0
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
cost-diff0
(/.f64 x (*.f64 y #s(literal 2 binary64)))
cost-diff0
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
cost-diff0
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
cost-diff2
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
cost-diff0
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
cost-diff0
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
cost-diff0
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035225
057225
192225
2182225
3485225
41546222
54172222
67409222
08155219
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
#s(literal 1 binary64)
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#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 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #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)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)
(/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y)
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
(/.f64 #s(literal -1/48 binary64) y)
#s(literal -1/48 binary64)
#s(literal 1/2 binary64)
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 x y)
x
y
#s(literal -2 binary64)
(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(literal 2 binary64)
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 0 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
#s(literal 1 binary64)
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(/.f64 #s(literal 1/2 binary64) y)
#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 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(approx (sin (/ x (* y 2))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
x
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
y
#s(literal 2 binary64)
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))
#s(approx (sin (/ x (* y 2))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y)
(/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) y)
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
(/.f64 #s(literal -1/48 binary64) y)
#s(literal -1/48 binary64)
#s(literal 1/2 binary64)
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))
(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 x y)
x
y
#s(literal -2 binary64)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)

localize366.0ms (3.3%)

Memory
-18.1MiB live, 168.7MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y #s(literal 2 binary64))
accuracy6.621838691724058
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy28.844211732261307
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy29.0548788031729
(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
accuracy6.461009027321458
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
accuracy7.605012436318875
(/.f64 (*.f64 x x) y)
accuracy29.03640347991748
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy31.394530997763226
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))
accuracy0.0
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
accuracy0.1015625
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
accuracy0.21484375
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
accuracy28.82459351716688
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
accuracy28.47897731191519
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Samples
150.0ms126×1valid
71.0ms130×0valid
Compiler

Compiled 189 to 30 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 199.0ms
ival-mult: 108.0ms (54.3% of total)
adjust: 37.0ms (18.6% of total)
ival-div: 22.0ms (11.1% of total)
ival-tan: 12.0ms (6% of total)
ival-cos: 6.0ms (3% of total)
ival-sin: 6.0ms (3% of total)
const: 5.0ms (2.5% of total)
ival-add: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series126.0ms (1.1%)

Memory
20.1MiB live, 86.1MiB allocated
Counts
17 → 69
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)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #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 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #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 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 x y)
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))
(/.f64 (*.f64 x x) y)
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(*.f64 y #s(literal 2 binary64))
Outputs
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 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))))))
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 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))))))
(* 1/2 (/ x y))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* 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))))
-1
(- (* -1/8 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (- (* -5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))) 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))))) 1)
(* -1/2 (/ x y))
(* x (- (* -1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (- (* (pow x 2) (- (* -1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* 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))))
(/ x y)
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* 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))))
(/ (pow x 2) y)
(/ 1 (cos (* 1/2 (/ x y))))
(cos (* 1/2 (/ x y)))
(* -1/48 (/ (pow x 3) (pow y 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* -1/2 (/ x y))) (cos (* -1/2 (/ x y))))
(sin (* 1/2 (/ x y)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y))))))
(/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3))
(* 2 y)
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 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))))))
(- (+ 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)))))))))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(- (+ 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))))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+ 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))))))
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ (* -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)
(/ (- (+ (* -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)
(- (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (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)))) (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (+ 1 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (* 1/24 (/ (pow x 2) (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)))) (+ (* 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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 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))) (* 1/24 (/ (pow x 2) (pow y 2))))))))))
(/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ (* -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)
(/ (- (+ (* -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)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/ (+ (* -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)
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 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))))))
(- (+ 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)))))))))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))
(* -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))
(* -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))
(- (* -2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (pow y 2)))))
(- (+ (* -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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (* 1/24 (/ (pow x 2) (pow y 2)))))))
(- (+ (* -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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 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))) (* 1/24 (/ (pow x 2) (pow y 2))))))))))
(* -1 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (- (+ (* -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))
(* -1 (/ (- (+ (* -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))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -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
100.0ms
x
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (tan (/ (/ x y) -2)) (/ (/ x y) -2) (/ x y) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ x (* y 2))) (* y 2))
6.0ms
y
@-inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (tan (/ (/ x y) -2)) (/ (/ x y) -2) (/ x y) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ x (* y 2))) (* y 2))
5.0ms
y
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (tan (/ (/ x y) -2)) (/ (/ x y) -2) (/ x y) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ x (* y 2))) (* y 2))
4.0ms
x
@0
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (tan (/ (/ x y) -2)) (/ (/ x y) -2) (/ x y) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ x (* y 2))) (* y 2))
4.0ms
x
@inf
((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (tan (/ (/ x y) -2)) (/ (/ x y) -2) (/ x y) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ x (* y 2))) (* y 2))

simplify432.0ms (3.9%)

Memory
-6.6MiB live, 310.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04853193
115263061
260863003
081942813
Stop Event
iter limit
node limit
Counts
69 → 69
Calls
Call 1
Inputs
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 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))))))
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 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))))))
(* 1/2 (/ x y))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* 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))))
-1
(- (* -1/8 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (- (* -5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))) 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))))) 1)
(* -1/2 (/ x y))
(* x (- (* -1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (- (* (pow x 2) (- (* -1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* 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))))
(/ x y)
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* 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))))
(/ (pow x 2) y)
(/ 1 (cos (* 1/2 (/ x y))))
(cos (* 1/2 (/ x y)))
(* -1/48 (/ (pow x 3) (pow y 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* -1/2 (/ x y))) (cos (* -1/2 (/ x y))))
(sin (* 1/2 (/ x y)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y))))))
(/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3))
(* 2 y)
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 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))))))
(- (+ 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)))))))))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(- (+ 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))))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+ 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))))))
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ (* -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)
(/ (- (+ (* -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)
(- (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (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)))) (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (+ 1 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (* 1/24 (/ (pow x 2) (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)))) (+ (* 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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 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))) (* 1/24 (/ (pow x 2) (pow y 2))))))))))
(/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ (* -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)
(/ (- (+ (* -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)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/ (+ (* -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)
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 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))))))
(- (+ 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)))))))))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))
(* -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))
(* -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))
(- (* -2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (pow y 2)))))
(- (+ (* -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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (* 1/24 (/ (pow x 2) (pow y 2)))))))
(- (+ (* -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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 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))) (* 1/24 (/ (pow x 2) (pow y 2))))))))))
(* -1 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (- (+ (* -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))
(* -1 (/ (- (+ (* -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))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -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
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 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))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 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))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64))
(* 1/2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
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(* 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))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 7 binary64)))) #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
-1
#s(literal -1 binary64)
(- (* -1/8 (/ (pow x 2) (pow y 2))) 1)
(-.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64))
(- (* (pow x 2) (- (* -5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))) 1)
(-.f64 (*.f64 (fma.f64 #s(literal -5/384 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) (*.f64 x x)) #s(literal 1 binary64))
(- (* (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))))) 1)
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -61/46080 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal -5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) (*.f64 x x)) #s(literal 1 binary64))
(* -1/2 (/ x y))
(*.f64 #s(literal -1/2 binary64) (/.f64 x y))
(* x (- (* -1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/24 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1/2 binary64)) y) x)
(* x (- (* (pow x 2) (- (* -1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/2 binary64) y)) x)
(* 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))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 7 binary64)))) (/.f64 #s(literal -1/240 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/2 binary64) y)) x)
(/ x y)
(/.f64 x y)
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64))) x) x (/.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 x y) #s(literal 1/2 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))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x (/.f64 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 (/.f64 x y) #s(literal 1/2 binary64)))
(/ (pow x 2) y)
(*.f64 x (/.f64 x y))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(cos (* 1/2 (/ x y)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(* -1/48 (/ (pow x 3) (pow y 3)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) y)) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (sin (* 1/2 (/ x y)))))
(/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))
(/ (sin (* -1/2 (/ x y))) (cos (* -1/2 (/ x y))))
(/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(sin (* 1/2 (/ x y)))
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y))))))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) y)))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/48 binary64))) (pow.f64 y #s(literal 3 binary64)))
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (*.f64 y y)))
(- (+ 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))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) 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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 4 binary64)))) x) #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) x) y) (/.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64)))) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64))) (pow.f64 y #s(literal 4 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)))))))))
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(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y))
(* -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))
(neg.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64)))) y) (*.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 x y) #s(literal 3 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))
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 6 binary64))) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 6 binary64))))))) (neg.f64 y))
(- (* -2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (pow y 2)))))
(-.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) x) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
(- (+ (* -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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (* 1/24 (/ (pow x 2) (pow y 2)))))))
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) 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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 4 binary64)))) x) #s(literal -2 binary64)) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))) (*.f64 x x) (*.f64 #s(literal -1/1920 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))))
(- (+ (* -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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 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))) (* 1/24 (/ (pow x 2) (pow y 2))))))))))
(-.f64 (-.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x y)) (/.f64 #s(literal 1/24 binary64) y) (/.f64 (+.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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (pow.f64 y #s(literal 4 binary64)))) x))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x) (*.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) x) x))) (*.f64 #s(literal -1/1920 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))))) (fma.f64 #s(literal -1/1920 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) x) y) (/.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal 1/1920 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/322560 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 y #s(literal 6 binary64)))))))
(* -1 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) (neg.f64 y))
(* -1 (/ (- (+ (* -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))
(neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (/.f64 (-.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 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))))) y)))
(* -1 (/ (- (+ (* -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))
(neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 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 #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/768 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 6 binary64))))))) y)))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(neg.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) x)) y) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 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))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))))))) (neg.f64 y))

rewrite179.0ms (1.6%)

Memory
8.8MiB live, 197.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034171
056171
1146171
2704171
37818171
08028171
Stop Event
iter limit
node limit
iter limit
Counts
17 → 228
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)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #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 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #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 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 x y)
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))
(/.f64 (*.f64 x x) y)
(sin.f64 (/.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(literal 1 binary64))
#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)))
(*.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))))))
(neg.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))
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(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) y) x))))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) y) x))))
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(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (neg.f64 #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) y) x)))))
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) y) x))))
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(/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (*.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (neg.f64 #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) y) x)))))
(/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) y) x))))
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(/.f64 (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) y) x)))
(neg.f64 (/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) y) x))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 (neg.f64 x) y)))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))))
(/.f64 (sin.f64 (-.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (PI.f64))) (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (neg.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))))
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (neg.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))))
(/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (cos.f64 (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (+.f64 (PI.f64) (PI.f64)))))
(/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(tan.f64 (neg.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))))
(tan.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal -2 binary64))) (PI.f64))))
(tan.f64 (+.f64 (-.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (+.f64 (PI.f64) (PI.f64))) (PI.f64)))
(tan.f64 (-.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (PI.f64)))
(tan.f64 (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (+.f64 (PI.f64) (PI.f64))))
(tan.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)))
(tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))))
(+.f64 (/.f64 (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))) (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))))
(/.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 y))
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(/.f64 (/.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x (*.f64 #s(literal 2 binary64) y))
(neg.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (*.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (neg.f64 (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))))
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))
(/.f64 (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(neg.f64 (/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x y)))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))))
(/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal -2 binary64))) (PI.f64))) (cos.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal -2 binary64))) (PI.f64))))
(/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 (sin.f64 (/.f64 x y)) (neg.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y)))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))))
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (neg.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))))
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(neg.f64 (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))
(tan.f64 (neg.f64 (-.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (PI.f64))))
(tan.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (+.f64 (PI.f64) (PI.f64)))))
(tan.f64 (+.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.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 (PI.f64) (/.f64 (/.f64 x y) #s(literal -2 binary64))) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (neg.f64 x) y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y))))
(+.f64 (/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))))
(/.f64 (/.f64 x #s(literal -2 binary64)) y)
(/.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) y)
(/.f64 (neg.f64 (/.f64 x #s(literal 2 binary64))) y)
(/.f64 (/.f64 x #s(literal 2 binary64)) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal 2 binary64))
(/.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) y))
(/.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 x (*.f64 #s(literal -2 binary64) y))
(neg.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) y) x))
(neg.f64 (neg.f64 #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) y) x))))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y))
(/.f64 (*.f64 x x) y)
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) x))
(neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(fma.f64 (sin.f64 (PI.f64)) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 (cos.f64 (PI.f64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (PI.f64))))
(sin.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)))
(sin.f64 (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (+.f64 (PI.f64) (PI.f64))))
(sin.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))
(cos.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (PI.f64)))
(cos.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (/.f64 (+.f64 (/.f64 (neg.f64 x) y) (PI.f64)) #s(literal 2 binary64)))
(+.f64 (*.f64 (sin.f64 (PI.f64)) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (*.f64 (cos.f64 (PI.f64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(+.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (PI.f64))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (PI.f64))))
(*.f64 (neg.f64 y) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (-.f64 y y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))))
(neg.f64 (*.f64 #s(literal -2 binary64) y))
(+.f64 y y)

eval89.0ms (0.8%)

Memory
-15.4MiB live, 141.3MiB allocated
Compiler

Compiled 11 113 to 1 412 computations (87.3% saved)

prune24.0ms (0.2%)

Memory
16.2MiB live, 63.0MiB allocated
Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New29121312
Fresh224
Picked325
Done101
Total29725322
Accuracy
62.7%
Counts
322 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.6%
(/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
5.2%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (neg.f64 x) y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
5.1%
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (PI.f64)))))
4.5%
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (/.f64 (+.f64 (/.f64 (neg.f64 x) y) (PI.f64)) #s(literal 2 binary64))))
44.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
4.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.6%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
37.8%
(/.f64 #s(approx (tan (/ x (* y 2))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
35.8%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
44.3%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.0%
#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))
51.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
52.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
54.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))))))))
54.5%
#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))))))
54.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
54.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))))
54.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))))
54.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
54.7%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)))))
54.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
51.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))))
55.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
55.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 1 293 to 821 computations (36.5% saved)

simplify112.0ms (1%)

Memory
-18.7MiB live, 170.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
cost-diff0
(/.f64 x y)
cost-diff0
(sin.f64 (/.f64 x y))
cost-diff5
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
cost-diff0
#s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y))
cost-diff0
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
cost-diff2
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)
cost-diff2
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))
cost-diff0
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
cost-diff3
(sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff0
#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))
cost-diff0
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))
cost-diff0
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
cost-diff1
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054381
086374
1148369
2315365
3878365
43481359
56499359
08108353
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))
#s(literal -1 binary64)
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))
#s(literal -1/2 binary64)
(/.f64 x y)
x
y
(PI.f64)
#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)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(/.f64 x y)
x
y
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
#s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))
#s(literal 1/2 binary64)
x
(*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))
(/.f64 #s(literal 1/24 binary64) y)
#s(literal 1/24 binary64)
y
(/.f64 (pow.f64 x #s(literal 3 binary64)) y)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)
(/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y)
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) y)
(*.f64 x x)
(/.f64 #s(literal -1/48 binary64) y)
#s(literal -1/48 binary64)
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(sin.f64 (/.f64 x y))
(/.f64 x y)
x
y
(*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))
(cos.f64 (/.f64 x y))
#s(literal 1 binary64)
(sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (/.f64 x y) #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
#s(approx (/ (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 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))
#s(literal -1 binary64)
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))
(cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))
#s(literal -1/2 binary64)
(/.f64 x y)
x
y
(PI.f64)
#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)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))
#s(literal 1 binary64)
(sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.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(literal -1/2 binary64)
(/.f64 x y)
x
y
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
(/.f64 #s(approx (tan (/ x (* y 2))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(approx (sin (/ x (* y 2))) (fma.f64 #s(literal -1/48 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y))
#s(approx (tan (/ x (* y 2))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))
(*.f64 x (fma.f64 (/.f64 (*.f64 (/.f64 x y) x) y) #s(literal 1/24 binary64) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
x
(*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))
(*.f64 (/.f64 (/.f64 #s(literal 1/24 binary64) y) y) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1/24 binary64) y)
#s(literal 1/24 binary64)
y
(/.f64 (pow.f64 x #s(literal 3 binary64)) y)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))
#s(approx (sin (/ x (* y 2))) (fma.f64 #s(literal -1/48 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)
(fma.f64 #s(literal -1/48 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
(/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y)
(/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)) y)
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal -1/48 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) x)
(*.f64 x x)
(/.f64 #s(literal -1/48 binary64) y)
#s(literal -1/48 binary64)
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(sin.f64 (/.f64 x y))
(/.f64 x y)
x
y
(*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))
(+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))
(cos.f64 (/.f64 x y))
#s(literal 1 binary64)
(sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (/.f64 x y) #s(literal -2 binary64))
#s(literal -2 binary64)

localize323.0ms (2.9%)

Memory
-15.6MiB live, 573.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy6.629651191724058
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
accuracy28.6124047406273
(cos.f64 (/.f64 x y))
accuracy28.781887006100636
(sin.f64 (/.f64 x y))
accuracy28.800952488410204
(sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
accuracy6.461009027321458
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
accuracy7.605012436318875
(/.f64 (*.f64 x x) y)
accuracy31.394530997763226
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))
accuracy31.428145793087694
#s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y))
accuracy0.0
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
accuracy0.0234375
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy0.1015625
(/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))
accuracy28.663334361949886
(sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))
accuracy28.47897731191519
#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))
accuracy0.0
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
accuracy0.0078125
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))
accuracy0.1015625
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))
accuracy28.69130822029915
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))
Samples
158.0ms126×1valid
128.0ms130×0valid
Compiler

Compiled 310 to 51 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 252.0ms
ival-cos: 72.0ms (28.6% of total)
ival-div: 61.0ms (24.2% of total)
ival-sin: 39.0ms (15.5% of total)
ival-tan: 25.0ms (9.9% of total)
ival-mult: 16.0ms (6.4% of total)
const: 11.0ms (4.4% of total)
adjust: 10.0ms (4% of total)
ival-add: 10.0ms (4% of total)
ival-pow: 4.0ms (1.6% of total)
ival-pi: 1.0ms (0.4% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series69.0ms (0.6%)

Memory
31.2MiB live, 125.9MiB allocated
Counts
21 → 150
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))
#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))
(sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.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 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
#s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(sin.f64 (/.f64 x y))
(/.f64 x y)
(*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))
(/.f64 (*.f64 x x) y)
(sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(cos.f64 (/.f64 x y))
Outputs
(/ -1 (cos (PI)))
(- (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))
(- (* 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))))
(- (* x (- (* x (- (* -1 (* x (+ (* -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))))) (+ (* -1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))))))) (+ (* 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))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 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))))))
(cos (PI))
(+ (cos (PI)) (* 1/2 (/ (* x (sin (PI))) y)))
(+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* -1/2 (/ (sin (PI)) y)))))
(+ (cos (PI)) (* x (- (* x (+ (* -1/8 (/ (cos (PI)) (pow y 2))) (* -1/48 (/ (* x (sin (PI))) (pow y 3))))) (* -1/2 (/ (sin (PI)) y)))))
(PI)
(+ (PI) (* -1/2 (/ x y)))
-1
(- (* -1/8 (/ (pow x 2) (pow y 2))) 1)
(- (* (pow x 2) (- (* -5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))) 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))))) 1)
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)))
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))))))
(+ (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))))))))
(/ 1 (sin (* 1/2 (PI))))
(+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI)))))
(+ (* 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)))))
(+ (* 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)))))
(* 1/2 (PI))
(+ (* -1/2 (/ x y)) (* 1/2 (PI)))
(* 1/2 (/ x y))
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* 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))))
(- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* 269/64512 (/ 1 (pow y 6))) (* 443/80640 (/ 1 (pow y 6))))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))) 1)
(/ x y)
(* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))
(* 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)))
(* -1 (/ x y))
(* x (- (* 7/24 (/ (pow x 2) (pow y 3))) (/ 1 y)))
(* x (- (* (pow x 2) (+ (* -61/1920 (/ (pow x 2) (pow y 5))) (* 7/24 (/ 1 (pow y 3))))) (/ 1 y)))
(* x (- (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* 101/64512 (/ 1 (pow y 7))) (* 1/7680 (/ 1 (pow y 7))))) (* 61/1920 (/ 1 (pow y 5))))) (* 7/24 (/ 1 (pow y 3))))) (/ 1 y)))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* 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))))
(/ (pow x 2) y)
(* -1/2 (/ x y))
(* x (- (* 1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (- (* (pow x 2) (+ (* -1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* 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))))
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))
(+ 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))))))
(/ -1 (cos (- (PI) (* 1/2 (/ x y)))))
(/ 1 (cos (* 1/2 (/ x y))))
(cos (- (PI) (* 1/2 (/ x y))))
(* x (- (/ (PI) x) (* 1/2 (/ 1 y))))
(/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (sin (* 1/2 (/ x y)))))
(sin (- (* 1/2 (PI)) (* 1/2 (/ x y))))
(/ 1 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y)))))
(* x (- (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))
(* 1/24 (/ (pow x 3) (pow y 3)))
(* (pow x 3) (+ (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/24 (/ 1 (pow y 3)))))
(* -1/48 (/ (pow x 3) (pow y 3)))
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3)))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (/ x y)) (* (sin (* -1/2 (/ x y))) (+ 1 (cos (/ x y)))))
(sin (/ x y))
(* (sin (* -1/2 (/ x y))) (+ 1 (cos (/ x y))))
(sin (* 1/2 (/ x y)))
(sin (* -1/2 (/ x y)))
(cos (/ x y))
(/ -1 (cos (+ (PI) (* -1/2 (/ x y)))))
(cos (+ (PI) (* -1/2 (/ x y))))
(* -1 (* x (+ (* -1 (/ (PI) x)) (* 1/2 (/ 1 y)))))
(sin (+ (* -1/2 (/ x y)) (* 1/2 (PI))))
(/ 1 (sin (+ (* -1/2 (/ x y)) (* 1/2 (PI)))))
(* -1 (* x (+ (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))))
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y))))))
(/ (+ (* -1/2 x) (* y (PI))) y)
(/ (+ (* -1/2 x) (* 1/2 (* y (PI)))) y)
(/ (+ (* 1/24 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3))
(/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3))
(- (* -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)))))
(- (* -1 (/ (+ (* -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)))) (+ (* -1/16 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))) (* 1/48 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))))) (pow y 3))) (+ (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (+ (* 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 (cos (PI)))))))
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 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))))))
(- (+ 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)))))))))
(- (+ (cos (PI)) (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2)))) (* -1/2 (/ (* x (sin (PI))) y)))
(- (+ (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)))
(- (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (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)))) (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (+ 1 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (* 1/24 (/ (pow x 2) (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)))) (+ (* 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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 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))) (* 1/24 (/ (pow x 2) (pow y 2))))))))))
(+ (sin (* 1/2 (PI))) (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)) (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2)))))
(+ (sin (* 1/2 (PI))) (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)) (+ (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))) (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow y 3))))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))) (pow y 2))) (/ 1 (sin (* 1/2 (PI))))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))))
(- (+ (* -1 (/ (+ (* -1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))) (+ (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))))) (sin (* 1/2 (PI))))))) (pow y 3))) (/ 1 (sin (* 1/2 (PI))))) (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* (pow y 2) (sin (* 1/2 (PI)))))))))
(/ (+ (* 1/24 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ (* -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)
(/ (- (+ (* -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)
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(+ (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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(* -1 (/ (+ (* -1/2 x) (* -1/24 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))
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(- (* 1/6 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (* x (pow y 2))))))
(- (+ (* -1/120 (/ (pow x 4) (pow y 4))) (* 1/6 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1 (/ (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (* x (pow y 2)))) (+ (* -1 (/ (+ (* 1/1920 (pow x 5)) (+ (* 1/96 (pow x 5)) (* 1/48 (pow x 5)))) (* x (pow y 4)))) (/ (* (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (- (* 1/6 (pow x 2)) (* -1 (/ (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) x)))) (* x (pow y 4)))))))
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(* -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))
(* -1 (/ (+ x (+ (* -1/4 (/ (pow x 3) (pow y 2))) (* -1/24 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ x (+ (* -1/4 (/ (pow x 3) (pow y 2))) (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* 1/1920 (/ (pow x 5) (pow y 4))) (+ (* 1/96 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 5) (pow y 4)))))))) y))
(* -1 (/ (+ x (+ (* -1/4 (/ (pow x 3) (pow y 2))) (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* -1/1152 (/ (pow x 7) (pow y 6))) (+ (* -1/1440 (/ (pow x 7) (pow y 6))) (+ (* -1/7680 (/ (pow x 7) (pow y 6))) (+ (* -1/322560 (/ (pow x 7) (pow y 6))) (+ (* 1/1920 (/ (pow x 5) (pow y 4))) (+ (* 1/96 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 5) (pow y 4)))))))))))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -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))
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y))
(* -1 (/ (+ (* -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))
Calls

6 calls:

TimeVariablePointExpression
18.0ms
y
@inf
((/ -1 (cos (+ (* -1/2 (/ x y)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* -1/2 (/ x y)) (PI))) (+ (* -1/2 (/ x y)) (PI)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (+ (* 1/2 x) (* (/ 1/24 y) (/ (pow x 3) y))) y) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ (/ x y) -2)))) (sin (/ x y)) (/ x y) (* (+ (cos (/ x y)) 1) (sin (/ (/ x y) -2))) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ (/ x y) -2)) (cos (/ x y)))
14.0ms
x
@-inf
((/ -1 (cos (+ (* -1/2 (/ x y)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* -1/2 (/ x y)) (PI))) (+ (* -1/2 (/ x y)) (PI)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (+ (* 1/2 x) (* (/ 1/24 y) (/ (pow x 3) y))) y) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ (/ x y) -2)))) (sin (/ x y)) (/ x y) (* (+ (cos (/ x y)) 1) (sin (/ (/ x y) -2))) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ (/ x y) -2)) (cos (/ x y)))
11.0ms
y
@0
((/ -1 (cos (+ (* -1/2 (/ x y)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* -1/2 (/ x y)) (PI))) (+ (* -1/2 (/ x y)) (PI)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (+ (* 1/2 x) (* (/ 1/24 y) (/ (pow x 3) y))) y) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ (/ x y) -2)))) (sin (/ x y)) (/ x y) (* (+ (cos (/ x y)) 1) (sin (/ (/ x y) -2))) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ (/ x y) -2)) (cos (/ x y)))
8.0ms
y
@-inf
((/ -1 (cos (+ (* -1/2 (/ x y)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* -1/2 (/ x y)) (PI))) (+ (* -1/2 (/ x y)) (PI)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (+ (* 1/2 x) (* (/ 1/24 y) (/ (pow x 3) y))) y) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ (/ x y) -2)))) (sin (/ x y)) (/ x y) (* (+ (cos (/ x y)) 1) (sin (/ (/ x y) -2))) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ (/ x y) -2)) (cos (/ x y)))
7.0ms
x
@0
((/ -1 (cos (+ (* -1/2 (/ x y)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* -1/2 (/ x y)) (PI))) (+ (* -1/2 (/ x y)) (PI)) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (+ (* 1/2 x) (* (/ 1/24 y) (/ (pow x 3) y))) y) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ (sin (/ x y)) (* (+ (cos (/ x y)) 1) (sin (/ (/ x y) -2)))) (sin (/ x y)) (/ x y) (* (+ (cos (/ x y)) 1) (sin (/ (/ x y) -2))) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ (/ x y) -2)) (cos (/ x y)))

simplify228.0ms (2%)

Memory
-6.3MiB live, 268.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010705571
136585014
090474752
Stop Event
iter limit
node limit
Counts
150 → 150
Calls
Call 1
Inputs
(/ -1 (cos (PI)))
(- (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))
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(+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* 1/2 (* x (sin (PI))))) y)))
(+ (cos (PI)) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (PI)))) (* -1/48 (/ (* (pow x 3) (sin (PI))) y))) y)) (* 1/2 (* x (sin (PI))))) y)))
(- (* -2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (pow y 2)))))
(- (+ (* -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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (* 1/24 (/ (pow x 2) (pow y 2)))))))
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(+ (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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(* -1 (/ (+ (* -1/2 x) (* -1/24 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))
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(* -1 (/ (+ x (+ (* -1/4 (/ (pow x 3) (pow y 2))) (* -1/24 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ x (+ (* -1/4 (/ (pow x 3) (pow y 2))) (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* 1/1920 (/ (pow x 5) (pow y 4))) (+ (* 1/96 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 5) (pow y 4)))))))) y))
(* -1 (/ (+ x (+ (* -1/4 (/ (pow x 3) (pow y 2))) (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* -1/1152 (/ (pow x 7) (pow y 6))) (+ (* -1/1440 (/ (pow x 7) (pow y 6))) (+ (* -1/7680 (/ (pow x 7) (pow y 6))) (+ (* -1/322560 (/ (pow x 7) (pow y 6))) (+ (* 1/1920 (/ (pow x 5) (pow y 4))) (+ (* 1/96 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 5) (pow y 4)))))))))))) y))
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Outputs
(/ -1 (cos (PI)))
#s(literal 1 binary64)
(- (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))
#s(literal 1 binary64)
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1
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(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
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(cos (PI))
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#s(literal -1 binary64)
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(PI)
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(- (* (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))))) 1)
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(sin (* 1/2 (PI)))
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(/ 1 (sin (* 1/2 (PI))))
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(* -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))
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(* -1 (/ (+ x (+ (* -1/4 (/ (pow x 3) (pow y 2))) (* -1/24 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -7/24 binary64) x) (neg.f64 y))
(* -1 (/ (+ x (+ (* -1/4 (/ (pow x 3) (pow y 2))) (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* 1/1920 (/ (pow x 5) (pow y 4))) (+ (* 1/96 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 5) (pow y 4)))))))) y))
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -7/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 61/1920 binary64) x)) (neg.f64 y))
(* -1 (/ (+ x (+ (* -1/4 (/ (pow x 3) (pow y 2))) (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* -1/1152 (/ (pow x 7) (pow y 6))) (+ (* -1/1440 (/ (pow x 7) (pow y 6))) (+ (* -1/7680 (/ (pow x 7) (pow y 6))) (+ (* -1/322560 (/ (pow x 7) (pow y 6))) (+ (* 1/1920 (/ (pow x 5) (pow y 4))) (+ (* 1/96 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 5) (pow y 4)))))))))))) y))
(/.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -7/24 binary64) x) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/640 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -43/322560 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 61/1920 binary64))))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (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))) (neg.f64 y))
(* -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))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (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 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y))
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))
(/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 y))
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y))
(/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (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))) (neg.f64 y))
(* -1 (/ (+ (* -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))
(/.f64 (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 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (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)))) (neg.f64 y))

rewrite267.0ms (2.4%)

Memory
18.6MiB live, 264.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054279
086268
1290263
21902263
08667263
Stop Event
iter limit
node limit
iter limit
Counts
21 → 393
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))
#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))
(sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.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 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
#s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(sin.f64 (/.f64 x y))
(/.f64 x y)
(*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))
(/.f64 (*.f64 x x) y)
(sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(cos.f64 (/.f64 x y))
Outputs
(*.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 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 (exp.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (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))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 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 (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))))
#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 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64)) #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)))))))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.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) (neg.f64 (PI.f64))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 (cos.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) (neg.f64 (PI.f64))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) (+.f64 (sin.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 (cos.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) (neg.f64 (PI.f64))))) (+.f64 (sin.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 (cos.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) (neg.f64 (PI.f64))))) (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64)) #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))))))
(neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))
(fma.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))))))
(fma.f64 (sin.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) #s(literal 0 binary64) (*.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) #s(literal 0 binary64) (*.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(fma.f64 #s(literal 0 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (*.f64 #s(literal 0 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))))
(fma.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))) (sin.f64 (neg.f64 (PI.f64)))))
(fma.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64) (*.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(fma.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 (PI.f64)))))
(fma.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) #s(literal 0 binary64)))
(sin.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(sin.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))))
(sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) (PI.f64)))
(sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)) (PI.f64)))
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(/.f64 (*.f64 x x) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 x x) y)
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) y))
(neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(fma.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64)))
(sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))
(sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(-.f64 (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (neg.f64 (PI.f64)))))
(cos.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))
(fma.f64 (neg.f64 (sin.f64 (/.f64 x y))) #s(literal 0 binary64) (cos.f64 (/.f64 x y)))
(fma.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))))
(fma.f64 (sin.f64 (/.f64 x y)) #s(literal 0 binary64) (cos.f64 (/.f64 x y)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))))
(sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))
(cos.f64 (/.f64 (neg.f64 x) y))
(cos.f64 (/.f64 x y))
(+.f64 (*.f64 (neg.f64 (sin.f64 (/.f64 x y))) #s(literal 0 binary64)) (cos.f64 (/.f64 x y)))
(+.f64 (*.f64 (sin.f64 (/.f64 x y)) #s(literal 0 binary64)) (cos.f64 (/.f64 x y)))
(+.f64 (cos.f64 (/.f64 x y)) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))))

eval102.0ms (0.9%)

Memory
-10.9MiB live, 176.7MiB allocated
Compiler

Compiled 22 797 to 2 904 computations (87.3% saved)

prune80.0ms (0.7%)

Memory
-2.6MiB live, 131.7MiB allocated
Pruning

47 alts after pruning (43 fresh and 4 done)

PrunedKeptTotal
New51131542
Fresh61218
Picked325
Done022
Total52047567
Accuracy
62.9%
Counts
567 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.6%
(/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.6%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))
4.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
5.1%
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (PI.f64)))))
4.5%
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (/.f64 (+.f64 (/.f64 (neg.f64 x) y) (PI.f64)) #s(literal 2 binary64))))
44.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
4.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.6%
(/.f64 (sin.f64 (/.f64 x y)) (fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (/.f64 x y)))))
4.2%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
4.1%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
6.3%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))))
5.8%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
4.6%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(approx (sin (/ (/ x y) -2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
3.7%
(/.f64 (cos.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
22.6%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 y (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 1/24 binary64) y)))) (*.f64 y y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
35.6%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 #s(literal -1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) (neg.f64 y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
44.3%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
2.8%
(/.f64 #s(approx (tan (/ x (* y 2))) #s(approx (/ (+ (* 1/2 x) (* (/ 1/24 y) (/ (pow x 3) y))) y) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
38.2%
(/.f64 #s(approx (tan (/ x (* y 2))) #s(approx (/ (+ (* 1/2 x) (* (/ 1/24 y) (/ (pow x 3) y))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
7.0%
#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))
51.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
52.5%
#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)))
54.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))))))
54.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal 4 binary64))))
54.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (sin.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
54.5%
#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))))))
54.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))))
54.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))))
55.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x (*.f64 (PI.f64) y))) y)))))
54.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)))))
54.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64)))))))
54.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
54.7%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)))))
54.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
54.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
54.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.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))) (sin.f64 (neg.f64 (PI.f64)))))))
54.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) #s(literal 2 binary64))))
54.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (cos.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) (neg.f64 (PI.f64))))) (+.f64 (sin.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal 2 binary64))))
54.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
55.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
52.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))))))
52.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))))))
55.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64)))))
54.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* -1/2 (/ x y)) (PI)) (*.f64 (-.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)))))
48.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #s(literal -1 binary64)))))
51.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
55.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Compiler

Compiled 2 967 to 1 874 computations (36.8% saved)

simplify111.0ms (1%)

Memory
-17.6MiB live, 127.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(sin.f64 (/.f64 x y))
cost-diff4
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))
cost-diff5
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
cost-diff1
(/.f64 #s(literal -1 binary64) (fma.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))) (sin.f64 (neg.f64 (PI.f64))))))
cost-diff2
(sin.f64 (neg.f64 (PI.f64)))
cost-diff2
(fma.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))) (sin.f64 (neg.f64 (PI.f64)))))
cost-diff7
(*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 (PI.f64))))
cost-diff0
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))))
cost-diff1
(+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64))
cost-diff2
(+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))
cost-diff4
(sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))
cost-diff0
(*.f64 #s(literal 1/8 binary64) x)
cost-diff0
(/.f64 (*.f64 #s(literal 1/8 binary64) x) y)
cost-diff0
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64)))))
cost-diff1
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64))))
cost-diff2
(+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64))
cost-diff2
(cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050434
085399
1145358
2318331
3706331
41501331
53276329
67483329
08037325
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64)))))
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64))))
#s(literal -1 binary64)
(cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64)))
(+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64))
(+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (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)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/8 binary64) x) y)
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
y
(/.f64 x y)
#s(literal 1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64))))
#s(literal 1 binary64)
(sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))
(+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64))
(+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.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))) (sin.f64 (neg.f64 (PI.f64)))))))
(/.f64 #s(literal -1 binary64) (fma.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))) (sin.f64 (neg.f64 (PI.f64))))))
#s(literal -1 binary64)
(fma.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))) (sin.f64 (neg.f64 (PI.f64)))))
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x y) #s(literal -1/2 binary64))
(/.f64 x y)
x
y
#s(literal -1/2 binary64)
(*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 (PI.f64))))
(sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(sin.f64 (neg.f64 (PI.f64)))
(neg.f64 (PI.f64))
(PI.f64)
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(sin.f64 (/.f64 x y))
(/.f64 x y)
x
y
(*.f64 (+.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(+.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 1 binary64))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal 1 binary64)
(sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (/.f64 x y) #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
#s(literal -1 binary64)
(cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))
(+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64))
(fma.f64 #s(literal 3 binary64) (PI.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64))
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))
(/.f64 x y)
x
y
#s(literal -1/2 binary64)
(PI.f64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/8 binary64) x) y)
(*.f64 #s(literal 1/8 binary64) (/.f64 x y))
(*.f64 #s(literal 1/8 binary64) x)
#s(literal 1/8 binary64)
x
y
(/.f64 x y)
#s(literal 1 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
#s(literal 1 binary64)
(sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (fma.f64 (PI.f64) #s(literal 3/2 binary64) (PI.f64)))
(+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (*.f64 (PI.f64) #s(literal 3/2 binary64)))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.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))) (sin.f64 (neg.f64 (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(/.f64 #s(literal -1 binary64) (fma.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))) (sin.f64 (neg.f64 (PI.f64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))
#s(literal -1 binary64)
(fma.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))) (sin.f64 (neg.f64 (PI.f64)))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(*.f64 (/.f64 x y) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 x y))
(/.f64 x y)
x
y
#s(literal -1/2 binary64)
(*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 (PI.f64))))
#s(literal 0 binary64)
(sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(sin.f64 (neg.f64 (PI.f64)))
#s(literal 0 binary64)
(neg.f64 (PI.f64))
(PI.f64)
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(sin.f64 (/.f64 x y))
(/.f64 x y)
x
y
(*.f64 (+.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))
(+.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 1 binary64))
(+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))
(cos.f64 (/.f64 x y))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal 1 binary64)
(sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (/.f64 x y) #s(literal -2 binary64))
#s(literal -2 binary64)

localize635.0ms (5.7%)

Memory
30.3MiB live, 713.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy6.629651191724058
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
accuracy28.781887006100636
(sin.f64 (/.f64 x y))
accuracy28.800952488410204
(sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
accuracy28.949576713803225
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))
accuracy0.1015625
(/.f64 #s(literal -1 binary64) (fma.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))) (sin.f64 (neg.f64 (PI.f64))))))
accuracy28.800952488410204
(sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))
accuracy28.82459351716688
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))
accuracy61.92199421717352
(sin.f64 (neg.f64 (PI.f64)))
accuracy0.0078125
(+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64))
accuracy0.015625
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy0.1015625
(/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64))))
accuracy28.980432455064165
(sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))
accuracy0.0
(/.f64 x y)
accuracy0.0
(*.f64 #s(literal 1/8 binary64) x)
accuracy0.13347626953688402
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
accuracy31.345846625738318
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
accuracy0.0078125
(+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64))
accuracy0.01953125
(+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64))
accuracy0.1015625
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64))))
accuracy28.675564806032188
(cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64)))
Samples
347.0ms139×2valid
208.0ms117×1valid
Compiler

Compiled 387 to 51 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 469.0ms
ival-sin: 260.0ms (55.5% of total)
ival-div: 76.0ms (16.2% of total)
adjust: 39.0ms (8.3% of total)
ival-cos: 28.0ms (6% of total)
ival-add: 26.0ms (5.5% of total)
ival-mult: 25.0ms (5.3% of total)
ival-tan: 7.0ms (1.5% of total)
ival-pi: 3.0ms (0.6% of total)
ival-neg: 3.0ms (0.6% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series57.0ms (0.5%)

Memory
-20.2MiB live, 69.0MiB allocated
Counts
26 → 158
Calls
Call 1
Inputs
(cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64)))
(+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64))
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/8 binary64) x) y)
(*.f64 #s(literal 1/8 binary64) x)
(sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))
(+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))
(+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))))
(*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 (PI.f64))))
(fma.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))) (sin.f64 (neg.f64 (PI.f64)))))
(sin.f64 (neg.f64 (PI.f64)))
(/.f64 #s(literal -1 binary64) (fma.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))) (sin.f64 (neg.f64 (PI.f64))))))
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(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)
(/ (+ 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)
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(+ 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))))))
(/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)
(/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -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)
(+ (cos (+ (PI) (* 2 (PI)))) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (+ (PI) (* 2 (PI))))) y)) (* 1/2 (* x (sin (+ (PI) (* 2 (PI))))))) y)))
(+ (cos (+ (PI) (* 2 (PI)))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (+ (PI) (* 2 (PI)))))) (* -1/48 (/ (* (pow x 3) (sin (+ (PI) (* 2 (PI))))) y))) y)) (* 1/2 (* x (sin (+ (PI) (* 2 (PI))))))) y)))
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(* -1 (/ (+ (* -1/48 (/ (* (pow x 3) (sin (neg (PI)))) (pow y 2))) (* 1/2 (* x (sin (neg (PI)))))) y))
(* -1 (/ (+ (* -1/48 (/ (* (pow x 3) (sin (neg (PI)))) (pow y 2))) (+ (* 1/3840 (/ (* (pow x 5) (sin (neg (PI)))) (pow y 4))) (* 1/2 (* x (sin (neg (PI))))))) y))
(* -1 (/ (+ (* -1/48 (/ (* (pow x 3) (sin (neg (PI)))) (pow y 2))) (+ (* -1/645120 (/ (* (pow x 7) (sin (neg (PI)))) (pow y 6))) (+ (* 1/3840 (/ (* (pow x 5) (sin (neg (PI)))) (pow y 4))) (* 1/2 (* x (sin (neg (PI)))))))) y))
(- (* -1 (/ (+ (* -1/8 (/ (pow x 2) y)) (* 1/2 (* x (sin (neg (PI)))))) y)) 1)
(- (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (sin (neg (PI)))) y)) (* 1/8 (pow x 2))) y)) (* 1/2 (* x (sin (neg (PI)))))) y)) 1)
(+ 1 (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (sin (neg (PI))) 2)) y)) (* -1/8 (/ (pow x 2) y))) (* -1/2 (* x (sin (neg (PI)))))) y)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow x 3) (sin (neg (PI)))) y)) (+ (* 1/48 (/ (* (pow x 3) (sin (neg (PI)))) y)) (* 1/2 (/ (* x (* (sin (neg (PI))) (+ (* -1/4 (* (pow x 2) (pow (sin (neg (PI))) 2))) (* -1/8 (pow x 2))))) y)))) (+ (* -1/4 (* (pow x 2) (pow (sin (neg (PI))) 2))) (* -1/8 (pow x 2)))) y)) (* -1/2 (* x (sin (neg (PI)))))) y)))
(- (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ (pow x 2) (+ 1 (sin (* 1/2 (PI)))))) (+ (* -4 (/ (+ (* -1/4 (* (pow x 3) (sin (* 1/2 (PI))))) (* -1/48 (* (pow x 3) (+ 1 (sin (* 1/2 (PI))))))) (* x (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) (* 2 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (+ 1 (sin (* 1/2 (PI)))) 3))))) y)) (* 2 (/ (* x (cos (* 1/2 (PI)))) (pow (+ 1 (sin (* 1/2 (PI)))) 2)))) y)) (* 2 (/ 1 (+ 1 (sin (* 1/2 (PI)))))))
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(* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))
(* -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))
(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (PI)))) 2)) (* y (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (+ (* 1/2 (PI)) (* 2 (PI)))))))) (* -1/2 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))) y)) (/ 1 (sin (+ (* 1/2 (PI)) (* 2 (PI))))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow x 3) (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (* y (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))) (+ (* 1/48 (/ (* (pow x 3) (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (* y (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))) (* 1/2 (/ (* x (* (cos (+ (* 1/2 (PI)) (* 2 (PI)))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (PI)))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 3))) (* -1/8 (/ (pow x 2) (sin (+ (* 1/2 (PI)) (* 2 (PI))))))))) (* y (sin (+ (* 1/2 (PI)) (* 2 (PI))))))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (PI)))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 3))) (* -1/8 (/ (pow x 2) (sin (+ (* 1/2 (PI)) (* 2 (PI)))))))) y)) (* -1/2 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))) y)) (/ 1 (sin (+ (* 1/2 (PI)) (* 2 (PI))))))
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y))
(* -1 (/ (+ (* -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))
Calls

6 calls:

TimeVariablePointExpression
13.0ms
x
@0
((cos (+ (+ (+ (* (/ x y) -1/2) (PI)) (PI)) (PI))) (+ (+ (+ (* (/ x y) -1/2) (PI)) (PI)) (PI)) (/ -1 (cos (+ (+ (+ (* (/ x y) -1/2) (PI)) (PI)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (sin (+ (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (PI))) (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (+ (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (sin (* (/ x y) -1/2)) (sin (neg (PI)))) (+ (* (cos (* (/ x y) -1/2)) -1) (* (sin (* (/ x y) -1/2)) (sin (neg (PI))))) (sin (neg (PI))) (/ -1 (+ (* (cos (* (/ x y) -1/2)) -1) (* (sin (* (/ x y) -1/2)) (sin (neg (PI)))))) (/ (sin (/ x y)) (* (+ (sin (+ (/ (PI) 2) (/ x y))) 1) (sin (/ (/ x y) -2)))) (sin (+ (/ (PI) 2) (/ x y))) (sin (/ x y)) (/ x y) (+ (+ (* (/ x y) -1/2) (PI)) (PI)) (/ 1 (sin (+ (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (PI)))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (cos (* (/ x y) -1/2)) (sin (* (/ x y) -1/2)) (sin (/ (/ x y) -2)))
10.0ms
y
@-inf
((cos (+ (+ (+ (* (/ x y) -1/2) (PI)) (PI)) (PI))) (+ (+ (+ (* (/ x y) -1/2) (PI)) (PI)) (PI)) (/ -1 (cos (+ (+ (+ (* (/ x y) -1/2) (PI)) (PI)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (sin (+ (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (PI))) (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (+ (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (sin (* (/ x y) -1/2)) (sin (neg (PI)))) (+ (* (cos (* (/ x y) -1/2)) -1) (* (sin (* (/ x y) -1/2)) (sin (neg (PI))))) (sin (neg (PI))) (/ -1 (+ (* (cos (* (/ x y) -1/2)) -1) (* (sin (* (/ x y) -1/2)) (sin (neg (PI)))))) (/ (sin (/ x y)) (* (+ (sin (+ (/ (PI) 2) (/ x y))) 1) (sin (/ (/ x y) -2)))) (sin (+ (/ (PI) 2) (/ x y))) (sin (/ x y)) (/ x y) (+ (+ (* (/ x y) -1/2) (PI)) (PI)) (/ 1 (sin (+ (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (PI)))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (cos (* (/ x y) -1/2)) (sin (* (/ x y) -1/2)) (sin (/ (/ x y) -2)))
9.0ms
y
@inf
((cos (+ (+ (+ (* (/ x y) -1/2) (PI)) (PI)) (PI))) (+ (+ (+ (* (/ x y) -1/2) (PI)) (PI)) (PI)) (/ -1 (cos (+ (+ (+ (* (/ x y) -1/2) (PI)) (PI)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (sin (+ (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (PI))) (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (+ (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (sin (* (/ x y) -1/2)) (sin (neg (PI)))) (+ (* (cos (* (/ x y) -1/2)) -1) (* (sin (* (/ x y) -1/2)) (sin (neg (PI))))) (sin (neg (PI))) (/ -1 (+ (* (cos (* (/ x y) -1/2)) -1) (* (sin (* (/ x y) -1/2)) (sin (neg (PI)))))) (/ (sin (/ x y)) (* (+ (sin (+ (/ (PI) 2) (/ x y))) 1) (sin (/ (/ x y) -2)))) (sin (+ (/ (PI) 2) (/ x y))) (sin (/ x y)) (/ x y) (+ (+ (* (/ x y) -1/2) (PI)) (PI)) (/ 1 (sin (+ (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (PI)))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (cos (* (/ x y) -1/2)) (sin (* (/ x y) -1/2)) (sin (/ (/ x y) -2)))
7.0ms
x
@-inf
((cos (+ (+ (+ (* (/ x y) -1/2) (PI)) (PI)) (PI))) (+ (+ (+ (* (/ x y) -1/2) (PI)) (PI)) (PI)) (/ -1 (cos (+ (+ (+ (* (/ x y) -1/2) (PI)) (PI)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (sin (+ (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (PI))) (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (+ (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (sin (* (/ x y) -1/2)) (sin (neg (PI)))) (+ (* (cos (* (/ x y) -1/2)) -1) (* (sin (* (/ x y) -1/2)) (sin (neg (PI))))) (sin (neg (PI))) (/ -1 (+ (* (cos (* (/ x y) -1/2)) -1) (* (sin (* (/ x y) -1/2)) (sin (neg (PI)))))) (/ (sin (/ x y)) (* (+ (sin (+ (/ (PI) 2) (/ x y))) 1) (sin (/ (/ x y) -2)))) (sin (+ (/ (PI) 2) (/ x y))) (sin (/ x y)) (/ x y) (+ (+ (* (/ x y) -1/2) (PI)) (PI)) (/ 1 (sin (+ (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (PI)))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (cos (* (/ x y) -1/2)) (sin (* (/ x y) -1/2)) (sin (/ (/ x y) -2)))
7.0ms
x
@inf
((cos (+ (+ (+ (* (/ x y) -1/2) (PI)) (PI)) (PI))) (+ (+ (+ (* (/ x y) -1/2) (PI)) (PI)) (PI)) (/ -1 (cos (+ (+ (+ (* (/ x y) -1/2) (PI)) (PI)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (sin (+ (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (PI))) (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (+ (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (* (sin (* (/ x y) -1/2)) (sin (neg (PI)))) (+ (* (cos (* (/ x y) -1/2)) -1) (* (sin (* (/ x y) -1/2)) (sin (neg (PI))))) (sin (neg (PI))) (/ -1 (+ (* (cos (* (/ x y) -1/2)) -1) (* (sin (* (/ x y) -1/2)) (sin (neg (PI)))))) (/ (sin (/ x y)) (* (+ (sin (+ (/ (PI) 2) (/ x y))) 1) (sin (/ (/ x y) -2)))) (sin (+ (/ (PI) 2) (/ x y))) (sin (/ x y)) (/ x y) (+ (+ (* (/ x y) -1/2) (PI)) (PI)) (/ 1 (sin (+ (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (PI)))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (cos (* (/ x y) -1/2)) (sin (* (/ x y) -1/2)) (sin (/ (/ x y) -2)))

simplify186.0ms (1.7%)

Memory
28.3MiB live, 214.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010765813
136415276
086845017
Stop Event
iter limit
node limit
Counts
158 → 158
Calls
Call 1
Inputs
(cos (+ (PI) (* 2 (PI))))
(+ (cos (+ (PI) (* 2 (PI)))) (* 1/2 (/ (* x (sin (+ (PI) (* 2 (PI))))) y)))
(+ (cos (+ (PI) (* 2 (PI)))) (* x (- (* -1/8 (/ (* x (cos (+ (PI) (* 2 (PI))))) (pow y 2))) (* -1/2 (/ (sin (+ (PI) (* 2 (PI)))) y)))))
(+ (cos (+ (PI) (* 2 (PI)))) (* x (- (* x (+ (* -1/8 (/ (cos (+ (PI) (* 2 (PI)))) (pow y 2))) (* -1/48 (/ (* x (sin (+ (PI) (* 2 (PI))))) (pow y 3))))) (* -1/2 (/ (sin (+ (PI) (* 2 (PI)))) y)))))
(+ (PI) (* 2 (PI)))
(+ (PI) (+ (* -1/2 (/ x y)) (* 2 (PI))))
(/ -1 (cos (+ (PI) (* 2 (PI)))))
(- (* 1/2 (/ (* x (sin (+ (PI) (* 2 (PI))))) (* y (pow (cos (+ (PI) (* 2 (PI)))) 2)))) (/ 1 (cos (+ (PI) (* 2 (PI))))))
(- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (cos (+ (PI) (* 2 (PI))))))) (* 1/4 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (* (pow y 2) (pow (cos (+ (PI) (* 2 (PI)))) 3))))))) (* -1/2 (/ (sin (+ (PI) (* 2 (PI)))) (* y (pow (cos (+ (PI) (* 2 (PI)))) 2)))))) (/ 1 (cos (+ (PI) (* 2 (PI))))))
(- (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (sin (+ (PI) (* 2 (PI)))) (+ (* 1/4 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (* (pow y 2) (pow (cos (+ (PI) (* 2 (PI)))) 3)))) (* 1/8 (/ 1 (* (pow y 2) (cos (+ (PI) (* 2 (PI))))))))) (* y (cos (+ (PI) (* 2 (PI))))))) (+ (* -1/16 (/ (sin (+ (PI) (* 2 (PI)))) (* (pow y 3) (pow (cos (+ (PI) (* 2 (PI)))) 2)))) (* 1/48 (/ (sin (+ (PI) (* 2 (PI)))) (* (pow y 3) (pow (cos (+ (PI) (* 2 (PI)))) 2)))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (cos (+ (PI) (* 2 (PI))))))) (* 1/4 (/ (pow (sin (+ (PI) (* 2 (PI)))) 2) (* (pow y 2) (pow (cos (+ (PI) (* 2 (PI)))) 3))))))) (* -1/2 (/ (sin (+ (PI) (* 2 (PI)))) (* y (pow (cos (+ (PI) (* 2 (PI)))) 2)))))) (/ 1 (cos (+ (PI) (* 2 (PI))))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
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Outputs
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(-.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (/.f64 (neg.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) x (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) y) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) y))) y))
(* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 x)) (neg.f64 y))
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (+.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 y))
(* -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))
(/.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 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y))
(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (PI)))) 2)) (* y (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (+ (* 1/2 (PI)) (* 2 (PI)))))))) (* -1/2 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))) y)) (/ 1 (sin (+ (* 1/2 (PI)) (* 2 (PI))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64))) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -5/2 binary64))) #s(literal 2 binary64)) (*.f64 x x)) y) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64)))) (/.f64 (*.f64 x x) y) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -5/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64))) #s(literal 2 binary64))))))) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow x 3) (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (* y (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))) (+ (* 1/48 (/ (* (pow x 3) (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (* y (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))) (* 1/2 (/ (* x (* (cos (+ (* 1/2 (PI)) (* 2 (PI)))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (PI)))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 3))) (* -1/8 (/ (pow x 2) (sin (+ (* 1/2 (PI)) (* 2 (PI))))))))) (* y (sin (+ (* 1/2 (PI)) (* 2 (PI))))))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (PI)))) 2)) (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 3))) (* -1/8 (/ (pow x 2) (sin (+ (* 1/2 (PI)) (* 2 (PI)))))))) y)) (* -1/2 (/ (* x (cos (+ (* 1/2 (PI)) (* 2 (PI))))) (pow (sin (+ (* 1/2 (PI)) (* 2 (PI)))) 2)))) y)) (/ 1 (sin (+ (* 1/2 (PI)) (* 2 (PI))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -5/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal -1/24 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64)))) (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -5/2 binary64))) x) (fma.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -5/2 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64)))))) y))) (fma.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -5/2 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64)))))) y) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -5/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64))) #s(literal 2 binary64)))))) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 5/2 binary64)))))
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))
(/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 y))
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y))
(/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (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))) (neg.f64 y))
(* -1 (/ (+ (* -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))
(/.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)))) (neg.f64 y))

rewrite253.0ms (2.3%)

Memory
-12.1MiB live, 222.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049304
084284
1324236
22821227
08250223
Stop Event
iter limit
node limit
iter limit
Counts
26 → 767
Calls
Call 1
Inputs
(cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64)))
(+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64))
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/8 binary64) x) y)
(*.f64 #s(literal 1/8 binary64) x)
(sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))
(+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))
(+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))))
(*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (neg.f64 (PI.f64))))
(fma.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))) (sin.f64 (neg.f64 (PI.f64)))))
(sin.f64 (neg.f64 (PI.f64)))
(/.f64 #s(literal -1 binary64) (fma.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))) (sin.f64 (neg.f64 (PI.f64))))))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))
(sin.f64 (/.f64 x y))
(/.f64 x y)
(+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64))
(/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64))))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
Outputs
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 3 binary64)) #s(literal 0 binary64))) (+.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 2 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64))))))
(/.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 2 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64))))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 2 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)))))
(neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(fma.f64 (cos.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)) (PI.f64)))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)) (PI.f64)))) (*.f64 (sin.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)) (PI.f64)))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)) (PI.f64))))))
(fma.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 (PI.f64))))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 (PI.f64))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 (PI.f64))))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 (PI.f64)))))))
(fma.f64 (sin.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) #s(literal 0 binary64) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (neg.f64 (PI.f64)))) #s(literal 0 binary64) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))))))
(fma.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal 0 binary64) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)))
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(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (-.f64 (PI.f64) (PI.f64)))) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (sin.f64 (-.f64 (PI.f64) (PI.f64)))))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) (*.f64 #s(literal -1 binary64) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) (*.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (PI.f64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))))
(sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(fma.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))
(fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64)))
(sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))
(-.f64 (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64)))
(cos.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))

eval187.0ms (1.7%)

Memory
-20.9MiB live, 221.1MiB allocated
Compiler

Compiled 28 891 to 3 700 computations (87.2% saved)

prune167.0ms (1.5%)

Memory
12.8MiB live, 149.2MiB allocated
Pruning

55 alts after pruning (50 fresh and 5 done)

PrunedKeptTotal
New66322685
Fresh102838
Picked415
Done044
Total67755732
Accuracy
63.0%
Counts
732 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.6%
(/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.7%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
4.5%
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (/.f64 (+.f64 (/.f64 (neg.f64 x) y) (PI.f64)) #s(literal 2 binary64))))
44.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
4.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
2.9%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (cos.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (sin.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))))) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
4.2%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
5.8%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))))
5.9%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 1 binary64)) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
6.3%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))))
5.8%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
4.6%
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(approx (sin (/ (/ x y) -2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
3.6%
(/.f64 (cos.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (+.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
3.7%
(/.f64 (cos.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
22.6%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 y (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 1/24 binary64) y)))) (*.f64 y y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
35.6%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 #s(literal -1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) (neg.f64 y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
44.3%
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
2.8%
(/.f64 #s(approx (tan (/ x (* y 2))) #s(approx (/ (+ (* 1/2 x) (* (/ 1/24 y) (/ (pow x 3) y))) y) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
38.2%
(/.f64 #s(approx (tan (/ x (* y 2))) #s(approx (/ (+ (* 1/2 x) (* (/ 1/24 y) (/ (pow x 3) y))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
7.0%
#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))
48.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))
52.5%
#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)))
54.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))))))
54.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal 4 binary64))))
54.2%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (sin.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
53.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (PI.f64)))))
54.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)) (PI.f64)))))
8.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 #s(approx (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (PI.f64)))))
54.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 5/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))))
54.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (PI)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 5/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))))
54.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)))))
54.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64)))))))
54.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
54.7%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)))))
54.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (PI.f64)))))
54.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
54.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
55.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 1 binary64)))))
54.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.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))) (sin.f64 (neg.f64 (PI.f64)))))))
54.6%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) #s(literal 2 binary64))))
54.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (cos.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) (neg.f64 (PI.f64))))) (+.f64 (sin.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal 2 binary64))))
55.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 1 binary64)) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))))
54.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
54.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (PI.f64)))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (PI.f64)))))))
55.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))))
54.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 2 binary64) (PI.f64) (PI.f64))))))
55.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
52.3%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))))))
52.4%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))))))
54.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (PI.f64)) (PI.f64)))))
54.9%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (+ (+ (* (/ x y) -1/2) (PI)) (PI)) (PI)) (fma.f64 #s(literal 3 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))))
48.8%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #s(literal -1 binary64)))))
55.0%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))))
55.5%
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
4.1%
#s(approx (/ (sin (/ x y)) (* (+ (sin (+ (/ (PI) 2) (/ x y))) 1) (sin (/ (/ x y) -2)))) (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
Compiler

Compiled 4 585 to 1 699 computations (62.9% saved)

regimes123.0ms (1.1%)

Memory
28.0MiB live, 214.8MiB allocated
Counts
84 → 2
Calls
Call 1
Inputs
#s(literal 0 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))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #s(literal -1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 #s(approx (tan (/ x (* y 2))) #s(approx (/ (+ (* 1/2 x) (* (/ 1/24 y) (/ (pow x 3) y))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 #s(approx (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (*.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 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (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)) (PI)) (PI)) (fma.f64 #s(literal 3 binary64) (PI.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) (sin.f64 #s(approx (+ (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 5/2 binary64) (*.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 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 2 binary64) (PI.f64) (PI.f64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x (*.f64 (PI.f64) y))) y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.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 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* -1/2 (/ x y)) (PI)) (*.f64 (-.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (PI)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 5/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (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)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)) (PI.f64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
(/.f64 #s(approx (tan (/ x (* y 2))) #s(approx (/ (+ (* 1/2 x) (* (/ 1/24 y) (/ (pow x 3) y))) y) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
(/.f64 #s(approx (tan (/ x (* y 2))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (/.f64 #s(literal -1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) (neg.f64 y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 y (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 1/24 binary64) y)))) (*.f64 y y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (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))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
(/.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 y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (/.f64 (+.f64 (/.f64 (neg.f64 x) y) (PI.f64)) #s(literal 2 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #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)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64))))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.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))) (sin.f64 (neg.f64 (PI.f64)))))))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(approx (sin (/ (/ x y) -2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (sin.f64 (neg.f64 (PI.f64)))))))
#s(approx (/ (sin (/ x y)) (* (+ (sin (+ (/ (PI) 2) (/ x y))) 1) (sin (/ (/ x y) -2)))) (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 1 binary64)) (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))))
(/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 1 binary64)))))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (cos.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 1 binary64)) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (cos.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (+.f64 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (PI.f64)))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (PI.f64) (-.f64 (PI.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) (fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))))))
(/.f64 (sin.f64 (/.f64 x y)) (fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (/.f64 x y)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (neg.f64 x) y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (cos.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) (neg.f64 (PI.f64))))) (+.f64 (sin.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal 2 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) (-.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (neg.f64 (PI.f64)))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) #s(literal 2 binary64))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal 4 binary64))))
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (sin.f64 (-.f64 (*.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) (/.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64)) (*.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) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))))))))
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (cos.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (sin.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))))) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))))
#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))
Calls

5 calls:

33.0ms
x
22.0ms
(*.f64 y #s(literal 2 binary64))
21.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
21.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
20.0ms
y
Results
AccuracySegmentsBranch
55.5%1(*.f64 y #s(literal 2 binary64))
57.3%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
55.5%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
55.5%1x
55.5%1y
Compiler

Compiled 23 to 21 computations (8.7% saved)

regimes42.0ms (0.4%)

Memory
-59.1MiB live, 20.2MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
#s(literal 0 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))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #s(literal -1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 #s(approx (tan (/ x (* y 2))) #s(approx (/ (+ (* 1/2 x) (* (/ 1/24 y) (/ (pow x 3) y))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 #s(approx (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (*.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 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (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)) (PI)) (PI)) (fma.f64 #s(literal 3 binary64) (PI.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) (sin.f64 #s(approx (+ (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 5/2 binary64) (*.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 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 2 binary64) (PI.f64) (PI.f64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x (*.f64 (PI.f64) y))) y)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.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 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* -1/2 (/ x y)) (PI)) (*.f64 (-.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x)))))
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (PI)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 5/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x)))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x (*.f64 (PI.f64) y))) y)))))
#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))
Calls

1 calls:

7.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
57.3%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes9.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(literal 0 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))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #s(literal -1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 #s(approx (tan (/ x (* y 2))) #s(approx (/ (+ (* 1/2 x) (* (/ 1/24 y) (/ (pow x 3) y))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64)))))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 #s(approx (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (*.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 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (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)) (PI)) (PI)) (fma.f64 #s(literal 3 binary64) (PI.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) (sin.f64 #s(approx (+ (+ (+ (* (/ x y) 1/2) (/ (PI) 2)) (PI)) (PI)) (fma.f64 (PI.f64) #s(literal 5/2 binary64) (*.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 (+.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) (PI.f64)) (PI.f64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal 2 binary64) (PI.f64) (PI.f64))))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64)))))))
#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))
Calls

1 calls:

5.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
57.2%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes4.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(literal 0 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))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #s(literal -1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 #s(approx (tan (/ x (* y 2))) #s(approx (/ (+ (* 1/2 x) (* (/ 1/24 y) (/ (pow x 3) y))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))))
#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))
Calls

1 calls:

4.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
57.2%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes4.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 0 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))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #s(literal -1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 #s(approx (tan (/ x (* y 2))) #s(approx (/ (+ (* 1/2 x) (* (/ 1/24 y) (/ (pow x 3) y))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))
Calls

1 calls:

4.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
57.1%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

regimes10.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 0 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))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* -1/2 (/ x y)) (PI))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #s(literal -1 binary64)))))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 #s(approx (tan (/ x (* y 2))) #s(approx (/ (+ (* 1/2 x) (* (/ 1/24 y) (/ (pow x 3) y))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)))
Outputs
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
Calls

3 calls:

3.0ms
(*.f64 y #s(literal 2 binary64))
3.0ms
y
3.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
55.5%1(*.f64 y #s(literal 2 binary64))
55.5%1y
55.5%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes6.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

5 calls:

1.0ms
(*.f64 y #s(literal 2 binary64))
1.0ms
y
1.0ms
x
1.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
1.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
3.1%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
3.1%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
3.1%1x
3.1%1(*.f64 y #s(literal 2 binary64))
3.1%1y
Compiler

Compiled 23 to 21 computations (8.7% saved)

bsearch10.0ms (0.1%)

Memory
-45.9MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.301559459677084e+52
1.9976013804407636e+54
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.301559459677084e+52
1.9976013804407636e+54
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.301559459677084e+52
1.9976013804407636e+54
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.859493050972173e+83
3.390719255278759e+85
Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
44421150919145.125
50026310677033560.0
Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify71.0ms (0.6%)

Memory
25.8MiB live, 69.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069276
192276
2124276
3167276
4224276
5310276
6468276
7853276
81736276
93873276
107117276
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))))) #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 99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x (*.f64 (PI.f64) y))) y))))) #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 99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64))))))) #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 500000000000000028883304949057948351218633563548032068549020931617356167008462307328 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) #s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 50000000000000 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 0 binary64)
Outputs
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))))) #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 99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x (*.f64 (PI.f64) y))) y))))) #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 99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 x (*.f64 (PI.f64) y))) y))) #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 99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64))))))) #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 99999999999999999322094867436162797646170844194406400 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64))))) #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 500000000000000028883304949057948351218633563548032068549020931617356167008462307328 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) #s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 50000000000000 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #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 50000000000000 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.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)))
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))
#s(literal 0 binary64)

soundness2.8s (24.9%)

Memory
-13.3MiB live, 1 085.0MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034171
056171
1146171
2704171
37818171
08028171
0833
01317
12917
211817
38247
0104017
04853193
115263061
260863003
081942813
054279
086268
1290263
21902263
08667263
03161576
110061536
240331498
086801395
010705571
136585014
090474752
049304
084284
1324236
22821227
08250223
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 563 to 274 computations (51.3% saved)

preprocess85.0ms (0.8%)

Memory
27.9MiB live, 72.9MiB allocated
Compiler

Compiled 854 to 318 computations (62.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...