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

Time bar (total: 11.9s)

analyze266.0ms (2.2%)

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: 131.0ms
ival-div: 45.0ms (34.4% of total)
ival-tan: 45.0ms (34.4% of total)
ival-mult: 23.0ms (17.6% of total)
ival-sin: 14.0ms (10.7% of total)
const: 3.0ms (2.3% of total)
backward-pass: 1.0ms (0.8% of total)

sample1.8s (15.3%)

Results
1.2s4049×1valid
380.0ms4207×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-tan: 527.0ms (46.6% of total)
ival-sin: 238.0ms (21% of total)
ival-div: 197.0ms (17.4% of total)
ival-mult: 102.0ms (9% of total)
backward-pass: 53.0ms (4.7% of total)
const: 13.0ms (1.1% of total)
Bogosity

preprocess63.0ms (0.5%)

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)

explain145.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1200-26(4.381787751941979e+233 7.272245949883414e-291)(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
1200-26(4.381787751941979e+233 7.272245949883414e-291)(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
250-0-(/.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
58.0ms232×1valid
42.0ms280×0valid
Compiler

Compiled 93 to 26 computations (72% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-div: 29.0ms (42.9% of total)
ival-sin: 16.0ms (23.7% of total)
ival-tan: 12.0ms (17.8% of total)
ival-mult: 6.0ms (8.9% of total)
backward-pass: 4.0ms (5.9% of total)
const: 1.0ms (1.5% 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
▶48.6%
(/.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)

simplify5.0ms (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))))

localize56.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y #s(literal 2 binary64))
✓accuracy90.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy58.3%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy58.0%
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Results
33.0ms116×1valid
12.0ms140×0valid
Compiler

Compiled 39 to 9 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-tan: 11.0ms (38.4% of total)
ival-sin: 6.0ms (20.9% of total)
ival-div: 5.0ms (17.4% of total)
ival-mult: 4.0ms (14% of total)
backward-pass: 2.0ms (7% of total)
const: 0.0ms (0% 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
3.0ms
y
@inf
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
2.0ms
x
@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))))

rewrite206.0ms (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
0869627
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 #s(literal 1/2 binary64) (/.f64 y x)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
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(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 y #s(literal 1/2 binary64)))
(pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 #s(literal -2 binary64) (/.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2 binary64))
(*.f64 (/.f64 y #s(literal -1 binary64)) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -2 binary64))
(+.f64 #s(literal 0 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
(sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 1 binary64))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) #s(literal -1 binary64)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))
(pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1 binary64))
(*.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 1 binary64))
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))

simplify730.0ms (6.1%)

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
110451915
240911901
085621901
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 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 5/384 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 61/46080 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))))))))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
1
#s(literal 1 binary64)
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(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))
(/.f64 (+.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))))) (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))
(/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 y y)))) (+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/92160 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)) (*.f64 y y)) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/24 binary64)) #s(literal 1/384 binary64))) (pow.f64 y #s(literal 6 binary64)))))) (*.f64 #s(literal -1/8 binary64) (+.f64 (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/768 binary64))) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/24 binary64)))) (pow.f64 y #s(literal 4 binary64))))))) (-.f64 #s(literal 0 binary64) y))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 y (*.f64 y y)))))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3840 binary64)) (pow.f64 y #s(literal 5 binary64)))))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/645120 binary64)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64))))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))))))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)) (+.f64 (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))))) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 y y))) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 y y)))) (-.f64 #s(literal 0 binary64) y))

eval97.0ms (0.8%)

Compiler

Compiled 13691 to 1754 computations (87.2% saved)

prune178.0ms (1.5%)

Pruning

68 alts after pruning (68 fresh and 0 done)

PrunedKeptTotal
New57068638
Fresh000
Picked101
Done000
Total57168639
Accuracy
63.5%
Counts
639 → 68
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.5%
(pow.f64 (*.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64))
48.2%
(/.f64 (/.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
33.4%
(/.f64 (/.f64 (/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.8%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
8.4%
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
23.5%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) #s(literal 0 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.4%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.5%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.4%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.7%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
8.2%
(/.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 #s(literal 1/2 binary64) (/.f64 y x))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.9%
(/.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 #s(literal 1/2 binary64) (/.f64 y x)))) (*.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.4%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.1%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
47.0%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
47.0%
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.8%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
7.8%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
33.0%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
8.4%
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.2%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
31.5%
(/.f64 (tan.f64 (pow.f64 (*.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)) (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.8%
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶48.0%
(/.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)))))
34.0%
(/.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)))))
27.3%
(/.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)))))
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)))))
48.5%
(/.f64 (tan.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.6%
(/.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))))
7.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))))
7.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
33.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))
43.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
34.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 y (*.f64 y y))))))
46.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
48.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
34.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))))
21.6%
(/.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)))))))))
26.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))))
18.8%
(/.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) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))))
25.8%
(/.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) (*.f64 x x))) x)))
21.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.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))))))
30.1%
(/.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))))))
48.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
44.0%
(/.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)))))))
47.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
25.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 y #s(literal 1/2 binary64)))))
48.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
43.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
44.2%
(/.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)))))
46.7%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.7%
(/.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)))))
▶48.2%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
25.9%
(/.f64 (tan.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
48.1%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.7%
(/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.1%
(/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))
▶40.3%
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶58.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
58.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
48.6%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))))
7.7%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))
47.1%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
47.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
47.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
47.0%
(*.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 #s(literal 1/2 binary64) (/.f64 y x)))))
55.0%
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1 binary64)))
▶56.4%
#s(literal 1 binary64)
Compiler

Compiled 3196 to 2170 computations (32.1% saved)

simplify63.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
✓cost-diff256
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) #s(literal -1 binary64))
✓cost-diff13056
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) #s(literal -1 binary64)))
✓cost-diff13056
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓cost-diff6464
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
✓cost-diff6592
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))
✓cost-diff6592
(tan.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
✓cost-diff6592
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))
✓cost-diff128
(tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))
✓cost-diff128
(/.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)))))
✓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
550×fma-define
380×fmsub-define
358×fma-lowering-fma.f32
358×fma-lowering-fma.f64
320×fnmadd-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033212
159209
294199
3147199
4233199
5366199
6525199
7800199
81048199
91236199
101647199
111808199
122170199
132173199
02173199
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
(/ (tan (/ (/ 1 y) (/ 2 x))) (sin (/ x (* y 2))))
(tan (/ (/ 1 y) (/ 2 x)))
(/ (/ 1 y) (/ 2 x))
(/ 1 y)
1
y
(/ 2 x)
2
x
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
(/ (tan (* (pow (/ -1 x) -1) (/ -1/2 y))) (sin (/ x (* y 2))))
(tan (* (pow (/ -1 x) -1) (/ -1/2 y)))
(* (pow (/ -1 x) -1) (/ -1/2 y))
(pow (/ -1 x) -1)
(/ -1 x)
-1
x
(/ -1/2 y)
-1/2
y
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
2
(/ (exp (* (log (/ 1 (tan (/ 1/2 (/ y x))))) -1)) (sin (/ x (* y 2))))
(exp (* (log (/ 1 (tan (/ 1/2 (/ y x))))) -1))
(* (log (/ 1 (tan (/ 1/2 (/ y x))))) -1)
(log (/ 1 (tan (/ 1/2 (/ y x)))))
(/ 1 (tan (/ 1/2 (/ y x))))
1
(tan (/ 1/2 (/ y x)))
(/ 1/2 (/ y x))
1/2
(/ y x)
y
x
-1
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
2
Outputs
(/ 1 (cos (/ (* x 1/2) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(cos (/ (* x 1/2) y))
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ (* x 1/2) y)
(/.f64 x (*.f64 y #s(literal 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)
(/ (tan (/ (/ 1 y) (/ 2 x))) (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 (/ (/ 1 y) (/ 2 x)))
(tan.f64 (/.f64 x (*.f64 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)
1
#s(literal 1 binary64)
y
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(sin (/ x (* y 2)))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ x (* y 2))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(* y 2)
(*.f64 y #s(literal 2 binary64))
(/ (tan (* (pow (/ -1 x) -1) (/ -1/2 y))) (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 (* (pow (/ -1 x) -1) (/ -1/2 y)))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(* (pow (/ -1 x) -1) (/ -1/2 y))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(pow (/ -1 x) -1)
(-.f64 #s(literal 0 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(/ -1/2 y)
(/.f64 #s(literal -1/2 binary64) y)
-1/2
#s(literal -1/2 binary64)
y
(sin (/ x (* y 2)))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ x (* y 2))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(* y 2)
(*.f64 y #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (exp (* (log (/ 1 (tan (/ 1/2 (/ y x))))) -1)) (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)))))
(exp (* (log (/ 1 (tan (/ 1/2 (/ y x))))) -1))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(* (log (/ 1 (tan (/ 1/2 (/ y x))))) -1)
(log.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(log (/ 1 (tan (/ 1/2 (/ y x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))))
(/ 1 (tan (/ 1/2 (/ y x))))
(/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(tan (/ 1/2 (/ y x)))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ 1/2 (/ y x))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ y x)
(/.f64 y x)
y
x
-1
#s(literal -1 binary64)
(sin (/ x (* y 2)))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ x (* y 2))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(* y 2)
(*.f64 y #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize280.0ms (2.3%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy90.4%
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy88.8%
(log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
✓accuracy78.1%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy77.9%
(tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
✓accuracy99.8%
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))
✓accuracy90.4%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy78.1%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy77.9%
(tan.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
✓accuracy99.6%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))
✓accuracy90.4%
(/.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)))))
✓accuracy78.1%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy77.9%
(tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy100.0%
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
✓accuracy78.2%
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
Results
96.0ms61×1valid
68.0ms138×0valid
53.0ms53×1invalid
2.0ms4×0invalid
Compiler

Compiled 243 to 34 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
ival-div: 46.0ms (32.1% of total)
ival-cos: 24.0ms (16.7% of total)
ival-tan: 19.0ms (13.2% of total)
ival-mult: 16.0ms (11.2% of total)
ival-pow: 14.0ms (9.8% of total)
backward-pass: 8.0ms (5.6% of total)
ival-sin: 8.0ms (5.6% of total)
ival-log: 5.0ms (3.5% of total)
ival-exp: 3.0ms (2.1% of total)
const: 1.0ms (0.7% of total)

series139.0ms (1.2%)

Counts
18 → 396
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 (/ (tan (/ (/ 1 y) (/ 2 x))) (sin (/ x (* y 2))))>
#<alt (tan (/ (/ 1 y) (/ 2 x)))>
#<alt (/ (/ 1 y) (/ 2 x))>
#<alt (/ 1 y)>
#<alt (/ (tan (* (pow (/ -1 x) -1) (/ -1/2 y))) (sin (/ x (* y 2))))>
#<alt (tan (* (pow (/ -1 x) -1) (/ -1/2 y)))>
#<alt (* (pow (/ -1 x) -1) (/ -1/2 y))>
#<alt (pow (/ -1 x) -1)>
#<alt (/ (exp (* (log (/ 1 (tan (/ 1/2 (/ y x))))) -1)) (sin (/ x (* y 2))))>
#<alt (exp (* (log (/ 1 (tan (/ 1/2 (/ y x))))) -1))>
#<alt (* (log (/ 1 (tan (/ 1/2 (/ y x))))) -1)>
#<alt (log (/ 1 (tan (/ 1/2 (/ y x)))))>
#<alt (sin (/ x (* y 2)))>
#<alt (tan (/ 1/2 (/ y x)))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (/ 1 (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>
#<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 (/ (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 (* 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 (* 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 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 (* (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))))>
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#<alt (+ (log (/ 2 x)) (+ (* -2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* -1 (log (/ 1 y))) (+ (* 1/720 (/ (+ (* -1920 (/ (pow (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) 3) (pow x 3))) (+ (* -720 (* (+ (* -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))))) (* -360 (* x (+ (* -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))) (* 1/24 (/ (+ (* -48 (/ (pow (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) 2) (pow x 2))) (* -12 (* x (+ (* -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)))))))>
#<alt (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))>
#<alt (+ (log (/ -2 x)) (+ (* -1 (log (/ -1 y))) (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))>
#<alt (+ (log (/ -2 x)) (+ (* -1 (log (/ -1 y))) (+ (* 1/24 (/ (+ (* -48 (/ (pow (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2) (pow x 2))) (* 12 (* x (+ (* 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))) (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))))>
#<alt (+ (log (/ -2 x)) (+ (* -1 (log (/ -1 y))) (+ (* 1/720 (/ (+ (* -720 (* (+ (* 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))))) (+ (* 360 (* x (+ (* 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))))))) (* 1920 (/ (pow (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 3) (pow x 3))))) (pow y 6))) (+ (* 1/24 (/ (+ (* -48 (/ (pow (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2) (pow x 2))) (* 12 (* x (+ (* 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))) (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))))>
#<alt (+ (log (* 2 y)) (* -1 (log x)))>
#<alt (+ (log (* 2 y)) (+ (* -1 (log x)) (* -1/12 (/ (pow x 2) (pow y 2)))))>
#<alt (+ (log (* 2 y)) (+ (* -1 (log x)) (* (pow x 2) (- (* -7/1440 (/ (pow x 2) (pow y 4))) (* 1/12 (/ 1 (pow y 2)))))))>
#<alt (+ (log (* 2 y)) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -31/90720 (/ (pow x 2) (pow y 6))) (* 7/1440 (/ 1 (pow y 4))))) (* 1/12 (/ 1 (pow y 2)))))))>
#<alt (log (/ (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ x y)))))>
#<alt (log (/ (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ x y)))))>
#<alt (log (/ (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ x y)))))>
#<alt (log (/ (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ x y)))))>
#<alt (log (/ (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ x y)))))>
#<alt (log (/ (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ x y)))))>
#<alt (log (/ (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ x y)))))>
#<alt (log (/ (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ x y)))))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))>
#<alt (/ (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 (* 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))))>
Calls

99 calls:

TimeVariablePointExpression
39.0ms
x
@-inf
(* (log (/ 1 (tan (/ 1/2 (/ y x))))) -1)
37.0ms
y
@0
(* (log (/ 1 (tan (/ 1/2 (/ y x))))) -1)
17.0ms
x
@inf
(* (log (/ 1 (tan (/ 1/2 (/ y x))))) -1)
12.0ms
y
@inf
(* (log (/ 1 (tan (/ 1/2 (/ y x))))) -1)
8.0ms
y
@-inf
(* (log (/ 1 (tan (/ 1/2 (/ y x))))) -1)

rewrite159.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1288×*-lowering-*.f32
1288×*-lowering-*.f64
944×/-lowering-/.f32
944×/-lowering-/.f64
532×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033111
1158103
2812101
03160101
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
18 → 787
Calls
Call 1
Inputs
(/ 1 (cos (/ (* x 1/2) y)))
(cos (/ (* x 1/2) y))
(/ (* x 1/2) y)
(* x 1/2)
(/ (tan (/ (/ 1 y) (/ 2 x))) (sin (/ x (* y 2))))
(tan (/ (/ 1 y) (/ 2 x)))
(/ (/ 1 y) (/ 2 x))
(/ 1 y)
(/ (tan (* (pow (/ -1 x) -1) (/ -1/2 y))) (sin (/ x (* y 2))))
(tan (* (pow (/ -1 x) -1) (/ -1/2 y)))
(* (pow (/ -1 x) -1) (/ -1/2 y))
(pow (/ -1 x) -1)
(/ (exp (* (log (/ 1 (tan (/ 1/2 (/ y x))))) -1)) (sin (/ x (* y 2))))
(exp (* (log (/ 1 (tan (/ 1/2 (/ y x))))) -1))
(* (log (/ 1 (tan (/ 1/2 (/ y x))))) -1)
(log (/ 1 (tan (/ 1/2 (/ y x)))))
(sin (/ x (* y 2)))
(tan (/ 1/2 (/ y x)))
Outputs
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.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))))))
(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 (/.f64 #s(literal 1 binary64) (cos.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)))) (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (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 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.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 0 binary64) (tan.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 0 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (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 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (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 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (neg.f64 (*.f64 (cos.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 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 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 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 (*.f64 (-.f64 #s(literal 0 binary64) (sin.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)))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.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))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.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))))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.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 0 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 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.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 #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 (-.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)))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (-.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 #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))
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(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
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(*.f64 (*.f64 (sin.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 -1/2 binary64))) (pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))

simplify368.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
4228×*-lowering-*.f32
4228×*-lowering-*.f64
3348×+-lowering-+.f64
3348×+-lowering-+.f32
1886×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05298594
117468453
270358453
081048453
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
1
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1
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1
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1
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Outputs
1
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1
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(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 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y y))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.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 (/.f64 (*.f64 (*.f64 x (*.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 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))
(/ (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 x #s(literal 1/2 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (/.f64 (*.f64 (*.f64 x (*.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 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) (*.f64 #s(literal 1/8 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 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/16 binary64)) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/768 binary64)) (pow.f64 y #s(literal 4 binary64))))) 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 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (+.f64 (/.f64 (*.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64))) (-.f64 (+.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)))) (+.f64 (+.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 (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)) (*.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 #s(literal -1/8 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))) (pow.f64 y #s(literal 4 binary64))) (*.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 x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal -1/8 binary64)))) (/.f64 (*.f64 x x) (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 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y y)) (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y y)) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.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))))))) (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 x #s(literal -1/2 binary64)) (-.f64 (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.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 (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 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.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)))) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/24 binary64)))) (pow.f64 y #s(literal 4 binary64)))))) (+.f64 (+.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 4 binary64)) (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 x (*.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 5 binary64)) #s(literal -1/768 binary64)) (pow.f64 y #s(literal 4 binary64))))))) (neg.f64 y))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x (+ (* 1/24 (/ (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 1/24 binary64)) (*.f64 y (*.f64 y y)))))
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 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 (*.f64 x x) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y 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))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 17/40320 binary64)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/240 binary64) (pow.f64 y #s(literal 5 binary64)))))))))
(/ (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)))

eval168.0ms (1.4%)

Compiler

Compiled 28729 to 2261 computations (92.1% saved)

prune211.0ms (1.8%)

Pruning

73 alts after pruning (70 fresh and 3 done)

PrunedKeptTotal
New1225261251
Fresh194463
Picked235
Done000
Total1246731319
Accuracy
64.2%
Counts
1319 → 73
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.3%
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
56.5%
(pow.f64 (*.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64))
32.4%
(/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 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)))))) #s(literal -1/2 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
48.2%
(/.f64 (/.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.8%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
8.4%
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
23.5%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) #s(literal 0 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.4%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.5%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.4%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.7%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.4%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.1%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
47.0%
(/.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)))))
47.0%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
7.8%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
7.8%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
33.0%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
8.4%
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶46.2%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
29.9%
(/.f64 (tan.f64 (/.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.2%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
46.4%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
✓48.0%
(/.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)))))
46.6%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (neg.f64 (sin.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
34.0%
(/.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)))))
27.3%
(/.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)))))
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)))))
43.8%
(/.f64 (tan.f64 (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 y))) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶48.5%
(/.f64 (tan.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.6%
(/.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))))
7.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
43.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
48.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
34.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))))
21.6%
(/.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)))))))))
26.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))))
18.8%
(/.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) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))))
25.8%
(/.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) (*.f64 x x))) x)))
44.0%
(/.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)))))))
47.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
25.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 y #s(literal 1/2 binary64)))))
43.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
44.2%
(/.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)))))
46.7%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
2.8%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.7%
(/.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)))))
48.2%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
48.1%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.7%
(/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.1%
(/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))
30.3%
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 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)))))) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.8%
(/.f64 (exp.f64 (neg.f64 (log.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 2 binary64)))))
47.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.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)))))))
48.6%
(/.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))))))
46.4%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
58.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) y)))
58.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
58.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))) y)))
✓58.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
57.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) y)))
58.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
58.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y #s(literal 1/2 binary64))))))
▶58.8%
(/.f64 #s(literal 1 binary64) (cos.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)))))
58.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x #s(literal 2 binary64))))))
58.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
▶58.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
▶45.7%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
47.1%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
47.0%
(*.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)))))
47.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
55.0%
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1 binary64)))
✓56.4%
#s(literal 1 binary64)
Compiler

Compiled 3076 to 2101 computations (31.7% saved)

simplify102.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64))
✓cost-diff12928
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓cost-diff12928
(tan.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓cost-diff12928
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓cost-diff128
(*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
✓cost-diff12928
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
✓cost-diff12928
(cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))))
✓cost-diff12928
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
✓cost-diff128
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
✓cost-diff128
(/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))
✓cost-diff128
(tan.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
✓cost-diff128
(/.f64 (tan.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓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
(pow.f64 y #s(literal -1/2 binary64))
✓cost-diff13056
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))
✓cost-diff13056
(cos.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))))
✓cost-diff13056
(/.f64 #s(literal 1 binary64) (cos.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)))))
Rules
880×*-lowering-*.f32
880×*-lowering-*.f64
784×times-frac
694×associate-/r*
686×/-lowering-/.f32
Iterations

Useful iterations: 13 (0.0ms)

IterNodesCost
040285
176239
2129217
3207217
4261217
5458217
6912217
7955217
8990217
91032217
101109217
111381217
121821217
132228216
142537216
152595216
162608216
172613216
182639216
192639216
202639216
212642216
02642216
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (cos (* (pow y -1/2) (/ (pow y -1/2) (/ 2 x)))))
1
(cos (* (pow y -1/2) (/ (pow y -1/2) (/ 2 x))))
(* (pow y -1/2) (/ (pow y -1/2) (/ 2 x)))
(pow y -1/2)
y
-1/2
(/ (pow y -1/2) (/ 2 x))
(/ 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 (/ 2 (/ 1 y)))) (sin (/ x (* y 2))))
(tan (/ x (/ 2 (/ 1 y))))
(/ x (/ 2 (/ 1 y)))
x
(/ 2 (/ 1 y))
2
(/ 1 y)
1
y
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
(/ 1 (cos (exp (* (log (/ y (/ x 2))) -1))))
1
(cos (exp (* (log (/ y (/ x 2))) -1)))
(exp (* (log (/ y (/ x 2))) -1))
(* (log (/ y (/ x 2))) -1)
(log (/ y (/ x 2)))
(/ y (/ x 2))
y
(/ x 2)
x
2
-1
(/ (tan (pow (pow (/ 1/2 (/ y x)) 1/2) 2)) (sin (/ x (* y 2))))
(tan (pow (pow (/ 1/2 (/ y x)) 1/2) 2))
(pow (pow (/ 1/2 (/ y x)) 1/2) 2)
(pow (/ 1/2 (/ y x)) 1/2)
(/ 1/2 (/ y x))
1/2
(/ y x)
y
x
2
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
Outputs
(/ 1 (cos (* (pow y -1/2) (/ (pow y -1/2) (/ 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 y -1/2) (/ (pow y -1/2) (/ 2 x))))
(cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(* (pow y -1/2) (/ (pow y -1/2) (/ 2 x)))
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
(pow y -1/2)
(pow.f64 y #s(literal -1/2 binary64))
y
-1/2
#s(literal -1/2 binary64)
(/ (pow y -1/2) (/ 2 x))
(/.f64 x (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(/ 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 #s(literal 1/8 binary64) (/.f64 y (/.f64 (*.f64 x x) y))))
1
#s(literal 1 binary64)
(/ (* 1/8 (* x x)) (* y y))
(/.f64 #s(literal 1/8 binary64) (/.f64 y (/.f64 (*.f64 x x) y)))
(* 1/8 (* x x))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
1/8
#s(literal 1/8 binary64)
(* x x)
(*.f64 x x)
x
(* y y)
(*.f64 y y)
y
(/ (tan (/ x (/ 2 (/ 1 y)))) (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 (/ x (/ 2 (/ 1 y))))
(tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(/ x (/ 2 (/ 1 y)))
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
x
(/ 2 (/ 1 y))
(/.f64 y #s(literal 1/2 binary64))
2
#s(literal 2 binary64)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(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))
(/ 1 (cos (exp (* (log (/ y (/ x 2))) -1))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
1
#s(literal 1 binary64)
(cos (exp (* (log (/ y (/ x 2))) -1)))
(cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(exp (* (log (/ y (/ x 2))) -1))
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
(* (log (/ y (/ x 2))) -1)
(log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(log (/ y (/ x 2)))
(log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))
(/ y (/ x 2))
(/.f64 y (/.f64 x #s(literal 2 binary64)))
y
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
-1
#s(literal -1 binary64)
(/ (tan (pow (pow (/ 1/2 (/ y x)) 1/2) 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)))))
(tan (pow (pow (/ 1/2 (/ y x)) 1/2) 2))
(tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(pow (pow (/ 1/2 (/ y x)) 1/2) 2)
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
(pow (/ 1/2 (/ y x)) 1/2)
(pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(/ 1/2 (/ y x))
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(/ y x)
(/.f64 y x)
y
x
2
#s(literal 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))

localize386.0ms (3.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy90.3%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy80.9%
(pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64))
✓accuracy58.3%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy58.0%
(tan.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
✓accuracy93.1%
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
✓accuracy80.8%
(log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))
✓accuracy58.5%
(cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))))
✓accuracy99.7%
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
✓accuracy90.3%
(/.f64 (tan.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy58.3%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy58.0%
(tan.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))))
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓accuracy74.4%
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.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)))))
✓accuracy99.5%
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))
✓accuracy99.5%
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x))
✓accuracy58.5%
(cos.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))))
Results
220.0ms116×1valid
74.0ms140×0valid
Compiler

Compiled 276 to 41 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 214.0ms
ival-pow: 73.0ms (34.2% of total)
ival-div: 61.0ms (28.6% of total)
ival-mult: 16.0ms (7.5% of total)
ival-cos: 14.0ms (6.6% of total)
backward-pass: 14.0ms (6.6% of total)
ival-tan: 12.0ms (5.6% of total)
ival-log: 8.0ms (3.7% of total)
ival-exp: 7.0ms (3.3% of total)
ival-sin: 6.0ms (2.8% of total)
const: 2.0ms (0.9% of total)
ival-add: 2.0ms (0.9% of total)

series181.0ms (1.5%)

Counts
24 → 516
Calls
Call 1
Inputs
#<alt (/ 1 (cos (* (pow y -1/2) (/ (pow y -1/2) (/ 2 x)))))>
#<alt (cos (* (pow y -1/2) (/ (pow y -1/2) (/ 2 x))))>
#<alt (* (pow y -1/2) (/ (pow y -1/2) (/ 2 x)))>
#<alt (pow y -1/2)>
#<alt (+ 1 (/ (* 1/8 (* x x)) (* y y)))>
#<alt (/ (* 1/8 (* x x)) (* y y))>
#<alt (* 1/8 (* x x))>
#<alt (* x x)>
#<alt (/ (tan (/ x (/ 2 (/ 1 y)))) (sin (/ x (* y 2))))>
#<alt (tan (/ x (/ 2 (/ 1 y))))>
#<alt (/ x (/ 2 (/ 1 y)))>
#<alt (/ 2 (/ 1 y))>
#<alt (/ 1 (cos (exp (* (log (/ y (/ x 2))) -1))))>
#<alt (cos (exp (* (log (/ y (/ x 2))) -1)))>
#<alt (exp (* (log (/ y (/ x 2))) -1))>
#<alt (* (log (/ y (/ x 2))) -1)>
#<alt (/ (tan (pow (pow (/ 1/2 (/ y x)) 1/2) 2)) (sin (/ x (* y 2))))>
#<alt (tan (pow (pow (/ 1/2 (/ y x)) 1/2) 2))>
#<alt (pow (pow (/ 1/2 (/ y x)) 1/2) 2)>
#<alt (pow (/ 1/2 (/ y x)) 1/2)>
#<alt (/ (pow y -1/2) (/ 2 x))>
#<alt (* y y)>
#<alt (sin (/ x (* y 2)))>
#<alt (log (/ y (/ x 2)))>
Outputs
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (* (pow x 4) (pow (sqrt -1) 8))) (* 1/384 (* (pow x 4) (pow (sqrt -1) 8)))) (pow y 4)))) (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (* (pow x 6) (pow (sqrt -1) 12))) (+ (* 1/3072 (* (pow x 6) (pow (sqrt -1) 12))) (* 1/8 (* (pow x 2) (* (pow (sqrt -1) 4) (+ (* -1/64 (* (pow x 4) (pow (sqrt -1) 8))) (* 1/384 (* (pow x 4) (pow (sqrt -1) 8))))))))) (pow y 6)))) (+ (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))) (+ (* -1/64 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4))) (* 1/384 (/ (* (pow x 4) (pow (sqrt -1) 8)) (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 (sqrt -1) 4)) (pow y 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))) (* 1/384 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4)))))>
#<alt (+ 1 (+ (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))) (+ (* -1/46080 (/ (* (pow x 6) (pow (sqrt -1) 12)) (pow y 6))) (* 1/384 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* -1/2 (/ (* x (pow (sqrt -1) 2)) y))>
#<alt (* -1/2 (/ (* x (pow (sqrt -1) 2)) y))>
#<alt (* -1/2 (/ (* x (pow (sqrt -1) 2)) y))>
#<alt (* -1/2 (/ (* x (pow (sqrt -1) 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 (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 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 (* (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>
#<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))))>
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#<alt (* (sqrt (/ x y)) (sqrt 1/2))>
#<alt (* (sqrt (/ x y)) (sqrt 1/2))>
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#<alt (* 1/2 (* x (sqrt (/ 1 y))))>
#<alt (* 1/2 (* x (sqrt (/ 1 y))))>
#<alt (* 1/2 (* x (sqrt (/ 1 y))))>
#<alt (* 1/2 (* x (sqrt (/ 1 y))))>
#<alt (* 1/2 (* x (sqrt (/ 1 y))))>
#<alt (* 1/2 (* x (sqrt (/ 1 y))))>
#<alt (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))>
#<alt (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))>
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#<alt (* 1/2 (* x (sqrt (/ 1 y))))>
#<alt (* 1/2 (* x (sqrt (/ 1 y))))>
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#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* -1/48 (/ (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)))>
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#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* 2 y)) (log (/ 1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>
#<alt (+ (log (* -2 y)) (log (/ -1 x)))>
Calls

129 calls:

TimeVariablePointExpression
22.0ms
y
@0
(/ 1 (cos (exp (* (log (/ y (/ x 2))) -1))))
19.0ms
y
@-inf
(* (log (/ y (/ x 2))) -1)
17.0ms
x
@0
(* (log (/ y (/ x 2))) -1)
16.0ms
y
@-inf
(/ (tan (pow (pow (/ 1/2 (/ y x)) 1/2) 2)) (sin (/ x (* y 2))))
16.0ms
y
@0
(* (log (/ y (/ x 2))) -1)

rewrite385.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
4328×*-lowering-*.f32
4328×*-lowering-*.f64
3912×/-lowering-/.f32
3912×/-lowering-/.f64
1400×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040202
1209151
21237147
08384147
Stop Event
1×iter limit
1×node limit
Counts
24 → 1359
Calls
Call 1
Inputs
(/ 1 (cos (* (pow y -1/2) (/ (pow y -1/2) (/ 2 x)))))
(cos (* (pow y -1/2) (/ (pow y -1/2) (/ 2 x))))
(* (pow y -1/2) (/ (pow y -1/2) (/ 2 x)))
(pow y -1/2)
(+ 1 (/ (* 1/8 (* x x)) (* y y)))
(/ (* 1/8 (* x x)) (* y y))
(* 1/8 (* x x))
(* x x)
(/ (tan (/ x (/ 2 (/ 1 y)))) (sin (/ x (* y 2))))
(tan (/ x (/ 2 (/ 1 y))))
(/ x (/ 2 (/ 1 y)))
(/ 2 (/ 1 y))
(/ 1 (cos (exp (* (log (/ y (/ x 2))) -1))))
(cos (exp (* (log (/ y (/ x 2))) -1)))
(exp (* (log (/ y (/ x 2))) -1))
(* (log (/ y (/ x 2))) -1)
(/ (tan (pow (pow (/ 1/2 (/ y x)) 1/2) 2)) (sin (/ x (* y 2))))
(tan (pow (pow (/ 1/2 (/ y x)) 1/2) 2))
(pow (pow (/ 1/2 (/ y x)) 1/2) 2)
(pow (/ 1/2 (/ y x)) 1/2)
(/ (pow y -1/2) (/ 2 x))
(* y y)
(sin (/ x (* y 2)))
(log (/ y (/ x 2)))
Outputs
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))))))
(pow.f64 (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(*.f64 (/.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) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(*.f64 (pow.f64 (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #s(literal -1 binary64))))
(cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #s(literal 1 binary64)))
(/.f64 (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))))) #s(literal 1 binary64))
(pow.f64 (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal 1 binary64))
(pow.f64 (/.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 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #s(literal -1 binary64))
(exp.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)) (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))))
(fabs.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -2 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(sqrt.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)) (/.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
(/.f64 (/.f64 x #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -2 binary64) x))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 y #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 y #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y #s(literal 1/2 binary64)))
(/.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))
(/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal -2 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -2 binary64) x))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) y))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x #s(literal -2 binary64)))))
(/.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 (/.f64 y x))))
(/.f64 (exp.f64 (log.f64 #s(literal -1/2 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)))))
(/.f64 (neg.f64 (/.f64 x #s(literal 1 binary64))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/2 binary64)))) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (neg.f64 (neg.f64 (/.f64 x y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (/.f64 y #s(literal 1/2 binary64)))
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (*.f64 y #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))) (/.f64 #s(literal 2 binary64) x))
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(pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)) (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
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(*.f64 (neg.f64 (/.f64 x y)) #s(literal -1/2 binary64))
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(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))) (log.f64 (/.f64 x #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 y) (log.f64 (/.f64 x #s(literal 2 binary64))))))) (/.f64 (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 y) (log.f64 (/.f64 x #s(literal 2 binary64))))))))
(-.f64 (/.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (log.f64 (*.f64 y (/.f64 x #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (*.f64 y (/.f64 x #s(literal 2 binary64))))))
(neg.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 y) (log.f64 (/.f64 x #s(literal 2 binary64)))))) (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 y (/.f64 x #s(literal 2 binary64)))) (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 y) (log.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 y (/.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 y) (log.f64 (/.f64 x #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 y (/.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (/.f64 y x)) (log.f64 (/.f64 y x))) (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 (/.f64 y x)) (log.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)) (log.f64 (-.f64 #s(literal 0 binary64) y))) (+.f64 (*.f64 (log.f64 (/.f64 x #s(literal -2 binary64))) (log.f64 (/.f64 x #s(literal -2 binary64)))) (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)) (log.f64 (/.f64 x #s(literal -2 binary64)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(*.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 y) (log.f64 (/.f64 x #s(literal 2 binary64))))))))
(*.f64 (-.f64 (pow.f64 (log.f64 y) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 y (/.f64 x #s(literal 2 binary64))))))

simplify784.0ms (6.6%)

Algorithm
1×egg-herbie
Rules
4762×+-lowering-+.f64
4762×+-lowering-+.f32
3612×*-lowering-*.f32
3612×*-lowering-*.f64
1902×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07958079
126667575
083707575
Stop Event
1×iter limit
1×node limit
Counts
516 → 516
Calls
Call 1
Inputs
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* 1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/64 (* (pow x 4) (pow (sqrt -1) 8))) (* 1/384 (* (pow x 4) (pow (sqrt -1) 8)))) (pow y 4)))) (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (* (pow x 6) (pow (sqrt -1) 12))) (+ (* 1/3072 (* (pow x 6) (pow (sqrt -1) 12))) (* 1/8 (* (pow x 2) (* (pow (sqrt -1) 4) (+ (* -1/64 (* (pow x 4) (pow (sqrt -1) 8))) (* 1/384 (* (pow x 4) (pow (sqrt -1) 8))))))))) (pow y 6)))) (+ (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))) (+ (* -1/64 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4))) (* 1/384 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4))))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))))
(+ 1 (+ (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))) (* 1/384 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4)))))
(+ 1 (+ (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))) (+ (* -1/46080 (/ (* (pow x 6) (pow (sqrt -1) 12)) (pow y 6))) (* 1/384 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4))))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* -1/2 (/ (* x (pow (sqrt -1) 2)) y))
(* -1/2 (/ (* x (pow (sqrt -1) 2)) y))
(* -1/2 (/ (* x (pow (sqrt -1) 2)) y))
(* -1/2 (/ (* x (pow (sqrt -1) 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))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* 1/8 (/ (pow x 2) (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)))))
(* (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)))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* 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)))
(* 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)))
(* 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))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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))
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(* 2 (pow (sqrt 1/2) 2))
(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (* 2 (pow (sqrt 1/2) 2))) (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))))
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(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt 1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt 1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))))))) (* x (pow y 6)))) (+ (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) (* x (pow y 4)))) (* 2 (pow (sqrt 1/2) 2))))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2)))))) (* 1/960 (* (pow x 4) (pow (sqrt 1/2) 2)))))) (pow y 6))) (+ (* -1/161280 (/ (* (pow x 6) (pow (sqrt 1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 6))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4)))))))))
(* -2 (pow (sqrt -1/2) 2))
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (* -2 (pow (sqrt -1/2) 2))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))))
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) (* x (pow y 4)))) (* -2 (pow (sqrt -1/2) 2)))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 4))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt -1/2) 2)) (pow y 4))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))))))
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt -1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt -1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))))))) (* x (pow y 6)))) (+ (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) (* x (pow y 4)))) (* -2 (pow (sqrt -1/2) 2))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2)))))) (* -1/960 (* (pow x 4) (pow (sqrt -1/2) 2)))))) (pow y 6))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt -1/2) 2)) (pow y 4))) (+ (* 1/161280 (/ (* (pow x 6) (pow (sqrt -1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 6))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2)))))))))
(* 2 (pow (sqrt 1/2) 2))
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))))
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))))
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (+ (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* (pow x 2) (- (* 2 (* y (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))) (pow y 2))) (+ (* -1/161280 (/ (pow (sqrt 1/2) 2) (pow y 6))) (* 1/1920 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (* (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (* (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (sin (* 1/2 (/ x y)))))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (* (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (sin (* 1/2 (/ x y)))))
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(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
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(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* x (pow (sqrt 1/2) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2)))) y)
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4)))))) y)
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))))) (pow y 6))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 6))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))))))))) y)
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* x (pow (sqrt -1/2) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2)))) y))
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* 1/24 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4)))))) y))
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt -1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))))) (pow y 6))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt -1/2) 14)) (pow y 6))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 6))) (* 1/24 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))))))))) y))
(/ (* x (pow (sqrt 1/2) 2)) y)
(* x (+ (* (pow x 2) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (- (+ (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (* (pow x 2) (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))
(/ (sin (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))))
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(* (sqrt (/ x y)) (sqrt 1/2))
(* (sqrt (/ x y)) (sqrt 1/2))
(* (sqrt (/ x y)) (sqrt 1/2))
(* (sqrt (/ x y)) (sqrt 1/2))
(* (sqrt (/ x y)) (sqrt 1/2))
(* (sqrt (/ x y)) (sqrt 1/2))
(* (sqrt (/ x y)) (sqrt 1/2))
(* (sqrt (/ x y)) (sqrt 1/2))
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ x y)) (sqrt 1/2))
(* (sqrt (/ x y)) (sqrt 1/2))
(* (sqrt (/ x y)) (sqrt 1/2))
(* (sqrt (/ x y)) (sqrt 1/2))
(* (sqrt (/ x y)) (sqrt 1/2))
(* (sqrt (/ x y)) (sqrt 1/2))
(* (sqrt (/ x y)) (sqrt 1/2))
(* (sqrt (/ x y)) (sqrt 1/2))
(* -1 (* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))))
(* -1 (* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))))
(* -1 (* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))))
(* -1 (* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))))
(* 1/2 (* x (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 y))))
(* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))
(* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))
(* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))
(* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 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)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 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))
(+ (log y) (log (/ 2 x)))
(+ (log y) (log (/ 2 x)))
(+ (log y) (log (/ 2 x)))
(+ (log y) (log (/ 2 x)))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(+ (log (* 2 y)) (* -1 (log x)))
(+ (log (* 2 y)) (* -1 (log x)))
(+ (log (* 2 y)) (* -1 (log x)))
(+ (log (* 2 y)) (* -1 (log x)))
(+ (log (* 2 y)) (log (/ 1 x)))
(+ (log (* 2 y)) (log (/ 1 x)))
(+ (log (* 2 y)) (log (/ 1 x)))
(+ (log (* 2 y)) (log (/ 1 x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+ (log (* -2 y)) (log (/ -1 x)))
Outputs
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -5/384 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 y y))))
(- (+ 1 (* -1 (/ (+ (* -1/64 (* (pow x 4) (pow (sqrt -1) 8))) (* 1/384 (* (pow x 4) (pow (sqrt -1) 8)))) (pow y 4)))) (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 y y))))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (* (pow x 6) (pow (sqrt -1) 12))) (+ (* 1/3072 (* (pow x 6) (pow (sqrt -1) 12))) (* 1/8 (* (pow x 2) (* (pow (sqrt -1) 4) (+ (* -1/64 (* (pow x 4) (pow (sqrt -1) 8))) (* 1/384 (* (pow x 4) (pow (sqrt -1) 8))))))))) (pow y 6)))) (+ (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))) (+ (* -1/64 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4))) (* 1/384 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4))))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 12 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 7/23040 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)))))) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 y y))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -5/384 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 5/384 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 61/46080 binary64) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))))))))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/384 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y)) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/384 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal -1/46080 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))))
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(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) y) (/.f64 #s(literal -1/48 binary64) 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 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y y)) (*.f64 x #s(literal -1/2 binary64))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.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)))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #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)))) (neg.f64 y))
(+ (log y) (log (/ 2 x)))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log y) (log (/ 2 x)))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log y) (log (/ 2 x)))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log y) (log (/ 2 x)))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ 2 x)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (/ -2 x)) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* 2 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* 2 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* 2 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* 2 y)) (* -1 (log x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* 2 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* 2 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* 2 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* 2 y)) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (*.f64 y #s(literal -2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (*.f64 y #s(literal -2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (*.f64 y #s(literal -2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (* -2 y)) (log (/ -1 x)))
(+.f64 (log.f64 (*.f64 y #s(literal -2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x)))

eval383.0ms (3.2%)

Compiler

Compiled 35097 to 4064 computations (88.4% saved)

prune341.0ms (2.9%)

Pruning

96 alts after pruning (90 fresh and 6 done)

PrunedKeptTotal
New1890381928
Fresh135265
Picked235
Done033
Total1905962001
Accuracy
65.1%
Counts
2001 → 96
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.5%
(pow.f64 (*.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64))
▶32.4%
(/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 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)))))) #s(literal -1/2 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.8%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
23.5%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) #s(literal 0 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.4%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.5%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.7%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.4%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.1%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
▶47.0%
(/.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)))))
47.0%
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
7.8%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
7.8%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
33.0%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
8.4%
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.1%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.6%
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.1%
(/.f64 (tan.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.9%
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.5%
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
29.9%
(/.f64 (tan.f64 (/.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.6%
(/.f64 (tan.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.2%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
46.4%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
✓48.0%
(/.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)))))
46.6%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (neg.f64 (sin.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
34.0%
(/.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)))))
27.3%
(/.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)))))
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)))))
43.8%
(/.f64 (tan.f64 (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 y))) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓48.5%
(/.f64 (tan.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.6%
(/.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))))
7.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
43.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
48.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
34.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))))
21.6%
(/.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)))))))))
26.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))))
18.8%
(/.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) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))))
25.8%
(/.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) (*.f64 x x))) x)))
44.0%
(/.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)))))))
47.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
25.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 y #s(literal 1/2 binary64)))))
43.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
44.2%
(/.f64 (tan.f64 (/.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.7%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶2.8%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.8%
(/.f64 (tan.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.3%
(/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.9%
(/.f64 (tan.f64 (*.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)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
48.1%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.5%
(/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y))) (exp.f64 (log.f64 x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.2%
(/.f64 (tan.f64 (exp.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.1%
(/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))
47.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.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)))))))
48.6%
(/.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))))))
46.4%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
▶59.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64))))
58.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
58.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))
58.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))))))
58.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))))
58.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) y)))
58.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
✓58.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
57.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) y)))
58.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 (/.f64 y x))))))
58.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))))
58.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
58.5%
(/.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)))))
58.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
58.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
57.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))))))
58.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))))))
58.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x))))))
58.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y)) (/.f64 #s(literal 2 binary64) x)))))
✓58.8%
(/.f64 #s(literal 1 binary64) (cos.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)))))
58.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))) #s(literal -1 binary64))))))
58.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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)))))
58.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))))))
58.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
58.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1/2 binary64) y))))
58.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
58.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y))) (exp.f64 (log.f64 x)))))
58.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 (/.f64 x y))))))
58.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (-.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (log.f64 y)))))
58.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 y #s(literal 1/2 binary64)))))))
58.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
45.7%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
✓45.7%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
▶53.3%
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 x y)))
47.1%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
47.0%
(*.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)))))
47.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
55.0%
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1 binary64)))
✓56.4%
#s(literal 1 binary64)
Compiler

Compiled 3662 to 2599 computations (29% saved)

simplify21.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 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))))))
✓cost-diff128
(pow.f64 (*.f64 (/.f64 #s(literal 1 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)))))) #s(literal -1/2 binary64))
✓cost-diff128
(/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 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)))))) #s(literal -1/2 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓cost-diff0
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
✓cost-diff0
(tan.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
✓cost-diff0
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 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-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
✓cost-diff256
(/.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-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
(pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/4 binary64))
✓cost-diff0
(pow.f64 (pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64))
✓cost-diff0
(cos.f64 (pow.f64 (pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64))))
Rules
190×*-lowering-*.f32
190×*-lowering-*.f64
118×/-lowering-/.f32
118×/-lowering-/.f64
64×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039315
173311
2117311
3184311
4222311
5231311
6239311
7245311
8247311
0247311
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (cos (pow (pow (/ y (/ x 2)) -1/4) 4)))
1
(cos (pow (pow (/ y (/ x 2)) -1/4) 4))
(pow (pow (/ y (/ x 2)) -1/4) 4)
(pow (/ y (/ x 2)) -1/4)
(/ y (/ x 2))
y
(/ x 2)
x
2
-1/4
4
(+ 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 (/ 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
(/ (tan (* (pow (/ (/ 1 x) x) -1/2) (/ -1/2 y))) (sin (/ x (* y 2))))
(tan (* (pow (/ (/ 1 x) x) -1/2) (/ -1/2 y)))
(* (pow (/ (/ 1 x) x) -1/2) (/ -1/2 y))
(pow (/ (/ 1 x) x) -1/2)
(/ (/ 1 x) x)
(/ 1 x)
1
x
-1/2
(/ -1/2 y)
y
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
2
(/ (pow (* (/ 1 (tan (/ x (/ y 1/2)))) (/ 1 (tan (/ x (/ y 1/2))))) -1/2) (sin (/ x (* y 2))))
(pow (* (/ 1 (tan (/ x (/ y 1/2)))) (/ 1 (tan (/ x (/ y 1/2))))) -1/2)
(* (/ 1 (tan (/ x (/ y 1/2)))) (/ 1 (tan (/ x (/ y 1/2)))))
(/ 1 (tan (/ x (/ y 1/2))))
1
(tan (/ x (/ y 1/2)))
(/ x (/ y 1/2))
x
(/ y 1/2)
y
1/2
-1/2
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
2
Outputs
(/ 1 (cos (pow (pow (/ y (/ x 2)) -1/4) 4)))
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64))))
1
#s(literal 1 binary64)
(cos (pow (pow (/ y (/ x 2)) -1/4) 4))
(cos.f64 (pow.f64 (pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(pow (pow (/ y (/ x 2)) -1/4) 4)
(pow.f64 (pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow (/ y (/ x 2)) -1/4)
(pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/4 binary64))
(/ y (/ x 2))
(/.f64 y (/.f64 x #s(literal 2 binary64)))
y
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
-1/4
#s(literal -1/4 binary64)
4
#s(literal 4 binary64)
(+ 1 (* (/ (* x 1/8) y) (/ x y)))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/8 binary64))) y) y))
1
#s(literal 1 binary64)
(* (/ (* x 1/8) y) (/ x y))
(/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/8 binary64))) y) y)
(/ (* x 1/8) y)
(/.f64 (*.f64 x #s(literal 1/8 binary64)) y)
(* x 1/8)
(*.f64 x #s(literal 1/8 binary64))
x
1/8
#s(literal 1/8 binary64)
y
(/ x y)
(/.f64 x y)
(/ (/ 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 (/.f64 x y) #s(literal 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 (/.f64 x y) #s(literal 2 binary64)))
(/ x (* y 2))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(* y 2)
(*.f64 y #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (tan (* (pow (/ (/ 1 x) x) -1/2) (/ -1/2 y))) (sin (/ x (* y 2))))
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(tan (* (pow (/ (/ 1 x) x) -1/2) (/ -1/2 y)))
(tan.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
(* (pow (/ (/ 1 x) x) -1/2) (/ -1/2 y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(pow (/ (/ 1 x) x) -1/2)
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(/ (/ 1 x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
-1/2
#s(literal -1/2 binary64)
(/ -1/2 y)
(/.f64 #s(literal -1/2 binary64) y)
y
(sin (/ x (* y 2)))
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/ x (* y 2))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(* y 2)
(*.f64 y #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (pow (* (/ 1 (tan (/ x (/ y 1/2)))) (/ 1 (tan (/ x (/ y 1/2))))) -1/2) (sin (/ x (* y 2))))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.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)) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))
(pow (* (/ 1 (tan (/ x (/ y 1/2)))) (/ 1 (tan (/ x (/ y 1/2))))) -1/2)
(pow.f64 (/.f64 #s(literal 1 binary64) (*.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))
(* (/ 1 (tan (/ x (/ y 1/2)))) (/ 1 (tan (/ x (/ y 1/2)))))
(/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (tan.f64 (/.f64 x (/.f64 y #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)))))
1
#s(literal 1 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)
-1/2
#s(literal -1/2 binary64)
(sin (/ x (* y 2)))
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/ x (* y 2))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(* y 2)
(*.f64 y #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize385.0ms (3.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy90.3%
(/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 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)))))) #s(literal -1/2 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy85.6%
(pow.f64 (*.f64 (/.f64 #s(literal 1 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)))))) #s(literal -1/2 binary64))
✓accuracy58.3%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy58.0%
(tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
✓accuracy90.1%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy58.3%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy58.0%
(tan.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y)))
✓accuracy55.2%
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64))
✓accuracy98.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
✓accuracy90.3%
(/.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)))))
✓accuracy58.3%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy58.0%
(tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
✓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))
✓accuracy100.0%
(/.f64 (*.f64 x #s(literal 1/8 binary64)) y)
✓accuracy99.6%
(*.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 x y))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64))))
✓accuracy98.8%
(pow.f64 (pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64))
✓accuracy80.8%
(pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/4 binary64))
✓accuracy58.5%
(cos.f64 (pow.f64 (pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
Results
195.0ms116×1valid
114.0ms140×0valid
Compiler

Compiled 341 to 40 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 194.0ms
ival-pow: 65.0ms (33.5% of total)
ival-tan: 49.0ms (25.3% of total)
ival-div: 39.0ms (20.1% of total)
ival-mult: 15.0ms (7.7% of total)
backward-pass: 9.0ms (4.6% of total)
ival-sin: 8.0ms (4.1% of total)
ival-cos: 7.0ms (3.6% of total)
const: 2.0ms (1% of total)
ival-add: 2.0ms (1% of total)

series191.0ms (1.6%)

Counts
20 → 456
Calls
Call 1
Inputs
#<alt (/ 1 (cos (pow (pow (/ y (/ x 2)) -1/4) 4)))>
#<alt (cos (pow (pow (/ y (/ x 2)) -1/4) 4))>
#<alt (pow (pow (/ y (/ x 2)) -1/4) 4)>
#<alt (pow (/ y (/ x 2)) -1/4)>
#<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 (/ 1 (tan (/ x (/ y 1/2))))) (sin (/ x (* y 2))))>
#<alt (/ 1 (/ 1 (tan (/ x (/ y 1/2)))))>
#<alt (/ 1 (tan (/ x (/ y 1/2))))>
#<alt (tan (/ x (/ y 1/2)))>
#<alt (/ (tan (* (pow (/ (/ 1 x) x) -1/2) (/ -1/2 y))) (sin (/ x (* y 2))))>
#<alt (tan (* (pow (/ (/ 1 x) x) -1/2) (/ -1/2 y)))>
#<alt (* (pow (/ (/ 1 x) x) -1/2) (/ -1/2 y))>
#<alt (pow (/ (/ 1 x) x) -1/2)>
#<alt (/ (pow (* (/ 1 (tan (/ x (/ y 1/2)))) (/ 1 (tan (/ x (/ y 1/2))))) -1/2) (sin (/ x (* y 2))))>
#<alt (pow (* (/ 1 (tan (/ x (/ y 1/2)))) (/ 1 (tan (/ x (/ y 1/2))))) -1/2)>
#<alt (* (/ 1 (tan (/ x (/ y 1/2)))) (/ 1 (tan (/ x (/ y 1/2)))))>
#<alt (sin (/ x (* y 2)))>
Outputs
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (exp (* 1/4 (+ (log (* 1/2 x)) (* -1 (log y)))))>
#<alt (exp (* 1/4 (+ (log (* 1/2 x)) (* -1 (log y)))))>
#<alt (exp (* 1/4 (+ (log (* 1/2 x)) (* -1 (log y)))))>
#<alt (exp (* 1/4 (+ (log (* 1/2 x)) (* -1 (log y)))))>
#<alt (exp (* 1/4 (+ (log (* 1/2 x)) (log (/ 1 y)))))>
#<alt (exp (* 1/4 (+ (log (* 1/2 x)) (log (/ 1 y)))))>
#<alt (exp (* 1/4 (+ (log (* 1/2 x)) (log (/ 1 y)))))>
#<alt (exp (* 1/4 (+ (log (* 1/2 x)) (log (/ 1 y)))))>
#<alt (exp (* 1/4 (+ (log (* -1/2 x)) (log (/ -1 y)))))>
#<alt (exp (* 1/4 (+ (log (* -1/2 x)) (log (/ -1 y)))))>
#<alt (exp (* 1/4 (+ (log (* -1/2 x)) (log (/ -1 y)))))>
#<alt (exp (* 1/4 (+ (log (* -1/2 x)) (log (/ -1 y)))))>
#<alt (exp (* 1/4 (+ (log x) (log (/ 1/2 y)))))>
#<alt (exp (* 1/4 (+ (log x) (log (/ 1/2 y)))))>
#<alt (exp (* 1/4 (+ (log x) (log (/ 1/2 y)))))>
#<alt (exp (* 1/4 (+ (log x) (log (/ 1/2 y)))))>
#<alt (exp (* 1/4 (+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))))>
#<alt (exp (* 1/4 (+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))))>
#<alt (exp (* 1/4 (+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))))>
#<alt (exp (* 1/4 (+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))))>
#<alt (exp (* 1/4 (+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/4 (+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/4 (+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))))>
#<alt (exp (* 1/4 (+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ x 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))))))>
#<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))>
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#<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 (* 4 (/ (pow y 2) (pow x 2)))>
#<alt (/ (+ (* -2/3 (pow x 2)) (* 4 (pow y 2))) (pow x 2))>
#<alt (/ (+ (* 4 (pow y 2)) (* (pow x 2) (- (* 1/60 (/ (pow x 2) (pow y 2))) 2/3))) (pow x 2))>
#<alt (/ (+ (* 4 (pow y 2)) (* (pow x 2) (- (* (pow x 2) (+ (* 1/1512 (/ (pow x 2) (pow y 4))) (* 1/60 (/ 1 (pow y 2))))) 2/3))) (pow x 2))>
#<alt (/ (pow (cos (* 1/2 (/ x y))) 2) (pow (sin (* 1/2 (/ x y))) 2))>
#<alt (/ (pow (cos (* 1/2 (/ x y))) 2) (pow (sin (* 1/2 (/ x y))) 2))>
#<alt (/ (pow (cos (* 1/2 (/ x y))) 2) (pow (sin (* 1/2 (/ x y))) 2))>
#<alt (/ (pow (cos (* 1/2 (/ x y))) 2) (pow (sin (* 1/2 (/ x y))) 2))>
#<alt (/ (pow (cos (* 1/2 (/ x y))) 2) (pow (sin (* 1/2 (/ x y))) 2))>
#<alt (/ (pow (cos (* 1/2 (/ x y))) 2) (pow (sin (* 1/2 (/ x y))) 2))>
#<alt (/ (pow (cos (* 1/2 (/ x y))) 2) (pow (sin (* 1/2 (/ x y))) 2))>
#<alt (/ (pow (cos (* 1/2 (/ x y))) 2) (pow (sin (* 1/2 (/ x y))) 2))>
#<alt (/ (pow (cos (* 1/2 (/ x y))) 2) (pow (sin (* 1/2 (/ x y))) 2))>
#<alt (/ (pow (cos (* 1/2 (/ x y))) 2) (pow (sin (* 1/2 (/ x y))) 2))>
#<alt (/ (pow (cos (* 1/2 (/ x y))) 2) (pow (sin (* 1/2 (/ x y))) 2))>
#<alt (/ (pow (cos (* 1/2 (/ x y))) 2) (pow (sin (* 1/2 (/ x y))) 2))>
#<alt (* 4 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -16 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* (pow x 3) (pow y 2)))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (+ (* -1 (/ (+ (* -64 (/ (pow (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) 2) (pow x 4))) (* 16 (/ (+ (* x (- (* 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 (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) 2)) (pow x 4)))) (pow y 4))) (* 4 (/ 1 (pow x 2)))) (* 16 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* (pow x 3) (pow y 2))))))>
#<alt (* (pow y 2) (- (+ (* -1 (/ (+ (* -64 (/ (* (+ (* x (- (* 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 (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) 2)) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow x 5))) (+ (* -4 (/ (* (+ (* -64 (/ (pow (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) 2) (pow x 4))) (* 16 (/ (+ (* x (- (* 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 (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) 2)) (pow x 4)))) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) x)) (* 16 (/ (+ (* 2 (* (- (* -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)))))) (* x (- (* -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 4))))) (pow y 6))) (* 4 (/ 1 (pow x 2)))) (+ (* -64 (/ (pow (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) 2) (* (pow x 4) (pow y 4)))) (+ (* 16 (/ (+ (* x (- (* 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 (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) 2)) (* (pow x 4) (pow y 4)))) (* 16 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* (pow x 3) (pow y 2))))))))>
#<alt (* 4 (/ (pow y 2) (pow x 2)))>
#<alt (* (pow y 2) (+ (* 16 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* (pow x 3) (pow y 2)))) (* 4 (/ 1 (pow x 2)))))>
#<alt (* (pow y 2) (- (+ (* -1 (/ (+ (* -64 (/ (pow (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2) (pow x 4))) (* 16 (/ (+ (* -1 (* x (- (* -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 (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2)) (pow x 4)))) (pow y 4))) (* 4 (/ 1 (pow x 2)))) (* -16 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* (pow x 3) (pow y 2))))))>
#<alt (* (pow y 2) (- (+ (* -1 (/ (+ (* 4 (/ (* (+ (* -64 (/ (pow (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2) (pow x 4))) (* 16 (/ (+ (* -1 (* x (- (* -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 (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2)) (pow x 4)))) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) x)) (+ (* 16 (/ (+ (* -1 (* x (- (* 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)))))))))) (* 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)))) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))) (pow x 4))) (* 64 (/ (* (+ (* -1 (* x (- (* -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 (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2)) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow x 5))))) (pow y 6))) (* 4 (/ 1 (pow x 2)))) (+ (* -64 (/ (pow (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2) (* (pow x 4) (pow y 4)))) (+ (* -16 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* (pow x 3) (pow y 2)))) (* 16 (/ (+ (* -1 (* x (- (* -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 (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2)) (* (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

114 calls:

TimeVariablePointExpression
70.0ms
y
@0
(pow (/ y (/ x 2)) -1/4)
20.0ms
x
@-inf
(pow (/ y (/ x 2)) -1/4)
17.0ms
x
@-inf
(* (/ 1 (tan (/ x (/ y 1/2)))) (/ 1 (tan (/ x (/ y 1/2)))))
17.0ms
x
@0
(pow (/ y (/ x 2)) -1/4)
16.0ms
y
@-inf
(pow (/ y (/ x 2)) -1/4)

rewrite420.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
4428×*-lowering-*.f32
4428×*-lowering-*.f64
2190×/-lowering-/.f32
2190×/-lowering-/.f64
918×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039162
1222146
21258122
08885122
Stop Event
1×iter limit
1×node limit
Counts
20 → 842
Calls
Call 1
Inputs
(/ 1 (cos (pow (pow (/ y (/ x 2)) -1/4) 4)))
(cos (pow (pow (/ y (/ x 2)) -1/4) 4))
(pow (pow (/ y (/ x 2)) -1/4) 4)
(pow (/ y (/ x 2)) -1/4)
(+ 1 (* (/ (* x 1/8) y) (/ x y)))
(* (/ (* x 1/8) y) (/ x y))
(/ (* x 1/8) y)
(* x 1/8)
(/ (/ 1 (/ 1 (tan (/ x (/ y 1/2))))) (sin (/ x (* y 2))))
(/ 1 (/ 1 (tan (/ x (/ y 1/2)))))
(/ 1 (tan (/ x (/ y 1/2))))
(tan (/ x (/ y 1/2)))
(/ (tan (* (pow (/ (/ 1 x) x) -1/2) (/ -1/2 y))) (sin (/ x (* y 2))))
(tan (* (pow (/ (/ 1 x) x) -1/2) (/ -1/2 y)))
(* (pow (/ (/ 1 x) x) -1/2) (/ -1/2 y))
(pow (/ (/ 1 x) x) -1/2)
(/ (pow (* (/ 1 (tan (/ x (/ y 1/2)))) (/ 1 (tan (/ x (/ y 1/2))))) -1/2) (sin (/ x (* y 2))))
(pow (* (/ 1 (tan (/ x (/ y 1/2)))) (/ 1 (tan (/ x (/ y 1/2))))) -1/2)
(* (/ 1 (tan (/ x (/ y 1/2)))) (/ 1 (tan (/ x (/ y 1/2)))))
(sin (/ x (* y 2)))
Outputs
(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))))))
(-.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 (/.f64 #s(literal 0 binary64) (-.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))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(neg.f64 (/.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 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (tan.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) (/.f64 (*.f64 (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 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))) (/.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)))))
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
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(*.f64 (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))
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(*.f64 (/.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))))) (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 1/2 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 #s(literal 2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sqrt.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (/.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(*.f64 (/.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)) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (pow.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
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(*.f64 (*.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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))
(*.f64 (*.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)))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.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 -1/2 binary64))) (pow.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 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 (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))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))

simplify453.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
5448×*-lowering-*.f32
5448×*-lowering-*.f64
4170×+-lowering-+.f64
4170×+-lowering-+.f32
1626×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07449101
124428950
082398950
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
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(* 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))
(exp (* 1/4 (+ (log (* 1/2 x)) (* -1 (log y)))))
(exp (* 1/4 (+ (log (* 1/2 x)) (* -1 (log y)))))
(exp (* 1/4 (+ (log (* 1/2 x)) (* -1 (log y)))))
(exp (* 1/4 (+ (log (* 1/2 x)) (* -1 (log y)))))
(exp (* 1/4 (+ (log (* 1/2 x)) (log (/ 1 y)))))
(exp (* 1/4 (+ (log (* 1/2 x)) (log (/ 1 y)))))
(exp (* 1/4 (+ (log (* 1/2 x)) (log (/ 1 y)))))
(exp (* 1/4 (+ (log (* 1/2 x)) (log (/ 1 y)))))
(exp (* 1/4 (+ (log (* -1/2 x)) (log (/ -1 y)))))
(exp (* 1/4 (+ (log (* -1/2 x)) (log (/ -1 y)))))
(exp (* 1/4 (+ (log (* -1/2 x)) (log (/ -1 y)))))
(exp (* 1/4 (+ (log (* -1/2 x)) (log (/ -1 y)))))
(exp (* 1/4 (+ (log x) (log (/ 1/2 y)))))
(exp (* 1/4 (+ (log x) (log (/ 1/2 y)))))
(exp (* 1/4 (+ (log x) (log (/ 1/2 y)))))
(exp (* 1/4 (+ (log x) (log (/ 1/2 y)))))
(exp (* 1/4 (+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))))
(exp (* 1/4 (+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))))
(exp (* 1/4 (+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))))
(exp (* 1/4 (+ (log (/ 1/2 y)) (* -1 (log (/ 1 x))))))
(exp (* 1/4 (+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log (/ -1/2 y)) (* -1 (log (/ -1 x))))))
1
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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))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/ (+ (* 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)))
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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)))
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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 (/ x y))
(* 1/8 (/ x y))
(* 1/8 (/ x y))
(* 1/8 (/ x y))
(* 1/8 (/ x y))
(* 1/8 (/ x y))
(* 1/8 (/ x y))
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(* 1/8 x)
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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
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x
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1
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(* 4 (/ (pow y 2) (pow x 2)))
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(/ (pow (cos (* 1/2 (/ x y))) 2) (pow (sin (* 1/2 (/ x y))) 2))
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(/ (pow (cos (* 1/2 (/ x y))) 2) (pow (sin (* 1/2 (/ x y))) 2))
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(* 4 (/ (pow y 2) (pow x 2)))
(* (pow y 2) (+ (* -16 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* (pow x 3) (pow y 2)))) (* 4 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -64 (/ (pow (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) 2) (pow x 4))) (* 16 (/ (+ (* x (- (* 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 (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) 2)) (pow x 4)))) (pow y 4))) (* 4 (/ 1 (pow x 2)))) (* 16 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* (pow x 3) (pow y 2))))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -64 (/ (* (+ (* x (- (* 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 (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) 2)) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow x 5))) (+ (* -4 (/ (* (+ (* -64 (/ (pow (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) 2) (pow x 4))) (* 16 (/ (+ (* x (- (* 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 (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) 2)) (pow x 4)))) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) x)) (* 16 (/ (+ (* 2 (* (- (* -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)))))) (* x (- (* -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 4))))) (pow y 6))) (* 4 (/ 1 (pow x 2)))) (+ (* -64 (/ (pow (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) 2) (* (pow x 4) (pow y 4)))) (+ (* 16 (/ (+ (* x (- (* 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 (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) 2)) (* (pow x 4) (pow y 4)))) (* 16 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* (pow x 3) (pow y 2))))))))
(* 4 (/ (pow y 2) (pow x 2)))
(* (pow y 2) (+ (* 16 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* (pow x 3) (pow y 2)))) (* 4 (/ 1 (pow x 2)))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* -64 (/ (pow (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2) (pow x 4))) (* 16 (/ (+ (* -1 (* x (- (* -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 (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2)) (pow x 4)))) (pow y 4))) (* 4 (/ 1 (pow x 2)))) (* -16 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* (pow x 3) (pow y 2))))))
(* (pow y 2) (- (+ (* -1 (/ (+ (* 4 (/ (* (+ (* -64 (/ (pow (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2) (pow x 4))) (* 16 (/ (+ (* -1 (* x (- (* -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 (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2)) (pow x 4)))) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) x)) (+ (* 16 (/ (+ (* -1 (* x (- (* 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)))))))))) (* 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)))) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))) (pow x 4))) (* 64 (/ (* (+ (* -1 (* x (- (* -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 (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2)) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow x 5))))) (pow y 6))) (* 4 (/ 1 (pow x 2)))) (+ (* -64 (/ (pow (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2) (* (pow x 4) (pow y 4)))) (+ (* -16 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* (pow x 3) (pow y 2)))) (* 16 (/ (+ (* -1 (* x (- (* -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 (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) 2)) (* (pow x 4) (pow y 4))))))))
(* 1/2 (/ x 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))))
(* 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)))
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(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))
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Outputs
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(/ 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)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
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(/.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 #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)))) (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))

eval221.0ms (1.9%)

Compiler

Compiled 41562 to 3551 computations (91.5% saved)

prune278.0ms (2.3%)

Pruning

98 alts after pruning (90 fresh and 8 done)

PrunedKeptTotal
New1603271630
Fresh226385
Picked235
Done156
Total1628981726
Accuracy
66.2%
Counts
1726 → 98
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.5%
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) #s(literal -1/2 binary64))
56.5%
(pow.f64 (*.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64))
46.8%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
23.5%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) #s(literal 0 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.4%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.5%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.7%
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓47.0%
(/.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)))))
47.1%
(/.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))))))
4.5%
(/.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 x (/.f64 y #s(literal -1/2 binary64))))))
7.8%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
7.8%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
33.0%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
8.4%
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.1%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.1%
(/.f64 (tan.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.9%
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.5%
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
46.4%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
46.6%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (neg.f64 (sin.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
34.0%
(/.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)))))
27.3%
(/.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)))))
43.8%
(/.f64 (tan.f64 (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 y))) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓48.5%
(/.f64 (tan.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
7.6%
(/.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))))
7.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
48.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
34.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))))
21.6%
(/.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)))))))))
26.1%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))))
18.8%
(/.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) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))))
25.8%
(/.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) (*.f64 x x))) x)))
44.0%
(/.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)))))))
43.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
46.7%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.6%
(/.f64 (tan.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.7%
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.2%
(/.f64 (tan.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.5%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
2.9%
(/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.8%
(/.f64 (tan.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.4%
(/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 x))) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.3%
(/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.3%
(/.f64 (tan.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 y #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.9%
(/.f64 (tan.f64 (*.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)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
48.1%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.6%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.1%
(/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
2.1%
(/.f64 (tan.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x))) #s(literal -1/4 binary64))) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.5%
(/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y))) (exp.f64 (log.f64 x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
3.9%
(/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.2%
(/.f64 (tan.f64 (exp.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
47.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.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)))))))
46.4%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
58.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1/8 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))))
✓59.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64))))
58.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1/8 binary64)) #s(literal 8 binary64))))
58.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)))) #s(literal 4 binary64))))
58.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 4 binary64))))
57.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) #s(literal -1/2 binary64))))
58.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y))))) #s(literal 4 binary64))))
57.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)))))))
58.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))
58.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))))))
58.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))))
58.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) y)))
58.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
✓58.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
57.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) y)))
58.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 (/.f64 y x))))))
58.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))))
58.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x y)))))
58.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
58.5%
(/.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)))))
58.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 4 binary64)))))
58.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
58.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
57.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))))))
58.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y)) (/.f64 #s(literal 2 binary64) x)))))
✓58.8%
(/.f64 #s(literal 1 binary64) (cos.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)))))
58.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))) #s(literal -1 binary64))))))
58.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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)))))
58.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))))))
58.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
58.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
58.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y))) (exp.f64 (log.f64 x)))))
58.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 (/.f64 x y))))))
58.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (-.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (log.f64 y)))))
58.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 y #s(literal 1/2 binary64)))))))
58.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
4.7%
(/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
✓45.7%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
✓53.3%
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 x y)))
47.0%
(*.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)))))
4.5%
(*.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)))))
52.6%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 x y) (/.f64 (/.f64 x y) (/.f64 y x)))) (*.f64 (/.f64 x y) (/.f64 (/.f64 x y) (/.f64 y x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 y x)) (+.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 y (/.f64 x y))) #s(literal -1 binary64)))))))
✓56.4%
#s(literal 1 binary64)
7.4%
#s(literal -1 binary64)
Compiler

Compiled 4813 to 2025 computations (57.9% saved)

regimes235.0ms (2%)

Counts
160 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.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 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 x y) (/.f64 (/.f64 x y) (/.f64 y x)))) (*.f64 (/.f64 x y) (/.f64 (/.f64 x y) (/.f64 y x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 y x)) (+.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 y (/.f64 x y))) #s(literal -1 binary64)))))))
(/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 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 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 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 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y #s(literal 1/2 binary64))))))
(/.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 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 y (*.f64 y y))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))
(/.f64 (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 (/.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 #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 #s(literal 1 binary64) (cos.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) #s(literal -1/2 binary64))))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (tan.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 (/.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 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (tan.f64 (/.f64 x (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (neg.f64 (sin.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 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) (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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.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 (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 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))))
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (/.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 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 (-.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 (tan.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))))
(/.f64 (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)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1/8 binary64)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.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) (cos.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))))
(pow.f64 (*.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.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 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))) y)))
(/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))
(/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(/.f64 (tan.f64 (pow.f64 (*.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)) (/.f64 (/.f64 y x) #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 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.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))))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(/.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 (exp.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 y #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (-.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (log.f64 y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y))))) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1/8 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (tan.f64 (exp.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #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 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(/.f64 (tan.f64 (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 y))) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x))))))
(/.f64 (exp.f64 (neg.f64 (log.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 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 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 y #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (*.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)))) (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 -1/2 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 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x))) #s(literal -1/4 binary64))) (/.f64 #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)))) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 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)))))) #s(literal -1/2 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))
(/.f64 (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 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))))
(/.f64 (/.f64 (/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal -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 (-.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 #s(literal 1/2 binary64) (/.f64 y x))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 (/.f64 x y))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y))) (exp.f64 (log.f64 x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 (/.f64 y x))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)))) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y)) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) #s(literal 4 binary64)))))
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 x #s(literal 2 binary64))) (sqrt.f64 y)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))) #s(literal -1 binary64))))))
(/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 x))) (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 2 binary64)) #s(literal 0 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
(/.f64 (/.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (*.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y))) (exp.f64 (log.f64 x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 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)))))) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))))))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 3 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) (*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)) (/.f64 (+.f64 (sin.f64 (/.f64 x y)) (sin.f64 #s(literal 0 binary64))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))))
#s(literal -1 binary64)
Calls

5 calls:

48.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
47.0ms
(*.f64 y #s(literal 2 binary64))
46.0ms
y
45.0ms
x
41.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
59.0%1x
59.0%1y
59.0%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
61.0%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
59.0%1(*.f64 y #s(literal 2 binary64))
Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes41.0ms (0.3%)

Counts
17 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.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 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 x y) (/.f64 (/.f64 x y) (/.f64 y x)))) (*.f64 (/.f64 x y) (/.f64 (/.f64 x y) (/.f64 y x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 y x)) (+.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 y (/.f64 x y))) #s(literal -1 binary64)))))))
(/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 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 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 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 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y #s(literal 1/2 binary64))))))
(/.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)))))
Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) y)))
Calls

2 calls:

34.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
58.7%1x
58.7%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
14 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.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 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 x y) (/.f64 (/.f64 x y) (/.f64 y x)))) (*.f64 (/.f64 x y) (/.f64 (/.f64 x y) (/.f64 y x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 y x)) (+.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 y (/.f64 x y))) #s(literal -1 binary64)))))))
(/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 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 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
Calls

2 calls:

5.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
58.4%1y
58.4%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.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 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 x y) (/.f64 (/.f64 x y) (/.f64 y x)))) (*.f64 (/.f64 x y) (/.f64 (/.f64 x y) (/.f64 y x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 y x)) (+.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 y (/.f64 x y))) #s(literal -1 binary64)))))))
(/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 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 #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))))
Calls

2 calls:

4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
58.4%1x
58.4%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.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 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 x y) (/.f64 (/.f64 x y) (/.f64 y x)))) (*.f64 (/.f64 x y) (/.f64 (/.f64 x y) (/.f64 y x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 y x)) (+.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 y (/.f64 x y))) #s(literal -1 binary64)))))))
(/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.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:

5.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
58.2%1y
58.2%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.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 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 x y) (/.f64 (/.f64 x y) (/.f64 y x)))) (*.f64 (/.f64 x y) (/.f64 (/.f64 x y) (/.f64 y x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 y x)) (+.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) (/.f64 y (/.f64 x y))) #s(literal -1 binary64)))))))
(/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
Outputs
#s(literal 1 binary64)
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
56.4%1x
56.4%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
7.4%1x
7.4%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.8332366793938849e+50
2.037266800136018e+50
Compiler

Compiled 16 to 12 computations (25% saved)

simplify10.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03357
13957
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 200000000000000015259539682183774006589929941893120 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y))))) #s(literal -1 binary64))
(/.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 x #s(literal 1/2 binary64)) y)))
(/.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 #s(literal 1/2 binary64) y) x)))
#s(literal 1 binary64)
#s(literal -1 binary64)
Outputs
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 200000000000000015259539682183774006589929941893120 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y))))) #s(literal -1 binary64))
(/.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 x #s(literal 1/2 binary64)) y)))
(/.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 #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)
#s(literal -1 binary64)

soundness2.0s (16.9%)

Rules
5448×*-lowering-*.f32
5448×*-lowering-*.f64
4328×*-lowering-*.f32
4328×*-lowering-*.f64
4170×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03161937
110451915
240911901
085621901
033111
1158103
2812101
03160101
07449101
124428950
082398950
040202
1209151
21237147
08384147
0833
12833
214127
380027
0869627
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×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 250 to 178 computations (28.8% saved)

preprocess81.0ms (0.7%)

Compiler

Compiled 400 to 254 computations (36.5% saved)

end0.0ms (0%)

Profiling

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