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

Time bar (total: 11.3s)

analyze305.0ms (2.7%)

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: 98.0ms
ival-mult: 30.0ms (30.5% of total)
ival-tan: 26.0ms (26.4% of total)
ival-div: 25.0ms (25.4% of total)
ival-sin: 13.0ms (13.2% of total)
const: 3.0ms (3.1% of total)
backward-pass: 1.0ms (1% of total)

sample1.9s (17.2%)

Results
1.1s3962×1valid
398.0ms4294×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-tan: 415.0ms (38.6% of total)
ival-div: 272.0ms (25.3% of total)
ival-sin: 204.0ms (19% of total)
ival-mult: 111.0ms (10.3% of total)
backward-pass: 60.0ms (5.6% of total)
const: 14.0ms (1.3% of total)
Bogosity

preprocess35.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

(abs x)

(abs y)

explain200.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1250-37(3.760718664197457e+269 3.0268682434946076e-278)(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
1250-37(3.760718664197457e+269 3.0268682434946076e-278)(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
290-0-(/.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
126.0ms248×1valid
29.0ms264×0valid
Compiler

Compiled 93 to 26 computations (72% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-tan: 18.0ms (32.5% of total)
ival-sin: 14.0ms (25.3% of total)
ival-div: 11.0ms (19.8% of total)
ival-mult: 6.0ms (10.8% of total)
backward-pass: 6.0ms (10.8% of total)
const: 1.0ms (1.8% 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
▶43.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y #s(literal 2 binary64))
✓cost-diff0
(/.f64 x (*.f64 y #s(literal 2 binary64)))
✓cost-diff0
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓cost-diff0
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Rules
12×/-lowering-/.f32
12×/-lowering-/.f64
4×*-lowering-*.f32
4×*-lowering-*.f64
4×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

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

localize92.0ms (0.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y #s(literal 2 binary64))
✓accuracy88.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy56.2%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy55.5%
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Results
66.0ms124×1valid
14.0ms132×0valid
Compiler

Compiled 39 to 9 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-tan: 12.0ms (40.5% of total)
ival-sin: 6.0ms (20.3% of total)
ival-div: 5.0ms (16.9% of total)
ival-mult: 3.0ms (10.1% of total)
backward-pass: 3.0ms (10.1% of total)
const: 1.0ms (3.4% of total)

series18.0ms (0.2%)

Counts
5 → 108
Calls
Call 1
Inputs
#<alt (/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))>
#<alt (tan (/ x (* y 2)))>
#<alt (/ x (* y 2))>
#<alt (* y 2)>
#<alt (sin (/ x (* y 2)))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt (/ 1 (cos (* 1/2 (/ x y))))>
#<alt 1>
#<alt (- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))>
#<alt (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))>
#<alt 1>
#<alt (- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))>
#<alt (- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)>
#<alt (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)>
#<alt (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))>
#<alt (* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))>
Calls

27 calls:

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

rewrite191.0ms (1.7%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
0833
12833
214127
380027
0870427
Stop Event
1×iter limit
1×node limit
Counts
5 → 344
Calls
Call 1
Inputs
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
(tan (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
(sin (/ x (* y 2)))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
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(*.f64 (/.f64 y #s(literal -1 binary64)) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -2 binary64))
(+.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
(sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) #s(literal -1 binary64)) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))
(pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))

simplify334.0ms (3%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
03161937
110451825
240931805
085651805
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
1
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
1
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4))))))
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
(* 1/2 (/ x y))
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(* 1/2 (/ x y))
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)
(* 1/2 (/ x y))
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y))
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 1/2 (/ x y))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(* 1/2 (/ x y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 5/384 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 61/46080 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))))))))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
1
#s(literal 1 binary64)
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2))))
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(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 y y)) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)) (*.f64 y y)) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal -1/8 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64)) (pow.f64 y #s(literal 4 binary64)))))))) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y))
(/.f64 (+.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/768 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/16 binary64)) (*.f64 y y)) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/92160 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) #s(literal 1/384 binary64))) (pow.f64 y #s(literal 6 binary64)))))) (*.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/768 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) #s(literal -1/8 binary64)))) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))))) (pow.f64 y #s(literal 4 binary64)))))))) (-.f64 #s(literal 0 binary64) y))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 y (*.f64 y y)))))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/3840 binary64)) (pow.f64 y #s(literal 5 binary64)))))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/645120 binary64)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64))))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))))))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)) (+.f64 (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))))) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 y y))) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (+.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 y y))) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
(/.f64 (+.f64 (+.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/48 binary64))) (*.f64 y y))) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) y))

eval77.0ms (0.7%)

Compiler

Compiled 13691 to 1752 computations (87.2% saved)

prune172.0ms (1.5%)

Pruning

54 alts after pruning (54 fresh and 0 done)

PrunedKeptTotal
New58454638
Fresh000
Picked101
Done000
Total58554639
Accuracy
61.0%
Counts
639 → 54
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.1%
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
54.8%
(pow.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))
43.8%
(/.f64 (/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.2%
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.5%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.9%
(/.f64 (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.1%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
43.1%
(/.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)))))
55.2%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.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)))))) #s(literal 0 binary64))))
26.7%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
5.5%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
5.7%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
43.1%
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
35.2%
(/.f64 (*.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))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶43.6%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
25.8%
(/.f64 (tan.f64 (pow.f64 (*.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
39.3%
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶43.6%
(/.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)))))
28.7%
(/.f64 (tan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
22.0%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
15.4%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
24.2%
(/.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)))))
43.2%
(/.f64 (tan.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
21.1%
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal 0 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
21.1%
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (neg.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal 0 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
33.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))
40.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
43.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
25.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (*.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
43.8%
(/.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))))
28.5%
(/.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)))))
17.0%
(/.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)))))))))
26.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
21.6%
(/.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))))
43.8%
(/.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)))))
41.0%
(/.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)))))))
42.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
43.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
43.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
39.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
39.8%
(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.9%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
16.7%
(/.f64 (tan.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.9%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
39.0%
(/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶43.8%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)))
37.8%
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
▶48.0%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
40.8%
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
5.5%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))
43.0%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
43.0%
(*.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)))))
▶56.1%
#s(literal 1 binary64)
Compiler

Compiled 2374 to 1568 computations (34% saved)

simplify26.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
✓cost-diff12928
(pow.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓cost-diff12928
(tan.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓cost-diff12928
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓cost-diff6400
(sin.f64 #s(literal 0 binary64))
✓cost-diff6528
(+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))
✓cost-diff6528
(/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64))
✓cost-diff6528
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)))
✓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 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)))
Rules
288×*-lowering-*.f32
288×*-lowering-*.f64
182×associate-*r*
146×/-lowering-/.f32
146×/-lowering-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033200
161191
2107179
3171179
4203179
5312179
6430179
7454179
8468179
9472179
10476179
11486179
12499179
0499179
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
1
(+ 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 (/ (/ 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)
(/ (sin (/ x (/ y 1/2))) (/ (+ (sin 0) (sin (/ x y))) 2))
(sin (/ x (/ y 1/2)))
(/ x (/ y 1/2))
x
(/ y 1/2)
y
1/2
(/ (+ (sin 0) (sin (/ x y))) 2)
(+ (sin 0) (sin (/ x y)))
(sin 0)
0
(sin (/ x y))
(/ x y)
2
(/ (tan (pow (pow (/ x (/ y 1/2)) 1/2) 2)) (sin (/ x (* y 2))))
(tan (pow (pow (/ x (/ y 1/2)) 1/2) 2))
(pow (pow (/ x (/ y 1/2)) 1/2) 2)
(pow (/ x (/ y 1/2)) 1/2)
(/ x (/ y 1/2))
x
(/ y 1/2)
y
1/2
2
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
Outputs
1
#s(literal 1 binary64)
(+ 1 (/ (* 1/8 (* x x)) (* y y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
1
#s(literal 1 binary64)
(/ (* 1/8 (* x x)) (* y y))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y 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 (/ (/ 1 y) (/ 2 x))) (sin (/ x (* y 2))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(tan (/ (/ 1 y) (/ 2 x)))
(tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ (/ 1 y) (/ 2 x))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/ 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 #s(literal 1/2 binary64) (/.f64 y x)))
(/ x (* y 2))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(* y 2)
(*.f64 y #s(literal 2 binary64))
(/ (sin (/ x (/ y 1/2))) (/ (+ (sin 0) (sin (/ x y))) 2))
(/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))
(sin (/ x (/ y 1/2)))
(sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ x (/ y 1/2))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
x
(/ y 1/2)
(/.f64 y #s(literal 1/2 binary64))
y
1/2
#s(literal 1/2 binary64)
(/ (+ (sin 0) (sin (/ x y))) 2)
(/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))
(+ (sin 0) (sin (/ x y)))
(sin.f64 (/.f64 x y))
(sin 0)
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(sin (/ x y))
(sin.f64 (/.f64 x y))
(/ x y)
(/.f64 x y)
2
#s(literal 2 binary64)
(/ (tan (pow (pow (/ x (/ y 1/2)) 1/2) 2)) (sin (/ x (* y 2))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(tan (pow (pow (/ x (/ y 1/2)) 1/2) 2))
(tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(pow (pow (/ x (/ y 1/2)) 1/2) 2)
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(pow (/ x (/ y 1/2)) 1/2)
(pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64))
(/ x (/ y 1/2))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
x
(/ y 1/2)
(/.f64 y #s(literal 1/2 binary64))
y
1/2
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)
(sin (/ x (* y 2)))
(sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ x (* y 2))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(* y 2)
(*.f64 y #s(literal 2 binary64))

localize409.0ms (3.6%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy88.8%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy75.3%
(pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
✓accuracy56.2%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy55.5%
(tan.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓accuracy100.0%
(/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64))
✓accuracy88.8%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)))
✓accuracy56.2%
(sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
✓accuracy56.0%
(sin.f64 (/.f64 x y))
✓accuracy99.6%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))
✓accuracy88.8%
(/.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)))))
✓accuracy56.2%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy55.5%
(tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓accuracy78.4%
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
Results
268.0ms124×1valid
88.0ms132×0valid
Compiler

Compiled 222 to 34 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 181.0ms
ival-div: 61.0ms (33.6% of total)
backward-pass: 37.0ms (20.4% of total)
ival-pow: 29.0ms (16% of total)
ival-sin: 23.0ms (12.7% of total)
ival-tan: 15.0ms (8.3% of total)
ival-mult: 12.0ms (6.6% of total)
ival-add: 4.0ms (2.2% of total)
const: 1.0ms (0.6% of total)

series59.0ms (0.5%)

Counts
20 → 408
Calls
Call 1
Inputs
#<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 (/ (/ 1 y) (/ 2 x))) (sin (/ x (* y 2))))>
#<alt (tan (/ (/ 1 y) (/ 2 x)))>
#<alt (/ (/ 1 y) (/ 2 x))>
#<alt (/ 1 y)>
#<alt (/ (sin (/ x (/ y 1/2))) (/ (+ (sin 0) (sin (/ x y))) 2))>
#<alt (/ (+ (sin 0) (sin (/ x y))) 2)>
#<alt (+ (sin 0) (sin (/ x y)))>
#<alt (sin 0)>
#<alt (/ (tan (pow (pow (/ x (/ y 1/2)) 1/2) 2)) (sin (/ x (* y 2))))>
#<alt (tan (pow (pow (/ x (/ y 1/2)) 1/2) 2))>
#<alt (pow (pow (/ x (/ y 1/2)) 1/2) 2)>
#<alt (pow (/ x (/ y 1/2)) 1/2)>
#<alt (* y y)>
#<alt (sin (/ x (* y 2)))>
#<alt (sin (/ x y))>
#<alt (sin (/ x (/ y 1/2)))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<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 (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))))))>
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#<alt (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))>
Calls

102 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
(pow (/ x (/ y 1/2)) 1/2)
6.0ms
y
@inf
(/ (tan (pow (pow (/ x (/ y 1/2)) 1/2) 2)) (sin (/ x (* y 2))))
5.0ms
x
@inf
(/ (sin (/ x (/ y 1/2))) (/ (+ (sin 0) (sin (/ x y))) 2))
3.0ms
y
@-inf
(/ (tan (pow (pow (/ x (/ y 1/2)) 1/2) 2)) (sin (/ x (* y 2))))
3.0ms
x
@0
(/ (tan (pow (pow (/ x (/ y 1/2)) 1/2) 2)) (sin (/ x (* y 2))))

rewrite342.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
4242×*-lowering-*.f32
4242×*-lowering-*.f64
4160×/-lowering-/.f32
4160×/-lowering-/.f64
1652×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033134
1199119
21311117
08561117
Stop Event
1×iter limit
1×node limit
Counts
20 → 662
Calls
Call 1
Inputs
(+ 1 (/ (* 1/8 (* x x)) (* y y)))
(/ (* 1/8 (* x x)) (* y y))
(* 1/8 (* x x))
(* x x)
(/ (tan (/ (/ 1 y) (/ 2 x))) (sin (/ x (* y 2))))
(tan (/ (/ 1 y) (/ 2 x)))
(/ (/ 1 y) (/ 2 x))
(/ 1 y)
(/ (sin (/ x (/ y 1/2))) (/ (+ (sin 0) (sin (/ x y))) 2))
(/ (+ (sin 0) (sin (/ x y))) 2)
(+ (sin 0) (sin (/ x y)))
(sin 0)
(/ (tan (pow (pow (/ x (/ y 1/2)) 1/2) 2)) (sin (/ x (* y 2))))
(tan (pow (pow (/ x (/ y 1/2)) 1/2) 2))
(pow (pow (/ x (/ y 1/2)) 1/2) 2)
(pow (/ x (/ y 1/2)) 1/2)
(* y y)
(sin (/ x (* y 2)))
(sin (/ x y))
(sin (/ x (/ y 1/2)))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))) (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 x y) #s(literal 1/8 binary64)) (/.f64 x y) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) y)) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x x) y)))) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 x x) (*.f64 y y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x x) y)))) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 x x) (*.f64 y y))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x x) y)))) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x x) y)))) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 x x) (*.f64 y y))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x x) y)))) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x x) y)))) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 x x) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 x x) (*.f64 y y)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 x x) (*.f64 y y)))) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))) (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 x x) (*.f64 y y)))))) (*.f64 (-.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 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x x) y)))) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 x x) (*.f64 y y))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 x x) (*.f64 y y)))) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x x) y)))) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 x x) (*.f64 y y)))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x x) y)))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 x x) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y))))
(neg.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y))))
(neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))))))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) y)) y)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 y y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) y))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x x)) y)
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) y)))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 x x))) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y)))
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) y)) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/8 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y)))
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) y)))
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(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (sqrt.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(neg.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))))
(+.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y)))
(+.f64 (sin.f64 (/.f64 x y)) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x y))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))))
(+.f64 (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 #s(literal 0 binary64))) (*.f64 (cos.f64 (/.f64 x y)) #s(literal 0 binary64)))
(-.f64 (sin.f64 (/.f64 x y)) #s(literal 0 binary64))
(-.f64 (sin.f64 (/.f64 x y)) (/.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y)))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))))
(sin.f64 (/.f64 x y))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y)))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (cos.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 0 binary64))
(neg.f64 (sin.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y))))
(neg.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))))))
(/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))))
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(*.f64 (/.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3/2 binary64)) (sin.f64 (/.f64 x y))) (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3/2 binary64)) (sin.f64 (/.f64 x y))))
(sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(neg.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))))

simplify427.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
4934×+-lowering-+.f64
4934×+-lowering-+.f32
3664×*-lowering-*.f32
3664×*-lowering-*.f64
1984×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07947573
127086761
084466761
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
1
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(+ 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))))
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1
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(* 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)
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(pow x 2)
(pow x 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
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(- (+ 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
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1
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(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
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(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
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(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y)
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(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
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1
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1
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(* 2 (pow (sqrt 1/2) 2))
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(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (+ (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* (pow x 2) (- (* 2 (* y (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))) (pow y 2))) (+ (* -1/161280 (/ (pow (sqrt 1/2) 2) (pow y 6))) (* 1/1920 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
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(* 2 (pow (sqrt 1/2) 2))
(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (* 2 (pow (sqrt 1/2) 2))) (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))))
(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (+ (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) (* x (pow y 4)))) (* 2 (pow (sqrt 1/2) 2)))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 4))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4))))))
(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt 1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt 1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))))))) (* x (pow y 6)))) (+ (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) (* x (pow y 4)))) (* 2 (pow (sqrt 1/2) 2))))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2)))))) (* 1/960 (* (pow x 4) (pow (sqrt 1/2) 2)))))) (pow y 6))) (+ (* -1/161280 (/ (* (pow x 6) (pow (sqrt 1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 6))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4)))))))))
(* -2 (pow (sqrt -1/2) 2))
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (* -2 (pow (sqrt -1/2) 2))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))))
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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))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2)))))) (* -1/960 (* (pow x 4) (pow (sqrt -1/2) 2)))))) (pow y 6))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt -1/2) 2)) (pow y 4))) (+ (* 1/161280 (/ (* (pow x 6) (pow (sqrt -1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 6))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2)))))))))
(/ (* x (pow (sqrt 1/2) 2)) y)
(* x (+ (* (pow x 2) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (- (+ (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (* (pow x 2) (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
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(/ (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))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* x (pow (sqrt 1/2) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2)))) y)
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4)))))) y)
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))))) (pow y 6))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 6))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))))))))) y)
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y))
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* x (pow (sqrt -1/2) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2)))) y))
(* -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 (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))
(* -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))))
(* (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)))
(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))
(/ x y)
(* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(/ x y)
(/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))
(* 1/2 (/ x y))
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(sin (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(* 1/2 (/ x y))
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
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(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
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(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))))
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))
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(* 1/8 (/ (pow x 2) (pow y 2)))
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(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/.f64 (+.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 y y))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/.f64 (+.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 y y))
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))
(/.f64 (+.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 y y))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
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(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
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(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
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(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
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(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
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(* 1/8 (/ (pow x 2) (pow y 2)))
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(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
(* 1/8 (/ (pow x 2) (pow y 2)))
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
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(* 1/8 (pow x 2))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
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(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
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(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
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(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
(* 1/8 (pow x 2))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
(* 1/8 (pow x 2))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
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(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
(* 1/8 (pow x 2))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
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(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
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(/ 1 (cos (* 1/2 (/ x y))))
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1
#s(literal 1 binary64)
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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))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (/.f64 (*.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))) (+.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)
(* 1/2 (/ 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 x #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))))) (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 (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 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y))
(/ x y)
(/.f64 x y)
(* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 y (*.f64 y y)))))
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64))))) (/.f64 #s(literal -1/6 binary64) (*.f64 y (*.f64 y y)))))))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(sin (/ x y))
(sin.f64 (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)
(/.f64 (+.f64 x (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) y)
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)
(/.f64 (+.f64 (+.f64 x (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (/.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))) y)
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y)
(/.f64 (+.f64 x (+.f64 (/.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))))) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) x) (neg.f64 y))
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (+.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) x) (/.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 y))
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) x)) (neg.f64 y))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #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 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal -1/645120 binary64) (*.f64 x x)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64))))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))))))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (/.f64 (*.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))) (+.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)
(* 1/2 (/ 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 x #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))))) (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 (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 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y))

eval200.0ms (1.8%)

Compiler

Compiled 23985 to 2629 computations (89% saved)

prune395.0ms (3.5%)

Pruning

72 alts after pruning (70 fresh and 2 done)

PrunedKeptTotal
New1065311096
Fresh103949
Picked325
Done000
Total1078721150
Accuracy
61.4%
Counts
1150 → 72
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.1%
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
54.8%
(pow.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))
6.2%
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
32.5%
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)))
40.5%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶43.9%
(/.f64 (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.8%
(/.f64 (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))
43.1%
(/.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)))))
55.2%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.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)))))) #s(literal 0 binary64))))
5.5%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
5.7%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
45.7%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x x) y)))) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))))))
43.1%
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
35.2%
(/.f64 (*.f64 x (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.2%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
43.4%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.4%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.1%
(/.f64 (tan.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.2%
(/.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)))))
43.1%
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
25.8%
(/.f64 (tan.f64 (pow.f64 (*.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.2%
(/.f64 (tan.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.6%
(/.f64 (tan.f64 (pow.f64 (sqrt.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
39.9%
(/.f64 (tan.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
39.3%
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.1%
(/.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)))))
40.3%
(/.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))
✓43.6%
(/.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)))))
28.7%
(/.f64 (tan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
22.0%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
15.4%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
24.2%
(/.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)))))
40.5%
(/.f64 (tan.f64 (/.f64 (exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.0%
(/.f64 (tan.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
21.1%
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal 0 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
21.1%
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (neg.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal 0 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
33.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))
40.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
43.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
25.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (*.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
43.8%
(/.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))))
28.5%
(/.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)))))
17.0%
(/.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)))))))))
26.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
21.6%
(/.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))))
43.8%
(/.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)))))
41.0%
(/.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)))))))
42.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
43.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))))
43.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
39.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
39.8%
(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.9%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶42.5%
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶43.7%
(/.f64 (tan.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
16.7%
(/.f64 (tan.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.9%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.1%
(/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
39.8%
(/.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)))))
5.5%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) (*.f64 #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 y))))))))
6.2%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)))
40.6%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (/.f64 x y) #s(literal 2 binary64)))
4.1%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))))
5.3%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y)))))
▶55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
48.1%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
▶52.0%
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/8 binary64))))
5.5%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))
5.3%
(*.f64 (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))))))
43.0%
(*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
43.0%
(*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
✓56.1%
#s(literal 1 binary64)
Compiler

Compiled 3134 to 2083 computations (33.5% saved)

simplify337.0ms (3%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
✓cost-diff13184
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓cost-diff13184
(tan.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))))
✓cost-diff13184
(/.f64 (tan.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓cost-diff0
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓cost-diff0
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
✓cost-diff0
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
✓cost-diff13440
(/.f64 (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y))
✓cost-diff256
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y)))
✓cost-diff256
(tan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y))))
✓cost-diff256
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓cost-diff0
(*.f64 (/.f64 x y) #s(literal 1/8 binary64))
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/8 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/8 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
2112×*-lowering-*.f32
2112×*-lowering-*.f64
1896×fma-lowering-fma.f32
1896×fma-lowering-fma.f64
1686×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036240
170224
2151219
3279219
4442219
5786219
61518219
73222219
86162219
97535219
08131219
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (cos (/ (* x 1/2) y)))
1
(cos (/ (* x 1/2) y))
(/ (* x 1/2) y)
(* x 1/2)
x
1/2
y
(+ 1 (* (/ x y) (* (/ x y) 1/8)))
1
(* (/ x y) (* (/ x y) 1/8))
(/ x y)
x
y
(* (/ x y) 1/8)
1/8
(/ (tan (/ -1 (* (/ 2 x) (- 0 y)))) (sin (/ x (* y 2))))
(tan (/ -1 (* (/ 2 x) (- 0 y))))
(/ -1 (* (/ 2 x) (- 0 y)))
-1
(* (/ 2 x) (- 0 y))
(/ 2 x)
2
x
(- 0 y)
0
y
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
(/ (/ (sin (/ (* x 1/2) y)) (cos (/ (* x 1/2) y))) (sin (/ x (* y 2))))
(/ (sin (/ (* x 1/2) y)) (cos (/ (* x 1/2) y)))
(sin (/ (* x 1/2) y))
(/ (* x 1/2) y)
(* x 1/2)
x
1/2
y
(cos (/ (* x 1/2) y))
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
2
(/ (tan (* (/ (pow y -1/2) (/ 1 x)) (/ (pow y -1/2) 2))) (sin (/ x (* y 2))))
(tan (* (/ (pow y -1/2) (/ 1 x)) (/ (pow y -1/2) 2)))
(* (/ (pow y -1/2) (/ 1 x)) (/ (pow y -1/2) 2))
(/ (pow y -1/2) (/ 1 x))
(pow y -1/2)
y
-1/2
(/ 1 x)
1
x
(/ (pow y -1/2) 2)
2
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
Outputs
(/ 1 (cos (/ (* x 1/2) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
1
#s(literal 1 binary64)
(cos (/ (* x 1/2) y))
(cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ (* x 1/2) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(* x 1/2)
(/.f64 x #s(literal 2 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(+ 1 (* (/ x y) (* (/ x y) 1/8)))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) (/.f64 y x)) (/.f64 y x)))
1
#s(literal 1 binary64)
(* (/ x y) (* (/ x y) 1/8))
(/.f64 (/.f64 #s(literal 1/8 binary64) (/.f64 y x)) (/.f64 y x))
(/ x y)
(/.f64 x y)
x
y
(* (/ x y) 1/8)
(/.f64 #s(literal 1/8 binary64) (/.f64 y x))
1/8
#s(literal 1/8 binary64)
(/ (tan (/ -1 (* (/ 2 x) (- 0 y)))) (sin (/ x (* y 2))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(tan (/ -1 (* (/ 2 x) (- 0 y))))
(tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ -1 (* (/ 2 x) (- 0 y)))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
-1
#s(literal -1 binary64)
(* (/ 2 x) (- 0 y))
(*.f64 (/.f64 y x) #s(literal -2 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(- 0 y)
(-.f64 #s(literal 0 binary64) y)
0
#s(literal 0 binary64)
y
(sin (/ x (* y 2)))
(sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ x (* y 2))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(* y 2)
(*.f64 y #s(literal 2 binary64))
(/ (/ (sin (/ (* x 1/2) y)) (cos (/ (* x 1/2) y))) (sin (/ x (* y 2))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/ (sin (/ (* x 1/2) y)) (cos (/ (* x 1/2) y)))
(/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(sin (/ (* x 1/2) y))
(sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ (* x 1/2) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(* x 1/2)
(/.f64 x #s(literal 2 binary64))
x
1/2
#s(literal 1/2 binary64)
y
(cos (/ (* x 1/2) y))
(cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(sin (/ x (* y 2)))
(sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ x (* y 2))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(* y 2)
(*.f64 y #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (tan (* (/ (pow y -1/2) (/ 1 x)) (/ (pow y -1/2) 2))) (sin (/ x (* y 2))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(tan (* (/ (pow y -1/2) (/ 1 x)) (/ (pow y -1/2) 2)))
(tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* (/ (pow y -1/2) (/ 1 x)) (/ (pow y -1/2) 2))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/ (pow y -1/2) (/ 1 x))
(*.f64 x (pow.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)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(/ (pow y -1/2) 2)
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(sin (/ x (* y 2)))
(sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ x (* y 2))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(* y 2)
(*.f64 y #s(literal 2 binary64))

localize428.0ms (3.8%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
✓accuracy88.8%
(/.f64 (tan.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy56.2%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy55.5%
(tan.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))))
✓accuracy88.8%
(/.f64 (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy56.2%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy56.2%
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
✓accuracy55.5%
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
✓accuracy99.5%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y)))
✓accuracy88.8%
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy56.2%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy55.5%
(tan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y))))
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/8 binary64))))
✓accuracy100.0%
(*.f64 (/.f64 x y) #s(literal 1/8 binary64))
✓accuracy99.7%
(*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/8 binary64)))
✓accuracy100.0%
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
✓accuracy55.5%
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
Results
242.0ms124×1valid
123.0ms132×0valid
Compiler

Compiled 285 to 37 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 215.0ms
ival-tan: 63.0ms (29.3% of total)
ival-pow: 51.0ms (23.8% of total)
ival-div: 45.0ms (21% of total)
ival-mult: 16.0ms (7.5% of total)
ival-sin: 13.0ms (6.1% of total)
backward-pass: 12.0ms (5.6% of total)
ival-cos: 7.0ms (3.3% of total)
ival-add: 5.0ms (2.3% of total)
ival-sub: 2.0ms (0.9% of total)
const: 2.0ms (0.9% of total)

series36.0ms (0.3%)

Counts
20 → 468
Calls
Call 1
Inputs
#<alt (/ 1 (cos (/ (* x 1/2) y)))>
#<alt (cos (/ (* x 1/2) y))>
#<alt (/ (* x 1/2) y)>
#<alt (* x 1/2)>
#<alt (+ 1 (* (/ x y) (* (/ x y) 1/8)))>
#<alt (* (/ x y) (* (/ x y) 1/8))>
#<alt (/ x y)>
#<alt (* (/ x y) 1/8)>
#<alt (/ (tan (/ -1 (* (/ 2 x) (- 0 y)))) (sin (/ x (* y 2))))>
#<alt (tan (/ -1 (* (/ 2 x) (- 0 y))))>
#<alt (/ -1 (* (/ 2 x) (- 0 y)))>
#<alt (* (/ 2 x) (- 0 y))>
#<alt (/ (/ (sin (/ (* x 1/2) y)) (cos (/ (* x 1/2) y))) (sin (/ x (* y 2))))>
#<alt (/ (sin (/ (* x 1/2) y)) (cos (/ (* x 1/2) y)))>
#<alt (sin (/ (* x 1/2) y))>
#<alt (/ (tan (* (/ (pow y -1/2) (/ 1 x)) (/ (pow y -1/2) 2))) (sin (/ x (* y 2))))>
#<alt (tan (* (/ (pow y -1/2) (/ 1 x)) (/ (pow y -1/2) 2)))>
#<alt (* (/ (pow y -1/2) (/ 1 x)) (/ (pow y -1/2) 2))>
#<alt (/ (pow y -1/2) (/ 1 x))>
#<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 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ 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 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))))>
#<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))>
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#<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 (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 (* x (sqrt (/ 1 y)))>
#<alt (* x (sqrt (/ 1 y)))>
#<alt (* x (sqrt (/ 1 y)))>
#<alt (* x (sqrt (/ 1 y)))>
#<alt (* x (sqrt (/ 1 y)))>
#<alt (* x (sqrt (/ 1 y)))>
#<alt (* x (sqrt (/ 1 y)))>
#<alt (* x (sqrt (/ 1 y)))>
#<alt (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))>
#<alt (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))>
#<alt (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))>
#<alt (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))>
#<alt (* x (sqrt (/ 1 y)))>
#<alt (* x (sqrt (/ 1 y)))>
#<alt (* x (sqrt (/ 1 y)))>
#<alt (* x (sqrt (/ 1 y)))>
#<alt (* x (sqrt (/ 1 y)))>
#<alt (* x (sqrt (/ 1 y)))>
#<alt (* x (sqrt (/ 1 y)))>
#<alt (* x (sqrt (/ 1 y)))>
#<alt (* x (sqrt (/ 1 y)))>
#<alt (* x (sqrt (/ 1 y)))>
#<alt (* x (sqrt (/ 1 y)))>
#<alt (* x (sqrt (/ 1 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

117 calls:

TimeVariablePointExpression
8.0ms
y
@0
(* (/ 2 x) (- 0 y))
6.0ms
y
@-inf
(/ (tan (* (/ (pow y -1/2) (/ 1 x)) (/ (pow y -1/2) 2))) (sin (/ x (* y 2))))
1.0ms
y
@-inf
(* (/ (pow y -1/2) (/ 1 x)) (/ (pow y -1/2) 2))
1.0ms
y
@-inf
(tan (* (/ (pow y -1/2) (/ 1 x)) (/ (pow y -1/2) 2)))
1.0ms
x
@0
(/ (pow y -1/2) (/ 1 x))

rewrite295.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
3706×*-lowering-*.f32
3706×*-lowering-*.f64
2562×/-lowering-/.f32
2562×/-lowering-/.f64
1216×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036131
1189113
21367113
08761113
Stop Event
1×iter limit
1×node limit
Counts
20 → 1141
Calls
Call 1
Inputs
(/ 1 (cos (/ (* x 1/2) y)))
(cos (/ (* x 1/2) y))
(/ (* x 1/2) y)
(* x 1/2)
(+ 1 (* (/ x y) (* (/ x y) 1/8)))
(* (/ x y) (* (/ x y) 1/8))
(/ x y)
(* (/ x y) 1/8)
(/ (tan (/ -1 (* (/ 2 x) (- 0 y)))) (sin (/ x (* y 2))))
(tan (/ -1 (* (/ 2 x) (- 0 y))))
(/ -1 (* (/ 2 x) (- 0 y)))
(* (/ 2 x) (- 0 y))
(/ (/ (sin (/ (* x 1/2) y)) (cos (/ (* x 1/2) y))) (sin (/ x (* y 2))))
(/ (sin (/ (* x 1/2) y)) (cos (/ (* x 1/2) y)))
(sin (/ (* x 1/2) y))
(/ (tan (* (/ (pow y -1/2) (/ 1 x)) (/ (pow y -1/2) 2))) (sin (/ x (* y 2))))
(tan (* (/ (pow y -1/2) (/ 1 x)) (/ (pow y -1/2) 2)))
(* (/ (pow y -1/2) (/ 1 x)) (/ (pow y -1/2) 2))
(/ (pow y -1/2) (/ 1 x))
(sin (/ x (* y 2)))
Outputs
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64))) (/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(neg.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)))
(/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (neg.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64))))
(/.f64 (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal -1 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(pow.f64 (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64))))
(*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(*.f64 (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(*.f64 (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(*.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64)) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) #s(literal -1 binary64))))
(cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))
(cos.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) #s(literal 1 binary64)))
(/.f64 (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) #s(literal -1 binary64))
(/.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))
(/.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(pow.f64 (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))
(*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal -1 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)))
(*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))))
(+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 y y))) #s(literal 0 binary64)))
(+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y y)) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 y y) (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 y y)))))
(+.f64 (*.f64 y (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y y))) (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y y))))
(+.f64 (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 y y))) #s(literal 0 binary64)) (/.f64 (/.f64 x #s(literal 2 binary64)) y))
(+.f64 (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y y)) #s(literal 0 binary64)) (/.f64 (/.f64 x #s(literal 2 binary64)) y))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 y y)))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y y))) (*.f64 y (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64))))
(neg.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -2 binary64)) (/.f64 x (pow.f64 y #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -2 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
(neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) x))
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(*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) x))
(*.f64 (*.f64 x (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64))

simplify443.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
4022×*-lowering-*.f32
4022×*-lowering-*.f64
3142×+-lowering-+.f64
3142×+-lowering-+.f32
2140×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04966710
116736156
269446075
083576075
Stop Event
1×iter limit
1×node limit
Counts
468 → 468
Calls
Call 1
Inputs
1
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1
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Outputs
1
#s(literal 1 binary64)
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(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
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(/ (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))))
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(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
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(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(* 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))
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(* 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 (pow (sqrt -1) 2)) y))
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(* -1/2 (/ (* x (pow (sqrt -1) 2)) y))
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(* -1/2 (/ (* x (pow (sqrt -1) 2)) y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1/2 (/ (* x (pow (sqrt -1) 2)) y))
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(* 1/2 (/ x y))
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(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
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(* 1/2 (/ x y))
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(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
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(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* 1/2 (/ x y))
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(* 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))
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(* x (sqrt (/ 1 y)))
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(* x (sqrt (/ 1 y)))
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(* x (sqrt (/ 1 y)))
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(* x (sqrt (/ 1 y)))
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(* x (sqrt (/ 1 y)))
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(* x (sqrt (/ 1 y)))
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(* x (sqrt (/ 1 y)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* x (sqrt (/ 1 y)))
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(* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))
(*.f64 (*.f64 x #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))
(*.f64 (*.f64 x #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))
(*.f64 (*.f64 x #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))
(*.f64 (*.f64 x #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* x (sqrt (/ 1 y)))
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(* x (sqrt (/ 1 y)))
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(* x (sqrt (/ 1 y)))
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(* x (sqrt (/ 1 y)))
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(* x (sqrt (/ 1 y)))
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(* x (sqrt (/ 1 y)))
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(* x (sqrt (/ 1 y)))
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(* x (sqrt (/ 1 y)))
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(* x (sqrt (/ 1 y)))
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(* x (sqrt (/ 1 y)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 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)))
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(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)))
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(sin (* 1/2 (/ x y)))
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(sin (* 1/2 (/ x y)))
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(sin (* 1/2 (/ x y)))
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(* 1/2 (/ x y))
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
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(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y y))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (+.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y y))) (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #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 x #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y y))) (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #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))

eval323.0ms (2.9%)

Compiler

Compiled 47470 to 4453 computations (90.6% saved)

prune335.0ms (3%)

Pruning

92 alts after pruning (89 fresh and 3 done)

PrunedKeptTotal
New2217512268
Fresh273865
Picked325
Done112
Total2248922340
Accuracy
61.9%
Counts
2340 → 92
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.8%
(pow.f64 (*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) #s(literal -1/2 binary64))
43.1%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.2%
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.5%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.0%
(/.f64 (/.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.8%
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.7%
(/.f64 (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.1%
(/.f64 (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))))
44.2%
(/.f64 (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) x) (pow.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶43.9%
(/.f64 (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.5%
(/.f64 (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 y y))) y) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.8%
(/.f64 (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))
43.4%
(/.f64 (/.f64 (sin.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 #s(literal 2 binary64) x)))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.6%
(/.f64 (/.f64 (sin.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) x))))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.4%
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/2 binary64))))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
26.3%
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.9%
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
16.2%
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
39.6%
(/.f64 (/.f64 (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
5.7%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
43.4%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.4%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.1%
(/.f64 (tan.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.1%
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
25.8%
(/.f64 (tan.f64 (pow.f64 (*.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.2%
(/.f64 (tan.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
39.9%
(/.f64 (tan.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.1%
(/.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)))))
28.7%
(/.f64 (tan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
22.0%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
15.4%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
24.2%
(/.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)))))
40.5%
(/.f64 (tan.f64 (/.f64 (exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.0%
(/.f64 (tan.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
28.5%
(/.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)))))
17.0%
(/.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)))))))))
21.6%
(/.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))))
43.8%
(/.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)))))
41.0%
(/.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)))))))
42.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
43.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
39.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
39.8%
(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
25.6%
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (/.f64 x #s(literal -2 binary64))) (/.f64 y (/.f64 x #s(literal -2 binary64))))) (/.f64 y (/.f64 x #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
25.8%
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) (neg.f64 (/.f64 y (/.f64 #s(literal 2 binary64) x)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
15.6%
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) y) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
15.9%
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.6%
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))))
42.5%
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶43.8%
(/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
16.7%
(/.f64 (tan.f64 (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 y y))) (*.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.6%
(/.f64 (tan.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
24.2%
(/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.9%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
3.7%
(/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
39.8%
(/.f64 (tan.f64 (*.f64 (exp.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) (*.f64 (log.f64 x) #s(literal -1 binary64)))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.1%
(/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
39.8%
(/.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)))))
5.5%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) (*.f64 #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 y))))))))
6.2%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)))
48.4%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
43.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))))
▶43.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
▶55.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal -1/2 binary64))))))
55.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
✓55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
55.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
55.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 #s(literal 2 binary64) x)))))
55.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64)))))))
55.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal -3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))))
55.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) x) (pow.f64 y #s(literal 1/2 binary64))))))
55.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))))
51.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y y)) y)))
30.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
51.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
44.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))
55.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
29.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
49.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 y y))) y) y)))
55.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) x))))
55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
52.0%
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/8 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
48.1%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
✓52.0%
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/8 binary64))))
5.5%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))
5.3%
(*.f64 (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))))))
43.0%
(*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
43.0%
(*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
▶3.0%
(*.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (*.f64 x x) y) y))
✓56.1%
#s(literal 1 binary64)
Compiler

Compiled 3878 to 2633 computations (32.1% saved)

simplify250.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x))
✓cost-diff13184
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)))
✓cost-diff13184
(tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x))))
✓cost-diff13184
(/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓cost-diff0
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓cost-diff0
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
✓cost-diff0
(/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
✓cost-diff13440
(/.f64 (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓cost-diff0
(tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 (*.f64 x x) y)
✓cost-diff0
(/.f64 (/.f64 (*.f64 x x) y) y)
✓cost-diff0
(*.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (*.f64 x x) y) y))
✓cost-diff0
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
✓cost-diff13184
(/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal -1/2 binary64))))
✓cost-diff13184
(cos.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal -1/2 binary64)))))
✓cost-diff13184
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal -1/2 binary64))))))
Rules
2218×*-lowering-*.f32
2218×*-lowering-*.f64
1922×div-sub
1890×/-lowering-/.f32
1890×/-lowering-/.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
044347
187339
2156315
3343271
4693248
51001248
61140248
71391248
82441248
94261248
106601248
08650248
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (cos (/ (/ (pow y -1/2) (/ -1 x)) (/ -2 (pow y -1/2)))))
1
(cos (/ (/ (pow y -1/2) (/ -1 x)) (/ -2 (pow y -1/2))))
(/ (/ (pow y -1/2) (/ -1 x)) (/ -2 (pow y -1/2)))
(/ (pow y -1/2) (/ -1 x))
(pow y -1/2)
y
-1/2
(/ -1 x)
-1
x
(/ -2 (pow y -1/2))
-2
(* 1/8 (/ (/ (* x x) y) y))
1/8
(/ (/ (* x x) y) y)
(/ (* x x) y)
(* x x)
x
y
(/ 1 (* (/ 1 (tan (/ (/ x 2) y))) (sin (/ (/ x 2) y))))
1
(* (/ 1 (tan (/ (/ x 2) y))) (sin (/ (/ x 2) y)))
(/ 1 (tan (/ (/ x 2) y)))
(tan (/ (/ x 2) y))
(/ (/ x 2) y)
(/ x 2)
x
2
y
(sin (/ (/ x 2) y))
(/ (/ (sin (/ (* x 1/2) y)) (cos (* (/ 1/2 y) x))) (sin (/ x (* y 2))))
(/ (sin (/ (* x 1/2) y)) (cos (* (/ 1/2 y) x)))
(sin (/ (* x 1/2) y))
(/ (* x 1/2) y)
(* x 1/2)
x
1/2
y
(cos (* (/ 1/2 y) x))
(* (/ 1/2 y) x)
(/ 1/2 y)
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
2
(/ (tan (* (pow y -1/2) (/ 1 (/ (/ 2 (pow y -1/2)) x)))) (sin (/ x (* y 2))))
(tan (* (pow y -1/2) (/ 1 (/ (/ 2 (pow y -1/2)) x))))
(* (pow y -1/2) (/ 1 (/ (/ 2 (pow y -1/2)) x)))
(pow y -1/2)
y
-1/2
(/ 1 (/ (/ 2 (pow y -1/2)) x))
1
(/ (/ 2 (pow y -1/2)) x)
(/ 2 (pow y -1/2))
2
x
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
Outputs
(/ 1 (cos (/ (/ (pow y -1/2) (/ -1 x)) (/ -2 (pow y -1/2)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(cos (/ (/ (pow y -1/2) (/ -1 x)) (/ -2 (pow y -1/2))))
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ (/ (pow y -1/2) (/ -1 x)) (/ -2 (pow y -1/2)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/ (pow y -1/2) (/ -1 x))
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(pow y -1/2)
(pow.f64 y #s(literal -1/2 binary64))
y
-1/2
#s(literal -1/2 binary64)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(/ -2 (pow y -1/2))
(/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal -1/2 binary64)))
-2
#s(literal -2 binary64)
(* 1/8 (/ (/ (* x x) y) y))
(*.f64 x (/.f64 (*.f64 x (/.f64 #s(literal 1/8 binary64) y)) y))
1/8
#s(literal 1/8 binary64)
(/ (/ (* x x) y) y)
(/.f64 (/.f64 (*.f64 x x) y) y)
(/ (* x x) y)
(/.f64 (*.f64 x x) y)
(* x x)
(*.f64 x x)
x
y
(/ 1 (* (/ 1 (tan (/ (/ x 2) y))) (sin (/ (/ x 2) y))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(* (/ 1 (tan (/ (/ x 2) y))) (sin (/ (/ x 2) y)))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/ 1 (tan (/ (/ x 2) y)))
(/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan (/ (/ x 2) y))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ (/ x 2) y)
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
y
(sin (/ (/ x 2) y))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ (/ (sin (/ (* x 1/2) y)) (cos (* (/ 1/2 y) x))) (sin (/ x (* y 2))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/ (sin (/ (* x 1/2) y)) (cos (* (/ 1/2 y) x)))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(sin (/ (* x 1/2) y))
(sin.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
(cos (* (/ 1/2 y) x))
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(* (/ 1/2 y) x)
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/ 1/2 y)
(/.f64 #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)
(/ (tan (* (pow y -1/2) (/ 1 (/ (/ 2 (pow y -1/2)) 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 (* (pow y -1/2) (/ 1 (/ (/ 2 (pow y -1/2)) x))))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(* (pow y -1/2) (/ 1 (/ (/ 2 (pow y -1/2)) x)))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(pow y -1/2)
(pow.f64 y #s(literal -1/2 binary64))
y
-1/2
#s(literal -1/2 binary64)
(/ 1 (/ (/ 2 (pow y -1/2)) x))
(/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(/ (/ 2 (pow y -1/2)) x)
(/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(/ 2 (pow y -1/2))
(/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64)))
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))

localize413.0ms (3.7%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)))
✓accuracy88.8%
(/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy56.2%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy55.5%
(tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x))))
✓accuracy88.8%
(/.f64 (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy56.2%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy56.2%
(sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
✓accuracy55.5%
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))
✓accuracy87.9%
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))
✓accuracy56.2%
(sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))
✓accuracy55.5%
(tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.7%
(*.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (*.f64 x x) y) y))
✓accuracy95.1%
(/.f64 (/.f64 (*.f64 x x) y) y)
✓accuracy91.3%
(/.f64 (*.f64 x x) y)
✓accuracy99.6%
(/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal -1/2 binary64))))
✓accuracy99.5%
(/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal -1/2 binary64)))
✓accuracy99.5%
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x))
✓accuracy55.5%
(cos.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal -1/2 binary64)))))
Results
229.0ms124×1valid
95.0ms132×0valid
Compiler

Compiled 331 to 45 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 177.0ms
ival-pow: 50.0ms (28.3% of total)
ival-div: 48.0ms (27.2% of total)
ival-mult: 20.0ms (11.3% of total)
ival-sin: 18.0ms (10.2% of total)
ival-cos: 14.0ms (7.9% of total)
backward-pass: 13.0ms (7.4% of total)
ival-tan: 12.0ms (6.8% of total)
const: 2.0ms (1.1% of total)

series35.0ms (0.3%)

Counts
24 → 552
Calls
Call 1
Inputs
#<alt (/ 1 (cos (/ (/ (pow y -1/2) (/ -1 x)) (/ -2 (pow y -1/2)))))>
#<alt (cos (/ (/ (pow y -1/2) (/ -1 x)) (/ -2 (pow y -1/2))))>
#<alt (/ (/ (pow y -1/2) (/ -1 x)) (/ -2 (pow y -1/2)))>
#<alt (/ (pow y -1/2) (/ -1 x))>
#<alt (* 1/8 (/ (/ (* x x) y) y))>
#<alt (/ (/ (* x x) y) y)>
#<alt (/ (* x x) y)>
#<alt (* x x)>
#<alt (/ 1 (* (/ 1 (tan (/ (/ x 2) y))) (sin (/ (/ x 2) y))))>
#<alt (* (/ 1 (tan (/ (/ x 2) y))) (sin (/ (/ x 2) y)))>
#<alt (/ 1 (tan (/ (/ x 2) y)))>
#<alt (tan (/ (/ x 2) y))>
#<alt (/ (/ (sin (/ (* x 1/2) y)) (cos (* (/ 1/2 y) x))) (sin (/ x (* y 2))))>
#<alt (/ (sin (/ (* x 1/2) y)) (cos (* (/ 1/2 y) x)))>
#<alt (sin (/ (* x 1/2) y))>
#<alt (/ (* x 1/2) y)>
#<alt (/ (tan (* (pow y -1/2) (/ 1 (/ (/ 2 (pow y -1/2)) x)))) (sin (/ x (* y 2))))>
#<alt (tan (* (pow y -1/2) (/ 1 (/ (/ 2 (pow y -1/2)) x))))>
#<alt (* (pow y -1/2) (/ 1 (/ (/ 2 (pow y -1/2)) x)))>
#<alt (/ 1 (/ (/ 2 (pow y -1/2)) x))>
#<alt (/ -2 (pow y -1/2))>
#<alt (sin (/ (/ x 2) y))>
#<alt (cos (* (/ 1/2 y) x))>
#<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 (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 (* -1 (* x (sqrt (/ 1 y))))>
#<alt (* -1 (* x (sqrt (/ 1 y))))>
#<alt (* -1 (* x (sqrt (/ 1 y))))>
#<alt (* -1 (* x (sqrt (/ 1 y))))>
#<alt (* -1 (* x (sqrt (/ 1 y))))>
#<alt (* -1 (* x (sqrt (/ 1 y))))>
#<alt (* -1 (* x (sqrt (/ 1 y))))>
#<alt (* -1 (* x (sqrt (/ 1 y))))>
#<alt (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))>
#<alt (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))>
#<alt (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))>
#<alt (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))>
#<alt (* -1 (* x (sqrt (/ 1 y))))>
#<alt (* -1 (* x (sqrt (/ 1 y))))>
#<alt (* -1 (* x (sqrt (/ 1 y))))>
#<alt (* -1 (* x (sqrt (/ 1 y))))>
#<alt (* -1 (* x (sqrt (/ 1 y))))>
#<alt (* -1 (* x (sqrt (/ 1 y))))>
#<alt (* -1 (* x (sqrt (/ 1 y))))>
#<alt (* -1 (* x (sqrt (/ 1 y))))>
#<alt (* -1 (* x (sqrt (/ 1 y))))>
#<alt (* -1 (* x (sqrt (/ 1 y))))>
#<alt (* -1 (* x (sqrt (/ 1 y))))>
#<alt (* -1 (* x (sqrt (/ 1 y))))>
#<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)))>
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#<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 (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 (* 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 (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))))>
#<alt (* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))>
#<alt (* 1/2 (* (* x (pow (sqrt -1) 2)) (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 (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 (sqrt (/ 1 y))))>
#<alt (* -2 (sqrt y))>
#<alt (* -2 (sqrt y))>
#<alt (* -2 (sqrt y))>
#<alt (* -2 (sqrt y))>
#<alt (* -2 (sqrt y))>
#<alt (* -2 (sqrt y))>
#<alt (* -2 (sqrt y))>
#<alt (* -2 (sqrt y))>
#<alt (* 2 (sqrt y))>
#<alt (* 2 (sqrt y))>
#<alt (* 2 (sqrt y))>
#<alt (* 2 (sqrt 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 (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 (* 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

138 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ 1 (tan (/ (/ x 2) y)))
2.0ms
y
@inf
(* (/ 1 (tan (/ (/ x 2) y))) (sin (/ (/ x 2) y)))
2.0ms
y
@-inf
(* (/ 1 (tan (/ (/ x 2) y))) (sin (/ (/ x 2) y)))
1.0ms
y
@inf
(/ 1 (tan (/ (/ x 2) y)))
1.0ms
y
@-inf
(/ 1 (tan (/ (/ x 2) y)))

rewrite198.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
2704×*-lowering-*.f32
2704×*-lowering-*.f64
2116×/-lowering-/.f32
2116×/-lowering-/.f64
1486×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044224
1232200
21218135
08931135
Stop Event
1×iter limit
1×node limit
Counts
24 → 1217
Calls
Call 1
Inputs
(/ 1 (cos (/ (/ (pow y -1/2) (/ -1 x)) (/ -2 (pow y -1/2)))))
(cos (/ (/ (pow y -1/2) (/ -1 x)) (/ -2 (pow y -1/2))))
(/ (/ (pow y -1/2) (/ -1 x)) (/ -2 (pow y -1/2)))
(/ (pow y -1/2) (/ -1 x))
(* 1/8 (/ (/ (* x x) y) y))
(/ (/ (* x x) y) y)
(/ (* x x) y)
(* x x)
(/ 1 (* (/ 1 (tan (/ (/ x 2) y))) (sin (/ (/ x 2) y))))
(* (/ 1 (tan (/ (/ x 2) y))) (sin (/ (/ x 2) y)))
(/ 1 (tan (/ (/ x 2) y)))
(tan (/ (/ x 2) y))
(/ (/ (sin (/ (* x 1/2) y)) (cos (* (/ 1/2 y) x))) (sin (/ x (* y 2))))
(/ (sin (/ (* x 1/2) y)) (cos (* (/ 1/2 y) x)))
(sin (/ (* x 1/2) y))
(/ (* x 1/2) y)
(/ (tan (* (pow y -1/2) (/ 1 (/ (/ 2 (pow y -1/2)) x)))) (sin (/ x (* y 2))))
(tan (* (pow y -1/2) (/ 1 (/ (/ 2 (pow y -1/2)) x))))
(* (pow y -1/2) (/ 1 (/ (/ 2 (pow y -1/2)) x)))
(/ 1 (/ (/ 2 (pow y -1/2)) x))
(/ -2 (pow y -1/2))
(sin (/ (/ x 2) y))
(cos (* (/ 1/2 y) x))
(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) (-.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 (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 (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))))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.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 #s(literal 0 binary64) (cos.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 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (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 (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)))) (neg.f64 (*.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 (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) (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 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 #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 (-.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 (neg.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))))))
(pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(*.f64 #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) (/.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) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(*.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.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)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (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) (*.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) (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 (/.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) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 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 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.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 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 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)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(*.f64 (/.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) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.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))))
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(/.f64 (*.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 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 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)))))
(pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 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 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(*.f64 (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))))))
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(*.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 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
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(*.f64 (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -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 #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)))) #s(literal 1 binary64))

simplify663.0ms (5.9%)

Algorithm
1×egg-herbie
Rules
4594×*-lowering-*.f32
4594×*-lowering-*.f64
4510×+-lowering-+.f64
4510×+-lowering-+.f32
1598×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06929071
123878322
084758322
Stop Event
1×iter limit
1×node limit
Counts
552 → 552
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
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(- (+ 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
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(- (+ 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
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(/ 1 (cos (* 1/2 (/ x y))))
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(cos (* 1/2 (/ x y)))
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1
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1
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(+ 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
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(+ 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)))
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(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
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(* -1/2 (/ (* x (pow (sqrt -1) 2)) y))
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(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))
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1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
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(+ 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))))
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1
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1
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(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))))
1
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1
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(/ (- (+ (* -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)
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1
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1
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
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Outputs
(/ 1 (cos (* 1/2 (/ x y))))
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(/ 1 (cos (* 1/2 (/ x y))))
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1
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(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/384 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.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))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/384 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y)))) (/.f64 (*.f64 #s(literal -1/46080 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/384 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.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))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
(+.f64 (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/384 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y)))) (/.f64 (*.f64 #s(literal -1/46080 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y)))))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x x)) (*.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 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal -1/645120 binary64) (*.f64 x x)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64))))) (/.f64 #s(literal -1/48 binary64) (*.f64 y (*.f64 y y)))))))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(sin (* 1/2 (/ x y)))
(sin.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x)) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (+.f64 (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))))) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.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 (*.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))

eval239.0ms (2.1%)

Compiler

Compiled 38238 to 3845 computations (89.9% saved)

prune325.0ms (2.9%)

Pruning

106 alts after pruning (100 fresh and 6 done)

PrunedKeptTotal
New1780231803
Fresh77784
Picked235
Done033
Total17891061895
Accuracy
62.0%
Counts
1895 → 106
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.8%
(pow.f64 (*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) #s(literal -1/2 binary64))
43.1%
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
6.2%
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.5%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.0%
(/.f64 (/.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.8%
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.7%
(/.f64 (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.1%
(/.f64 (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))))
44.2%
(/.f64 (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) x) (pow.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓43.9%
(/.f64 (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
38.5%
(/.f64 (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 y y))) y) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.8%
(/.f64 (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))
42.7%
(/.f64 (/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.6%
(/.f64 (/.f64 (sin.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) x))))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.4%
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/2 binary64))))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
26.3%
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.9%
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.9%
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
16.2%
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.1%
(/.f64 (/.f64 (sin.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 y) x)))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.1%
(/.f64 (/.f64 (sin.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
39.6%
(/.f64 (/.f64 (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
5.7%
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))
43.4%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 4 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.4%
(/.f64 (tan.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.1%
(/.f64 (tan.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.1%
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
25.8%
(/.f64 (tan.f64 (pow.f64 (*.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.2%
(/.f64 (tan.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
39.9%
(/.f64 (tan.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.1%
(/.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 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
28.7%
(/.f64 (tan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
22.0%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
15.4%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
24.2%
(/.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)))))
40.5%
(/.f64 (tan.f64 (/.f64 (exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.0%
(/.f64 (tan.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
28.5%
(/.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)))))
17.0%
(/.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)))))))))
21.6%
(/.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))))
43.8%
(/.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)))))
41.0%
(/.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)))))))
42.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
43.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
39.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
39.8%
(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
25.6%
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (/.f64 x #s(literal -2 binary64))) (/.f64 y (/.f64 x #s(literal -2 binary64))))) (/.f64 y (/.f64 x #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
25.8%
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) (neg.f64 (/.f64 y (/.f64 #s(literal 2 binary64) x)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
15.6%
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) y) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
15.9%
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.6%
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))))
42.5%
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.1%
(/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.0%
(/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
3.7%
(/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.1%
(/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)) #s(literal -1 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
16.7%
(/.f64 (tan.f64 (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 y y))) (*.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.6%
(/.f64 (tan.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
24.2%
(/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.9%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
39.8%
(/.f64 (tan.f64 (*.f64 (exp.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) (*.f64 (log.f64 x) #s(literal -1 binary64)))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
40.1%
(/.f64 (tan.f64 (*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
39.8%
(/.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)))))
5.5%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) (*.f64 #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 y))))))))
6.2%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)))
2.7%
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
48.4%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
27.6%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1/2 binary64)) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
43.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))))
✓43.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 y))))
53.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))))))))))
55.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 y) x))))
55.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))))
55.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
55.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal -1/2 binary64))))))
✓55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
55.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))))))
55.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y)))))
55.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
54.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) x) y))))
55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))))
55.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal -3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))))
55.2%
(/.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 -1/4 binary64)) (/.f64 (sqrt.f64 y) x)))))
55.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))))
51.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y y)) y)))
30.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
51.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
44.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))
55.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
29.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
49.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 y y))) y) y)))
55.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) x))))
55.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))))))
55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
3.2%
(/.f64 #s(literal -1/8 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y x) x))))
✓52.0%
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/8 binary64))))
5.5%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))
5.3%
(*.f64 (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))))))
43.0%
(*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
43.0%
(*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
✓3.0%
(*.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (*.f64 x x) y) y))
3.0%
(*.f64 #s(literal 1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))))
✓56.1%
#s(literal 1 binary64)
Compiler

Compiled 5400 to 2229 computations (58.7% saved)

regimes263.0ms (2.3%)

Counts
160 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))))
(*.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (*.f64 x x) y) y))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/8 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(/.f64 #s(literal -1/8 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y x) x))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/8 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(/.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 (*.f64 x x) y) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x x) y)))) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x 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 #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 (/.f64 #s(literal -2 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y y)) y)))
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (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 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 y y))) y) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y (*.f64 y y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 x (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x 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)))))
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (*.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3 binary64)) (*.f64 #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 y))))))))
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 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 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.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)))))) #s(literal 0 binary64))))
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x y))) #s(literal 2 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 (tan.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))))))
(/.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 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal -3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))))
(/.f64 (/.f64 (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/2 binary64))))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 #s(literal 2 binary64) x)))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 y) x)))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (*.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 (tan.f64 (*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x y))) (exp.f64 (log.f64 #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)) #s(literal -1 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (*.f64 (exp.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) (*.f64 (log.f64 x) #s(literal -1 binary64)))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cos.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) x) (pow.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) x))))) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y))))))))
(/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))))) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))))))))))
Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 y))))))
#s(literal 1 binary64)
Calls

5 calls:

63.0ms
(*.f64 y #s(literal 2 binary64))
51.0ms
x
43.0ms
y
42.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
56.1%1x
57.7%2y
57.8%2(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
56.1%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
57.7%2(*.f64 y #s(literal 2 binary64))
Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes223.0ms (2%)

Counts
134 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))))
(*.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (*.f64 x x) y) y))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/8 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(/.f64 #s(literal -1/8 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y x) x))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/8 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(/.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 (*.f64 x x) y) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x x) y)))) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x 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 #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 (/.f64 #s(literal -2 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y y)) y)))
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (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 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 y y))) y) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y (*.f64 y y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 x (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x 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 (tan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) 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 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 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 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x 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 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
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(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x y))) #s(literal 2 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 (tan.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Outputs
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 #s(literal 2 binary64) x)))))
Calls

3 calls:

84.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
66.0ms
(*.f64 y #s(literal 2 binary64))
48.0ms
y
Results
AccuracySegmentsBranch
57.7%2y
57.7%2(*.f64 y #s(literal 2 binary64))
56.1%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes82.0ms (0.7%)

Accuracy

Total -35.5b remaining (-126.5%)

Threshold costs -35.5b (-126.5%)

Counts
68 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/8 binary64) (*.f64 x (/.f64 x (*.f64 y y))))
(*.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (*.f64 x x) y) y))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/8 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(/.f64 #s(literal -1/8 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y x) x))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/8 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(/.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 (*.f64 x x) y) (*.f64 (/.f64 (*.f64 x x) y) (/.f64 (*.f64 x x) y)))) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 (*.f64 y y) (*.f64 #s(literal 1/8 binary64) (*.f64 x 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 #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 (/.f64 #s(literal -2 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y y)) y)))
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 (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 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 y y))) y) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y (*.f64 y y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 x (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x 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 (tan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) 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 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))))
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 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 1/2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x 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 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y #s(literal -2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) (neg.f64 (/.f64 y (/.f64 #s(literal 2 binary64) x)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (*.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y (*.f64 y y))) (*.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))))
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) y) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)))
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (/.f64 x #s(literal -2 binary64))) (/.f64 y (/.f64 x #s(literal -2 binary64))))) (/.f64 y (/.f64 x #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.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)))))
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (neg.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal 0 binary64)))))) (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 (/.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y))))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 y) (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 y) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64)))))))
Outputs
#s(literal 1 binary64)
Calls

4 calls:

23.0ms
(*.f64 y #s(literal 2 binary64))
20.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
19.0ms
y
17.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
56.1%1(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
56.1%1(/.f64 x (*.f64 y #s(literal 2 binary64)))
56.1%1y
56.1%1(*.f64 y #s(literal 2 binary64))
Compiler

Compiled 30 to 19 computations (36.7% saved)

bsearch2.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.499025347951231
1.6061119163237538
Compiler

Compiled 20 to 12 computations (40% saved)

bsearch2.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5.251458886526541e-131
1.2658381700435596e-129
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
16×*-commutative_binary64
14×+-commutative_binary64
12×sub-neg_binary64
12×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03858
15057
26157
37357
48257
58657
68757
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))))) #s(literal 1 binary64))
(if (<=.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1248699420126397/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 #s(literal 2 binary64) x))))))
#s(literal 1 binary64)
Outputs
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 y)))))) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 y))) (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64))) x)))))) #s(literal 1 binary64))
(if (<=.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1248699420126397/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 #s(literal 2 binary64) x))))))
#s(literal 1 binary64)

soundness1.1s (9.5%)

Rules
3912×*-lowering-*.f32
3912×*-lowering-*.f64
3706×*-lowering-*.f32
3706×*-lowering-*.f64
2846×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03161937
110451825
240931805
085651805
044224
1232200
21218135
08931135
036131
1189113
21367113
08761113
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 111 to 80 computations (27.9% saved)

preprocess76.0ms (0.7%)

Compiler

Compiled 370 to 232 computations (37.3% saved)

end0.0ms (0%)

Profiling

Loading profile data...