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

Time bar (total: 11.1s)

analyze281.0ms (2.5%)

Algorithm
1×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: 109.0ms
ival-tan: 32.0ms (29.4% of total)
ival-div: 29.0ms (26.7% of total)
ival-mult: 28.0ms (25.7% of total)
ival-sin: 16.0ms (14.7% of total)
const: 3.0ms (2.8% of total)
backward-pass: 1.0ms (0.9% of total)

sample1.7s (15.4%)

Results
1.0s3993×1valid
412.0ms4263×0valid
Precisions
Click to see histograms. Total time spent on operations: 975.0ms
ival-sin: 266.0ms (27.3% of total)
ival-tan: 265.0ms (27.2% of total)
ival-div: 209.0ms (21.4% of total)
ival-mult: 140.0ms (14.4% of total)
backward-pass: 79.0ms (8.1% of total)
const: 17.0ms (1.7% of total)
Bogosity

preprocess38.0ms (0.3%)

Algorithm
2×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
1×iter limit
1×saturated
1×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)

explain190.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1260-42(1.691975072963255e+171 1.4629566345146816e-255)(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
1250-41(1.691975072963255e+171 1.4629566345146816e-255)(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
270-0-(/.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
83.0ms248×1valid
30.0ms264×0valid
Compiler

Compiled 93 to 26 computations (72% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-tan: 14.0ms (26.3% of total)
ival-sin: 14.0ms (26.3% of total)
ival-div: 12.0ms (22.5% of total)
ival-mult: 7.0ms (13.1% of total)
backward-pass: 6.0ms (11.3% of total)
const: 1.0ms (1.9% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 8 computations (46.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶45.5%
(/.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
1×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
4×*-lowering-*.f32
4×*-lowering-*.f64
4×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
11136
21336
01336
Stop Event
1×iter limit
1×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))))

localize329.0ms (3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y #s(literal 2 binary64))
✓accuracy89.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy56.6%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy55.7%
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Results
299.0ms124×1valid
18.0ms132×0valid
Compiler

Compiled 39 to 9 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-tan: 11.0ms (34.6% of total)
ival-div: 8.0ms (25.2% of total)
ival-sin: 7.0ms (22% of total)
ival-mult: 3.0ms (9.4% of total)
backward-pass: 3.0ms (9.4% of total)
const: 1.0ms (3.1% of total)

series20.0ms (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
5.0ms
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))))

rewrite191.0ms (1.7%)

Algorithm
1×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
0870427
Stop Event
1×iter limit
1×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 x (/.f64 y #s(literal 1/2 binary64))))))
(+.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 x (/.f64 y #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
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(*.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 x (/.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #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 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
(sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(neg.f64 (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))
(/.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 #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 x (/.f64 y #s(literal 1/2 binary64)))) #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 x (/.f64 y #s(literal 1/2 binary64)))) #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 x (/.f64 y #s(literal 1/2 binary64)))) #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 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 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)))
(/.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 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 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)))
(/.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 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 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 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 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 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)))))
(*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))

simplify265.0ms (2.4%)

Algorithm
1×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
110451825
240931805
085651805
Stop Event
1×iter limit
1×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 (*.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 #s(literal 5/384 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))))
(+ 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)
(- (+ 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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(/.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 (*.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 x x)) #s(literal 1/16 binary64)) (*.f64 y y)) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal -1/8 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 #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 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 x (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 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 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)) (*.f64 y y)) (+.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 x) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.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 x x) (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/768 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal -1/8 binary64)))) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.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 (*.f64 x #s(literal -1/2 binary64)) (/.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 x #s(literal -1/2 binary64)) (/.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 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) y))

eval95.0ms (0.9%)

Compiler

Compiled 13691 to 1752 computations (87.2% saved)

prune172.0ms (1.5%)

Pruning

55 alts after pruning (55 fresh and 0 done)

PrunedKeptTotal
New58355638
Fresh000
Picked101
Done000
Total58455639
Accuracy
61.1%
Counts
639 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.7%
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶55.5%
(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))
44.3%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.3%
(/.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)))))
7.3%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.8%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
28.9%
(/.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.6%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.1%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
▶44.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.3%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
29.1%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.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)))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
6.5%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #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))))
6.8%
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
28.8%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.5%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.2%
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.7%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
27.0%
(/.f64 (tan.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)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
22.8%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2 binary64)))) (*.f64 (*.f64 y #s(literal -2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
22.7%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
18.6%
(/.f64 (tan.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)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
26.2%
(/.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)))))
45.0%
(/.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)))))
18.7%
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal 0 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.5%
(/.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))))
33.1%
(/.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))
40.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
44.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
40.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))))
17.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.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)))))))))
26.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 x (*.f64 y #s(literal -2 binary64))))))
22.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
18.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.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))))))
26.1%
(/.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 x))) x)))
24.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))))
25.0%
(/.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))))))
▶41.8%
(/.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)))))))
44.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x #s(literal 2 binary64))))))
44.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
45.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.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))))
45.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
40.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
41.8%
(/.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)))))
44.0%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.9%
(/.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)))))
44.8%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
39.8%
(/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.3%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)))
▶56.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
47.0%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
6.3%
(*.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 x (/.f64 y #s(literal 1/2 binary64)))))
44.2%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
44.2%
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
▶55.7%
#s(literal 1 binary64)
Compiler

Compiled 2448 to 1616 computations (34% saved)

simplify28.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.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)))))))
✓cost-diff64
(neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))
✓cost-diff128
(*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))
✓cost-diff12800
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))))
✓cost-diff0
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
✓cost-diff0
(cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
✓cost-diff0
(*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
✓cost-diff0
(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))
✓cost-diff0
(tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
✓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
110×*-lowering-*.f32
110×*-lowering-*.f64
70×/-lowering-/.f32
70×/-lowering-/.f64
36×times-frac
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031186
158181
297181
3145181
4198180
5233180
6267180
7270180
0270180
Stop Event
1×iter limit
1×saturated
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
(/ (/ 1 (/ 1 (tan (/ x (/ y 1/2))))) (sin (/ x (* y 2))))
(/ 1 (/ 1 (tan (/ x (/ y 1/2)))))
1
(/ 1 (tan (/ x (/ y 1/2))))
(tan (/ x (/ y 1/2)))
(/ x (/ y 1/2))
x
(/ y 1/2)
y
1/2
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
2
(pow (* (cos (/ x (/ y 1/2))) (cos (/ x (/ y 1/2)))) -1/2)
(* (cos (/ x (/ y 1/2))) (cos (/ x (/ y 1/2))))
(cos (/ x (/ y 1/2)))
(/ x (/ y 1/2))
x
(/ y 1/2)
y
1/2
-1/2
(/ (tan (/ x (* y 2))) (sin (/ x (exp (neg (* (log (/ y 1/2)) -1))))))
(tan (/ x (* y 2)))
(/ x (* y 2))
x
(* y 2)
y
2
(sin (/ x (exp (neg (* (log (/ y 1/2)) -1)))))
(/ x (exp (neg (* (log (/ y 1/2)) -1))))
(exp (neg (* (log (/ y 1/2)) -1)))
(neg (* (log (/ y 1/2)) -1))
(* (log (/ y 1/2)) -1)
(log (/ y 1/2))
(/ y 1/2)
1/2
-1
Outputs
(/ 1 (cos (/ (* x 1/2) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(cos (/ (* x 1/2) y))
(cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(/ (* x 1/2) y)
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
(* x 1/2)
(/.f64 x #s(literal 2 binary64))
x
1/2
#s(literal 1/2 binary64)
y
1
#s(literal 1 binary64)
(/ (/ 1 (/ 1 (tan (/ x (/ y 1/2))))) (sin (/ x (* y 2))))
(/.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/ 1 (/ 1 (tan (/ x (/ y 1/2)))))
(tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(/ 1 (tan (/ x (/ y 1/2))))
(/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(tan (/ x (/ y 1/2)))
(tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(/ x (/ y 1/2))
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
x
(/ y 1/2)
(/.f64 y #s(literal 1/2 binary64))
y
1/2
#s(literal 1/2 binary64)
(sin (/ x (* y 2)))
(sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(/ x (* y 2))
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
(* y 2)
(/.f64 y #s(literal 1/2 binary64))
2
#s(literal 2 binary64)
(pow (* (cos (/ x (/ y 1/2))) (cos (/ x (/ y 1/2)))) -1/2)
(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))
(* (cos (/ x (/ y 1/2))) (cos (/ x (/ y 1/2))))
(*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(cos (/ x (/ y 1/2)))
(cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(/ x (/ y 1/2))
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
x
(/ 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)
(/ (tan (/ x (* y 2))) (sin (/ x (exp (neg (* (log (/ y 1/2)) -1))))))
(/.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(tan (/ x (* y 2)))
(tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(/ x (* y 2))
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
x
(* y 2)
(/.f64 y #s(literal 1/2 binary64))
y
2
#s(literal 2 binary64)
(sin (/ x (exp (neg (* (log (/ y 1/2)) -1)))))
(sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(/ x (exp (neg (* (log (/ y 1/2)) -1))))
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
(exp (neg (* (log (/ y 1/2)) -1)))
(/.f64 y #s(literal 1/2 binary64))
(neg (* (log (/ y 1/2)) -1))
(log.f64 (/.f64 y #s(literal 1/2 binary64)))
(* (log (/ y 1/2)) -1)
(log.f64 (/.f64 #s(literal 1/2 binary64) y))
(log (/ y 1/2))
(log.f64 (/.f64 y #s(literal 1/2 binary64)))
(/ y 1/2)
(/.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
-1
#s(literal -1 binary64)

localize390.0ms (3.5%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy91.0%
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))))
✓accuracy89.6%
(/.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)))))))
✓accuracy56.6%
(sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))))))
✓accuracy55.7%
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy100.0%
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
✓accuracy99.9%
(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))
✓accuracy99.6%
(*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
✓accuracy56.3%
(cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
✓accuracy89.6%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy56.6%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy55.7%
(tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
✓accuracy100.0%
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
✓accuracy56.3%
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
Results
232.0ms124×1valid
72.0ms132×0valid
Compiler

Compiled 230 to 32 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 180.0ms
ival-div: 43.0ms (23.8% of total)
ival-cos: 34.0ms (18.8% of total)
ival-tan: 33.0ms (18.3% of total)
ival-mult: 14.0ms (7.8% of total)
ival-sin: 13.0ms (7.2% of total)
backward-pass: 12.0ms (6.6% of total)
ival-exp: 9.0ms (5% of total)
ival-log: 9.0ms (5% of total)
ival-pow: 9.0ms (5% of total)
ival-neg: 2.0ms (1.1% of total)
const: 1.0ms (0.6% of total)

series103.0ms (0.9%)

Counts
19 → 408
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 (/ 1 (tan (/ x (/ y 1/2)))))>
#<alt (/ (/ 1 (/ 1 (tan (/ x (/ y 1/2))))) (sin (/ x (* y 2))))>
#<alt (/ 1 (tan (/ x (/ y 1/2))))>
#<alt (tan (/ x (/ y 1/2)))>
#<alt (pow (* (cos (/ x (/ y 1/2))) (cos (/ x (/ y 1/2)))) -1/2)>
#<alt (* (cos (/ x (/ y 1/2))) (cos (/ x (/ y 1/2))))>
#<alt (cos (/ x (/ y 1/2)))>
#<alt (/ x (/ y 1/2))>
#<alt (exp (neg (* (log (/ y 1/2)) -1)))>
#<alt (* (log (/ y 1/2)) -1)>
#<alt (neg (* (log (/ y 1/2)) -1))>
#<alt (/ (tan (/ x (* y 2))) (sin (/ x (exp (neg (* (log (/ y 1/2)) -1))))))>
#<alt (sin (/ x (* y 2)))>
#<alt (tan (/ x (* y 2)))>
#<alt (sin (/ x (exp (neg (* (log (/ y 1/2)) -1)))))>
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))>
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#<alt (sin (/ x (exp (neg (* -1 (log (* 2 y)))))))>
#<alt (sin (/ x (exp (neg (* -1 (+ (log 2) (log y)))))))>
#<alt (sin (/ x (exp (neg (* -1 (+ (log 2) (log y)))))))>
#<alt (sin (/ x (exp (neg (* -1 (+ (log 2) (log y)))))))>
#<alt (sin (/ x (exp (neg (* -1 (+ (log 2) (log y)))))))>
#<alt (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))>
#<alt (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))>
#<alt (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))>
#<alt (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))>
#<alt (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))>
#<alt (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))>
#<alt (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))>
#<alt (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))>
Calls

102 calls:

TimeVariablePointExpression
37.0ms
y
@0
(exp (neg (* (log (/ y 1/2)) -1)))
16.0ms
y
@-inf
(exp (neg (* (log (/ y 1/2)) -1)))
6.0ms
y
@inf
(exp (neg (* (log (/ y 1/2)) -1)))
5.0ms
y
@-inf
(/ 1 (tan (/ x (/ y 1/2))))
3.0ms
y
@0
(/ (tan (/ x (* y 2))) (sin (/ x (exp (neg (* (log (/ y 1/2)) -1))))))

rewrite293.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
2552×/-lowering-/.f32
2552×/-lowering-/.f64
2504×*-lowering-*.f32
2504×*-lowering-*.f64
1408×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031116
1155108
2844108
37404108
08014108
Stop Event
1×iter limit
1×node limit
Counts
19 → 887
Calls
Call 1
Inputs
(/ 1 (cos (/ (* x 1/2) y)))
(cos (/ (* x 1/2) y))
(/ (* x 1/2) y)
(* x 1/2)
(/ 1 (/ 1 (tan (/ x (/ y 1/2)))))
(/ (/ 1 (/ 1 (tan (/ x (/ y 1/2))))) (sin (/ x (* y 2))))
(/ 1 (tan (/ x (/ y 1/2))))
(tan (/ x (/ y 1/2)))
(pow (* (cos (/ x (/ y 1/2))) (cos (/ x (/ y 1/2)))) -1/2)
(* (cos (/ x (/ y 1/2))) (cos (/ x (/ y 1/2))))
(cos (/ x (/ y 1/2)))
(/ x (/ y 1/2))
(exp (neg (* (log (/ y 1/2)) -1)))
(* (log (/ y 1/2)) -1)
(neg (* (log (/ y 1/2)) -1))
(/ (tan (/ x (* y 2))) (sin (/ x (exp (neg (* (log (/ y 1/2)) -1))))))
(sin (/ x (* y 2)))
(tan (/ x (* y 2)))
(sin (/ x (exp (neg (* (log (/ y 1/2)) -1)))))
Outputs
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 4 binary64))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -1/4 binary64)))))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (log.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -1/4 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 #s(literal -1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64)))
(/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)))
(/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (*.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (*.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (neg.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 #s(literal -1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64)) (*.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (*.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (pow.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (*.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(pow.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 4 binary64)) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64))
(*.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64)))
(*.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))))
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(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))

simplify412.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
4972×*-lowering-*.f32
4972×*-lowering-*.f64
4192×+-lowering-+.f64
4192×+-lowering-+.f32
1564×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07067919
123457108
081127108
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
1
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1
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(* -1 (/ (- (+ (* -1/2 (/ x (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))))) (+ (* -1/3840 (/ (pow x 5) (* (pow y 4) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (+ (* 1/645120 (/ (pow x 7) (* (pow y 6) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (* 1/48 (/ (pow x 3) (* (pow y 2) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))))))))) (+ (* -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) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (* (pow y 4) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (+ (* -1/768 (/ (pow x 5) (* (pow y 4) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (+ (* 1/92160 (/ (pow x 7) (* (pow y 6) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (* (pow y 6) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (* 1/16 (/ (pow x 3) (* (pow y 2) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))))))))) y))
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Outputs
1
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(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.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)) (* -1/16 (/ (pow x 3) (pow y 2)))) 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 x (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y y)))) 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)
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.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 x #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) (*.f64 y y)) (+.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 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))))))) 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)
(/.f64 (-.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 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 x x) (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/768 binary64))) (*.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 6 binary64)))))) (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) (*.f64 y y)) (+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/92160 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.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 4 binary64)) #s(literal 1/384 binary64)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 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)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) #s(literal -1/24 binary64))) (neg.f64 y))
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))
(/.f64 (+.f64 (+.f64 (*.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 x (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 y y)) (+.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 (*.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 x (*.f64 (*.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 x (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 y 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)))) (*.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal -1/8 binary64)))) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/768 binary64)))) (pow.f64 y #s(literal 6 binary64))) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) (pow.f64 y #s(literal 4 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)) (*.f64 #s(literal 1/384 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) (pow.f64 y #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 x (*.f64 (*.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))))))) (neg.f64 y))
(/ x (exp (neg (* -1 (log (* 2 y))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))
(* x (+ (* -1/6 (/ (pow x 2) (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (/ 1 (exp (neg (* -1 (log (* 2 y))))))))
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))))
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow (exp (neg (* -1 (log (* 2 y))))) 5))) (* 1/6 (/ 1 (pow (exp (neg (* -1 (log (* 2 y))))) 3))))) (/ 1 (exp (neg (* -1 (log (* 2 y))))))))
(*.f64 x (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) #s(literal 5 binary64))) (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) #s(literal 3 binary64))))))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow (exp (neg (* -1 (log (* 2 y))))) 7))) (* 1/120 (/ 1 (pow (exp (neg (* -1 (log (* 2 y))))) 5))))) (* 1/6 (/ 1 (pow (exp (neg (* -1 (log (* 2 y))))) 3))))) (/ 1 (exp (neg (* -1 (log (* 2 y))))))))
(*.f64 x (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) #s(literal 7 binary64))) (/.f64 #s(literal 1/120 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) #s(literal 5 binary64))))) (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) #s(literal 3 binary64)))))))))
(sin (/ x (exp (neg (* -1 (log (* 2 y)))))))
(sin.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
(sin (/ x (exp (neg (* -1 (log (* 2 y)))))))
(sin.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
(sin (/ x (exp (neg (* -1 (log (* 2 y)))))))
(sin.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
(sin (/ x (exp (neg (* -1 (log (* 2 y)))))))
(sin.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
(sin (/ x (exp (neg (* -1 (log (* 2 y)))))))
(sin.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
(sin (/ x (exp (neg (* -1 (log (* 2 y)))))))
(sin.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
(sin (/ x (exp (neg (* -1 (log (* 2 y)))))))
(sin.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
(sin (/ x (exp (neg (* -1 (log (* 2 y)))))))
(sin.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)))))
(sin (/ x (exp (neg (* -1 (+ (log 2) (log y)))))))
(sin.f64 (/.f64 x (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 y)))))
(sin (/ x (exp (neg (* -1 (+ (log 2) (log y)))))))
(sin.f64 (/.f64 x (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 y)))))
(sin (/ x (exp (neg (* -1 (+ (log 2) (log y)))))))
(sin.f64 (/.f64 x (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 y)))))
(sin (/ x (exp (neg (* -1 (+ (log 2) (log y)))))))
(sin.f64 (/.f64 x (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 y)))))
(sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))
(sin.f64 (/.f64 x (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 y)))))
(sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))
(sin.f64 (/.f64 x (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 y)))))
(sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))
(sin.f64 (/.f64 x (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 y)))))
(sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))
(sin.f64 (/.f64 x (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 y)))))
(sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))
(sin.f64 (/.f64 x (exp.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))))
(sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))
(sin.f64 (/.f64 x (exp.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))))
(sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))
(sin.f64 (/.f64 x (exp.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))))
(sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))
(sin.f64 (/.f64 x (exp.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))))

eval169.0ms (1.5%)

Compiler

Compiled 31869 to 3197 computations (90% saved)

prune222.0ms (2%)

Pruning

71 alts after pruning (68 fresh and 3 done)

PrunedKeptTotal
New1487211508
Fresh34750
Picked235
Done000
Total1492711563
Accuracy
61.5%
Counts
1563 → 71
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.5%
(pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
53.7%
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
55.0%
(pow.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1/2 binary64))
52.2%
(pow.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64))
44.3%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.3%
(/.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)))))
7.3%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.8%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
28.9%
(/.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.6%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
37.7%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))))))
44.1%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
44.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓44.3%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.3%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
55.5%
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) y)
6.5%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #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))))
▶6.8%
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
28.8%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.5%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.2%
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
27.0%
(/.f64 (tan.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)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
22.8%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2 binary64)))) (*.f64 (*.f64 y #s(literal -2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
22.7%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
18.6%
(/.f64 (tan.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)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
26.2%
(/.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)))))
45.0%
(/.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)))))
18.7%
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal 0 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.5%
(/.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))))
40.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
44.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
40.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))))
17.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.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)))))))))
26.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 x (*.f64 y #s(literal -2 binary64))))))
22.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
18.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.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))))))
▶26.1%
(/.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 x))) x)))
24.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))))
41.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 y #s(literal 1/2 binary64)))))))
41.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) y))))))
25.0%
(/.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))))))
41.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/2 binary64)))))))
44.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))))))
41.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))))))
40.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 y)))))))))
41.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (/.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))) (log.f64 (/.f64 y #s(literal 1/2 binary64)))) (log.f64 (*.f64 y #s(literal 1/2 binary64))))))))
40.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 y #s(literal 1/2 binary64))))) (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))))
41.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))))))))
41.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64)))))))
44.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x #s(literal 2 binary64))))))
44.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
45.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.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))))
45.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
40.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
41.8%
(/.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)))))
44.0%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.9%
(/.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)))))
44.8%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
39.8%
(/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.6%
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 y)))))))
45.3%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)))
47.5%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))))
56.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) y)))
▶56.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
✓56.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
56.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
▶47.0%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
6.3%
(*.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 x (/.f64 y #s(literal 1/2 binary64)))))
44.2%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
▶44.2%
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
✓55.7%
#s(literal 1 binary64)
Compiler

Compiled 3060 to 2039 computations (33.4% saved)

simplify204.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))
✓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-diff6400
(sin.f64 #s(literal 0 binary64))
✓cost-diff6912
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 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-diff13568
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 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 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)))
✓cost-diff128
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
✓cost-diff256
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))
Rules
3374×*-lowering-*.f32
3374×*-lowering-*.f64
1656×times-frac
1544×/-lowering-/.f32
1544×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049296
1112287
2250269
3614257
41773257
56504257
08052257
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (cos (/ (/ 1 y) (/ 2 x))))
1
(cos (/ (/ 1 y) (/ 2 x)))
(/ (/ 1 y) (/ 2 x))
(/ 1 y)
y
(/ 2 x)
2
x
(+ 1 (/ (* 1/8 (* x x)) (* y y)))
1
(/ (* 1/8 (* x x)) (* y y))
(* 1/8 (* x x))
1/8
(* x x)
x
(* y y)
y
(/ (tan (/ x (* y 2))) (sin (/ (* (/ -1/2 y) (- 0 (* x x))) x)))
(tan (/ x (* y 2)))
(/ x (* y 2))
x
(* y 2)
y
2
(sin (/ (* (/ -1/2 y) (- 0 (* x x))) x))
(/ (* (/ -1/2 y) (- 0 (* x x))) x)
(* (/ -1/2 y) (- 0 (* x x)))
(/ -1/2 y)
-1/2
(- 0 (* x x))
0
(* x x)
(* (sin (/ x (* y -2))) (/ (/ 1 (sin (/ x (* y -2)))) (cos (/ x (/ y 1/2)))))
(sin (/ x (* y -2)))
(/ x (* y -2))
x
(* y -2)
y
-2
(/ (/ 1 (sin (/ x (* y -2)))) (cos (/ x (/ y 1/2))))
(/ 1 (sin (/ x (* y -2))))
1
(cos (/ x (/ y 1/2)))
(/ x (/ y 1/2))
(/ y 1/2)
1/2
(/ (- 0 (- 1/2 (* 1/2 (cos (/ x y))))) (* (/ (+ (sin 0) (sin (/ x y))) -2) (sin (/ x (/ y 1/2)))))
(- 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)
x
y
(* (/ (+ (sin 0) (sin (/ x y))) -2) (sin (/ x (/ y 1/2))))
(/ (+ (sin 0) (sin (/ x y))) -2)
(+ (sin 0) (sin (/ x y)))
(sin 0)
(sin (/ x y))
-2
(sin (/ x (/ y 1/2)))
(/ x (/ y 1/2))
(/ y 1/2)
Outputs
(/ 1 (cos (/ (/ 1 y) (/ 2 x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(cos (/ (/ 1 y) (/ 2 x)))
(cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(/ (/ 1 y) (/ 2 x))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
y
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(+ 1 (/ (* 1/8 (* x x)) (* y y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/8 binary64))) (*.f64 y y)))
1
#s(literal 1 binary64)
(/ (* 1/8 (* x x)) (* y y))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/8 binary64))) (*.f64 y y))
(* 1/8 (* x x))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
1/8
#s(literal 1/8 binary64)
(* x x)
(*.f64 x x)
x
(* y y)
(*.f64 y y)
y
(/ (tan (/ x (* y 2))) (sin (/ (* (/ -1/2 y) (- 0 (* x x))) x)))
(/.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 (/ (* (/ -1/2 y) (- 0 (* x x))) x))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ (* (/ -1/2 y) (- 0 (* x x))) x)
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(* (/ -1/2 y) (- 0 (* x x)))
(/.f64 (/.f64 (*.f64 x x) y) #s(literal 2 binary64))
(/ -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 (sin (/ x (* y -2)))) (cos (/ x (/ y 1/2)))))
(/.f64 #s(literal 1 binary64) (cos.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))
x
(* y -2)
(*.f64 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)
(/ (/ 1 (sin (/ x (* y -2)))) (cos (/ x (/ y 1/2))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
(/ 1 (sin (/ x (* y -2))))
(/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(cos (/ x (/ y 1/2)))
(cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(/ x (/ y 1/2))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/ y 1/2)
(/.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ (- 0 (- 1/2 (* 1/2 (cos (/ x y))))) (* (/ (+ (sin 0) (sin (/ x y))) -2) (sin (/ x (/ y 1/2)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(- 0 (- 1/2 (* 1/2 (cos (/ x y)))))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))
0
#s(literal 0 binary64)
(- 1/2 (* 1/2 (cos (/ x y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))))
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 0) (sin (/ x y))) -2) (sin (/ x (/ y 1/2))))
(/.f64 (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -2 binary64))
(/ (+ (sin 0) (sin (/ x y))) -2)
(/.f64 (sin.f64 (/.f64 x y)) #s(literal -2 binary64))
(+ (sin 0) (sin (/ x y)))
(sin.f64 (/.f64 x y))
(sin 0)
#s(literal 0 binary64)
(sin (/ x y))
(sin.f64 (/.f64 x y))
-2
#s(literal -2 binary64)
(sin (/ x (/ y 1/2)))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ x (/ y 1/2))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/ y 1/2)
(/.f64 y #s(literal 1/2 binary64))

localize729.0ms (6.6%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy73.7%
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
✓accuracy56.6%
(sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
✓accuracy56.4%
(cos.f64 (/.f64 x y))
✓accuracy56.0%
(sin.f64 (/.f64 x y))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
✓accuracy88.2%
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
✓accuracy56.5%
(sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
✓accuracy56.3%
(cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
✓accuracy89.6%
(/.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 x))) x)))
✓accuracy77.2%
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)
✓accuracy56.6%
(sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x))
✓accuracy55.7%
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.7%
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓accuracy78.4%
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
✓accuracy99.2%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))
✓accuracy56.3%
(cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))
Results
506.0ms219×1valid
109.0ms32×2valid
4.0ms5×0valid
Compiler

Compiled 347 to 50 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 323.0ms
ival-div: 88.0ms (27.2% of total)
ival-mult: 65.0ms (20.1% of total)
ival-cos: 65.0ms (20.1% of total)
backward-pass: 40.0ms (12.4% of total)
ival-sin: 38.0ms (11.8% of total)
ival-sub: 9.0ms (2.8% of total)
ival-tan: 8.0ms (2.5% of total)
ival-add: 8.0ms (2.5% of total)
const: 3.0ms (0.9% of total)

series69.0ms (0.6%)

Counts
27 → 564
Calls
Call 1
Inputs
#<alt (/ (/ 1 y) (/ 2 x))>
#<alt (/ 1 (cos (/ (/ 1 y) (/ 2 x))))>
#<alt (cos (/ (/ 1 y) (/ 2 x)))>
#<alt (/ 1 y)>
#<alt (+ 1 (/ (* 1/8 (* x x)) (* y y)))>
#<alt (/ (* 1/8 (* x x)) (* y y))>
#<alt (* 1/8 (* x x))>
#<alt (* x x)>
#<alt (/ (* (/ -1/2 y) (- 0 (* x x))) x)>
#<alt (* (/ -1/2 y) (- 0 (* x x)))>
#<alt (/ (tan (/ x (* y 2))) (sin (/ (* (/ -1/2 y) (- 0 (* x x))) x)))>
#<alt (tan (/ x (* y 2)))>
#<alt (* (sin (/ x (* y -2))) (/ (/ 1 (sin (/ x (* y -2)))) (cos (/ x (/ y 1/2)))))>
#<alt (sin (/ x (* y -2)))>
#<alt (/ x (* y -2))>
#<alt (* y -2)>
#<alt (/ (- 0 (- 1/2 (* 1/2 (cos (/ x y))))) (* (/ (+ (sin 0) (sin (/ x y))) -2) (sin (/ x (/ y 1/2)))))>
#<alt (sin 0)>
#<alt (- 0 (- 1/2 (* 1/2 (cos (/ x y)))))>
#<alt (+ (sin 0) (sin (/ x y)))>
#<alt (* y y)>
#<alt (sin (/ (* (/ -1/2 y) (- 0 (* x x))) x))>
#<alt (cos (/ x (/ y 1/2)))>
#<alt (/ 1 (sin (/ x (* y -2))))>
#<alt (sin (/ x y))>
#<alt (cos (/ x y))>
#<alt (sin (/ x (/ y 1/2)))>
Outputs
#<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 (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 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<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 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (* 1/8 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<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 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) y))>
#<alt (* 1/2 (/ (pow x 2) 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 (* -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 (* -1/8 (/ (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 (* -2 (/ y x))>
#<alt (/ (+ (* -2 y) (* -1/12 (/ (pow x 2) y))) x)>
#<alt (/ (+ (* -2 y) (* (pow x 2) (- (* -7/2880 (/ (pow x 2) (pow y 3))) (* 1/12 (/ 1 y))))) x)>
#<alt (/ (+ (* -2 y) (* (pow x 2) (- (* (pow x 2) (- (* -31/483840 (/ (pow x 2) (pow y 5))) (* 7/2880 (/ 1 (pow y 3))))) (* 1/12 (/ 1 y))))) x)>
#<alt (/ 1 (sin (* -1/2 (/ x y))))>
#<alt (/ 1 (sin (* -1/2 (/ x y))))>
#<alt (/ 1 (sin (* -1/2 (/ x y))))>
#<alt (/ 1 (sin (* -1/2 (/ x y))))>
#<alt (/ 1 (sin (* -1/2 (/ x y))))>
#<alt (/ 1 (sin (* -1/2 (/ x y))))>
#<alt (/ 1 (sin (* -1/2 (/ x y))))>
#<alt (/ 1 (sin (* -1/2 (/ x y))))>
#<alt (/ 1 (sin (* -1/2 (/ x y))))>
#<alt (/ 1 (sin (* -1/2 (/ x y))))>
#<alt (/ 1 (sin (* -1/2 (/ x y))))>
#<alt (/ 1 (sin (* -1/2 (/ x y))))>
#<alt (* -2 (/ y x))>
#<alt (* y (- (* -1/12 (/ x (pow y 2))) (* 2 (/ 1 x))))>
#<alt (* y (- (* -1 (/ (+ (* -1/960 (pow x 3)) (* 1/288 (pow x 3))) (pow y 4))) (+ (* 1/12 (/ x (pow y 2))) (* 2 (/ 1 x)))))>
#<alt (* y (- (* -1 (/ (+ (* -1/23040 (pow x 5)) (+ (* 1/161280 (pow x 5)) (* 1/24 (* (pow x 2) (+ (* -1/960 (pow x 3)) (* 1/288 (pow x 3))))))) (pow y 6))) (+ (* -1/960 (/ (pow x 3) (pow y 4))) (+ (* 1/288 (/ (pow x 3) (pow y 4))) (+ (* 1/12 (/ x (pow y 2))) (* 2 (/ 1 x)))))))>
#<alt (* -2 (/ y x))>
#<alt (* -1 (* y (+ (* 1/12 (/ x (pow y 2))) (* 2 (/ 1 x)))))>
#<alt (* -1 (* y (- (+ (* -1 (/ (+ (* -1/288 (pow x 3)) (* 1/960 (pow x 3))) (pow y 4))) (* 2 (/ 1 x))) (* -1/12 (/ x (pow y 2))))))>
#<alt (* -1 (* y (- (+ (* -1 (/ (+ (* -1/161280 (pow x 5)) (+ (* 1/23040 (pow x 5)) (* 1/24 (* (pow x 2) (+ (* -1/288 (pow x 3)) (* 1/960 (pow x 3))))))) (pow y 6))) (* 2 (/ 1 x))) (+ (* -1/12 (/ x (pow y 2))) (+ (* -1/288 (/ (pow x 3) (pow y 4))) (* 1/960 (/ (pow x 3) (pow y 4))))))))>
#<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>
#<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 (* 1/2 (/ 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

141 calls:

TimeVariablePointExpression
16.0ms
x
@inf
(/ (- 0 (- 1/2 (* 1/2 (cos (/ x y))))) (* (/ (+ (sin 0) (sin (/ x y))) -2) (sin (/ x (/ y 1/2)))))
4.0ms
y
@inf
(/ (- 0 (- 1/2 (* 1/2 (cos (/ x y))))) (* (/ (+ (sin 0) (sin (/ x y))) -2) (sin (/ x (/ y 1/2)))))
2.0ms
x
@0
(/ (- 0 (- 1/2 (* 1/2 (cos (/ x y))))) (* (/ (+ (sin 0) (sin (/ x y))) -2) (sin (/ x (/ y 1/2)))))
2.0ms
x
@-inf
(/ (- 0 (- 1/2 (* 1/2 (cos (/ x y))))) (* (/ (+ (sin 0) (sin (/ x y))) -2) (sin (/ x (/ y 1/2)))))
1.0ms
y
@0
(/ (- 0 (- 1/2 (* 1/2 (cos (/ x y))))) (* (/ (+ (sin 0) (sin (/ x y))) -2) (sin (/ x (/ y 1/2)))))

rewrite480.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
4750×*-lowering-*.f32
4750×*-lowering-*.f64
3158×/-lowering-/.f32
3158×/-lowering-/.f64
2314×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049187
1287175
22162171
08235171
Stop Event
1×iter limit
1×node limit
Counts
27 → 525
Calls
Call 1
Inputs
(/ (/ 1 y) (/ 2 x))
(/ 1 (cos (/ (/ 1 y) (/ 2 x))))
(cos (/ (/ 1 y) (/ 2 x)))
(/ 1 y)
(+ 1 (/ (* 1/8 (* x x)) (* y y)))
(/ (* 1/8 (* x x)) (* y y))
(* 1/8 (* x x))
(* x x)
(/ (* (/ -1/2 y) (- 0 (* x x))) x)
(* (/ -1/2 y) (- 0 (* x x)))
(/ (tan (/ x (* y 2))) (sin (/ (* (/ -1/2 y) (- 0 (* x x))) x)))
(tan (/ x (* y 2)))
(* (sin (/ x (* y -2))) (/ (/ 1 (sin (/ x (* y -2)))) (cos (/ x (/ y 1/2)))))
(sin (/ x (* y -2)))
(/ x (* y -2))
(* y -2)
(/ (- 0 (- 1/2 (* 1/2 (cos (/ x y))))) (* (/ (+ (sin 0) (sin (/ x y))) -2) (sin (/ x (/ y 1/2)))))
(sin 0)
(- 0 (- 1/2 (* 1/2 (cos (/ x y)))))
(+ (sin 0) (sin (/ x y)))
(* y y)
(sin (/ (* (/ -1/2 y) (- 0 (* x x))) x))
(cos (/ x (/ y 1/2)))
(/ 1 (sin (/ x (* y -2))))
(sin (/ x y))
(cos (/ x y))
(sin (/ x (/ y 1/2)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -2 binary64) x)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -2 binary64) x))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 y #s(literal 1/2 binary64)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y #s(literal 1/2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(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 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 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 (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 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))))))
(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))))))
(*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))))
(cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(cos.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))
(cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -2 binary64) x)))
(cos.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
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#s(literal 0 binary64)
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(+.f64 #s(literal 0 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) (cos.f64 (/.f64 x y))) #s(literal -1/2 binary64))
(+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.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)))))
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(fma.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)) #s(literal -1/2 binary64))
(fma.f64 (cos.f64 (/.f64 x y)) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.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)))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 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 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))))
(pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)))))
(*.f64 (pow.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 3 binary64)) (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 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))))))
(+.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y)))
(+.f64 (sin.f64 (/.f64 x y)) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x y))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))))
(+.f64 (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 #s(literal 0 binary64))) (*.f64 (cos.f64 (/.f64 x y)) #s(literal 0 binary64)))
(-.f64 (sin.f64 (/.f64 x y)) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 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))))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y)))))
(sin.f64 (/.f64 x y))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.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))
(fma.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 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y)))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(neg.f64 (sin.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y))))
(neg.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))) (-.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 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 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 #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 #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 (-.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))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) (-.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)))))))
(pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))) (-.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))))))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 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 #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 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y)))))
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(sin.f64 (/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 y x)))
(neg.f64 (sin.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x))))
(neg.f64 (sin.f64 (/.f64 (/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) y)) x)))
(+.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))))
(cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(cos.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))
(cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -2 binary64) x)))
(cos.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 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 (/.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) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y)))
(+.f64 (sin.f64 (/.f64 x y)) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x y))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))))
(+.f64 (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 #s(literal 0 binary64))) (*.f64 (cos.f64 (/.f64 x y)) #s(literal 0 binary64)))
(-.f64 (sin.f64 (/.f64 x y)) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 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))))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y)))))
(sin.f64 (/.f64 x y))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.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))
(fma.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 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y)))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(neg.f64 (sin.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y))))
(neg.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))) (-.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 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 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 #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 #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 (-.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))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) (-.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)))))))
(pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))) (-.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))))))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 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 #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 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y)))))
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (cos.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))
(-.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 x y))) #s(literal 0 binary64))
(-.f64 (*.f64 (cos.f64 (/.f64 x y)) (cos.f64 #s(literal 0 binary64))) #s(literal 0 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 1/2 binary64))))
(neg.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))))
(neg.f64 (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -2 binary64) x))))
(neg.f64 (sin.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))))

simplify541.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
4996×*-lowering-*.f32
4996×*-lowering-*.f64
3560×+-lowering-+.f64
3560×+-lowering-+.f32
1484×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06567026
121766319
279376231
085576231
Stop Event
1×iter limit
1×node limit
Counts
564 → 564
Calls
Call 1
Inputs
(* 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))
(/ 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
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1
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(- (* 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))) 1/2)
(* -1/4 (/ (pow x 2) (pow y 2)))
(/ (+ (* -1/4 (pow x 2)) (* 1/48 (/ (pow x 4) (pow y 2)))) (pow y 2))
(/ (+ (* -1/4 (pow x 2)) (+ (* -1/1440 (/ (pow x 6) (pow y 4))) (* 1/48 (/ (pow x 4) (pow y 2))))) (pow y 2))
(/ (+ (* -1/4 (pow x 2)) (+ (* -1/1440 (/ (pow x 6) (pow y 4))) (+ (* 1/80640 (/ (pow x 8) (pow y 6))) (* 1/48 (/ (pow x 4) (pow y 2)))))) (pow y 2))
(* -1/4 (/ (pow x 2) (pow y 2)))
(/ (+ (* -1/4 (pow x 2)) (* 1/48 (/ (pow x 4) (pow y 2)))) (pow y 2))
(/ (+ (* -1/4 (pow x 2)) (+ (* -1/1440 (/ (pow x 6) (pow y 4))) (* 1/48 (/ (pow x 4) (pow y 2))))) (pow y 2))
(/ (+ (* -1/4 (pow x 2)) (+ (* -1/1440 (/ (pow x 6) (pow y 4))) (+ (* 1/80640 (/ (pow x 8) (pow y 6))) (* 1/48 (/ (pow x 4) (pow y 2)))))) (pow y 2))
(/ x y)
(* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))
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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))
(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)
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(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
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(pow y 2)
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(sin (* 1/2 (/ x y)))
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(/ (+ (* -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)
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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))
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(* 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))))
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(sin (* 1/2 (/ x y)))
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1
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(* -2 (/ y x))
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(/ (+ (* -2 y) (* (pow x 2) (- (* (pow x 2) (- (* -31/483840 (/ (pow x 2) (pow y 5))) (* 7/2880 (/ 1 (pow y 3))))) (* 1/12 (/ 1 y))))) x)
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(sin (/ x y))
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(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
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(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)
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1
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(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
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1
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(* 1/2 (/ x y))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
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(* 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
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
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(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
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(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
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(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
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(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
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(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
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(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/ 1 (cos (* 1/2 (/ x y))))
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(/ 1 (cos (* 1/2 (/ x y))))
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(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
1
#s(literal 1 binary64)
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(+.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 (*.f64 x x) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64))) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
1
#s(literal 1 binary64)
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(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
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(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 x #s(literal 1/12 binary64)) (*.f64 y y))) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -7/2880 binary64))) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 y))
(* -1 (* y (- (+ (* -1 (/ (+ (* -1/161280 (pow x 5)) (+ (* 1/23040 (pow x 5)) (* 1/24 (* (pow x 2) (+ (* -1/288 (pow x 3)) (* 1/960 (pow x 3))))))) (pow y 6))) (* 2 (/ 1 x))) (+ (* -1/12 (/ x (pow y 2))) (+ (* -1/288 (/ (pow x 3) (pow y 4))) (* 1/960 (/ (pow x 3) (pow y 4))))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -7/2880 binary64)))) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/26880 binary64))) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (/.f64 (*.f64 x #s(literal -1/12 binary64)) (*.f64 y y)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -7/2880 binary64))) (pow.f64 y #s(literal 4 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 (*.f64 x x) #s(literal -1/6 binary64)) (*.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 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 5 binary64)))))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (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 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (*.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 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (*.f64 y y))) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 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 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 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 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.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 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 y y)) x) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 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 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 y y)) x) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/5040 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 #s(literal -1/2 binary64) (*.f64 y y)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/720 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal -1/2 binary64) (*.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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 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 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 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 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64)) (pow.f64 y #s(literal 6 binary64))))))
(* 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 #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 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/645120 binary64)) (pow.f64 y #s(literal 7 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 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.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 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x (*.f64 (*.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 (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 y y)) (+.f64 (*.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 x #s(literal -1/2 binary64)) (+.f64 (+.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 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 y))

eval175.0ms (1.6%)

Compiler

Compiled 28357 to 2686 computations (90.5% saved)

prune230.0ms (2.1%)

Pruning

81 alts after pruning (79 fresh and 2 done)

PrunedKeptTotal
New1197301227
Fresh144963
Picked415
Done213
Total1217811298
Accuracy
61.8%
Counts
1298 → 81
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.5%
(pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
53.7%
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
55.0%
(pow.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1/2 binary64))
52.2%
(pow.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64))
44.3%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.8%
(/.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 -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
6.8%
(/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 3 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
7.3%
(/.f64 (/.f64 (+.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 1/2 binary64))))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal -2 binary64)))
6.8%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
28.9%
(/.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.6%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
37.7%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))))))
23.5%
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)))
44.1%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
▶44.3%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
55.5%
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) y)
6.5%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #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))))
6.4%
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))) (-.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)))))))) #s(literal -2 binary64)) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
45.5%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.2%
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
27.0%
(/.f64 (tan.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)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
22.8%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2 binary64)))) (*.f64 (*.f64 y #s(literal -2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
22.7%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
18.6%
(/.f64 (tan.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)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
26.2%
(/.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)))))
45.0%
(/.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)))))
18.7%
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal 0 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
24.7%
(/.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 y x))))
40.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))))
26.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 x (*.f64 y #s(literal -2 binary64))))))
22.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
18.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.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))))))
23.7%
(/.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) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)))) x)))
23.8%
(/.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) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))) x)))
26.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) y)) x)))
41.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 y #s(literal 1/2 binary64)))))))
41.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) y))))))
25.0%
(/.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))))))
41.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/2 binary64)))))))
44.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))))))
41.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))))))
40.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 y)))))))))
41.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (/.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))) (log.f64 (/.f64 y #s(literal 1/2 binary64)))) (log.f64 (*.f64 y #s(literal 1/2 binary64))))))))
41.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64)))))))
44.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x #s(literal 2 binary64))))))
44.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
45.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.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))))
45.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
25.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1/2 binary64) y) x))))
24.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))))
40.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
41.8%
(/.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)))))
44.0%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶44.9%
(/.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)))))
44.8%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
39.8%
(/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.3%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal -2 binary64)))
6.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal -2 binary64)) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))))
24.7%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 y x))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
47.5%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
▶56.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x))))
56.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) y)))
✓56.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
55.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x))))
56.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
▶56.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y)))))
56.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
55.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
47.1%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
▶51.6%
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 x y)))
31.5%
(*.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 y y))) y) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
7.3%
(*.f64 (/.f64 (+.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 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
6.3%
(*.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 x (/.f64 y #s(literal 1/2 binary64)))))
44.2%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
44.0%
(*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))))
44.2%
(*.f64 (sin.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
4.7%
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))) #s(literal -1/2 binary64)) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
44.0%
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal -1/2 binary64)) x)))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
44.0%
(*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal -1/2 binary64)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
44.1%
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
✓55.7%
#s(literal 1 binary64)
Compiler

Compiled 3487 to 2392 computations (31.4% saved)

simplify144.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
✓cost-diff0
(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)))
✓cost-diff0
(/.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)))))
✓cost-diff13184
(*.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))
✓cost-diff0
(cos.f64 (/.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x))))
✓cost-diff128
(/.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x))
✓cost-diff12800
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓cost-diff0
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
✓cost-diff0
(sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
✓cost-diff256
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
✓cost-diff0
(*.f64 x #s(literal 1/8 binary64))
✓cost-diff0
(/.f64 (*.f64 x #s(literal 1/8 binary64)) y)
✓cost-diff0
(*.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 x y))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 x y)))
✓cost-diff0
(cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y)))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y))
✓cost-diff128
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y)))
Rules
2080×*-lowering-*.f32
2080×*-lowering-*.f64
1196×times-frac
1154×/-lowering-/.f32
1154×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040244
176221
2152209
3289202
4479202
5718202
62002202
75574202
87977202
08082202
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (cos (/ -1 (* (/ 2 x) (- 0 y)))))
1
(cos (/ -1 (* (/ 2 x) (- 0 y))))
(/ -1 (* (/ 2 x) (- 0 y)))
-1
(* (/ 2 x) (- 0 y))
(/ 2 x)
2
x
(- 0 y)
0
y
(+ 1 (* (/ (* x 1/8) y) (/ x y)))
1
(* (/ (* x 1/8) y) (/ x y))
(/ (* x 1/8) y)
(* x 1/8)
x
1/8
y
(/ x y)
(/ (/ 1 (sin (/ x (/ y 1/2)))) (/ 1 (tan (/ x (/ y 1/2)))))
(/ 1 (sin (/ x (/ y 1/2))))
1
(sin (/ x (/ y 1/2)))
(/ x (/ y 1/2))
x
(/ y 1/2)
y
1/2
(/ 1 (tan (/ x (/ y 1/2))))
(tan (/ x (/ y 1/2)))
(/ 1 (cos (/ (pow (pow y -1/2) 2) (/ 2 x))))
1
(cos (/ (pow (pow y -1/2) 2) (/ 2 x)))
(/ (pow (pow y -1/2) 2) (/ 2 x))
(pow (pow y -1/2) 2)
(pow y -1/2)
y
-1/2
2
(/ 2 x)
x
(/ (tan (* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x))) (sin (/ x (* y 2))))
(tan (* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x)))
(* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x))
(pow (/ y 1/2) -1/2)
(/ y 1/2)
y
1/2
-1/2
(* (pow (/ y 1/2) -1/2) x)
x
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
2
Outputs
(/ 1 (cos (/ -1 (* (/ 2 x) (- 0 y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(cos (/ -1 (* (/ 2 x) (- 0 y))))
(cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(/ -1 (* (/ 2 x) (- 0 y)))
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
-1
#s(literal -1 binary64)
(* (/ 2 x) (- 0 y))
(/.f64 (*.f64 y #s(literal -2 binary64)) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(- 0 y)
(-.f64 #s(literal 0 binary64) y)
0
#s(literal 0 binary64)
y
(+ 1 (* (/ (* x 1/8) y) (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 #s(literal -1/8 binary64) (/.f64 x y))) y))
1
#s(literal 1 binary64)
(* (/ (* x 1/8) y) (/ x y))
(/.f64 (*.f64 x #s(literal 1/8 binary64)) (*.f64 y (/.f64 y x)))
(/ (* x 1/8) y)
(/.f64 #s(literal 1/8 binary64) (/.f64 y x))
(* x 1/8)
(*.f64 x #s(literal 1/8 binary64))
x
1/8
#s(literal 1/8 binary64)
y
(/ x y)
(/.f64 x y)
(/ (/ 1 (sin (/ x (/ y 1/2)))) (/ 1 (tan (/ x (/ y 1/2)))))
(/.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/ 1 (sin (/ x (/ y 1/2))))
(/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(sin (/ x (/ y 1/2)))
(sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(/ x (/ y 1/2))
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
x
(/ y 1/2)
(/.f64 y #s(literal 1/2 binary64))
y
1/2
#s(literal 1/2 binary64)
(/ 1 (tan (/ x (/ y 1/2))))
(/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(tan (/ x (/ y 1/2)))
(tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(/ 1 (cos (/ (pow (pow y -1/2) 2) (/ 2 x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(cos (/ (pow (pow y -1/2) 2) (/ 2 x)))
(cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(/ (pow (pow y -1/2) 2) (/ 2 x))
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
(pow (pow y -1/2) 2)
(/.f64 #s(literal 1 binary64) y)
(pow y -1/2)
(pow.f64 y #s(literal -1/2 binary64))
y
-1/2
#s(literal -1/2 binary64)
2
#s(literal 2 binary64)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
x
(/ (tan (* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x))) (sin (/ x (* y 2))))
(/.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(tan (* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x)))
(tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x))
(/.f64 x (/.f64 y #s(literal 1/2 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)
(* (pow (/ y 1/2) -1/2) x)
(*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
x
(sin (/ x (* y 2)))
(sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(/ x (* y 2))
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
(* y 2)
(*.f64 #s(literal 2 binary64) y)
2
#s(literal 2 binary64)

localize415.0ms (3.7%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.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))
✓accuracy89.6%
(/.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)))))
✓accuracy56.6%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy55.7%
(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)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x))))
✓accuracy99.3%
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓accuracy99.2%
(/.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x))
✓accuracy56.3%
(cos.f64 (/.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
✓accuracy88.4%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
✓accuracy56.6%
(sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
✓accuracy55.7%
(tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 x y)))
✓accuracy100.0%
(*.f64 x #s(literal 1/8 binary64))
✓accuracy99.7%
(*.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 x y))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y)))))
✓accuracy99.5%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y)))
✓accuracy99.4%
(*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y))
✓accuracy56.3%
(cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y))))
Results
259.0ms124×1valid
91.0ms132×0valid
Compiler

Compiled 274 to 41 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 176.0ms
ival-div: 45.0ms (25.6% of total)
ival-pow: 45.0ms (25.6% of total)
ival-sin: 19.0ms (10.8% of total)
ival-mult: 16.0ms (9.1% of total)
ival-tan: 15.0ms (8.5% of total)
ival-cos: 15.0ms (8.5% of total)
backward-pass: 15.0ms (8.5% of total)
ival-sub: 3.0ms (1.7% of total)
const: 2.0ms (1.1% of total)
ival-add: 2.0ms (1.1% of total)

series93.0ms (0.8%)

Counts
24 → 540
Calls
Call 1
Inputs
#<alt (/ -1 (* (/ 2 x) (- 0 y)))>
#<alt (* (/ 2 x) (- 0 y))>
#<alt (/ 1 (cos (/ -1 (* (/ 2 x) (- 0 y)))))>
#<alt (cos (/ -1 (* (/ 2 x) (- 0 y))))>
#<alt (+ 1 (* (/ (* x 1/8) y) (/ x y)))>
#<alt (* (/ (* x 1/8) y) (/ x y))>
#<alt (/ (* x 1/8) y)>
#<alt (* x 1/8)>
#<alt (/ (/ 1 (sin (/ x (/ y 1/2)))) (/ 1 (tan (/ x (/ y 1/2)))))>
#<alt (/ 1 (sin (/ x (/ y 1/2))))>
#<alt (sin (/ x (/ y 1/2)))>
#<alt (/ x (/ y 1/2))>
#<alt (pow (pow y -1/2) 2)>
#<alt (/ (pow (pow y -1/2) 2) (/ 2 x))>
#<alt (/ 1 (cos (/ (pow (pow y -1/2) 2) (/ 2 x))))>
#<alt (cos (/ (pow (pow y -1/2) 2) (/ 2 x)))>
#<alt (* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x))>
#<alt (/ (tan (* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x))) (sin (/ x (* y 2))))>
#<alt (tan (* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x)))>
#<alt (pow (/ y 1/2) -1/2)>
#<alt (/ x y)>
#<alt (tan (/ x (/ y 1/2)))>
#<alt (/ 1 (tan (/ x (/ y 1/2))))>
#<alt (sin (/ x (* y 2)))>
Outputs
#<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 x))>
#<alt (* -2 (/ y x))>
#<alt (* -2 (/ y x))>
#<alt (* -2 (/ y x))>
#<alt (* -2 (/ y x))>
#<alt (* -2 (/ y x))>
#<alt (* -2 (/ y x))>
#<alt (* -2 (/ y x))>
#<alt (* -2 (/ y x))>
#<alt (* -2 (/ y x))>
#<alt (* -2 (/ y x))>
#<alt (* -2 (/ y x))>
#<alt (* -2 (/ y x))>
#<alt (* -2 (/ y x))>
#<alt (* -2 (/ y x))>
#<alt (* -2 (/ y x))>
#<alt (* -2 (/ y x))>
#<alt (* -2 (/ y x))>
#<alt (* -2 (/ y x))>
#<alt (* -2 (/ y x))>
#<alt (* -2 (/ y x))>
#<alt (* -2 (/ y x))>
#<alt (* -2 (/ y x))>
#<alt (* -2 (/ y x))>
#<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>
#<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 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 (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<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))))))>
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#<alt (/ (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ x y))))>
#<alt (/ (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ x y))))>
#<alt (/ (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ x y))))>
#<alt (/ (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ x y))))>
#<alt (/ (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ x y))))>
#<alt (/ (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ x y))))>
#<alt (/ (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ x y))))>
#<alt (* 2 (/ y x))>
#<alt (* y (+ (* -4 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* (pow x 2) (pow y 2)))) (* 2 (/ 1 x))))>
#<alt (* y (- (+ (* -1 (/ (+ (* -8 (/ (pow (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) 2) (pow x 3))) (* 4 (/ (- (* 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 x 2)))) (pow y 4))) (* 2 (/ 1 x))) (* 4 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* (pow x 2) (pow y 2))))))>
#<alt (* y (- (+ (* -1 (/ (+ (* -8 (/ (* (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (- (* 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 x 3))) (+ (* -2 (/ (* (+ (* -8 (/ (pow (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) 2) (pow x 3))) (* 4 (/ (- (* 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 x 2)))) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) x)) (* 4 (/ (- (* -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)))))))) (pow x 2))))) (pow y 6))) (* 2 (/ 1 x))) (+ (* -8 (/ (pow (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) 2) (* (pow x 3) (pow y 4)))) (+ (* 4 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* (pow x 2) (pow y 2)))) (* 4 (/ (- (* 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 x 2) (pow y 4))))))))>
#<alt (* 2 (/ y x))>
#<alt (* -1 (* y (- (* -4 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* (pow x 2) (pow y 2)))) (* 2 (/ 1 x)))))>
#<alt (* -1 (* y (- (* -1 (/ (+ (* 4 (/ (- (* -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 x 2))) (* 8 (/ (pow (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2) (pow x 3)))) (pow y 4))) (+ (* 4 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* (pow x 2) (pow y 2)))) (* 2 (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (+ (* 2 (/ (* (+ (* 4 (/ (- (* -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 x 2))) (* 8 (/ (pow (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2) (pow x 3)))) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) x)) (+ (* 4 (/ (- (* 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)))))))) (pow x 2))) (* 8 (/ (* (- (* -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)))) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow x 3))))) (pow y 6))) (+ (* 4 (/ (- (* -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 x 2) (pow y 4)))) (+ (* 4 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* (pow x 2) (pow y 2)))) (+ (* 8 (/ (pow (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2) (* (pow x 3) (pow y 4)))) (* 2 (/ 1 x))))))))>
#<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

135 calls:

TimeVariablePointExpression
26.0ms
x
@0
(tan (* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x)))
21.0ms
y
@0
(* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x))
4.0ms
y
@inf
(/ (tan (* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x))) (sin (/ x (* y 2))))
4.0ms
y
@0
(/ 1 (sin (/ x (/ y 1/2))))
3.0ms
y
@-inf
(/ (tan (* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x))) (sin (/ x (* y 2))))

rewrite298.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
3280×*-lowering-*.f32
3280×*-lowering-*.f64
3142×/-lowering-/.f32
3142×/-lowering-/.f64
1122×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040189
1221139
21394137
08664137
Stop Event
1×iter limit
1×node limit
Counts
24 → 1128
Calls
Call 1
Inputs
(/ -1 (* (/ 2 x) (- 0 y)))
(* (/ 2 x) (- 0 y))
(/ 1 (cos (/ -1 (* (/ 2 x) (- 0 y)))))
(cos (/ -1 (* (/ 2 x) (- 0 y))))
(+ 1 (* (/ (* x 1/8) y) (/ x y)))
(* (/ (* x 1/8) y) (/ x y))
(/ (* x 1/8) y)
(* x 1/8)
(/ (/ 1 (sin (/ x (/ y 1/2)))) (/ 1 (tan (/ x (/ y 1/2)))))
(/ 1 (sin (/ x (/ y 1/2))))
(sin (/ x (/ y 1/2)))
(/ x (/ y 1/2))
(pow (pow y -1/2) 2)
(/ (pow (pow y -1/2) 2) (/ 2 x))
(/ 1 (cos (/ (pow (pow y -1/2) 2) (/ 2 x))))
(cos (/ (pow (pow y -1/2) 2) (/ 2 x)))
(* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x))
(/ (tan (* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x))) (sin (/ x (* y 2))))
(tan (* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x)))
(pow (/ y 1/2) -1/2)
(/ x y)
(tan (/ x (/ y 1/2)))
(/ 1 (tan (/ x (/ y 1/2))))
(sin (/ x (* y 2)))
Outputs
(+.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 y y))) #s(literal 0 binary64)))
(+.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y y)) #s(literal 0 binary64)))
(+.f64 (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 y y))) #s(literal 0 binary64)) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(+.f64 (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y y)) #s(literal 0 binary64)) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y #s(literal -1/2 binary64))) (/.f64 x (/.f64 y #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) x)) (/.f64 x (/.f64 y #s(literal -1/2 binary64))))
(neg.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x #s(literal -2 binary64))))
(/.f64 x (/.f64 y #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 x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
(/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -2 binary64) x))
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 y #s(literal -1/2 binary64))))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))
(*.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)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64))
(*.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 -1/4 binary64))) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)))
(*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 y y))) (*.f64 y y))
(*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y y)) y)
(*.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 y #s(literal -3/4 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal -2 binary64)) (/.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -3/4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -3/4 binary64)) #s(literal -2 binary64)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -3/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 x (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x #s(literal -2 binary64))))
(+.f64 (/.f64 y (/.f64 x #s(literal -2 binary64))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 2 binary64) (/.f64 x y)))
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(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 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))))))
(pow.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 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) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 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))))))
(*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(*.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (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))))))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #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 -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (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))))))
(/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) #s(literal -1 binary64))
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(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 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 1/2 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(neg.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
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(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 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) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 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) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))

simplify412.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
5310×+-lowering-+.f64
5310×+-lowering-+.f32
4776×*-lowering-*.f32
4776×*-lowering-*.f64
1664×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09459070
132028105
085518105
Stop Event
1×iter limit
1×node limit
Counts
540 → 540
Calls
Call 1
Inputs
(* 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 x))
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(* -2 (/ y x))
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(* -2 (/ y x))
(* -2 (/ y x))
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(* -2 (/ y x))
(* -2 (/ y x))
(* -2 (/ y x))
(* -2 (/ y x))
(* -2 (/ y x))
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(* -2 (/ y x))
(* -2 (/ y x))
(* -2 (/ y x))
(* -2 (/ y x))
(* -2 (/ y x))
(* -2 (/ y x))
(* -2 (/ y x))
(* -2 (/ y x))
(* -2 (/ y x))
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 (* 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) (- (* 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)))
(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
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(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
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(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
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(* 1/8 (/ (pow x 2) (pow y 2)))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
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(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
1
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1
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(* 1/8 (/ (pow x 2) (pow y 2)))
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(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
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(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ x y))
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(* 1/8 (/ x y))
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(* 1/8 x)
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(* 1/8 x)
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1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
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(/ 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))))
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1
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1
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(- (+ 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)))))))))
(* 2 (/ y x))
(/ (+ (* 1/12 (/ (pow x 2) y)) (* 2 y)) x)
(/ (+ (* 2 y) (* (pow x 2) (+ (* 7/2880 (/ (pow x 2) (pow y 3))) (* 1/12 (/ 1 y))))) x)
(/ (+ (* 2 y) (* (pow x 2) (+ (* (pow x 2) (+ (* 31/483840 (/ (pow x 2) (pow y 5))) (* 7/2880 (/ 1 (pow y 3))))) (* 1/12 (/ 1 y))))) x)
(/ 1 (sin (* 1/2 (/ x y))))
(/ 1 (sin (* 1/2 (/ x y))))
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(/ 1 (sin (* 1/2 (/ x y))))
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(* -2 (pow (sqrt -1/2) 2))
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(* 2 (pow (sqrt 1/2) 2))
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(+ (* 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)))))
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Outputs
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(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
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(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
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(* 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))))
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(sin (* 1/2 (/ x y)))
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(sin (* 1/2 (/ x y)))
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(sin (* 1/2 (/ x y)))
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(* 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))
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(* -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))
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eval254.0ms (2.3%)

Compiler

Compiled 36246 to 3917 computations (89.2% saved)

prune295.0ms (2.7%)

Pruning

94 alts after pruning (90 fresh and 4 done)

PrunedKeptTotal
New1775351810
Fresh195574
Picked325
Done022
Total1797941891
Accuracy
61.9%
Counts
1891 → 94
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.5%
(pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
53.7%
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
55.0%
(pow.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1/2 binary64))
52.2%
(pow.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64))
28.0%
(/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
44.3%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.8%
(/.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 -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
38.0%
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) y) (*.f64 y #s(literal 2 binary64))) x) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
7.3%
(/.f64 (/.f64 (+.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 1/2 binary64))))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal -2 binary64)))
6.8%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
28.9%
(/.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.6%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.1%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
39.3%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 (*.f64 y #s(literal 2 binary64)) x))
44.3%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
44.3%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 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))))))))
43.5%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))))))
43.8%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))))
44.1%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x #s(literal -2 binary64)))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
43.3%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
21.8%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y y)) y))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
55.5%
(/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) y)
6.5%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #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))))
6.4%
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))) (-.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)))))))) #s(literal -2 binary64)) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
45.5%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
36.8%
(/.f64 (*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 y y)) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
40.2%
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
22.7%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
18.6%
(/.f64 (tan.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)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
26.2%
(/.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)))))
45.0%
(/.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)))))
18.7%
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal 0 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
24.7%
(/.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 y x))))
40.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))))
26.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 x (*.f64 y #s(literal -2 binary64))))))
23.7%
(/.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) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)))) x)))
23.8%
(/.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) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))) x)))
26.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) y)) x)))
41.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 y #s(literal 1/2 binary64)))))))
41.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) y))))))
41.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/2 binary64)))))))
44.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))))))
41.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))))))
40.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 y)))))))))
41.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64)))))))
44.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x #s(literal 2 binary64))))))
44.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
45.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
24.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)))))
40.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
41.8%
(/.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)))))
43.8%
(/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.0%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.9%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.5%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.8%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y #s(literal 1/2 binary64))))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.8%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.7%
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
39.8%
(/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.3%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal -2 binary64)))
45.5%
(/.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))))))
47.5%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
41.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))))
44.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
55.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) x))))
✓56.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x))))
55.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) (/.f64 #s(literal 2 binary64) x))))
✓56.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
55.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x))))
56.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
50.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 x #s(literal 2 binary64))) y))))
42.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (/.f64 x #s(literal -2 binary64))) (/.f64 y (/.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 2 binary64) (/.f64 x y))))))
45.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) (neg.f64 (/.f64 y (/.f64 #s(literal 2 binary64) x)))))))
55.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64))))))
50.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 x #s(literal 2 binary64))))))))
56.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) x) y))))
45.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 2 binary64) x)))))))
55.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) x)))))
50.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y y)) y)))
50.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
44.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))
56.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
55.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
51.6%
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal -1/8 binary64)) y) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
47.1%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
22.2%
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 x #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))
✓51.6%
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 x y)))
49.1%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
31.5%
(*.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 y y))) y) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
6.3%
(*.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 x (/.f64 y #s(literal 1/2 binary64)))))
4.7%
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))) #s(literal -1/2 binary64)) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
44.0%
(*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal -1/2 binary64)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
44.1%
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
✓55.7%
#s(literal 1 binary64)
Compiler

Compiled 4818 to 2022 computations (58% saved)

regimes212.0ms (1.9%)

Counts
142 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 x y)))
(+.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 x) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal -1/8 binary64)) y) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(/.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 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 x #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.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 (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) y)
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y y)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y)))))
(/.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 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 (*.f64 y #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) (neg.f64 (/.f64 y (/.f64 #s(literal 2 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 x #s(literal 2 binary64))) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 2 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 x #s(literal 2 binary64))))))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)))
(/.f64 (*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 y y)) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x x)) y) (*.f64 y #s(literal 2 binary64))) x) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (/.f64 x #s(literal -2 binary64))) (/.f64 y (/.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 2 binary64) (/.f64 x 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))
(pow.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))))
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal -2 binary64)))
(/.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 #s(literal 1/2 binary64) (/.f64 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 x (/.f64 y #s(literal 1/2 binary64))))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.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 #s(literal 1 binary64) (/.f64 y (/.f64 x #s(literal 2 binary64))))))
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) y)) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.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 1/2 binary64)))) (sin.f64 (/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 y 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 #s(literal -1/2 binary64) y) x))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))))
(/.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 x))) 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 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x #s(literal -2 binary64)))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 y x))) (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 0 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) 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 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y y)) y))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2 binary64)))) (*.f64 (*.f64 y #s(literal -2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.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))))))
(/.f64 (tan.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)))) (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 0 binary64) (*.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 x (*.f64 y #s(literal -2 binary64))))))
(/.f64 (tan.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)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 y y))) y) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 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))
(pow.f64 (pow.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) x))))
(pow.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1/2 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))
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64))))))
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(*.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (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)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal -2 binary64)))
(*.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal -1/2 binary64)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal -1/2 binary64)) x)))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(*.f64 (sin.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 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)))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (+.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 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal -2 binary64)) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.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 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal 0 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 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))))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.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)))))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 y))) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(/.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)))))
(/.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)))))))
(/.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)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.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))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) 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) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))) x)))
(/.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)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.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)))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (/.f64 (*.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.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)))) (/.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))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.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))))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))) (-.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)))))))) #s(literal -2 binary64)) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))))
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))) #s(literal -1 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 -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)))) x)))
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y #s(literal 1/2 binary64))))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.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)))))
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))) #s(literal -1/2 binary64)) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 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 (/.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 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.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 -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 1/2 binary64)))))))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sin.f64 (/.f64 x (exp.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 y)))))))
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) 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 x (exp.f64 (/.f64 (*.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))) (log.f64 (/.f64 y #s(literal 1/2 binary64)))) (log.f64 (*.f64 y #s(literal 1/2 binary64))))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))))))
(/.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 x y))) #s(literal 3 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 y #s(literal 1/2 binary64))))) (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 y)))))))))
Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) x) y))))
#s(literal 1 binary64)
Calls

5 calls:

44.0ms
y
44.0ms
x
40.0ms
(*.f64 y #s(literal 2 binary64))
38.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
38.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
56.4%1x
56.4%1y
58.2%2(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
58.3%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
56.4%1(*.f64 y #s(literal 2 binary64))
Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes11.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 x y)))
(+.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 x) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal -1/8 binary64)) y) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(/.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 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 x #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.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 (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) y)
Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
#s(literal 1 binary64)
Calls

2 calls:

5.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
57.7%2x
56.0%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 x y)))
(+.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 x) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal -1/8 binary64)) y) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(/.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 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 x #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.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))))
Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
#s(literal 1 binary64)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
57.6%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 x y)))
(+.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 x) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal -1/8 binary64)) y) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(/.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 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 x #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
Calls

2 calls:

6.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
56.0%1y
56.0%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Accuracy

Total -21.6b remaining (-76.2%)

Threshold costs -21.6b (-76.2%)

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

2 calls:

7.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
55.7%1y
55.7%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
6.87636525115004e+223
4.186874422513247e+241
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch34.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
32.0ms
3.670032987658766e+99
7.13362920804859e+102
Results
24.0ms80×1valid
4.0ms48×0valid
Compiler

Compiled 140 to 116 computations (17.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-tan: 5.0ms (32.7% of total)
ival-sin: 4.0ms (26.2% of total)
ival-div: 3.0ms (19.6% of total)
ival-mult: 2.0ms (13.1% of total)
backward-pass: 1.0ms (6.5% of total)
const: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
30.0ms
3.670032987658766e+99
7.13362920804859e+102
Results
23.0ms90×1valid
3.0ms38×0valid
Compiler

Compiled 140 to 116 computations (17.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-tan: 4.0ms (21.9% of total)
backward-pass: 4.0ms (21.9% of total)
ival-sin: 4.0ms (21.9% of total)
ival-div: 3.0ms (16.4% of total)
ival-mult: 2.0ms (10.9% of total)
const: 0.0ms (0% of total)

simplify95.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03554
14254
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 99999999999999996954903517948319502092964807244749211214842475260109694882873713352688654575305085714037182409224841134505892881183378706080253249519082903930108094789640533388351546084948006950326015738792668900564521713664 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) x) y)))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 6500000000000000410310477185104660509709506844680420152858143482774139559697108428275632553229872529408 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 62000000000000001374513027250260733087729394461164525945125598668464504637818844524824370953353953280 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
#s(literal 1 binary64)
Outputs
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 99999999999999996954903517948319502092964807244749211214842475260109694882873713352688654575305085714037182409224841134505892881183378706080253249519082903930108094789640533388351546084948006950326015738792668900564521713664 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) x) y)))) #s(literal 1 binary64))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 99999999999999996954903517948319502092964807244749211214842475260109694882873713352688654575305085714037182409224841134505892881183378706080253249519082903930108094789640533388351546084948006950326015738792668900564521713664 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 6500000000000000410310477185104660509709506844680420152858143482774139559697108428275632553229872529408 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 62000000000000001374513027250260733087729394461164525945125598668464504637818844524824370953353953280 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
#s(literal 1 binary64)

soundness1.4s (12.2%)

Rules
4750×*-lowering-*.f32
4750×*-lowering-*.f64
3912×*-lowering-*.f32
3912×*-lowering-*.f64
3280×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049187
1287175
22162171
08235171
03161937
110451825
240931805
085651805
031116
1155108
2844108
37404108
08014108
040189
1221139
21394137
08664137
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 178 to 135 computations (24.2% saved)

preprocess89.0ms (0.8%)

Compiler

Compiled 378 to 250 computations (33.9% saved)

end0.0ms (0%)

Profiling

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