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

Time bar (total: 11.9s)

analyze285.0ms (2.4%)

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 16 to 9 computations (43.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
ival-div: 46.0ms (42% of total)
ival-mult: 30.0ms (27.4% of total)
ival-tan: 17.0ms (15.5% of total)
ival-sin: 13.0ms (11.9% of total)
const: 3.0ms (2.7% of total)
backward-pass: 1.0ms (0.9% of total)

sample1.5s (13%)

Results
917.0ms3992×1valid
342.0ms4264×0valid
Precisions
Click to see histograms. Total time spent on operations: 877.0ms
ival-sin: 241.0ms (27.5% of total)
ival-tan: 228.0ms (26% of total)
ival-div: 204.0ms (23.3% of total)
ival-mult: 115.0ms (13.1% of total)
backward-pass: 74.0ms (8.4% of total)
const: 14.0ms (1.6% of total)
Bogosity

preprocess36.0ms (0.3%)

Algorithm
egg-herbie
Rules
348×sum3-define
310×fma-define
242×fnmadd-define
166×fmsub-define
114×fnmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02684
15780
210878
316778
426278
552378
676978
7115378
8118978
9124378
10125978
0813
11113
21313
01313
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
Outputs
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Call 2
Inputs
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
(/ (tan (/ (neg x) (* y 2))) (sin (/ (neg x) (* y 2))))
(/ (tan (/ x (* (neg y) 2))) (sin (/ x (* (neg y) 2))))
(neg (/ (tan (/ (neg x) (* y 2))) (sin (/ (neg x) (* y 2)))))
(neg (/ (tan (/ x (* (neg y) 2))) (sin (/ x (* (neg y) 2)))))
(/ (tan (/ y (* x 2))) (sin (/ y (* x 2))))
Outputs
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
(/ (tan (* x (/ -1/2 y))) (sin (* x (/ -1/2 y))))
(/ (tan (/ (neg x) (* y 2))) (sin (/ (neg x) (* y 2))))
(/ (tan (* x (/ -1/2 y))) (sin (* x (/ -1/2 y))))
(/ (tan (/ x (* (neg y) 2))) (sin (/ x (* (neg y) 2))))
(/ (tan (* x (/ -1/2 y))) (sin (* x (/ -1/2 y))))
(neg (/ (tan (/ (neg x) (* y 2))) (sin (/ (neg x) (* y 2)))))
(/ (tan (* x (/ -1/2 y))) (sin (/ x (* y 2))))
(neg (/ (tan (/ x (* (neg y) 2))) (sin (/ x (* (neg y) 2)))))
(/ (tan (* x (/ -1/2 y))) (sin (/ x (* y 2))))
(/ (tan (/ y (* x 2))) (sin (/ y (* x 2))))
Symmetry

(abs x)

(abs y)

explain177.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1190-38(2.8010338834883705e+146 6.584121258786416e-299)(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
1190-38(2.8010338834883705e+146 6.584121258786416e-299)(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
280-0-(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #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))
00-0-y
00-0-#s(literal 2 binary64)
Results
112.0ms230×1valid
24.0ms282×0valid
Compiler

Compiled 93 to 26 computations (72% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-sin: 35.0ms (41.6% of total)
ival-tan: 28.0ms (33.3% of total)
ival-div: 10.0ms (11.9% of total)
ival-mult: 6.0ms (7.1% of total)
backward-pass: 4.0ms (4.8% of total)
const: 1.0ms (1.2% of total)

eval2.0ms (0%)

Compiler

Compiled 15 to 8 computations (46.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
47.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify4.0ms (0%)

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)))))
Rules
12×/-lowering-/.f32
12×/-lowering-/.f64
*-lowering-*.f32
*-lowering-*.f64
associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
11136
21336
01336
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
(tan (/ x (* y 2)))
(/ x (* y 2))
x
(* y 2)
y
2
(sin (/ x (* y 2)))
Outputs
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan (/ x (* y 2)))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ x (* y 2))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(* y 2)
(*.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)
(sin (/ x (* y 2)))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))

localize58.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y #s(literal 2 binary64))
accuracy89.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy58.4%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy57.9%
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Results
31.0ms115×1valid
12.0ms141×0valid
Compiler

Compiled 39 to 9 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-sin: 8.0ms (29.8% of total)
ival-tan: 6.0ms (22.3% of total)
ival-div: 5.0ms (18.6% of total)
backward-pass: 4.0ms (14.9% of total)
ival-mult: 3.0ms (11.2% of total)
const: 0.0ms (0% of total)

series19.0ms (0.2%)

Counts
5 → 108
Calls
Call 1
Inputs
#<alt (/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))>
#<alt (tan (/ x (* y 2)))>
#<alt (/ x (* y 2))>
#<alt (* y 2)>
#<alt (sin (/ x (* y 2)))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 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))))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt 1>
#<alt (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 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))))))>
#<alt (- (+ 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)))))))))>
#<alt 1>
#<alt (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 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))))))>
#<alt (- (+ 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)))))))))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* 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))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)>
#<alt (/ (- (+ (* -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)>
#<alt (/ (- (+ (* -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)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* 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))))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)>
#<alt (/ (+ (* -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)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -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

27 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
2.0ms
y
@-inf
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
2.0ms
x
@inf
(/ x (* y 2))
1.0ms
x
@0
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
1.0ms
x
@inf
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))

rewrite233.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
2736×*-lowering-*.f32
2736×*-lowering-*.f64
2256×/-lowering-/.f32
2256×/-lowering-/.f64
1334×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0833
12833
214127
380027
0869627
Stop Event
iter limit
node limit
Counts
5 → 344
Calls
Call 1
Inputs
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
(tan (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
(sin (/ x (* y 2)))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
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(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 y #s(literal 1/2 binary64)))
(pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 #s(literal -2 binary64) (/.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2 binary64))
(*.f64 (/.f64 y #s(literal -1 binary64)) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -2 binary64))
(+.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
(sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 1 binary64))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) #s(literal -1 binary64)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))
(pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1 binary64))
(*.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 1 binary64))
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))

simplify312.0ms (2.6%)

Algorithm
egg-herbie
Rules
3912×*-lowering-*.f32
3912×*-lowering-*.f64
2846×+-lowering-+.f64
2846×+-lowering-+.f32
1366×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03161937
110451915
240911901
085621901
Stop Event
iter limit
node limit
Counts
108 → 108
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 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
1
(- (+ 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 (* -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)))))))))
(* 1/2 (/ 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))))
(/ (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))) (cos (* 1/2 (/ x y))))
(/ (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))) (cos (* 1/2 (/ x y))))
(/ (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))) (cos (* 1/2 (/ x y))))
(/ (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))) (cos (* 1/2 (/ x y))))
(* 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)
(* 1/2 (/ x 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))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 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))))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (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 (/ x 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))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 5/384 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))))
(+ 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))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 61/46080 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))))))))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
1
#s(literal 1 binary64)
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(* -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 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))))) (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) 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 (+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 y y)))) (+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/92160 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)) (*.f64 y y)) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/24 binary64)) #s(literal 1/384 binary64))) (pow.f64 y #s(literal 6 binary64)))))) (*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/768 binary64))) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/24 binary64)))) (pow.f64 y #s(literal 4 binary64))))))) (-.f64 #s(literal 0 binary64) y))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 y (*.f64 y y)))))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3840 binary64)) (pow.f64 y #s(literal 5 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))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/645120 binary64)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64))))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))))))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) 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 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)) (+.f64 (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))))) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 y y))) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) 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 (+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 y y)))) (-.f64 #s(literal 0 binary64) y))

eval76.0ms (0.6%)

Compiler

Compiled 13691 to 1754 computations (87.2% saved)

prune170.0ms (1.4%)

Pruning

57 alts after pruning (56 fresh and 1 done)

PrunedKeptTotal
New58256638
Fresh000
Picked011
Done000
Total58257639
Accuracy
63.8%
Counts
639 → 57
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.7%
(pow.f64 (pow.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
57.8%
(pow.f64 (*.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64))
45.7%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
46.8%
(/.f64 (/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.0%
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.0%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.1%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
5.8%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.1%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.6%
(/.f64 (/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
5.8%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
6.3%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
43.0%
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
30.9%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
6.9%
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.8%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.3%
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.1%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
24.1%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
16.1%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y #s(literal -2 binary64)) (+.f64 (*.f64 x x) #s(literal 0 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
24.0%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
23.4%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.1%
(/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.1%
(/.f64 (tan.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
6.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
32.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))
43.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
5.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
32.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 y (*.f64 y y))))))
45.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
47.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
33.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))))
23.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))))
16.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))))
27.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 y #s(literal -2 binary64))))))
47.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))))))
24.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 y #s(literal 1/2 binary64)))))
47.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
42.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
43.3%
(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.6%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.9%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.1%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.5%
(/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.4%
(/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))
58.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
58.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
50.7%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))))
43.5%
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (/.f64 (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
30.4%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
5.6%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
45.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
46.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
58.8%
#s(literal 1 binary64)
Compiler

Compiled 2607 to 1732 computations (33.6% saved)

simplify222.0ms (1.9%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff6528
(+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64)))
cost-diff6528
(/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))
cost-diff6784
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))
cost-diff6784
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
cost-diff0
(tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
cost-diff128
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
cost-diff128
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))))
cost-diff128
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
cost-diff0
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
cost-diff384
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))
cost-diff384
(sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x)))
cost-diff384
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))))
cost-diff0
(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
cost-diff0
(*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))
cost-diff0
(*.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))))
Rules
2974×fma-lowering-fma.f32
2974×fma-lowering-fma.f64
2702×*-lowering-*.f32
2702×*-lowering-*.f64
1854×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042319
195308
2220281
3606279
41606275
54907275
08368275
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
1
(+ 1 (* x (* x (/ 1/8 (* y y)))))
1
(* x (* x (/ 1/8 (* y y))))
x
(* x (/ 1/8 (* y y)))
(/ 1/8 (* y y))
1/8
(* y y)
y
(/ (tan (/ x (* y 2))) (sin (/ (- 0 (* x x)) (* (* y -2) x))))
(tan (/ x (* y 2)))
(/ x (* y 2))
x
(* y 2)
y
2
(sin (/ (- 0 (* x x)) (* (* y -2) x)))
(/ (- 0 (* x x)) (* (* y -2) x))
(- 0 (* x x))
0
(* x x)
(* (* y -2) x)
(* y -2)
-2
(* (/ (tan (/ x (* y -2))) (- 0 (- 1/2 (* 1/2 (cos (/ x y)))))) (sin (/ 1/2 (/ y x))))
(/ (tan (/ x (* y -2))) (- 0 (- 1/2 (* 1/2 (cos (/ x y))))))
(tan (/ x (* y -2)))
(/ x (* y -2))
x
(* y -2)
y
-2
(- 0 (- 1/2 (* 1/2 (cos (/ x y)))))
0
(- 1/2 (* 1/2 (cos (/ x y))))
1/2
(* 1/2 (cos (/ x y)))
(cos (/ x y))
(/ x y)
(sin (/ 1/2 (/ y x)))
(/ 1/2 (/ y x))
(/ y x)
(/ (/ (- 1/2 (* 1/2 (cos (/ x y)))) (/ (+ (sin (/ x y)) (sin 0)) 2)) (sin (/ x (* y 2))))
(/ (- 1/2 (* 1/2 (cos (/ x y)))) (/ (+ (sin (/ x y)) (sin 0)) 2))
(- 1/2 (* 1/2 (cos (/ x y))))
1/2
(* 1/2 (cos (/ x y)))
(cos (/ x y))
(/ x y)
x
y
(/ (+ (sin (/ x y)) (sin 0)) 2)
(+ (sin (/ x y)) (sin 0))
(sin (/ x y))
(sin 0)
0
2
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* x (* x (/ 1/8 (* y y)))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) y) y))
1
#s(literal 1 binary64)
(* x (* x (/ 1/8 (* y y))))
(/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) y) y)
x
(* x (/ 1/8 (* y y)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) y)
(/ 1/8 (* y y))
(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
1/8
#s(literal 1/8 binary64)
(* y y)
(*.f64 y y)
y
(/ (tan (/ x (* y 2))) (sin (/ (- 0 (* x x)) (* (* y -2) x))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(tan (/ x (* y 2)))
(tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ x (* y 2))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
x
(* y 2)
(*.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)
(sin (/ (- 0 (* x x)) (* (* y -2) x)))
(sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ (- 0 (* x x)) (* (* y -2) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(- 0 (* x x))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
0
#s(literal 0 binary64)
(* x x)
(*.f64 x x)
(* (* y -2) x)
(*.f64 x (*.f64 y #s(literal -2 binary64)))
(* y -2)
(*.f64 y #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(* (/ (tan (/ x (* y -2))) (- 0 (- 1/2 (* 1/2 (cos (/ x y)))))) (sin (/ 1/2 (/ y x))))
(/.f64 (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal -1/2 binary64)))
(/ (tan (/ x (* y -2))) (- 0 (- 1/2 (* 1/2 (cos (/ x y))))))
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal -1/2 binary64)))
(tan (/ x (* y -2)))
(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(/ x (* y -2))
(/.f64 (/.f64 x y) #s(literal -2 binary64))
x
(* y -2)
(*.f64 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)
(- 0 (- 1/2 (* 1/2 (cos (/ x y)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal -1/2 binary64))
0
#s(literal 0 binary64)
(- 1/2 (* 1/2 (cos (/ x y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (/ x y)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(/ x y)
(/.f64 x y)
(sin (/ 1/2 (/ y x)))
(sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ 1/2 (/ y x))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ (/ (- 1/2 (* 1/2 (cos (/ x y)))) (/ (+ (sin (/ x y)) (sin 0)) 2)) (sin (/ x (* y 2))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sin.f64 (/.f64 x y)))
(/ (- 1/2 (* 1/2 (cos (/ x y)))) (/ (+ (sin (/ x y)) (sin 0)) 2))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(- 1/2 (* 1/2 (cos (/ x y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* 1/2 (cos (/ x y)))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(/ x y)
(/.f64 x y)
x
y
(/ (+ (sin (/ x y)) (sin 0)) 2)
(/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))
(+ (sin (/ x y)) (sin 0))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin 0)
#s(literal 0 binary64)
0
#s(literal 0 binary64)
2
#s(literal 2 binary64)
(sin (/ x (* y 2)))
(sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ x (* y 2))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(* y 2)
(*.f64 y #s(literal 2 binary64))

localize477.0ms (4%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy74.2%
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))
accuracy58.6%
(cos.f64 (/.f64 x y))
accuracy58.4%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy58.2%
(sin.f64 (/.f64 x y))
accuracy75.5%
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))
accuracy58.6%
(cos.f64 (/.f64 x y))
accuracy58.4%
(sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
accuracy57.9%
(tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
accuracy89.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))))
accuracy68.8%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))
accuracy58.4%
(sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x)))
accuracy57.9%
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy100.0%
(*.f64 y y)
accuracy99.2%
(/.f64 #s(literal 1/8 binary64) (*.f64 y y))
accuracy97.0%
(*.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))))
accuracy88.1%
(*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))
Results
341.0ms215×1valid
49.0ms34×2valid
7.0ms0valid
Compiler

Compiled 330 to 43 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 259.0ms
ival-div: 57.0ms (22% of total)
backward-pass: 44.0ms (17% of total)
ival-sin: 38.0ms (14.7% of total)
ival-mult: 36.0ms (13.9% of total)
ival-tan: 34.0ms (13.1% of total)
ival-cos: 29.0ms (11.2% of total)
ival-sub: 11.0ms (4.2% of total)
ival-add: 8.0ms (3.1% of total)
const: 2.0ms (0.8% of total)

series79.0ms (0.7%)

Counts
22 → 504
Calls
Call 1
Inputs
#<alt (+ 1 (* x (* x (/ 1/8 (* y y)))))>
#<alt (* x (* x (/ 1/8 (* y y))))>
#<alt (* x (/ 1/8 (* y y)))>
#<alt (/ 1/8 (* y y))>
#<alt (/ (tan (/ x (* y 2))) (sin (/ (- 0 (* x x)) (* (* y -2) x))))>
#<alt (sin (/ (- 0 (* x x)) (* (* y -2) x)))>
#<alt (/ (- 0 (* x x)) (* (* y -2) x))>
#<alt (tan (/ x (* y 2)))>
#<alt (* (/ (tan (/ x (* y -2))) (- 0 (- 1/2 (* 1/2 (cos (/ x y)))))) (sin (/ 1/2 (/ y x))))>
#<alt (/ (tan (/ x (* y -2))) (- 0 (- 1/2 (* 1/2 (cos (/ x y))))))>
#<alt (- 0 (- 1/2 (* 1/2 (cos (/ x y)))))>
#<alt (tan (/ x (* y -2)))>
#<alt (/ (/ (- 1/2 (* 1/2 (cos (/ x y)))) (/ (+ (sin (/ x y)) (sin 0)) 2)) (sin (/ x (* y 2))))>
#<alt (/ (- 1/2 (* 1/2 (cos (/ x y)))) (/ (+ (sin (/ x y)) (sin 0)) 2))>
#<alt (/ (+ (sin (/ x y)) (sin 0)) 2)>
#<alt (+ (sin (/ x y)) (sin 0))>
#<alt (* y y)>
#<alt (sin (/ 1/2 (/ y x)))>
#<alt (cos (/ x y))>
#<alt (- 1/2 (* 1/2 (cos (/ x y))))>
#<alt (sin (/ x y))>
#<alt (sin (/ x (* y 2)))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
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#<alt 1>
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#<alt (* 2 (/ (- 1/2 (* 1/2 (cos (/ x y)))) (sin (/ x y))))>
#<alt (* 2 (/ (- 1/2 (* 1/2 (cos (/ x y)))) (sin (/ x y))))>
#<alt (* 2 (/ (- 1/2 (* 1/2 (cos (/ x y)))) (sin (/ x y))))>
#<alt (* 2 (/ (- 1/2 (* 1/2 (cos (/ x y)))) (sin (/ x y))))>
#<alt (* 2 (/ (- 1/2 (* 1/2 (cos (/ x y)))) (sin (/ x y))))>
#<alt (* 2 (/ (- 1/2 (* 1/2 (cos (/ x y)))) (sin (/ x y))))>
#<alt (* 2 (/ (- 1/2 (* 1/2 (cos (/ x y)))) (sin (/ x y))))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* 1/2 x) (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/24 (pow x 3))) (pow y 2)))) y)>
#<alt (/ (+ (* 1/2 x) (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/24 (pow x 3))) (pow y 2))) (* 2 (/ (- (* 1/1440 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/24 (pow x 3))))) (* 1/480 (pow x 5)))) (pow y 4))))) y)>
#<alt (/ (+ (* 1/2 x) (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/24 (pow x 3))) (pow y 2))) (+ (* 2 (/ (- (* -1/80640 (pow x 7)) (+ (* -1/6 (* (pow x 2) (- (* 1/1440 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/24 (pow x 3))))) (* 1/480 (pow x 5)))))) (+ (* -1/20160 (pow x 7)) (* 1/120 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/24 (pow x 3)))))))) (pow y 6))) (* 2 (/ (- (* 1/1440 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/24 (pow x 3))))) (* 1/480 (pow x 5)))) (pow y 4)))))) y)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/24 (pow x 3))) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* 2 (/ (- (* -1/1440 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/24 (pow x 3))))) (* -1/480 (pow x 5)))) (pow y 4))) (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/24 (pow x 3))) (pow y 2))))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* 2 (/ (- (* -1/1440 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/24 (pow x 3))))) (* -1/480 (pow x 5)))) (pow y 4))) (+ (* 2 (/ (- (* 1/80640 (pow x 7)) (+ (* -1/6 (* (pow x 2) (- (* -1/1440 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/24 (pow x 3))))) (* -1/480 (pow x 5)))))) (+ (* 1/20160 (pow x 7)) (* 1/120 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/24 (pow x 3)))))))) (pow y 6))) (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/24 (pow x 3))) (pow y 2)))))) y))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* -1/12 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/12 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/10080 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/12 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* 1/2 (sin (/ x y)))>
#<alt (* 1/2 (sin (/ x y)))>
#<alt (* 1/2 (sin (/ x y)))>
#<alt (* 1/2 (sin (/ x y)))>
#<alt (* 1/2 (sin (/ x y)))>
#<alt (* 1/2 (sin (/ x y)))>
#<alt (* 1/2 (sin (/ x y)))>
#<alt (* 1/2 (sin (/ x y)))>
#<alt (* 1/2 (sin (/ x y)))>
#<alt (* 1/2 (sin (/ x y)))>
#<alt (* 1/2 (sin (/ x y)))>
#<alt (* 1/2 (sin (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* -1/12 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)>
#<alt (/ (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)>
#<alt (/ (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* -1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/12 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2)))))) y))>
#<alt (/ x y)>
#<alt (* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))>
#<alt (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))>
#<alt (* 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)))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)>
#<alt (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)>
#<alt (/ (+ 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)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -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))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)>
#<alt (/ (+ (* -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)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -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))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* 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))))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))>
#<alt (+ 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))))))>
#<alt (cos (/ x y))>
#<alt (cos (/ x y))>
#<alt (cos (/ x y))>
#<alt (cos (/ x y))>
#<alt (cos (/ x y))>
#<alt (cos (/ x y))>
#<alt (cos (/ x y))>
#<alt (cos (/ x y))>
#<alt (cos (/ x y))>
#<alt (cos (/ x y))>
#<alt (cos (/ x y))>
#<alt (cos (/ x y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))>
#<alt (* 1/4 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -1/48 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (* (pow x 2) (- (* 1/1440 (/ (pow x 2) (pow y 6))) (* 1/48 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/80640 (/ (pow x 2) (pow y 8))) (* 1/1440 (/ 1 (pow y 6))))) (* 1/48 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))>
#<alt (- 1/2 (* 1/2 (cos (/ x y))))>
#<alt (- 1/2 (* 1/2 (cos (/ x y))))>
#<alt (- 1/2 (* 1/2 (cos (/ x y))))>
#<alt (- 1/2 (* 1/2 (cos (/ x y))))>
#<alt (- 1/2 (* 1/2 (cos (/ x y))))>
#<alt (- 1/2 (* 1/2 (cos (/ x y))))>
#<alt (- 1/2 (* 1/2 (cos (/ x y))))>
#<alt (- 1/2 (* 1/2 (cos (/ x y))))>
#<alt (- 1/2 (* 1/2 (cos (/ x y))))>
#<alt (- 1/2 (* 1/2 (cos (/ x y))))>
#<alt (- 1/2 (* 1/2 (cos (/ x y))))>
#<alt (- 1/2 (* 1/2 (cos (/ x y))))>
#<alt (* 1/4 (/ (pow x 2) (pow y 2)))>
#<alt (/ (- (* -1/48 (/ (pow x 4) (pow y 2))) (* -1/4 (pow x 2))) (pow y 2))>
#<alt (/ (- (* 1/1440 (/ (pow x 6) (pow y 4))) (+ (* -1/4 (pow x 2)) (* 1/48 (/ (pow x 4) (pow y 2))))) (pow y 2))>
#<alt (/ (- (* -1/80640 (/ (pow x 8) (pow y 6))) (+ (* -1/4 (pow x 2)) (+ (* -1/1440 (/ (pow x 6) (pow y 4))) (* 1/48 (/ (pow x 4) (pow y 2)))))) (pow y 2))>
#<alt (* 1/4 (/ (pow x 2) (pow y 2)))>
#<alt (/ (- (* -1/48 (/ (pow x 4) (pow y 2))) (* -1/4 (pow x 2))) (pow y 2))>
#<alt (/ (- (* 1/1440 (/ (pow x 6) (pow y 4))) (+ (* -1/4 (pow x 2)) (* 1/48 (/ (pow x 4) (pow y 2))))) (pow y 2))>
#<alt (/ (- (* -1/80640 (/ (pow x 8) (pow y 6))) (+ (* -1/4 (pow x 2)) (+ (* -1/1440 (/ (pow x 6) (pow y 4))) (* 1/48 (/ (pow x 4) (pow y 2)))))) (pow y 2))>
#<alt (/ x y)>
#<alt (* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))>
#<alt (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))>
#<alt (* 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)))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)>
#<alt (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)>
#<alt (/ (+ 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)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -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))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* 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))))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)>
#<alt (/ (+ (* -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)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -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

126 calls:

TimeVariablePointExpression
13.0ms
y
@inf
(/ (/ (- 1/2 (* 1/2 (cos (/ x y)))) (/ (+ (sin (/ x y)) (sin 0)) 2)) (sin (/ x (* y 2))))
10.0ms
x
@0
(* (/ (tan (/ x (* y -2))) (- 0 (- 1/2 (* 1/2 (cos (/ x y)))))) (sin (/ 1/2 (/ y x))))
4.0ms
y
@inf
(/ (tan (/ x (* y -2))) (- 0 (- 1/2 (* 1/2 (cos (/ x y))))))
4.0ms
y
@inf
(* (/ (tan (/ x (* y -2))) (- 0 (- 1/2 (* 1/2 (cos (/ x y)))))) (sin (/ 1/2 (/ y x))))
3.0ms
y
@-inf
(* (/ (tan (/ x (* y -2))) (- 0 (- 1/2 (* 1/2 (cos (/ x y)))))) (sin (/ 1/2 (/ y x))))

rewrite741.0ms (6.2%)

Algorithm
batch-egg-rewrite
Rules
4586×/-lowering-/.f32
4586×/-lowering-/.f64
3172×*-lowering-*.f32
3172×*-lowering-*.f64
1620×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042216
1244202
21984196
08341196
Stop Event
iter limit
node limit
Counts
22 → 723
Calls
Call 1
Inputs
(+ 1 (* x (* x (/ 1/8 (* y y)))))
(* x (* x (/ 1/8 (* y y))))
(* x (/ 1/8 (* y y)))
(/ 1/8 (* y y))
(/ (tan (/ x (* y 2))) (sin (/ (- 0 (* x x)) (* (* y -2) x))))
(sin (/ (- 0 (* x x)) (* (* y -2) x)))
(/ (- 0 (* x x)) (* (* y -2) x))
(tan (/ x (* y 2)))
(* (/ (tan (/ x (* y -2))) (- 0 (- 1/2 (* 1/2 (cos (/ x y)))))) (sin (/ 1/2 (/ y x))))
(/ (tan (/ x (* y -2))) (- 0 (- 1/2 (* 1/2 (cos (/ x y))))))
(- 0 (- 1/2 (* 1/2 (cos (/ x y)))))
(tan (/ x (* y -2)))
(/ (/ (- 1/2 (* 1/2 (cos (/ x y)))) (/ (+ (sin (/ x y)) (sin 0)) 2)) (sin (/ x (* y 2))))
(/ (- 1/2 (* 1/2 (cos (/ x y)))) (/ (+ (sin (/ x y)) (sin 0)) 2))
(/ (+ (sin (/ x y)) (sin 0)) 2)
(+ (sin (/ x y)) (sin 0))
(* y y)
(sin (/ 1/2 (/ y x)))
(cos (/ x y))
(- 1/2 (* 1/2 (cos (/ x y))))
(sin (/ x y))
(sin (/ x (* y 2)))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) #s(literal 1/8 binary64))))
(+.f64 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) #s(literal 1/8 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) #s(literal 1/8 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) #s(literal 1/8 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))) (-.f64 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) #s(literal 1/8 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) #s(literal 1/8 binary64))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) #s(literal 1/8 binary64))) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (/.f64 (*.f64 y y) #s(literal 1/8 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (/.f64 x (/.f64 (*.f64 y y) #s(literal 1/8 binary64))) x #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) #s(literal 1/8 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 x (/.f64 (*.f64 y y) #s(literal 1/8 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (*.f64 y y) #s(literal 1/8 binary64)))) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) #s(literal 1/8 binary64))) (-.f64 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) #s(literal 1/8 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) #s(literal 1/8 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))))))))
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(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 (/.f64 x y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (*.f64 (/.f64 (sin.f64 (/.f64 x y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal 0 binary64))) (*.f64 (/.f64 (sin.f64 (/.f64 x y)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (sin.f64 (/.f64 x y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) (sin.f64 (/.f64 x y))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) #s(literal 0 binary64))) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)))
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(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
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(*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))))
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(-.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 0 binary64)))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(neg.f64 (sin.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))))

simplify385.0ms (3.2%)

Algorithm
egg-herbie
Rules
5720×+-lowering-+.f64
5720×+-lowering-+.f32
4430×*-lowering-*.f32
4430×*-lowering-*.f64
1492×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09309594
131889390
081699390
Stop Event
iter limit
node limit
Counts
504 → 504
Calls
Call 1
Inputs
1
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1
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1
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1
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(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
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1
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1
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1
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1
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1
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1
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Outputs
1
#s(literal 1 binary64)
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(/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)
(/.f64 (+.f64 x (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) y)
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)
(/.f64 (+.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (/.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) 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)
(/.f64 (+.f64 x (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))))) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) 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 (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) x) (/.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 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) x)) (neg.f64 y))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y 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))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal -1/645120 binary64) (*.f64 x x)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64))))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))))))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) 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 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64)))) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) y) (/.f64 #s(literal 1/48 binary64) y))) (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 (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) y) (/.f64 #s(literal 1/48 binary64) y)) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal -1/2 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)))))) y))
(/.f64 (+.f64 (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) y) (/.f64 #s(literal 1/48 binary64) y)) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 y))

eval171.0ms (1.4%)

Compiler

Compiled 42029 to 3892 computations (90.7% saved)

prune346.0ms (2.9%)

Pruning

86 alts after pruning (85 fresh and 1 done)

PrunedKeptTotal
New1291411332
Fresh74451
Picked415
Done101
Total1303861389
Accuracy
63.9%
Counts
1389 → 86
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.7%
(pow.f64 (pow.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
57.8%
(pow.f64 (*.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64))
7.1%
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 2 binary64))) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.7%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
7.1%
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.9%
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y))) (/.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.2%
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) (sin.f64 (/.f64 x y))) (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal 0 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.0%
(/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))))) (*.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.0%
(/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) (*.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.0%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.1%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
5.8%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.1%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
23.5%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))))
45.6%
(/.f64 (/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
7.0%
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.9%
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) #s(literal 1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.4%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) #s(literal 1 binary64)))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
6.2%
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))))) (*.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))))))
5.8%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
6.3%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
6.5%
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
43.0%
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.9%
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.5%
(/.f64 (*.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))))
5.9%
(/.f64 (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal -1/2 binary64))))
45.8%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.3%
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.1%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
24.1%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
16.1%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y #s(literal -2 binary64)) (+.f64 (*.f64 x x) #s(literal 0 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
24.0%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
23.4%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.1%
(/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.1%
(/.f64 (tan.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
32.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))
43.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
5.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
32.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))))
45.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
23.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y #s(literal 2 binary64))) x)))
47.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
33.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))))
12.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 x (*.f64 y #s(literal -2 binary64)))))))
12.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))))
24.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 y #s(literal 2 binary64))))))
27.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 y #s(literal -2 binary64))))))
43.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))))))
23.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x x)))))
24.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
24.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 y #s(literal 1/2 binary64)))))
47.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
26.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64)))))
42.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
43.3%
(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.6%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.9%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.1%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.5%
(/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.0%
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
45.4%
(/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))
24.0%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
58.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
58.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
7.0%
(-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 (*.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
54.6%
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) y)))
51.4%
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 x #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
43.5%
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (/.f64 (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
30.4%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
37.6%
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) y) (*.f64 #s(literal 2 binary64) y)) x) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
6.9%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x y))) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
42.0%
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
6.5%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
6.6%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
5.6%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
1.1%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (*.f64 x (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))))
0.9%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
5.6%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
45.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
6.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
46.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
19.3%
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (*.f64 y y))) (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/6 binary64)))) (neg.f64 y)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
21.0%
(*.f64 (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x)) (*.f64 y y))) (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/6 binary64))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
58.8%
#s(literal 1 binary64)
Compiler

Compiled 4729 to 2881 computations (39.1% saved)

simplify180.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
cost-diff128
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
cost-diff256
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
cost-diff0
(*.f64 y #s(literal 2 binary64))
cost-diff0
(/.f64 x (*.f64 y #s(literal 2 binary64)))
cost-diff0
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
cost-diff0
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
cost-diff0
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
cost-diff384
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
cost-diff384
(sin.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
cost-diff384
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
cost-diff0
(/.f64 (*.f64 x #s(literal 1/8 binary64)) y)
cost-diff0
(/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) y)
cost-diff0
(*.f64 x (/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) y))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) y)))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
cost-diff0
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
Rules
2400×*-lowering-*.f32
2400×*-lowering-*.f64
1246×/-lowering-/.f32
1246×/-lowering-/.f64
1150×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
047330
192324
2187320
3414308
4927308
52376308
64737308
08215308
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (cos (/ (* x 1/2) y)))
1
(cos (/ (* x 1/2) y))
(/ (* x 1/2) y)
(* x 1/2)
x
1/2
y
(+ 1 (* x (/ (/ (* x 1/8) y) y)))
1
(* x (/ (/ (* x 1/8) y) y))
x
(/ (/ (* x 1/8) y) y)
(/ (* x 1/8) y)
(* x 1/8)
1/8
y
(/ (tan (/ x (* y 2))) (sin (* (/ (/ -1/2 y) x) (- 0 (* x x)))))
(tan (/ x (* y 2)))
(/ x (* y 2))
x
(* y 2)
y
2
(sin (* (/ (/ -1/2 y) x) (- 0 (* x x))))
(* (/ (/ -1/2 y) x) (- 0 (* x x)))
(/ (/ -1/2 y) x)
(/ -1/2 y)
-1/2
(- 0 (* x x))
0
(* x x)
(/ (sin (/ x (* y 2))) (/ (+ 1/2 (* (cos (/ x y)) -1/2)) (tan (/ x (* y 2)))))
(sin (/ x (* y 2)))
(/ x (* y 2))
x
(* y 2)
y
2
(/ (+ 1/2 (* (cos (/ x y)) -1/2)) (tan (/ x (* y 2))))
(+ 1/2 (* (cos (/ x y)) -1/2))
1/2
(* (cos (/ x y)) -1/2)
(cos (/ x y))
(/ x y)
-1/2
(tan (/ x (* y 2)))
(* (/ (/ 1 (sin (/ 1/2 (/ y x)))) (sin (/ 1/2 (/ y x)))) (/ (sin (/ x (* y -2))) (/ 1 (tan (/ x (* y -2))))))
(/ (/ 1 (sin (/ 1/2 (/ y x)))) (sin (/ 1/2 (/ y x))))
(/ 1 (sin (/ 1/2 (/ y x))))
1
(sin (/ 1/2 (/ y x)))
(/ 1/2 (/ y x))
1/2
(/ y x)
y
x
(/ (sin (/ x (* y -2))) (/ 1 (tan (/ x (* y -2)))))
(sin (/ x (* y -2)))
(/ x (* y -2))
(* y -2)
-2
(/ 1 (tan (/ x (* y -2))))
(tan (/ x (* y -2)))
Outputs
(/ 1 (cos (/ (* x 1/2) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(cos (/ (* x 1/2) y))
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(/ (* x 1/2) y)
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(+ 1 (* x (/ (/ (* x 1/8) y) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (/.f64 (*.f64 x #s(literal 1/8 binary64)) y)) y))
1
#s(literal 1 binary64)
(* x (/ (/ (* x 1/8) y) y))
(/.f64 (*.f64 x (/.f64 (*.f64 x #s(literal 1/8 binary64)) y)) y)
x
(/ (/ (* x 1/8) y) y)
(/.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 y y))
(/ (* x 1/8) y)
(/.f64 (*.f64 x #s(literal 1/8 binary64)) y)
(* x 1/8)
(*.f64 x #s(literal 1/8 binary64))
1/8
#s(literal 1/8 binary64)
y
(/ (tan (/ x (* y 2))) (sin (* (/ (/ -1/2 y) x) (- 0 (* x x)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(tan (/ x (* y 2)))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ x (* y 2))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(* y 2)
(*.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)
(sin (* (/ (/ -1/2 y) x) (- 0 (* x x))))
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(* (/ (/ -1/2 y) x) (- 0 (* x x)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/ (/ -1/2 y) x)
(/.f64 (/.f64 #s(literal -1/2 binary64) y) x)
(/ -1/2 y)
(/.f64 #s(literal -1/2 binary64) y)
-1/2
#s(literal -1/2 binary64)
(- 0 (* x x))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
0
#s(literal 0 binary64)
(* x x)
(*.f64 x x)
(/ (sin (/ x (* y 2))) (/ (+ 1/2 (* (cos (/ x y)) -1/2)) (tan (/ x (* y 2)))))
(/.f64 (*.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (+.f64 (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(sin (/ x (* y 2)))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ x (* y 2))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
x
(* y 2)
(*.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)
(/ (+ 1/2 (* (cos (/ x y)) -1/2)) (tan (/ x (* y 2))))
(/.f64 (+.f64 (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(+ 1/2 (* (cos (/ x y)) -1/2))
(+.f64 (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* (cos (/ x y)) -1/2)
(*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(/ x y)
(/.f64 x y)
-1/2
#s(literal -1/2 binary64)
(tan (/ x (* y 2)))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(* (/ (/ 1 (sin (/ 1/2 (/ y x)))) (sin (/ 1/2 (/ y x)))) (/ (sin (/ x (* y -2))) (/ 1 (tan (/ x (* y -2))))))
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (/.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/ (/ 1 (sin (/ 1/2 (/ y x)))) (sin (/ 1/2 (/ y x))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(/ 1 (sin (/ 1/2 (/ y x))))
(/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(sin (/ 1/2 (/ y x)))
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(/ 1/2 (/ y x))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ y x)
(/.f64 y x)
y
x
(/ (sin (/ x (* y -2))) (/ 1 (tan (/ x (* y -2)))))
(*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(sin (/ x (* y -2)))
(sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(/ x (* y -2))
(/.f64 (/.f64 x y) #s(literal -2 binary64))
(* y -2)
(*.f64 y #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ 1 (tan (/ x (* y -2))))
(/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(tan (/ x (* y -2)))
(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))

localize655.0ms (5.5%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy73.2%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
accuracy58.4%
(sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
accuracy58.3%
(sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
accuracy57.9%
(tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
accuracy74.2%
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy58.6%
(cos.f64 (/.f64 x y))
accuracy58.4%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy57.9%
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy89.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
accuracy68.9%
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
accuracy58.4%
(sin.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
accuracy57.9%
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) y)))
accuracy100.0%
(*.f64 x #s(literal 1/8 binary64))
accuracy99.7%
(/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) y)
accuracy97.0%
(*.f64 x (/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) y))
accuracy100.0%
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
accuracy99.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
accuracy58.4%
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
Results
263.0ms180×1valid
89.0ms42×2valid
58.0ms0valid
55.0ms28×3valid
Compiler

Compiled 344 to 48 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 321.0ms
ival-div: 91.0ms (28.4% of total)
ival-tan: 68.0ms (21.2% of total)
ival-sin: 55.0ms (17.2% of total)
ival-mult: 35.0ms (10.9% of total)
ival-cos: 29.0ms (9% of total)
backward-pass: 29.0ms (9% of total)
ival-add: 8.0ms (2.5% of total)
ival-sub: 3.0ms (0.9% of total)
const: 2.0ms (0.6% of total)

series87.0ms (0.7%)

Counts
26 → 588
Calls
Call 1
Inputs
#<alt (/ 1 (cos (/ (* x 1/2) y)))>
#<alt (cos (/ (* x 1/2) y))>
#<alt (/ (* x 1/2) y)>
#<alt (* x 1/2)>
#<alt (+ 1 (* x (/ (/ (* x 1/8) y) y)))>
#<alt (* x (/ (/ (* x 1/8) y) y))>
#<alt (/ (/ (* x 1/8) y) y)>
#<alt (/ (* x 1/8) y)>
#<alt (/ (tan (/ x (* y 2))) (sin (* (/ (/ -1/2 y) x) (- 0 (* x x)))))>
#<alt (sin (* (/ (/ -1/2 y) x) (- 0 (* x x))))>
#<alt (* (/ (/ -1/2 y) x) (- 0 (* x x)))>
#<alt (tan (/ x (* y 2)))>
#<alt (/ (sin (/ x (* y 2))) (/ (+ 1/2 (* (cos (/ x y)) -1/2)) (tan (/ x (* y 2)))))>
#<alt (sin (/ x (* y 2)))>
#<alt (/ x (* y 2))>
#<alt (* y 2)>
#<alt (* (/ (/ 1 (sin (/ 1/2 (/ y x)))) (sin (/ 1/2 (/ y x)))) (/ (sin (/ x (* y -2))) (/ 1 (tan (/ x (* y -2))))))>
#<alt (/ (sin (/ x (* y -2))) (/ 1 (tan (/ x (* y -2)))))>
#<alt (/ (/ 1 (sin (/ 1/2 (/ y x)))) (sin (/ 1/2 (/ y x))))>
#<alt (/ 1 (sin (/ 1/2 (/ y x))))>
#<alt (* x 1/8)>
#<alt (cos (/ x y))>
#<alt (/ (+ 1/2 (* (cos (/ x y)) -1/2)) (tan (/ x (* y 2))))>
#<alt (tan (/ x (* y -2)))>
#<alt (sin (/ x (* y -2)))>
#<alt (sin (/ 1/2 (/ y x)))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 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))))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 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))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 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))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 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))))))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))>
#<alt (+ 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))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))>
#<alt (+ 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))))))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x (pow y 2)))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 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))))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt 1>
#<alt (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 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))))))>
#<alt (- (+ 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)))))))))>
#<alt 1>
#<alt (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))>
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#<alt (/ (* (cos (* 1/2 (/ x y))) (+ 1/2 (* -1/2 (cos (/ x y))))) (sin (* 1/2 (/ x y))))>
#<alt (/ (* (cos (* 1/2 (/ x y))) (+ 1/2 (* -1/2 (cos (/ x y))))) (sin (* 1/2 (/ x y))))>
#<alt (/ (* (cos (* 1/2 (/ x y))) (+ 1/2 (* -1/2 (cos (/ x y))))) (sin (* 1/2 (/ x y))))>
#<alt (/ (* (cos (* 1/2 (/ x y))) (+ 1/2 (* -1/2 (cos (/ x y))))) (sin (* 1/2 (/ x y))))>
#<alt (/ (* (cos (* 1/2 (/ x y))) (+ 1/2 (* -1/2 (cos (/ x y))))) (sin (* 1/2 (/ x y))))>
#<alt (/ (* (cos (* 1/2 (/ x y))) (+ 1/2 (* -1/2 (cos (/ x y))))) (sin (* 1/2 (/ x y))))>
#<alt (/ (* (cos (* 1/2 (/ x y))) (+ 1/2 (* -1/2 (cos (/ x y))))) (sin (* 1/2 (/ x y))))>
#<alt (/ (* (cos (* 1/2 (/ x y))) (+ 1/2 (* -1/2 (cos (/ x y))))) (sin (* 1/2 (/ x y))))>
#<alt (/ (* (cos (* 1/2 (/ x y))) (+ 1/2 (* -1/2 (cos (/ x y))))) (sin (* 1/2 (/ x y))))>
#<alt (/ (* (cos (* 1/2 (/ x y))) (+ 1/2 (* -1/2 (cos (/ x y))))) (sin (* 1/2 (/ x y))))>
#<alt (/ (* (cos (* 1/2 (/ x y))) (+ 1/2 (* -1/2 (cos (/ x y))))) (sin (* 1/2 (/ x y))))>
#<alt (/ (* (cos (* 1/2 (/ x y))) (+ 1/2 (* -1/2 (cos (/ x y))))) (sin (* 1/2 (/ x y))))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (- (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/24 (/ (pow x 3) (pow y 2))) (* 1/2 x))) (* -1/48 (/ (pow x 3) (pow y 2)))) y)>
#<alt (/ (- (+ (* -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))) (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/720 (/ (pow x 5) (pow y 4))) (* 1/2 x)))))) (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 2 (/ (* (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (- (+ (* -1/16 (pow x 3)) (* -1/24 (pow x 3))) (* -1/48 (pow x 3)))) (* x (pow y 4))))))) y)>
#<alt (/ (- (+ (* -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))) (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* -1/40320 (/ (pow x 7) (pow y 6))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/720 (/ (pow x 5) (pow y 4))) (+ (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))) (* 1/2 x)))))))))) (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (+ (* 2 (/ (* (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (- (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (+ (* 1/768 (pow x 5)) (* 1/720 (pow x 5)))) (+ (* 1/3840 (pow x 5)) (* 2 (/ (* (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (- (+ (* -1/16 (pow x 3)) (* -1/24 (pow x 3))) (* -1/48 (pow x 3)))) x))))) (* x (pow y 6)))) (+ (* 2 (/ (* (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (- (+ (* -1/16 (pow x 3)) (* -1/24 (pow x 3))) (* -1/48 (pow x 3)))) (* x (pow y 4)))) (* 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)))) (- (+ (* -1/16 (pow x 3)) (* -1/24 (pow x 3))) (* -1/48 (pow x 3)))) (* x (pow y 6)))))))))) y)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (- (+ (* -1/2 x) (+ (* 1/24 (/ (pow x 3) (pow y 2))) (* 1/16 (/ (pow x 3) (pow y 2))))) (* 1/48 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/24 (/ (pow x 3) (pow y 2))) (* 1/16 (/ (pow x 3) (pow y 2)))))))) (+ (* -2 (/ (* (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (- (+ (* 1/24 (pow x 3)) (* 1/16 (pow x 3))) (* 1/48 (pow x 3)))) (* x (pow y 4)))) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))>
#<alt (* -1 (/ (- (+ (* -1/2 x) (+ (* -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))) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/40320 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (+ (* 1/24 (/ (pow x 3) (pow y 2))) (* 1/16 (/ (pow x 3) (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)))) (- (+ (* 1/24 (pow x 3)) (* 1/16 (pow x 3))) (* 1/48 (pow x 3)))) (* x (pow y 6)))) (+ (* -2 (/ (* (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (- (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (+ (* -1/720 (pow x 5)) (* -1/768 (pow x 5)))) (+ (* -2 (/ (* (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (- (+ (* 1/24 (pow x 3)) (* 1/16 (pow x 3))) (* 1/48 (pow x 3)))) x)) (* -1/3840 (pow x 5))))) (* x (pow y 6)))) (+ (* -2 (/ (* (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (- (+ (* 1/24 (pow x 3)) (* 1/16 (pow x 3))) (* 1/48 (pow x 3)))) (* x (pow y 4)))) (+ (* -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))>
#<alt (* -1/2 (/ x y))>
#<alt (* x (- (* -1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (- (* (pow x 2) (- (* -1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* 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))))>
#<alt (/ (sin (* -1/2 (/ x y))) (cos (* -1/2 (/ x y))))>
#<alt (/ (sin (* -1/2 (/ x y))) (cos (* -1/2 (/ x y))))>
#<alt (/ (sin (* -1/2 (/ x y))) (cos (* -1/2 (/ x y))))>
#<alt (/ (sin (* -1/2 (/ x y))) (cos (* -1/2 (/ x y))))>
#<alt (/ (sin (* -1/2 (/ x y))) (cos (* -1/2 (/ x y))))>
#<alt (/ (sin (* -1/2 (/ x y))) (cos (* -1/2 (/ x y))))>
#<alt (/ (sin (* -1/2 (/ x y))) (cos (* -1/2 (/ x y))))>
#<alt (/ (sin (* -1/2 (/ x y))) (cos (* -1/2 (/ x y))))>
#<alt (/ (sin (* -1/2 (/ x y))) (cos (* -1/2 (/ x y))))>
#<alt (/ (sin (* -1/2 (/ x y))) (cos (* -1/2 (/ x y))))>
#<alt (/ (sin (* -1/2 (/ x y))) (cos (* -1/2 (/ x y))))>
#<alt (/ (sin (* -1/2 (/ x y))) (cos (* -1/2 (/ x y))))>
#<alt (* -1/2 (/ x y))>
#<alt (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)>
#<alt (/ (- (+ (* -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)>
#<alt (/ (- (+ (* -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)>
#<alt (* -1/2 (/ x y))>
#<alt (* -1 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* -1/2 (/ x y))>
#<alt (* x (- (* 1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (- (* (pow x 2) (+ (* -1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* 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))))>
#<alt (sin (* -1/2 (/ x y)))>
#<alt (sin (* -1/2 (/ x y)))>
#<alt (sin (* -1/2 (/ x y)))>
#<alt (sin (* -1/2 (/ x y)))>
#<alt (sin (* -1/2 (/ x y)))>
#<alt (sin (* -1/2 (/ x y)))>
#<alt (sin (* -1/2 (/ x y)))>
#<alt (sin (* -1/2 (/ x y)))>
#<alt (sin (* -1/2 (/ x y)))>
#<alt (sin (* -1/2 (/ x y)))>
#<alt (sin (* -1/2 (/ x y)))>
#<alt (sin (* -1/2 (/ x y)))>
#<alt (* -1/2 (/ x y))>
#<alt (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)>
#<alt (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)>
#<alt (/ (+ (* -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)>
#<alt (* -1/2 (/ x y))>
#<alt (* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))>
#<alt (* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y))>
#<alt (* -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))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)>
#<alt (/ (+ (* -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)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -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))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* 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))))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
Calls

147 calls:

TimeVariablePointExpression
14.0ms
y
@inf
(/ (sin (/ x (* y 2))) (/ (+ 1/2 (* (cos (/ x y)) -1/2)) (tan (/ x (* y 2)))))
3.0ms
y
@-inf
(/ (sin (/ x (* y 2))) (/ (+ 1/2 (* (cos (/ x y)) -1/2)) (tan (/ x (* y 2)))))
2.0ms
y
@inf
(* (/ (/ 1 (sin (/ 1/2 (/ y x)))) (sin (/ 1/2 (/ y x)))) (/ (sin (/ x (* y -2))) (/ 1 (tan (/ x (* y -2))))))
2.0ms
y
@-inf
(* (/ (/ 1 (sin (/ 1/2 (/ y x)))) (sin (/ 1/2 (/ y x)))) (/ (sin (/ x (* y -2))) (/ 1 (tan (/ x (* y -2))))))
2.0ms
y
@inf
(/ (+ 1/2 (* (cos (/ x y)) -1/2)) (tan (/ x (* y 2))))

rewrite387.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
4418×/-lowering-/.f32
4418×/-lowering-/.f64
3710×*-lowering-*.f32
3710×*-lowering-*.f64
1602×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047238
1242221
21819218
08295218
Stop Event
iter limit
node limit
Counts
26 → 824
Calls
Call 1
Inputs
(/ 1 (cos (/ (* x 1/2) y)))
(cos (/ (* x 1/2) y))
(/ (* x 1/2) y)
(* x 1/2)
(+ 1 (* x (/ (/ (* x 1/8) y) y)))
(* x (/ (/ (* x 1/8) y) y))
(/ (/ (* x 1/8) y) y)
(/ (* x 1/8) y)
(/ (tan (/ x (* y 2))) (sin (* (/ (/ -1/2 y) x) (- 0 (* x x)))))
(sin (* (/ (/ -1/2 y) x) (- 0 (* x x))))
(* (/ (/ -1/2 y) x) (- 0 (* x x)))
(tan (/ x (* y 2)))
(/ (sin (/ x (* y 2))) (/ (+ 1/2 (* (cos (/ x y)) -1/2)) (tan (/ x (* y 2)))))
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
(* (/ (/ 1 (sin (/ 1/2 (/ y x)))) (sin (/ 1/2 (/ y x)))) (/ (sin (/ x (* y -2))) (/ 1 (tan (/ x (* y -2))))))
(/ (sin (/ x (* y -2))) (/ 1 (tan (/ x (* y -2)))))
(/ (/ 1 (sin (/ 1/2 (/ y x)))) (sin (/ 1/2 (/ y x))))
(/ 1 (sin (/ 1/2 (/ y x))))
(* x 1/8)
(cos (/ x y))
(/ (+ 1/2 (* (cos (/ x y)) -1/2)) (tan (/ x (* y 2))))
(tan (/ x (* y -2)))
(sin (/ x (* y -2)))
(sin (/ 1/2 (/ y x)))
Outputs
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))
(pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))))
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(cos.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))
(cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 x (/.f64 y #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y #s(literal -1/2 binary64))) (/.f64 x (/.f64 y #s(literal -1/2 binary64))))
(neg.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(neg.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))))
(neg.f64 (sin.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(neg.f64 (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))))
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))))))
(pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))))

simplify544.0ms (4.6%)

Algorithm
egg-herbie
Rules
5772×+-lowering-+.f64
5772×+-lowering-+.f32
4590×*-lowering-*.f32
4590×*-lowering-*.f64
1472×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
098811114
1344710888
0858710888
Stop Event
iter limit
node limit
Counts
588 → 588
Calls
Call 1
Inputs
1
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(/ (+ (* -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)
(* -1/2 (/ x 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))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (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 (/ x 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))
(* 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))))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 5/384 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))))
(+ 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))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 61/46080 binary64) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))))))))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(- (+ 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))))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -5/384 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(- (+ 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))))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -5/384 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y)))))
(+ 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))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y)))))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/384 binary64)) (pow.f64 y #s(literal 4 binary64))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y)) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/384 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/46080 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/384 binary64)) (pow.f64 y #s(literal 4 binary64))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y)) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/384 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/46080 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/.f64 (+.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 y y))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/.f64 (+.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 y y))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/.f64 (+.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 y y))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
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(/.f64 (-.f64 (+.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/16 binary64)) (*.f64 y y))) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/768 binary64)) (pow.f64 y #s(literal 4 binary64))))) (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)))) (+ (* -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))
(/.f64 (-.f64 (+.f64 (+.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) (+.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64)))) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64)))) (pow.f64 y #s(literal 6 binary64))))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/16 binary64)) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/92160 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/768 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/384 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 6 binary64))))))) (neg.f64 y))
(* -1/2 (/ x y))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) y)
(* x (- (* 1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) y)))
(* x (- (* (pow x 2) (+ (* -1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 #s(literal -1/3840 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64))))) (/.f64 #s(literal -1/2 binary64) 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))))
(*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 1/645120 binary64) (*.f64 x x)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 5 binary64))))))) (/.f64 #s(literal -1/2 binary64) y)))
(sin (* -1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(sin (* -1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(sin (* -1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(sin (* -1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(sin (* -1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(sin (* -1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(sin (* -1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(sin (* -1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(sin (* -1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(sin (* -1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(sin (* -1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(sin (* -1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))
(* -1/2 (/ x y))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) y)
(/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y y))) y)
(/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)
(/.f64 (+.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y y))) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64)))) 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)
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64))))) y)
(* -1/2 (/ x y))
(/.f64 (*.f64 x #s(literal -1/2 binary64)) y)
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))
(/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (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 (+.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))) (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 (+.f64 (+.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (+.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))) 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 (+.f64 (+.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y y))) (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 (+.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y 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 (/ (+ (* -1/2 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 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 y))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y 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))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal -1/645120 binary64) (*.f64 x x)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64))))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))))))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))

eval244.0ms (2%)

Compiler

Compiled 47018 to 4071 computations (91.3% saved)

prune363.0ms (3%)

Pruning

93 alts after pruning (90 fresh and 3 done)

PrunedKeptTotal
New1680291709
Fresh196180
Picked325
Done011
Total1702931795
Accuracy
64.1%
Counts
1795 → 93
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.7%
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
55.7%
(pow.f64 (pow.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
57.9%
(pow.f64 (*.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1/2 binary64))
57.8%
(pow.f64 (*.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64))
45.7%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
6.9%
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y))) (/.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.2%
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) (sin.f64 (/.f64 x y))) (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal 0 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.0%
(/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))))) (*.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.3%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
6.1%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.1%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
21.6%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
23.5%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))))
45.6%
(/.f64 (/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.4%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
7.0%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
6.9%
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) #s(literal 1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.3%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
6.5%
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
43.0%
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.9%
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.5%
(/.f64 (*.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))))
5.9%
(/.f64 (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal -1/2 binary64))))
45.8%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.3%
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.1%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
16.1%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y #s(literal -2 binary64)) (+.f64 (*.f64 x x) #s(literal 0 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
24.0%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
23.4%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.1%
(/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.1%
(/.f64 (tan.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
5.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
23.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y #s(literal 2 binary64))) x)))
47.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
33.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))))
12.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 x (*.f64 y #s(literal -2 binary64)))))))
24.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 y #s(literal 2 binary64))))))
27.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 y #s(literal -2 binary64))))))
43.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))))))
23.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x x)))))
10.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) x))))
24.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
10.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) (/.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) y))))
24.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 y #s(literal 1/2 binary64)))))
47.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
26.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))))
23.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (*.f64 x x)))))
42.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
43.3%
(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.6%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.9%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.1%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.5%
(/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.3%
(/.f64 (sin.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
3.0%
(/.f64 (sin.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 y #s(literal -1/2 binary64)) (/.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 y #s(literal -1/2 binary64)))))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
7.2%
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))))
7.0%
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
6.8%
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))))))
7.0%
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)))))))
45.4%
(/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))
6.5%
(/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
7.0%
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
6.8%
(/.f64 (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
24.0%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
47.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))))
58.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))))
58.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
58.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
58.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))
7.0%
(-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 (*.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
6.6%
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
54.6%
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) y)))
51.4%
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 x #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
30.7%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
6.0%
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
43.5%
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (/.f64 (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
6.3%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
30.4%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (*.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))))
37.6%
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) y) (*.f64 #s(literal 2 binary64) y)) x) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
13.4%
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 x x)) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
6.9%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x y))) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
6.6%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
5.6%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
0.9%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
5.6%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
45.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
6.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
46.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
19.3%
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (*.f64 y y))) (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/6 binary64)))) (neg.f64 y)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
13.1%
(*.f64 (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
21.0%
(*.f64 (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x)) (*.f64 y y))) (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/6 binary64))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
58.8%
#s(literal 1 binary64)
Compiler

Compiled 4721 to 2977 computations (36.9% saved)

simplify209.0ms (1.8%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff13312
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
cost-diff13312
(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))
cost-diff13312
(tan.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))
cost-diff13312
(/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
cost-diff0
(*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))
cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64)))
cost-diff0
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x y)))
cost-diff0
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x y))) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
cost-diff256
(/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x x))
cost-diff384
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x x)))
cost-diff384
(sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x x))))
cost-diff384
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x x)))))
cost-diff0
(*.f64 x #s(literal -1/8 binary64))
cost-diff128
(/.f64 (*.f64 x #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
cost-diff128
(*.f64 x (/.f64 (*.f64 x #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 x #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
cost-diff128
(*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
cost-diff12928
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
cost-diff12928
(cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
cost-diff12928
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))
Rules
3334×*-lowering-*.f32
3334×*-lowering-*.f64
1850×sum3-define
1636×fma-define
1424×fma-lowering-fma.f32
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
047334
196314
2195293
3482285
41606285
52584285
63543284
74673284
87511284
08154284
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (cos (exp (* (log (/ y (* x 1/2))) -1))))
1
(cos (exp (* (log (/ y (* x 1/2))) -1)))
(exp (* (log (/ y (* x 1/2))) -1))
(* (log (/ y (* x 1/2))) -1)
(log (/ y (* x 1/2)))
(/ y (* x 1/2))
y
(* x 1/2)
x
1/2
-1
(+ 1 (* x (/ (* x -1/8) (- 0 (* y y)))))
1
(* x (/ (* x -1/8) (- 0 (* y y))))
x
(/ (* x -1/8) (- 0 (* y y)))
(* x -1/8)
-1/8
(- 0 (* y y))
0
(* y y)
y
(/ (tan (/ x (* y 2))) (sin (/ 1 (/ (* x (* y 2)) (* x x)))))
(tan (/ x (* y 2)))
(/ x (* y 2))
x
(* y 2)
y
2
(sin (/ 1 (/ (* x (* y 2)) (* x x))))
(/ 1 (/ (* x (* y 2)) (* x x)))
1
(/ (* x (* y 2)) (* x x))
(* x (* y 2))
(* x x)
(* (/ (+ 1/2 (* (cos (/ x y)) -1/2)) (sin (/ x y))) (/ 2 (sin (/ x (* y 2)))))
(/ (+ 1/2 (* (cos (/ x y)) -1/2)) (sin (/ x y)))
(+ 1/2 (* (cos (/ x y)) -1/2))
1/2
(* (cos (/ x y)) -1/2)
(cos (/ x y))
(/ x y)
x
y
-1/2
(sin (/ x y))
(/ 2 (sin (/ x (* y 2))))
2
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
(/ (tan (/ x (/ (/ 1 (pow (/ y 1/2) -1/2)) (pow (/ y 1/2) -1/2)))) (sin (/ x (* y 2))))
(tan (/ x (/ (/ 1 (pow (/ y 1/2) -1/2)) (pow (/ y 1/2) -1/2))))
(/ x (/ (/ 1 (pow (/ y 1/2) -1/2)) (pow (/ y 1/2) -1/2)))
x
(/ (/ 1 (pow (/ y 1/2) -1/2)) (pow (/ y 1/2) -1/2))
(/ 1 (pow (/ y 1/2) -1/2))
1
(pow (/ y 1/2) -1/2)
(/ y 1/2)
y
1/2
-1/2
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
2
Outputs
(/ 1 (cos (exp (* (log (/ y (* x 1/2))) -1))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
1
#s(literal 1 binary64)
(cos (exp (* (log (/ y (* x 1/2))) -1)))
(cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(exp (* (log (/ y (* x 1/2))) -1))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(* (log (/ y (* x 1/2))) -1)
(log.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(log (/ y (* x 1/2)))
(log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))
(/ y (* x 1/2))
(/.f64 y (/.f64 x #s(literal 2 binary64)))
y
(* x 1/2)
(/.f64 x #s(literal 2 binary64))
x
1/2
#s(literal 1/2 binary64)
-1
#s(literal -1 binary64)
(+ 1 (* x (/ (* x -1/8) (- 0 (* y y)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/8 binary64)) y))
1
#s(literal 1 binary64)
(* x (/ (* x -1/8) (- 0 (* y y))))
(/.f64 (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/8 binary64)) y)
x
(/ (* x -1/8) (- 0 (* y y)))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/8 binary64)) y)
(* x -1/8)
(*.f64 x #s(literal -1/8 binary64))
-1/8
#s(literal -1/8 binary64)
(- 0 (* y y))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
0
#s(literal 0 binary64)
(* y y)
(*.f64 y y)
y
(/ (tan (/ x (* y 2))) (sin (/ 1 (/ (* x (* y 2)) (* x x)))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(tan (/ x (* y 2)))
(tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ x (* y 2))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
x
(* y 2)
(/.f64 y #s(literal 1/2 binary64))
y
2
#s(literal 2 binary64)
(sin (/ 1 (/ (* x (* y 2)) (* x x))))
(sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ 1 (/ (* x (* y 2)) (* x x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
1
#s(literal 1 binary64)
(/ (* x (* y 2)) (* x x))
(/.f64 y (/.f64 x #s(literal 2 binary64)))
(* x (* y 2))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(* x x)
(*.f64 x x)
(* (/ (+ 1/2 (* (cos (/ x y)) -1/2)) (sin (/ x y))) (/ 2 (sin (/ x (* y 2)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sin.f64 (/.f64 x y))))
(/ (+ 1/2 (* (cos (/ x y)) -1/2)) (sin (/ x y)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x y)))
(+ 1/2 (* (cos (/ x y)) -1/2))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* (cos (/ x y)) -1/2)
(*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(/ x y)
(/.f64 x y)
x
y
-1/2
#s(literal -1/2 binary64)
(sin (/ x y))
(sin.f64 (/.f64 x y))
(/ 2 (sin (/ x (* y 2))))
(/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
2
#s(literal 2 binary64)
(sin (/ x (* y 2)))
(sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ x (* y 2))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(* y 2)
(/.f64 y #s(literal 1/2 binary64))
(/ (tan (/ x (/ (/ 1 (pow (/ y 1/2) -1/2)) (pow (/ y 1/2) -1/2)))) (sin (/ x (* y 2))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(tan (/ x (/ (/ 1 (pow (/ y 1/2) -1/2)) (pow (/ y 1/2) -1/2))))
(tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ x (/ (/ 1 (pow (/ y 1/2) -1/2)) (pow (/ y 1/2) -1/2)))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
x
(/ (/ 1 (pow (/ y 1/2) -1/2)) (pow (/ y 1/2) -1/2))
(/.f64 y #s(literal 1/2 binary64))
(/ 1 (pow (/ y 1/2) -1/2))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
1
#s(literal 1 binary64)
(pow (/ y 1/2) -1/2)
(pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(/ y 1/2)
(/.f64 y #s(literal 1/2 binary64))
y
1/2
#s(literal 1/2 binary64)
-1/2
#s(literal -1/2 binary64)
(sin (/ x (* y 2)))
(sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ x (* y 2))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(* y 2)
(/.f64 y #s(literal 1/2 binary64))
2
#s(literal 2 binary64)

localize537.0ms (4.5%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.5%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
accuracy89.1%
(/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
accuracy58.4%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy57.9%
(tan.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))
accuracy74.3%
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x y)))
accuracy58.6%
(cos.f64 (/.f64 x y))
accuracy58.4%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy58.2%
(sin.f64 (/.f64 x y))
accuracy89.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x x)))))
accuracy68.9%
(/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x x))
accuracy58.4%
(sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x x))))
accuracy57.9%
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(*.f64 x #s(literal -1/8 binary64))
accuracy97.0%
(*.f64 x (/.f64 (*.f64 x #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
accuracy87.8%
(/.f64 (*.f64 x #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
accuracy99.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))
accuracy93.8%
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
accuracy75.5%
(log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64))))
accuracy58.4%
(cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
Results
284.0ms179×1valid
83.0ms42×2valid
70.0ms28×3valid
4.0ms0valid
Compiler

Compiled 376 to 48 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 294.0ms
ival-div: 59.0ms (20.1% of total)
ival-mult: 41.0ms (14% of total)
backward-pass: 36.0ms (12.3% of total)
ival-pow: 34.0ms (11.6% of total)
ival-cos: 29.0ms (9.9% of total)
ival-log: 27.0ms (9.2% of total)
ival-tan: 24.0ms (8.2% of total)
ival-sin: 22.0ms (7.5% of total)
ival-exp: 11.0ms (3.7% of total)
ival-add: 6.0ms (2% of total)
ival-sub: 3.0ms (1% of total)
const: 2.0ms (0.7% of total)

series196.0ms (1.6%)

Counts
26 → 588
Calls
Call 1
Inputs
#<alt (/ 1 (cos (exp (* (log (/ y (* x 1/2))) -1))))>
#<alt (cos (exp (* (log (/ y (* x 1/2))) -1)))>
#<alt (exp (* (log (/ y (* x 1/2))) -1))>
#<alt (* (log (/ y (* x 1/2))) -1)>
#<alt (+ 1 (* x (/ (* x -1/8) (- 0 (* y y)))))>
#<alt (* x (/ (* x -1/8) (- 0 (* y y))))>
#<alt (/ (* x -1/8) (- 0 (* y y)))>
#<alt (* x -1/8)>
#<alt (/ (tan (/ x (* y 2))) (sin (/ 1 (/ (* x (* y 2)) (* x x)))))>
#<alt (sin (/ 1 (/ (* x (* y 2)) (* x x))))>
#<alt (/ 1 (/ (* x (* y 2)) (* x x)))>
#<alt (/ (* x (* y 2)) (* x x))>
#<alt (* (/ (+ 1/2 (* (cos (/ x y)) -1/2)) (sin (/ x y))) (/ 2 (sin (/ x (* y 2)))))>
#<alt (/ (+ 1/2 (* (cos (/ x y)) -1/2)) (sin (/ x y)))>
#<alt (+ 1/2 (* (cos (/ x y)) -1/2))>
#<alt (* (cos (/ x y)) -1/2)>
#<alt (/ (tan (/ x (/ (/ 1 (pow (/ y 1/2) -1/2)) (pow (/ y 1/2) -1/2)))) (sin (/ x (* y 2))))>
#<alt (tan (/ x (/ (/ 1 (pow (/ y 1/2) -1/2)) (pow (/ y 1/2) -1/2))))>
#<alt (/ x (/ (/ 1 (pow (/ y 1/2) -1/2)) (pow (/ y 1/2) -1/2)))>
#<alt (/ (/ 1 (pow (/ y 1/2) -1/2)) (pow (/ y 1/2) -1/2))>
#<alt (log (/ y (* x 1/2)))>
#<alt (* y y)>
#<alt (tan (/ x (* y 2)))>
#<alt (sin (/ x y))>
#<alt (sin (/ x (* y 2)))>
#<alt (cos (/ x y))>
Outputs
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 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))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 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))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 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))))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))>
#<alt (+ 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))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))>
#<alt (+ 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))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 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))))))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (+ (log y) (log (/ 2 x))))>
#<alt (* -1 (+ (log y) (log (/ 2 x))))>
#<alt (* -1 (+ (log y) (log (/ 2 x))))>
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#<alt (/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))>
#<alt (/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))>
#<alt (/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))>
#<alt (/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))>
#<alt (/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))>
#<alt (/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))>
#<alt (/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))>
#<alt (/ (* x (pow (sqrt 1/2) 2)) y)>
#<alt (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* x (pow (sqrt 1/2) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2)))) y)>
#<alt (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4)))))) y)>
#<alt (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))))) (pow y 6))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 6))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))))))))) y)>
#<alt (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))>
#<alt (* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* x (pow (sqrt -1/2) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2)))) y))>
#<alt (* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* 1/24 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4)))))) y))>
#<alt (* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt -1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))))) (pow y 6))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt -1/2) 14)) (pow y 6))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 6))) (* 1/24 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))))))))) y))>
#<alt (/ (* x (pow (sqrt 1/2) 2)) y)>
#<alt (/ (* x (pow (sqrt 1/2) 2)) y)>
#<alt (/ (* x (pow (sqrt 1/2) 2)) y)>
#<alt (/ (* x (pow (sqrt 1/2) 2)) y)>
#<alt (/ (* x (pow (sqrt 1/2) 2)) y)>
#<alt (/ (* x (pow (sqrt 1/2) 2)) y)>
#<alt (/ (* x (pow (sqrt 1/2) 2)) y)>
#<alt (/ (* x (pow (sqrt 1/2) 2)) y)>
#<alt (/ (* x (pow (sqrt 1/2) 2)) y)>
#<alt (/ (* x (pow (sqrt 1/2) 2)) y)>
#<alt (/ (* x (pow (sqrt 1/2) 2)) y)>
#<alt (/ (* x (pow (sqrt 1/2) 2)) y)>
#<alt (/ (* x (pow (sqrt 1/2) 2)) y)>
#<alt (/ (* x (pow (sqrt 1/2) 2)) y)>
#<alt (/ (* x (pow (sqrt 1/2) 2)) y)>
#<alt (/ (* x (pow (sqrt 1/2) 2)) y)>
#<alt (/ (* x (pow (sqrt 1/2) 2)) y)>
#<alt (/ (* x (pow (sqrt 1/2) 2)) y)>
#<alt (/ (* x (pow (sqrt 1/2) 2)) y)>
#<alt (/ (* x (pow (sqrt 1/2) 2)) y)>
#<alt (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))>
#<alt (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))>
#<alt (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))>
#<alt (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))>
#<alt (/ y (pow (sqrt 1/2) 2))>
#<alt (/ y (pow (sqrt 1/2) 2))>
#<alt (/ y (pow (sqrt 1/2) 2))>
#<alt (/ y (pow (sqrt 1/2) 2))>
#<alt (/ y (pow (sqrt 1/2) 2))>
#<alt (/ y (pow (sqrt 1/2) 2))>
#<alt (/ y (pow (sqrt 1/2) 2))>
#<alt (/ y (pow (sqrt 1/2) 2))>
#<alt (* -1 (/ y (pow (sqrt -1/2) 2)))>
#<alt (* -1 (/ y (pow (sqrt -1/2) 2)))>
#<alt (* -1 (/ y (pow (sqrt -1/2) 2)))>
#<alt (* -1 (/ y (pow (sqrt -1/2) 2)))>
#<alt (+ (log y) (log (/ 2 x)))>
#<alt (+ (log y) (log (/ 2 x)))>
#<alt (+ (log y) (log (/ 2 x)))>
#<alt (+ (log y) (log (/ 2 x)))>
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ 2 x)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))>
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))>
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))>
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))>
#<alt (+ (log (* 2 y)) (* -1 (log x)))>
#<alt (+ (log (* 2 y)) (* -1 (log x)))>
#<alt (+ (log (* 2 y)) (* -1 (log x)))>
#<alt (+ (log (* 2 y)) (* -1 (log x)))>
#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* 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))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)>
#<alt (/ (- (+ (* -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)>
#<alt (/ (- (+ (* -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)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (/ x y)>
#<alt (* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))>
#<alt (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))>
#<alt (* 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)))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)>
#<alt (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)>
#<alt (/ (+ 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)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -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))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* 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))))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)>
#<alt (/ (+ (* -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)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -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))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))>
#<alt (+ 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))))))>
#<alt (cos (/ x y))>
#<alt (cos (/ x y))>
#<alt (cos (/ x y))>
#<alt (cos (/ x y))>
#<alt (cos (/ x y))>
#<alt (cos (/ x y))>
#<alt (cos (/ x y))>
#<alt (cos (/ x y))>
#<alt (cos (/ x y))>
#<alt (cos (/ x y))>
#<alt (cos (/ x y))>
#<alt (cos (/ x y))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))>
#<alt (+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))>
Calls

147 calls:

TimeVariablePointExpression
43.0ms
y
@-inf
(* (log (/ y (* x 1/2))) -1)
41.0ms
y
@0
(* (log (/ y (* x 1/2))) -1)
21.0ms
x
@-inf
(* (log (/ y (* x 1/2))) -1)
17.0ms
x
@0
(/ (tan (/ x (/ (/ 1 (pow (/ y 1/2) -1/2)) (pow (/ y 1/2) -1/2)))) (sin (/ x (* y 2))))
14.0ms
x
@0
(* (log (/ y (* x 1/2))) -1)

rewrite332.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
4406×/-lowering-/.f32
4406×/-lowering-/.f64
3484×*-lowering-*.f32
3484×*-lowering-*.f64
1436×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047251
1252185
21750184
08428184
Stop Event
iter limit
node limit
Counts
26 → 1236
Calls
Call 1
Inputs
(/ 1 (cos (exp (* (log (/ y (* x 1/2))) -1))))
(cos (exp (* (log (/ y (* x 1/2))) -1)))
(exp (* (log (/ y (* x 1/2))) -1))
(* (log (/ y (* x 1/2))) -1)
(+ 1 (* x (/ (* x -1/8) (- 0 (* y y)))))
(* x (/ (* x -1/8) (- 0 (* y y))))
(/ (* x -1/8) (- 0 (* y y)))
(* x -1/8)
(/ (tan (/ x (* y 2))) (sin (/ 1 (/ (* x (* y 2)) (* x x)))))
(sin (/ 1 (/ (* x (* y 2)) (* x x))))
(/ 1 (/ (* x (* y 2)) (* x x)))
(/ (* x (* y 2)) (* x x))
(* (/ (+ 1/2 (* (cos (/ x y)) -1/2)) (sin (/ x y))) (/ 2 (sin (/ x (* y 2)))))
(/ (+ 1/2 (* (cos (/ x y)) -1/2)) (sin (/ x y)))
(+ 1/2 (* (cos (/ x y)) -1/2))
(* (cos (/ x y)) -1/2)
(/ (tan (/ x (/ (/ 1 (pow (/ y 1/2) -1/2)) (pow (/ y 1/2) -1/2)))) (sin (/ x (* y 2))))
(tan (/ x (/ (/ 1 (pow (/ y 1/2) -1/2)) (pow (/ y 1/2) -1/2))))
(/ x (/ (/ 1 (pow (/ y 1/2) -1/2)) (pow (/ y 1/2) -1/2)))
(/ (/ 1 (pow (/ y 1/2) -1/2)) (pow (/ y 1/2) -1/2))
(log (/ y (* x 1/2)))
(* y y)
(tan (/ x (* y 2)))
(sin (/ x y))
(sin (/ x (* y 2)))
(cos (/ x y))
Outputs
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))
(pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
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(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 y x)))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(+.f64 (log.f64 (/.f64 y x)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 y))
(+.f64 (log.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (log.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)))
(+.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) x)) (log.f64 x))
(+.f64 (log.f64 (*.f64 x (/.f64 y #s(literal 1/2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (*.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (*.f64 x (/.f64 y #s(literal -1/2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x)))))
(+.f64 (log.f64 (*.f64 y x)) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 (log.f64 (*.f64 y x)) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(+.f64 (log.f64 (/.f64 (*.f64 y x) x)) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(-.f64 (log.f64 y) (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(-.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) (log.f64 x))
(-.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) (log.f64 (*.f64 #s(literal 1 binary64) x)))
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(-.f64 (log.f64 (/.f64 y x)) (log.f64 #s(literal 1/2 binary64)))
(-.f64 (log.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (log.f64 (/.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (log.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(-.f64 (log.f64 (*.f64 x (/.f64 y #s(literal 1/2 binary64)))) (log.f64 (*.f64 x x)))
(-.f64 (log.f64 (*.f64 x (/.f64 y #s(literal -1/2 binary64)))) (log.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x))))
(-.f64 (log.f64 (*.f64 x (/.f64 y #s(literal -1/2 binary64)))) (log.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))) (log.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64)))))
(-.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 y x))) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 (/.f64 y #s(literal -1/2 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 (log.f64 (neg.f64 (*.f64 x (/.f64 y #s(literal -1/2 binary64))))) (log.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)))))
(-.f64 (log.f64 (neg.f64 (/.f64 y x))) (log.f64 #s(literal -1/2 binary64)))
(-.f64 (log.f64 (*.f64 (*.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))) (log.f64 (*.f64 x x)))
(-.f64 (log.f64 (*.f64 y #s(literal 1 binary64))) (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 y) (log.f64 (*.f64 x #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 y) (log.f64 (*.f64 x #s(literal 1/2 binary64))))))))
(-.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (log.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(neg.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 y) (log.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 y) (log.f64 (*.f64 x #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 #s(literal 2 binary64) x))) (*.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)) (log.f64 (-.f64 #s(literal 0 binary64) y))) (+.f64 (*.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) (log.f64 (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)) (log.f64 (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (/.f64 y x)) (log.f64 (/.f64 y x))) (+.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 1/2 binary64))) (*.f64 (log.f64 (/.f64 y x)) (log.f64 #s(literal 1/2 binary64))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 y y))
(+.f64 (*.f64 y y) #s(literal 0 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(fma.f64 y y #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))
(/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 0 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))))))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(*.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 y y)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 y (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(*.f64 (/.f64 y y) (/.f64 (*.f64 y (*.f64 y y)) y))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) y) (/.f64 y y))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) y) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 (*.f64 y y) y) (/.f64 (*.f64 y y) y))
(*.f64 (/.f64 (*.f64 y y) y) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y y) y))
(*.f64 (/.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y))
(*.f64 (/.f64 (*.f64 y y) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) y))
(*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) y) (/.f64 (*.f64 y y) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y y)) y))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(neg.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(sin.f64 (/.f64 x y))
(neg.f64 (sin.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y))))
(neg.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y)))
(sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(neg.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))))
(cos.f64 (/.f64 x y))
(cos.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y))

simplify612.0ms (5.1%)

Algorithm
egg-herbie
Rules
4808×+-lowering-+.f64
4808×+-lowering-+.f32
4498×*-lowering-*.f32
4498×*-lowering-*.f64
1618×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0103610111
135519434
084159434
Stop Event
iter limit
node limit
Counts
588 → 588
Calls
Call 1
Inputs
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(- (+ 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 (* 1/8 (/ (pow x 2) (pow y 2))))
(- (+ 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 (* 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 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 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
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 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
(+ 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))))))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
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(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/80640 (/ (pow x 2) (pow y 8))) (* 1/1440 (/ 1 (pow y 6))))) (* 1/48 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2)))))
(+ 1/2 (* -1/2 (cos (/ x y))))
(+ 1/2 (* -1/2 (cos (/ x y))))
(+ 1/2 (* -1/2 (cos (/ x y))))
(+ 1/2 (* -1/2 (cos (/ x y))))
(+ 1/2 (* -1/2 (cos (/ x y))))
(+ 1/2 (* -1/2 (cos (/ x y))))
(+ 1/2 (* -1/2 (cos (/ x y))))
(+ 1/2 (* -1/2 (cos (/ x y))))
(+ 1/2 (* -1/2 (cos (/ x y))))
(+ 1/2 (* -1/2 (cos (/ x y))))
(+ 1/2 (* -1/2 (cos (/ x y))))
(+ 1/2 (* -1/2 (cos (/ x y))))
(* 1/4 (/ (pow x 2) (pow y 2)))
(/ (+ (* -1/48 (/ (pow x 4) (pow y 2))) (* 1/4 (pow x 2))) (pow y 2))
(/ (+ (* -1/48 (/ (pow x 4) (pow y 2))) (+ (* 1/1440 (/ (pow x 6) (pow y 4))) (* 1/4 (pow x 2)))) (pow y 2))
(/ (+ (* -1/48 (/ (pow x 4) (pow y 2))) (+ (* -1/80640 (/ (pow x 8) (pow y 6))) (+ (* 1/1440 (/ (pow x 6) (pow y 4))) (* 1/4 (pow x 2))))) (pow y 2))
(* 1/4 (/ (pow x 2) (pow y 2)))
(/ (+ (* -1/48 (/ (pow x 4) (pow y 2))) (* 1/4 (pow x 2))) (pow y 2))
(/ (+ (* -1/48 (/ (pow x 4) (pow y 2))) (+ (* 1/1440 (/ (pow x 6) (pow y 4))) (* 1/4 (pow x 2)))) (pow y 2))
(/ (+ (* -1/48 (/ (pow x 4) (pow y 2))) (+ (* -1/80640 (/ (pow x 8) (pow y 6))) (+ (* 1/1440 (/ (pow x 6) (pow y 4))) (* 1/4 (pow x 2))))) (pow y 2))
-1/2
(- (* 1/4 (/ (pow x 2) (pow y 2))) 1/2)
(- (* (pow x 2) (+ (* -1/48 (/ (pow x 2) (pow y 4))) (* 1/4 (/ 1 (pow y 2))))) 1/2)
(- (* (pow x 2) (+ (* (pow x 2) (- (* 1/1440 (/ (pow x 2) (pow y 6))) (* 1/48 (/ 1 (pow y 4))))) (* 1/4 (/ 1 (pow y 2))))) 1/2)
(* -1/2 (cos (/ x y)))
(* -1/2 (cos (/ x y)))
(* -1/2 (cos (/ x y)))
(* -1/2 (cos (/ x y)))
(* -1/2 (cos (/ x y)))
(* -1/2 (cos (/ x y)))
(* -1/2 (cos (/ x y)))
(* -1/2 (cos (/ x y)))
(* -1/2 (cos (/ x y)))
(* -1/2 (cos (/ x y)))
(* -1/2 (cos (/ x y)))
(* -1/2 (cos (/ x y)))
-1/2
(- (* 1/4 (/ (pow x 2) (pow y 2))) 1/2)
(- (+ (* -1/48 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) 1/2)
(- (+ (* -1/48 (/ (pow x 4) (pow y 4))) (+ (* 1/1440 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2))))) 1/2)
-1/2
(- (* 1/4 (/ (pow x 2) (pow y 2))) 1/2)
(- (+ (* -1/48 (/ (pow x 4) (pow y 4))) (* 1/4 (/ (pow x 2) (pow y 2)))) 1/2)
(- (+ (* -1/48 (/ (pow x 4) (pow y 4))) (+ (* 1/1440 (/ (pow x 6) (pow y 6))) (* 1/4 (/ (pow x 2) (pow y 2))))) 1/2)
(* 2 (pow (sqrt 1/2) 2))
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))))
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))))
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (+ (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* (pow x 2) (- (* 2 (* y (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))) (pow y 2))) (+ (* -1/161280 (/ (pow (sqrt 1/2) 2) (pow y 6))) (* 1/1920 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(* 2 (pow (sqrt 1/2) 2))
(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (* 2 (pow (sqrt 1/2) 2))) (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))))
(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (+ (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) (* x (pow y 4)))) (* 2 (pow (sqrt 1/2) 2)))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 4))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4))))))
(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt 1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt 1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))))))) (* x (pow y 6)))) (+ (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) (* x (pow y 4)))) (* 2 (pow (sqrt 1/2) 2))))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2)))))) (* 1/960 (* (pow x 4) (pow (sqrt 1/2) 2)))))) (pow y 6))) (+ (* -1/161280 (/ (* (pow x 6) (pow (sqrt 1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 6))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4)))))))))
(* -2 (pow (sqrt -1/2) 2))
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (* -2 (pow (sqrt -1/2) 2))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))))
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) (* x (pow y 4)))) (* -2 (pow (sqrt -1/2) 2)))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 4))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt -1/2) 2)) (pow y 4))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))))))
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt -1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt -1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))))))) (* x (pow y 6)))) (+ (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) (* x (pow y 4)))) (* -2 (pow (sqrt -1/2) 2))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2)))))) (* -1/960 (* (pow x 4) (pow (sqrt -1/2) 2)))))) (pow y 6))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt -1/2) 2)) (pow y 4))) (+ (* 1/161280 (/ (* (pow x 6) (pow (sqrt -1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 6))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2)))))))))
(/ (* x (pow (sqrt 1/2) 2)) y)
(* x (+ (* (pow x 2) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (- (+ (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (* (pow x 2) (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* x (pow (sqrt 1/2) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2)))) y)
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4)))))) y)
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))))) (pow y 6))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 6))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))))))))) y)
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* x (pow (sqrt -1/2) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2)))) y))
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(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(/ y (pow (sqrt 1/2) 2))
(/ y (pow (sqrt 1/2) 2))
(/ y (pow (sqrt 1/2) 2))
(/ y (pow (sqrt 1/2) 2))
(/ y (pow (sqrt 1/2) 2))
(/ y (pow (sqrt 1/2) 2))
(/ y (pow (sqrt 1/2) 2))
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(* -1 (/ y (pow (sqrt -1/2) 2)))
(* -1 (/ y (pow (sqrt -1/2) 2)))
(* -1 (/ y (pow (sqrt -1/2) 2)))
(* -1 (/ y (pow (sqrt -1/2) 2)))
(+ (log y) (log (/ 2 x)))
(+ (log y) (log (/ 2 x)))
(+ (log y) (log (/ 2 x)))
(+ (log y) (log (/ 2 x)))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
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(+ (log (* 2 y)) (* -1 (log x)))
(+ (log (* 2 y)) (* -1 (log x)))
(+ (log (* 2 y)) (* -1 (log x)))
(+ (log (* 2 y)) (log (/ 1 x)))
(+ (log (* 2 y)) (log (/ 1 x)))
(+ (log (* 2 y)) (log (/ 1 x)))
(+ (log (* 2 y)) (log (/ 1 x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(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))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
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(/ (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))) (cos (* 1/2 (/ x y))))
(/ (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))) (cos (* 1/2 (/ x y))))
(/ (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))) (cos (* 1/2 (/ x y))))
(* 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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(* -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))
(/ x y)
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(sin (/ x y))
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(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
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(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(/ x y)
(/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)
(/ (+ 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)
(/ x y)
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(sin (* 1/2 (/ x y)))
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(/ (+ (* -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)
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(* -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 (* -1/2 (/ (pow x 2) (pow y 2))))
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(+ 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))))))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
(cos (/ x y))
1
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
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(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))
1
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(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))
Outputs
(/ 1 (cos (* 1/2 (/ x y))))
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(/ 1 (cos (* 1/2 (/ x y))))
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(* -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 (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/24 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)) (*.f64 y y)))) (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 (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/24 binary64))) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/24 binary64))) (pow.f64 y #s(literal 4 binary64))))) (+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/92160 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)) (*.f64 y y)) (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/384 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/24 binary64))) (pow.f64 y #s(literal 6 binary64))))))) (neg.f64 y))
(/ x y)
(/.f64 x y)
(* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 y (*.f64 y y)))))
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y 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)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64))))) (/.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)
(/.f64 (+.f64 x (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) y)
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)
(/.f64 (+.f64 (+.f64 x (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))) 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)
(/.f64 (+.f64 (+.f64 (+.f64 x (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) 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 (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) x) (/.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 (-.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (/.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64))))) x) (neg.f64 y))
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y)))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y 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))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal -1/645120 binary64) (*.f64 x x)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64))))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))))))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) 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 (+.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64))))) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y y)) (*.f64 x #s(literal -1/2 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 (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) (/.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 (/ (+ (* -1/2 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 (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y y)))
(+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
(+ 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))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y)))))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(cos (/ x y))
(cos.f64 (/.f64 x y))
(cos (/ x y))
(cos.f64 (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y y)))
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y y))) (+.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y y)))
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))))
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y y))) (+.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))))

eval249.0ms (2.1%)

Compiler

Compiled 41019 to 5381 computations (86.9% saved)

prune426.0ms (3.6%)

Pruning

113 alts after pruning (108 fresh and 5 done)

PrunedKeptTotal
New1790601850
Fresh374885
Picked235
Done123
Total18301131943
Accuracy
64.6%
Counts
1943 → 113
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.7%
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
57.9%
(pow.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))
57.8%
(pow.f64 (*.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64))
45.7%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
6.3%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
43.1%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
21.6%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
23.5%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))))
45.6%
(/.f64 (/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.0%
(/.f64 (/.f64 #s(literal 2 binary64) (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
7.0%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
6.9%
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) #s(literal 1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.3%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
6.5%
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
6.5%
(/.f64 (*.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))))
5.9%
(/.f64 (*.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y))) (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal -1/2 binary64))))
42.4%
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.1%
(/.f64 (tan.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.5%
(/.f64 (tan.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
34.0%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.1%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
24.0%
(/.f64 (tan.f64 (/.f64 (*.f64 x x) (*.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.1%
(/.f64 (tan.f64 (/.f64 x (pow.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.4%
(/.f64 (tan.f64 (/.f64 x (pow.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) #s(literal -4 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.0%
(/.f64 (tan.f64 (/.f64 x (pow.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.1%
(/.f64 (tan.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
41.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y))))))
42.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))))))
43.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 x #s(literal 1/2 binary64)))))))
46.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
47.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
33.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) x))))
33.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))))
12.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 x (*.f64 y #s(literal -2 binary64)))))))
43.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))))))
23.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x x)))))
42.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (log.f64 (/.f64 y x))) (exp.f64 (log.f64 #s(literal 1/2 binary64)))))))
23.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y (*.f64 x x))))))
45.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))))
26.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 x (*.f64 x x))))))
42.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)))))))
24.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x))))
10.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) x))))
32.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 x (*.f64 y x)) (/.f64 x #s(literal 2 binary64)))))
47.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
32.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) x)))
43.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
45.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 x (/.f64 #s(literal 2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.3%
(/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.6%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
33.0%
(/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 y x)) (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.1%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
32.9%
(/.f64 (tan.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.6%
(/.f64 (tan.f64 (exp.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.3%
(/.f64 (sin.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
3.0%
(/.f64 (sin.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 y #s(literal -1/2 binary64)) (/.f64 y #s(literal -1/2 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 y #s(literal -1/2 binary64)))))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
7.0%
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))
6.8%
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))))))
7.0%
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)))))))
7.0%
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
6.8%
(/.f64 (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
24.0%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
47.2%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
47.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))))
58.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
58.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y))))))
58.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))))))
58.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 x #s(literal 1/2 binary64)))))))
52.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 y #s(literal 1/2 binary64))) x)))
58.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))))
46.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x x) (*.f64 x (/.f64 y #s(literal 1/2 binary64))))))
57.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) x) (/.f64 #s(literal 1 binary64) x)))))
58.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
58.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))))))
58.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))))
58.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)))))
51.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 y x)) (/.f64 x #s(literal 2 binary64)))))
58.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
58.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 y)))))
52.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))))
58.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
51.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) x)))
58.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (-.f64 (log.f64 (/.f64 x y)) (log.f64 #s(literal 2 binary64))))))
58.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (-.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (log.f64 y)))))
57.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) x))))))
46.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (-.f64 (log.f64 (*.f64 x x)) (log.f64 (*.f64 x (/.f64 y #s(literal 1/2 binary64))))))))
58.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y #s(literal 1/2 binary64)))) (log.f64 (/.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))))))
46.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))))
46.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))))) #s(literal -1 binary64)))))
58.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
7.0%
(-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 (*.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
22.7%
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y y)))
54.6%
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) y)))
51.4%
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 x #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
6.0%
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
6.3%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
30.4%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (*.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))))
37.6%
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) y) (*.f64 #s(literal 2 binary64) y)) x) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
13.4%
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 x x)) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
3.4%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x y))) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
6.9%
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x y))) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
45.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
6.5%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
7.0%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))))) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
46.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
6.5%
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
19.3%
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (*.f64 y y))) (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/6 binary64)))) (neg.f64 y)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
13.1%
(*.f64 (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
21.0%
(*.f64 (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x)) (*.f64 y y))) (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/6 binary64))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
58.8%
#s(literal 1 binary64)
Compiler

Compiled 6750 to 2494 computations (63.1% saved)

regimes315.0ms (2.6%)

Counts
187 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) y)))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 x #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y 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 y x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 y x)) (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x x) (*.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 y #s(literal 1/2 binary64))) x)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) x) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) y) (*.f64 #s(literal 2 binary64) y)) x) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 y (*.f64 y y))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))
(*.f64 (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x)) (*.f64 y y))) (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/6 binary64))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (*.f64 y y))) (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/6 binary64)))) (neg.f64 y)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (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 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (tan.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))))
(/.f64 (tan.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 y x)) (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 x (/.f64 #s(literal 2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) x)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 x (*.f64 y x)) (/.f64 x #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y #s(literal 2 binary64))) x)))
(/.f64 (tan.f64 (/.f64 (*.f64 x x) (*.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 x (*.f64 x x))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x x)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) x))))
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x y))) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y (*.f64 x x))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 y #s(literal -2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y #s(literal -2 binary64)) (+.f64 (*.f64 x x) #s(literal 0 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))))
(*.f64 (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 x x)) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (*.f64 x (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) x))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) (/.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 x (*.f64 y #s(literal -2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(pow.f64 (pow.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(pow.f64 (*.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1/2 binary64))
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(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (/.f64 (*.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) #s(literal 1 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))))) (*.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) #s(literal -1/2 binary64)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))))
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (log.f64 (/.f64 y x))) (exp.f64 (log.f64 #s(literal 1/2 binary64)))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (/.f64 (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y))) (/.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (*.f64 y #s(literal 2 binary64))))))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 y (*.f64 x #s(literal 1/2 binary64)))) (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) #s(literal 1 binary64)))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))))))
(/.f64 (tan.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 x #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 2 binary64))) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) (sin.f64 (/.f64 x y))) (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal 0 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))))) (*.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))))))
Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
#s(literal 1 binary64)
Calls

5 calls:

85.0ms
x
55.0ms
(*.f64 y #s(literal 2 binary64))
52.0ms
y
50.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
50.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
58.8%1x
58.8%1y
60.5%2(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
60.9%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
58.8%1(*.f64 y #s(literal 2 binary64))
Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes33.0ms (0.3%)

Counts
70 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) y)))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 x #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y 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 y x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 y x)) (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x x) (*.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 y #s(literal 1/2 binary64))) x)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) x) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) y) (*.f64 #s(literal 2 binary64) y)) x) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 y (*.f64 y y))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))
(*.f64 (*.f64 y (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/24 binary64)) (*.f64 x x)) (*.f64 y y))) (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/6 binary64))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) (*.f64 y y))) (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 x (*.f64 y y)) #s(literal 1/6 binary64)))) (neg.f64 y)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (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 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (tan.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))))
(/.f64 (tan.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 y x)) (/.f64 x #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 x (/.f64 #s(literal 2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) x) x)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 x (*.f64 y x)) (/.f64 x #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) x) (*.f64 x x))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y #s(literal 2 binary64))) x)))
(/.f64 (tan.f64 (/.f64 (*.f64 x x) (*.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 y #s(literal 2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 x (*.f64 x x))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (*.f64 x x)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) x))))
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x y))) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y (*.f64 x x))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 y #s(literal -2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y #s(literal -2 binary64)) (+.f64 (*.f64 x x) #s(literal 0 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (*.f64 x x))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))))
(*.f64 (*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)))) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 x x)) (/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))))
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (*.f64 x (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x y)) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) x))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) (/.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) (*.f64 x (*.f64 y #s(literal -2 binary64)))))))
Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))))
#s(literal 1 binary64)
Calls

1 calls:

29.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
60.9%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes4.0ms (0%)

Accuracy

Total -23.3b remaining (-88.6%)

Threshold costs -23.3b (-88.6%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) y)))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 x #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y 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 y x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
Outputs
#s(literal 1 binary64)
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
58.8%1y
Compiler

Compiled 3 to 2 computations (33.3% saved)

bsearch20.0ms (0.2%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.601789602267258e+24
8.663714299213316e+24
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.601789602267258e+24
8.663714299213316e+24
Compiler

Compiled 16 to 12 computations (25% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02239
12639
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5999999999999999899336704 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5999999999999999899336704 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5999999999999999899336704 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5999999999999999899336704 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.1s (9.4%)

Rules
4418×/-lowering-/.f32
4418×/-lowering-/.f64
4406×/-lowering-/.f32
4406×/-lowering-/.f64
3912×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047238
1242221
21819218
08295218
03161937
110451915
240911901
085621901
047251
1252185
21750184
08428184
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 108 to 78 computations (27.8% saved)

preprocess61.0ms (0.5%)

Compiler

Compiled 264 to 160 computations (39.4% saved)

end0.0ms (0%)

Profiling

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