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

Time bar (total: 10.5s)

analyze251.0ms (2.4%)

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: 93.0ms
ival-div: 28.0ms (30% of total)
ival-mult: 23.0ms (24.7% of total)
ival-sin: 22.0ms (23.6% of total)
ival-tan: 17.0ms (18.2% of total)
const: 3.0ms (3.2% of total)
backward-pass: 1.0ms (1.1% of total)

sample2.2s (20.4%)

Results
1.4s3965×1valid
410.0ms4291×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-sin: 495.0ms (36.8% of total)
ival-tan: 353.0ms (26.2% of total)
ival-div: 185.0ms (13.7% of total)
backward-pass: 156.0ms (11.6% of total)
ival-mult: 142.0ms (10.5% of total)
const: 16.0ms (1.2% of total)
Bogosity

preprocess33.0ms (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)

explain164.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1310-31(8.522294563941462e+278 5.620725586340509e-65)(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
1310-31(8.522294563941462e+278 5.620725586340509e-65)(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
240-0-(/.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
88.0ms254×1valid
22.0ms258×0valid
Compiler

Compiled 93 to 26 computations (72% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-tan: 21.0ms (35.4% of total)
ival-sin: 16.0ms (26.9% of total)
ival-div: 11.0ms (18.5% of total)
ival-mult: 6.0ms (10.1% of total)
backward-pass: 4.0ms (6.7% of total)
const: 1.0ms (1.7% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 8 computations (46.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶45.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify5.0ms (0%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize82.0ms (0.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y #s(literal 2 binary64))
✓accuracy90.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy55.2%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy54.4%
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
Results
50.0ms127×1valid
21.0ms129×0valid
Compiler

Compiled 39 to 9 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 22.0ms (50.2% of total)
ival-tan: 7.0ms (16% of total)
ival-sin: 7.0ms (16% of total)
ival-div: 5.0ms (11.4% of total)
backward-pass: 2.0ms (4.6% of total)
const: 1.0ms (2.3% of total)

series21.0ms (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
x
@inf
(/ x (* y 2))
3.0ms
y
@inf
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
3.0ms
x
@0
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
2.0ms
y
@-inf
(/ (tan (/ x (* y 2))) (sin (/ x (* y 2))))
1.0ms
y
@inf
(tan (/ x (* y 2)))

rewrite181.0ms (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)))))

simplify297.0ms (2.8%)

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))

eval96.0ms (0.9%)

Compiler

Compiled 13691 to 1752 computations (87.2% saved)

prune151.0ms (1.4%)

Pruning

56 alts after pruning (55 fresh and 1 done)

PrunedKeptTotal
New58355638
Fresh000
Picked011
Done000
Total58356639
Accuracy
60.9%
Counts
639 → 56
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.0%
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
53.9%
(pow.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))
52.0%
(pow.f64 (exp.f64 (log.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) #s(literal -1 binary64))
45.7%
(/.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)))))
9.3%
(/.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)))))
8.7%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
39.5%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.2%
(/.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))))))
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))))
8.7%
(/.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))))
8.8%
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
8.8%
(/.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)))))
45.3%
(/.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)))))
40.8%
(/.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)))))
▶45.2%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
27.4%
(/.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)))))
22.7%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
28.8%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 x (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
17.9%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
16.6%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
22.5%
(/.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)))))
22.7%
(/.f64 (tan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
21.5%
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
8.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
27.7%
(/.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))
39.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
26.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 y (*.f64 y y))))))
45.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
40.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))))
45.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
22.7%
(/.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)))))))))
17.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2 binary64)))) (*.f64 (*.f64 y #s(literal -2 binary64)) y))))
16.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y #s(literal -2 binary64)) (+.f64 (*.f64 x x) #s(literal 0 binary64))))))
45.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.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))))))
✓45.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))))))
43.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
44.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))))
45.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x))))
45.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
40.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
41.3%
(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.8%
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.8%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶45.1%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
17.6%
(/.f64 (tan.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.2%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.3%
(/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶45.7%
(/.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)))
▶55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
37.0%
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) x)) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y y))))
39.4%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
42.5%
(*.f64 (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
8.4%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
44.2%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
▶53.5%
#s(literal 1 binary64)
Compiler

Compiled 2487 to 1622 computations (34.8% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
✓cost-diff13184
(*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x))
✓cost-diff13184
(tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x)))
✓cost-diff13184
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓cost-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 #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
90×*-lowering-*.f32
90×*-lowering-*.f64
64×/-lowering-/.f32
64×/-lowering-/.f64
34×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033193
154185
278181
3100181
4112181
5162181
6167181
0167181
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (cos (/ (* x 1/2) y)))
1
(cos (/ (* x 1/2) y))
(/ (* x 1/2) y)
(* x 1/2)
x
1/2
y
1
(/ (tan (/ (/ 1 y) (/ 2 x))) (sin (/ x (* y 2))))
(tan (/ (/ 1 y) (/ 2 x)))
(/ (/ 1 y) (/ 2 x))
(/ 1 y)
1
y
(/ 2 x)
2
x
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
(/ (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 (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x))) (sin (/ x (* y 2))))
(tan (* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x)))
(* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x))
(pow (/ y 1/2) -1/2)
(/ y 1/2)
y
1/2
-1/2
(* (pow (/ y 1/2) -1/2) x)
x
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
2
Outputs
(/ 1 (cos (/ (* x 1/2) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(cos (/ (* x 1/2) y))
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ (* x 1/2) y)
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(* x 1/2)
(/.f64 x #s(literal 2 binary64))
x
1/2
#s(literal 1/2 binary64)
y
1
#s(literal 1 binary64)
(/ (tan (/ (/ 1 y) (/ 2 x))) (sin (/ x (* y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan (/ (/ 1 y) (/ 2 x)))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ (/ 1 y) (/ 2 x))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(sin (/ x (* y 2)))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ x (* y 2))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(* y 2)
(*.f64 y #s(literal 2 binary64))
(/ (sin (/ x (/ y 1/2))) (/ (+ (sin 0) (sin (/ x y))) 2))
(/.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))
(sin (/ x (/ y 1/2)))
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(/ x (/ y 1/2))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
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 (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x))) (sin (/ x (* y 2))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(tan (* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x)))
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
(* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x))
(/.f64 x (*.f64 y #s(literal 2 binary64)))
(pow (/ y 1/2) -1/2)
(pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(/ y 1/2)
(/.f64 y #s(literal 1/2 binary64))
y
1/2
#s(literal 1/2 binary64)
-1/2
#s(literal -1/2 binary64)
(* (pow (/ y 1/2) -1/2) x)
(*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
x
(sin (/ x (* y 2)))
(sin.f64 (/.f64 x (*.f64 y #s(literal 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)

localize279.0ms (2.6%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x))
✓accuracy90.7%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy55.2%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy54.4%
(tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x)))
✓accuracy100.0%
(/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64))
✓accuracy90.7%
(/.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)))
✓accuracy55.2%
(sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
✓accuracy54.8%
(sin.f64 (/.f64 x y))
✓accuracy99.2%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))
✓accuracy90.7%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy55.2%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy54.4%
(tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x)))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy100.0%
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
✓accuracy55.4%
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
Results
144.0ms127×1valid
56.0ms129×0valid
Compiler

Compiled 226 to 34 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 142.0ms
ival-sin: 33.0ms (23.2% of total)
ival-div: 31.0ms (21.8% of total)
ival-pow: 30.0ms (21.1% of total)
ival-tan: 15.0ms (10.6% of total)
ival-mult: 12.0ms (8.4% of total)
backward-pass: 9.0ms (6.3% of total)
ival-cos: 8.0ms (5.6% of total)
ival-add: 2.0ms (1.4% of total)
const: 1.0ms (0.7% of total)

series58.0ms (0.5%)

Counts
19 → 396
Calls
Call 1
Inputs
#<alt (/ 1 (cos (/ (* x 1/2) y)))>
#<alt (cos (/ (* x 1/2) y))>
#<alt (/ (* x 1/2) y)>
#<alt (* x 1/2)>
#<alt (/ (tan (/ (/ 1 y) (/ 2 x))) (sin (/ x (* y 2))))>
#<alt (tan (/ (/ 1 y) (/ 2 x)))>
#<alt (/ (/ 1 y) (/ 2 x))>
#<alt (/ 1 y)>
#<alt (/ (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 (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x))) (sin (/ x (* y 2))))>
#<alt (tan (* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x)))>
#<alt (* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x))>
#<alt (pow (/ y 1/2) -1/2)>
#<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 (* (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))>
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#<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 (/ x y)>
#<alt (* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))>
#<alt (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)>
#<alt (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)>
#<alt (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (sin (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)>
#<alt (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)>
#<alt (* 1/2 (/ x y))>
#<alt (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y))>
Calls

99 calls:

TimeVariablePointExpression
8.0ms
y
@-inf
(/ (tan (* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x))) (sin (/ x (* y 2))))
7.0ms
y
@inf
(/ 1 (cos (/ (* x 1/2) y)))
4.0ms
x
@-inf
(/ (sin (/ x (/ y 1/2))) (/ (+ (sin 0) (sin (/ x y))) 2))
3.0ms
y
@inf
(/ (tan (* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x))) (sin (/ x (* y 2))))
3.0ms
x
@0
(/ (tan (* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x))) (sin (/ x (* y 2))))

rewrite373.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
3454×*-lowering-*.f32
3454×*-lowering-*.f64
2776×/-lowering-/.f32
2776×/-lowering-/.f64
908×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033106
117098
296198
0863398
Stop Event
1×iter limit
1×node limit
Counts
19 → 1268
Calls
Call 1
Inputs
(/ 1 (cos (/ (* x 1/2) y)))
(cos (/ (* x 1/2) y))
(/ (* x 1/2) y)
(* x 1/2)
(/ (tan (/ (/ 1 y) (/ 2 x))) (sin (/ x (* y 2))))
(tan (/ (/ 1 y) (/ 2 x)))
(/ (/ 1 y) (/ 2 x))
(/ 1 y)
(/ (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 (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x))) (sin (/ x (* y 2))))
(tan (* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x)))
(* (pow (/ y 1/2) -1/2) (* (pow (/ y 1/2) -1/2) x))
(pow (/ y 1/2) -1/2)
(sin (/ x (* y 2)))
(sin (/ x y))
(sin (/ x (/ y 1/2)))
Outputs
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 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 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal -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 2 binary64) (sin.f64 (/.f64 x y))) (/.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 1 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64))
(/.f64 (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))) #s(literal -1/2 binary64))
(/.f64 (*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))))
(/.f64 (*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y)))))
(/.f64 (*.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 y)) #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 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 y))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))))
(/.f64 (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (sin.f64 (/.f64 x y)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.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 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (sin.f64 (/.f64 x y)))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))))
(/.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64)) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (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 y x)))))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(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 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 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 #s(literal 2 binary64) (sin.f64 (/.f64 x y))))
(*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.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 #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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))))
(*.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 #s(literal -2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))
(*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 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)))
(*.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 -2 binary64) (sin.f64 (/.f64 x y))) (-.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 y))) (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (sin.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))))) (-.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 y))) (*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 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 (pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #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))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
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(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))))
(*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3/2 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 y x)))))))
(*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 3/2 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 y x))))))))
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(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(*.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))))
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(*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))))) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))))
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(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(neg.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))

simplify400.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
5150×+-lowering-+.f64
5150×+-lowering-+.f32
5018×*-lowering-*.f32
5018×*-lowering-*.f64
1636×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08257506
128306840
090526840
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
1
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1
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1
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1
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1
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1
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1
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(+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))) (pow y 2))) (+ (* 2 (/ (- (* -1/645120 (pow x 6)) (+ (* -1/6 (* (pow x 2) (- (* 1/3840 (pow x 4)) (+ (* -1/6 (* (pow x 2) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))))) (* 1/240 (pow x 4)))))) (+ (* -1/10080 (pow x 6)) (* 1/120 (* (pow x 4) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2)))))))) (pow y 6))) (* 2 (/ (- (* 1/3840 (pow x 4)) (+ (* -1/6 (* (pow x 2) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))))) (* 1/240 (pow x 4)))) (pow y 4))))))
(* 1/2 (/ x y))
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(* x (+ (* (pow x 2) (- (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/12 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/10080 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/12 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* 1/2 (sin (/ x y)))
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(* 1/2 (sin (/ x y)))
(* 1/2 (sin (/ x y)))
(* 1/2 (sin (/ x y)))
(* 1/2 (sin (/ x y)))
(* 1/2 (sin (/ x y)))
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(* 1/2 (sin (/ x y)))
(* 1/2 (sin (/ x y)))
(* 1/2 (/ x y))
(/ (+ (* -1/12 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)
(/ (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/ (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* -1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(* 1/2 (/ x y))
(* -1 (/ (+ (* -1/2 x) (* 1/12 (/ (pow x 3) (pow y 2)))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2)))))) y))
(/ 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))
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(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(* 2 (pow (sqrt 1/2) 2))
(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (* 2 (pow (sqrt 1/2) 2))) (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))))
(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (+ (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) (* x (pow y 4)))) (* 2 (pow (sqrt 1/2) 2)))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 4))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4))))))
(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt 1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt 1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))))))) (* x (pow y 6)))) (+ (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) (* x (pow y 4)))) (* 2 (pow (sqrt 1/2) 2))))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2)))))) (* 1/960 (* (pow x 4) (pow (sqrt 1/2) 2)))))) (pow y 6))) (+ (* -1/161280 (/ (* (pow x 6) (pow (sqrt 1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 6))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4)))))))))
(* -2 (pow (sqrt -1/2) 2))
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (* -2 (pow (sqrt -1/2) 2))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))))
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) (* x (pow y 4)))) (* -2 (pow (sqrt -1/2) 2)))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 4))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt -1/2) 2)) (pow y 4))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))))))
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt -1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt -1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))))))) (* x (pow y 6)))) (+ (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) (* x (pow y 4)))) (* -2 (pow (sqrt -1/2) 2))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2)))))) (* -1/960 (* (pow x 4) (pow (sqrt -1/2) 2)))))) (pow y 6))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt -1/2) 2)) (pow y 4))) (+ (* 1/161280 (/ (* (pow x 6) (pow (sqrt -1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 6))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2)))))))))
(* 2 (pow (sqrt 1/2) 2))
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))))
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))))
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (+ (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* (pow x 2) (- (* 2 (* y (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))) (pow y 2))) (+ (* -1/161280 (/ (pow (sqrt 1/2) 2) (pow y 6))) (* 1/1920 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y)))))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* 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 x 2) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(* x (+ (* (pow x 2) (- (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (- (+ (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (* (pow x 2) (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ (* 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)
(/ (* 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)
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2)))
(* 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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(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 61/46080 binary64) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))))))))
(/ 1 (cos (* 1/2 (/ x y))))
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(/ 1 (cos (* 1/2 (/ x y))))
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(/ 1 (cos (* 1/2 (/ x y))))
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(/ 1 (cos (* 1/2 (/ x y))))
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(/ 1 (cos (* 1/2 (/ x y))))
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1
#s(literal 1 binary64)
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(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
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(- (+ 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))))))
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1
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(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
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(- (+ 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))))))
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1
#s(literal 1 binary64)
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(+ 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))))))
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(cos (* 1/2 (/ x y)))
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(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
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(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
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(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(cos (* 1/2 (/ x y)))
(cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
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1
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(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
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(*.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 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)))) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y y))) (neg.f64 y))
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/48 binary64)) (*.f64 y y)) (+.f64 (/.f64 (*.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))

eval271.0ms (2.6%)

Compiler

Compiled 37275 to 3404 computations (90.9% saved)

prune316.0ms (3%)

Pruning

82 alts after pruning (78 fresh and 4 done)

PrunedKeptTotal
New1691431734
Fresh153550
Picked235
Done011
Total1708821790
Accuracy
61.6%
Counts
1790 → 82
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.9%
(pow.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))
9.3%
(/.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)))))
39.5%
(/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.7%
(/.f64 (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (sin.f64 (/.f64 x y)))
45.7%
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) (cos.f64 #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.2%
(/.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
8.8%
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
45.3%
(/.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)))))
40.8%
(/.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)))))
39.2%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
✓45.2%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
27.4%
(/.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)))))
22.9%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (/.f64 y x) y))) (*.f64 #s(literal -2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
28.8%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 x (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
17.9%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
16.6%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
22.5%
(/.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)))))
22.7%
(/.f64 (tan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.0%
(/.f64 (tan.f64 (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 y))) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
21.5%
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
8.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
39.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
45.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
40.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))))
45.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
22.7%
(/.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)))))))))
17.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2 binary64)))) (*.f64 (*.f64 y #s(literal -2 binary64)) y))))
45.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.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))))))
✓45.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))))))
43.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
44.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))))
45.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x))))
45.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
40.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
41.3%
(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.6%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
39.5%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
41.4%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 y #s(literal 1/2 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.1%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.6%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y #s(literal 1/2 binary64))))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
17.6%
(/.f64 (tan.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.2%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.7%
(/.f64 (tan.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.3%
(/.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)))))
39.6%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (/.f64 x y) #s(literal 2 binary64)))
43.9%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (+.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
8.4%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))) (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 y x)))))) #s(literal 2 binary64)))
43.9%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 2 binary64)))))))
▶44.2%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
9.1%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))) (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y)))))
44.2%
(/.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)))))))
45.8%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
44.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
40.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))))
44.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x y))))
8.1%
(/.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 y x))))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))
54.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) y)))
55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
43.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (/.f64 y x) y))) (*.f64 #s(literal -2 binary64) (/.f64 x y)))))
55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))) y)))
✓55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
54.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) y)))
55.0%
(/.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)))))
55.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)))))))
55.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) x)))))
55.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))))))
55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))))
▶55.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))))
▶54.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
▶54.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)))))))
55.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
55.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
▶39.4%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
42.5%
(*.f64 (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
8.3%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))) #s(literal 1/2 binary64)))
9.1%
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))))) (sin.f64 (/.f64 x y)))
8.4%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
44.2%
(*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
44.2%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
✓53.5%
#s(literal 1 binary64)
Compiler

Compiled 3321 to 2219 computations (33.2% saved)

simplify55.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))
✓cost-diff0
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)))))
✓cost-diff0
(cos.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)))))))
✓cost-diff0
(pow.f64 y #s(literal -1/2 binary64))
✓cost-diff13056
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))
✓cost-diff13056
(cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x))))
✓cost-diff13056
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
✓cost-diff0
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
✓cost-diff0
(sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))))
✓cost-diff128
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
✓cost-diff0
(pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
✓cost-diff13184
(*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))
✓cost-diff13184
(cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))
✓cost-diff13184
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))))
Rules
828×*-lowering-*.f32
828×*-lowering-*.f64
584×associate-*r*
472×associate-*l*
196×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041296
180295
2152251
3267251
4320237
5343237
6569237
71000237
81037237
91074237
101099237
111107237
121114237
131131237
141149237
151165237
01165237
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (cos (* (pow (/ y 1/2) -1/2) (* x (pow (/ y 1/2) -1/2)))))
1
(cos (* (pow (/ y 1/2) -1/2) (* x (pow (/ y 1/2) -1/2))))
(* (pow (/ y 1/2) -1/2) (* x (pow (/ y 1/2) -1/2)))
(pow (/ y 1/2) -1/2)
(/ y 1/2)
y
1/2
-1/2
(* x (pow (/ y 1/2) -1/2))
x
(+ 1 (/ (* 1/8 (* x x)) (* y y)))
1
(/ (* 1/8 (* x x)) (* y y))
(* 1/8 (* x x))
1/8
(* x x)
x
(* y y)
y
(/ (sin (/ x (/ y 1/2))) (/ 1 (/ 2 (sin (/ x y)))))
(sin (/ x (/ y 1/2)))
(/ x (/ y 1/2))
x
(/ y 1/2)
y
1/2
(/ 1 (/ 2 (sin (/ x y))))
1
(/ 2 (sin (/ x y)))
2
(sin (/ x y))
(/ x y)
(/ 1 (cos (* (pow y -1/2) (/ (pow y -1/2) (/ 2 x)))))
1
(cos (* (pow y -1/2) (/ (pow y -1/2) (/ 2 x))))
(* (pow y -1/2) (/ (pow y -1/2) (/ 2 x)))
(pow y -1/2)
y
-1/2
(/ (pow y -1/2) (/ 2 x))
(/ 2 x)
2
x
(/ 1 (cos (* (pow 2 -1/4) (* (pow y -1/4) (* x (pow (/ y 1/2) -3/4))))))
1
(cos (* (pow 2 -1/4) (* (pow y -1/4) (* x (pow (/ y 1/2) -3/4)))))
(* (pow 2 -1/4) (* (pow y -1/4) (* x (pow (/ y 1/2) -3/4))))
(pow 2 -1/4)
2
-1/4
(* (pow y -1/4) (* x (pow (/ y 1/2) -3/4)))
(pow y -1/4)
y
(* x (pow (/ y 1/2) -3/4))
x
(pow (/ y 1/2) -3/4)
(/ y 1/2)
1/2
-3/4
Outputs
(/ 1 (cos (* (pow (/ y 1/2) -1/2) (* x (pow (/ y 1/2) -1/2)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
1
#s(literal 1 binary64)
(cos (* (pow (/ y 1/2) -1/2) (* x (pow (/ y 1/2) -1/2))))
(cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* (pow (/ y 1/2) -1/2) (* x (pow (/ y 1/2) -1/2)))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(pow (/ y 1/2) -1/2)
(pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(/ y 1/2)
(/.f64 y #s(literal 1/2 binary64))
y
1/2
#s(literal 1/2 binary64)
-1/2
#s(literal -1/2 binary64)
(* x (pow (/ y 1/2) -1/2))
(*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x)
x
(+ 1 (/ (* 1/8 (* x x)) (* y y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 y (/.f64 y (*.f64 x x)))))
1
#s(literal 1 binary64)
(/ (* 1/8 (* x x)) (* y y))
(/.f64 #s(literal 1/8 binary64) (*.f64 y (/.f64 y (*.f64 x x))))
(* 1/8 (* x x))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
1/8
#s(literal 1/8 binary64)
(* x x)
(*.f64 x x)
x
(* y y)
(*.f64 y y)
y
(/ (sin (/ x (/ y 1/2))) (/ 1 (/ 2 (sin (/ x y)))))
(/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y))))
(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)
(/ 1 (/ 2 (sin (/ x y))))
(*.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y)))
1
#s(literal 1 binary64)
(/ 2 (sin (/ x y)))
(/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))
2
#s(literal 2 binary64)
(sin (/ x y))
(sin.f64 (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ 1 (cos (* (pow y -1/2) (/ (pow y -1/2) (/ 2 x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
1
#s(literal 1 binary64)
(cos (* (pow y -1/2) (/ (pow y -1/2) (/ 2 x))))
(cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* (pow y -1/2) (/ (pow y -1/2) (/ 2 x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(pow y -1/2)
(pow.f64 y #s(literal -1/2 binary64))
y
-1/2
#s(literal -1/2 binary64)
(/ (pow y -1/2) (/ 2 x))
(/.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(/ 1 (cos (* (pow 2 -1/4) (* (pow y -1/4) (* x (pow (/ y 1/2) -3/4))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)) (*.f64 x (pow.f64 y #s(literal -1/4 binary64)))))))
1
#s(literal 1 binary64)
(cos (* (pow 2 -1/4) (* (pow y -1/4) (* x (pow (/ y 1/2) -3/4)))))
(cos.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)) (*.f64 x (pow.f64 y #s(literal -1/4 binary64))))))
(* (pow 2 -1/4) (* (pow y -1/4) (* x (pow (/ y 1/2) -3/4))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)) (*.f64 x (pow.f64 y #s(literal -1/4 binary64)))))
(pow 2 -1/4)
(pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))
2
#s(literal 2 binary64)
-1/4
#s(literal -1/4 binary64)
(* (pow y -1/4) (* x (pow (/ y 1/2) -3/4)))
(*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)) (*.f64 x (pow.f64 y #s(literal -1/4 binary64))))
(pow y -1/4)
(pow.f64 y #s(literal -1/4 binary64))
y
(* x (pow (/ y 1/2) -3/4))
(*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)))
x
(pow (/ y 1/2) -3/4)
(pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))
(/ y 1/2)
(/.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
-3/4
#s(literal -3/4 binary64)

localize668.0ms (6.3%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)))))
✓accuracy99.6%
(*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)))
✓accuracy99.5%
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))))
✓accuracy55.4%
(cos.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))))))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
✓accuracy99.5%
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))
✓accuracy99.2%
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x))
✓accuracy55.4%
(cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x))))
✓accuracy98.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))))
✓accuracy90.7%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
✓accuracy55.2%
(sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
✓accuracy54.8%
(sin.f64 (/.f64 x y))
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓accuracy71.1%
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))))
✓accuracy99.6%
(*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
✓accuracy99.5%
(*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))
✓accuracy55.4%
(cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))))
Results
362.0ms127×1valid
183.0ms129×0valid
Compiler

Compiled 299 to 42 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 302.0ms
ival-pow: 133.0ms (44% of total)
ival-div: 61.0ms (20.2% of total)
ival-mult: 59.0ms (19.5% of total)
ival-cos: 20.0ms (6.6% of total)
ival-sin: 15.0ms (5% of total)
backward-pass: 10.0ms (3.3% of total)
const: 2.0ms (0.7% of total)
ival-add: 2.0ms (0.7% of total)

series279.0ms (2.6%)

Counts
26 → 540
Calls
Call 1
Inputs
#<alt (/ 1 (cos (* (pow (/ y 1/2) -1/2) (* x (pow (/ y 1/2) -1/2)))))>
#<alt (cos (* (pow (/ y 1/2) -1/2) (* x (pow (/ y 1/2) -1/2))))>
#<alt (* (pow (/ y 1/2) -1/2) (* x (pow (/ y 1/2) -1/2)))>
#<alt (pow (/ y 1/2) -1/2)>
#<alt (+ 1 (/ (* 1/8 (* x x)) (* y y)))>
#<alt (/ (* 1/8 (* x x)) (* y y))>
#<alt (* 1/8 (* x x))>
#<alt (* x x)>
#<alt (/ (sin (/ x (/ y 1/2))) (/ 1 (/ 2 (sin (/ x y)))))>
#<alt (/ 1 (/ 2 (sin (/ x y))))>
#<alt (sin (/ x (/ y 1/2)))>
#<alt (/ x (/ y 1/2))>
#<alt (/ 1 (cos (* (pow y -1/2) (/ (pow y -1/2) (/ 2 x)))))>
#<alt (cos (* (pow y -1/2) (/ (pow y -1/2) (/ 2 x))))>
#<alt (* (pow y -1/2) (/ (pow y -1/2) (/ 2 x)))>
#<alt (pow y -1/2)>
#<alt (/ 1 (cos (* (pow 2 -1/4) (* (pow y -1/4) (* x (pow (/ y 1/2) -3/4))))))>
#<alt (cos (* (pow 2 -1/4) (* (pow y -1/4) (* x (pow (/ y 1/2) -3/4)))))>
#<alt (* (pow 2 -1/4) (* (pow y -1/4) (* x (pow (/ y 1/2) -3/4))))>
#<alt (pow 2 -1/4)>
#<alt (* x (pow (/ y 1/2) -1/2))>
#<alt (* y y)>
#<alt (sin (/ x y))>
#<alt (/ (pow y -1/2) (/ 2 x))>
#<alt (* (pow y -1/4) (* x (pow (/ y 1/2) -3/4)))>
#<alt (* x (pow (/ y 1/2) -3/4))>
Outputs
#<alt (/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))>
#<alt (/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))>
#<alt (/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))>
#<alt (/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))>
#<alt 1>
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#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))>
#<alt (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))))>
#<alt (+ 1 (+ (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))) (* 1/384 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4)))))>
#<alt (+ 1 (+ (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))) (+ (* -1/46080 (/ (* (pow x 6) (pow (sqrt -1) 12)) (pow y 6))) (* 1/384 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (cos (* 1/2 (/ x y)))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* -1/2 (/ (* x (pow (sqrt -1) 2)) y))>
#<alt (* -1/2 (/ (* x (pow (sqrt -1) 2)) y))>
#<alt (* -1/2 (/ (* x (pow (sqrt -1) 2)) y))>
#<alt (* -1/2 (/ (* x (pow (sqrt -1) 2)) y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (* 1/2 (/ x y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))>
#<alt (/ 1 (cos (* (pow 1/16 1/4) (/ x y))))>
#<alt (/ 1 (cos (* (pow 1/16 1/4) (/ x y))))>
#<alt (/ 1 (cos (* (pow 1/16 1/4) (/ x y))))>
#<alt (/ 1 (cos (* (pow 1/16 1/4) (/ x y))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (/ 1 (cos (* (pow 1/16 1/4) (/ x y))))>
#<alt (/ 1 (cos (* (pow 1/16 1/4) (/ x y))))>
#<alt (/ 1 (cos (* (pow 1/16 1/4) (/ x y))))>
#<alt (/ 1 (cos (* (pow 1/16 1/4) (/ x y))))>
#<alt (/ 1 (cos (* (pow 1/16 1/4) (/ x y))))>
#<alt (/ 1 (cos (* (pow 1/16 1/4) (/ x y))))>
#<alt (/ 1 (cos (* (pow 1/16 1/4) (/ x y))))>
#<alt (/ 1 (cos (* (pow 1/16 1/4) (/ x y))))>
#<alt (cos (* (pow 1/16 1/4) (/ x y)))>
#<alt (cos (* (pow 1/16 1/4) (/ x y)))>
#<alt (cos (* (pow 1/16 1/4) (/ x y)))>
#<alt (cos (* (pow 1/16 1/4) (/ 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 (* (pow 1/16 1/4) (/ x y)))>
#<alt (cos (* (pow 1/16 1/4) (/ x y)))>
#<alt (cos (* (pow 1/16 1/4) (/ x y)))>
#<alt (cos (* (pow 1/16 1/4) (/ x y)))>
#<alt (cos (* (pow 1/16 1/4) (/ x y)))>
#<alt (cos (* (pow 1/16 1/4) (/ x y)))>
#<alt (cos (* (pow 1/16 1/4) (/ x y)))>
#<alt (cos (* (pow 1/16 1/4) (/ x y)))>
#<alt (* (pow 1/16 1/4) (/ x y))>
#<alt (* (pow 1/16 1/4) (/ x y))>
#<alt (* (pow 1/16 1/4) (/ x y))>
#<alt (* (pow 1/16 1/4) (/ x y))>
#<alt (* (pow 1/16 1/4) (/ x y))>
#<alt (* (pow 1/16 1/4) (/ x y))>
#<alt (* (pow 1/16 1/4) (/ x y))>
#<alt (* (pow 1/16 1/4) (/ x y))>
#<alt (* -1 (* (pow 1/16 1/4) (/ x y)))>
#<alt (* -1 (* (pow 1/16 1/4) (/ x y)))>
#<alt (* -1 (* (pow 1/16 1/4) (/ x y)))>
#<alt (* -1 (* (pow 1/16 1/4) (/ x y)))>
#<alt (* (pow 1/16 1/4) (/ x y))>
#<alt (* (pow 1/16 1/4) (/ x y))>
#<alt (* (pow 1/16 1/4) (/ x y))>
#<alt (* (pow 1/16 1/4) (/ x y))>
#<alt (* (pow 1/16 1/4) (/ x y))>
#<alt (* (pow 1/16 1/4) (/ x y))>
#<alt (* (pow 1/16 1/4) (/ x y))>
#<alt (* (pow 1/16 1/4) (/ x y))>
#<alt (* (pow 1/16 1/4) (/ x y))>
#<alt (* (pow 1/16 1/4) (/ x y))>
#<alt (* (pow 1/16 1/4) (/ x y))>
#<alt (* (pow 1/16 1/4) (/ x y))>
#<alt (* (* x (sqrt 1/2)) (sqrt (/ 1 y)))>
#<alt (* (* x (sqrt 1/2)) (sqrt (/ 1 y)))>
#<alt (* (* x (sqrt 1/2)) (sqrt (/ 1 y)))>
#<alt (* (* x (sqrt 1/2)) (sqrt (/ 1 y)))>
#<alt (* (* x (sqrt 1/2)) (sqrt (/ 1 y)))>
#<alt (* (* x (sqrt 1/2)) (sqrt (/ 1 y)))>
#<alt (* (* x (sqrt 1/2)) (sqrt (/ 1 y)))>
#<alt (* (* x (sqrt 1/2)) (sqrt (/ 1 y)))>
#<alt (* (* x (sqrt 1/2)) (sqrt (/ 1 y)))>
#<alt (* (* x (sqrt 1/2)) (sqrt (/ 1 y)))>
#<alt (* (* x (sqrt 1/2)) (sqrt (/ 1 y)))>
#<alt (* (* x (sqrt 1/2)) (sqrt (/ 1 y)))>
#<alt (* (* x (sqrt 1/2)) (sqrt (/ 1 y)))>
#<alt (* (* x (sqrt 1/2)) (sqrt (/ 1 y)))>
#<alt (* (* x (sqrt 1/2)) (sqrt (/ 1 y)))>
#<alt (* (* x (sqrt 1/2)) (sqrt (/ 1 y)))>
#<alt (* (* x (sqrt 1/2)) (sqrt (/ 1 y)))>
#<alt (* (* x (sqrt 1/2)) (sqrt (/ 1 y)))>
#<alt (* (* x (sqrt 1/2)) (sqrt (/ 1 y)))>
#<alt (* (* x (sqrt 1/2)) (sqrt (/ 1 y)))>
#<alt (* (* x (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 y)))>
#<alt (* (* x (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 y)))>
#<alt (* (* x (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 y)))>
#<alt (* (* x (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 y)))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (/ x y)>
#<alt (* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))>
#<alt (* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y)))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (sin (/ x y))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)>
#<alt (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)>
#<alt (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y))>
#<alt (* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y))>
#<alt (* 1/2 (* x (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 (* (pow 1/8 1/4) (/ x y))>
#<alt (* (pow 1/8 1/4) (/ x y))>
#<alt (* (pow 1/8 1/4) (/ x y))>
#<alt (* (pow 1/8 1/4) (/ x y))>
#<alt (* (pow 1/8 1/4) (/ x y))>
#<alt (* (pow 1/8 1/4) (/ x y))>
#<alt (* (pow 1/8 1/4) (/ x y))>
#<alt (* (pow 1/8 1/4) (/ x y))>
#<alt (* -1 (* (pow 1/8 1/4) (/ x y)))>
#<alt (* -1 (* (pow 1/8 1/4) (/ x y)))>
#<alt (* -1 (* (pow 1/8 1/4) (/ x y)))>
#<alt (* -1 (* (pow 1/8 1/4) (/ x y)))>
#<alt (* (pow 1/8 1/4) (/ x y))>
#<alt (* (pow 1/8 1/4) (/ x y))>
#<alt (* (pow 1/8 1/4) (/ x y))>
#<alt (* (pow 1/8 1/4) (/ x y))>
#<alt (* (pow 1/8 1/4) (/ x y))>
#<alt (* (pow 1/8 1/4) (/ x y))>
#<alt (* (pow 1/8 1/4) (/ x y))>
#<alt (* (pow 1/8 1/4) (/ x y))>
#<alt (* (pow 1/8 1/4) (/ x y))>
#<alt (* (pow 1/8 1/4) (/ x y))>
#<alt (* (pow 1/8 1/4) (/ x y))>
#<alt (* (pow 1/8 1/4) (/ x y))>
#<alt (* (pow (/ 1/8 (pow y 3)) 1/4) x)>
#<alt (* (pow (/ 1/8 (pow y 3)) 1/4) x)>
#<alt (* (pow (/ 1/8 (pow y 3)) 1/4) x)>
#<alt (* (pow (/ 1/8 (pow y 3)) 1/4) x)>
#<alt (* (pow (/ 1/8 (pow y 3)) 1/4) x)>
#<alt (* (pow (/ 1/8 (pow y 3)) 1/4) x)>
#<alt (* (pow (/ 1/8 (pow y 3)) 1/4) x)>
#<alt (* (pow (/ 1/8 (pow y 3)) 1/4) x)>
#<alt (* (pow (/ 1/8 (pow y 3)) 1/4) x)>
#<alt (* (pow (/ 1/8 (pow y 3)) 1/4) x)>
#<alt (* (pow (/ 1/8 (pow y 3)) 1/4) x)>
#<alt (* (pow (/ 1/8 (pow y 3)) 1/4) x)>
#<alt (* x (exp (* 1/4 (+ (log 1/8) (* -3 (log y))))))>
#<alt (* x (exp (* 1/4 (+ (log 1/8) (* -3 (log y))))))>
#<alt (* x (exp (* 1/4 (+ (log 1/8) (* -3 (log y))))))>
#<alt (* x (exp (* 1/4 (+ (log 1/8) (* -3 (log y))))))>
#<alt (* x (exp (* 1/4 (+ (log 1/8) (* 3 (log (/ 1 y)))))))>
#<alt (* x (exp (* 1/4 (+ (log 1/8) (* 3 (log (/ 1 y)))))))>
#<alt (* x (exp (* 1/4 (+ (log 1/8) (* 3 (log (/ 1 y)))))))>
#<alt (* x (exp (* 1/4 (+ (log 1/8) (* 3 (log (/ 1 y)))))))>
#<alt (* x (exp (* 1/4 (+ (log -1/8) (* 3 (log (/ -1 y)))))))>
#<alt (* x (exp (* 1/4 (+ (log -1/8) (* 3 (log (/ -1 y)))))))>
#<alt (* x (exp (* 1/4 (+ (log -1/8) (* 3 (log (/ -1 y)))))))>
#<alt (* x (exp (* 1/4 (+ (log -1/8) (* 3 (log (/ -1 y)))))))>
Calls

135 calls:

TimeVariablePointExpression
45.0ms
y
@0
(* (pow 2 -1/4) (* (pow y -1/4) (* x (pow (/ y 1/2) -3/4))))
41.0ms
x
@inf
(/ (* 1/8 (* x x)) (* y y))
36.0ms
y
@0
(* (pow y -1/4) (* x (pow (/ y 1/2) -3/4)))
28.0ms
x
@0
(* x (pow (/ y 1/2) -3/4))
16.0ms
y
@-inf
(* x (pow (/ y 1/2) -3/4))

rewrite380.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
4062×*-lowering-*.f32
4062×*-lowering-*.f64
3138×/-lowering-/.f32
3138×/-lowering-/.f64
1154×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041235
1201234
21131152
08561152
Stop Event
1×iter limit
1×node limit
Counts
26 → 830
Calls
Call 1
Inputs
(/ 1 (cos (* (pow (/ y 1/2) -1/2) (* x (pow (/ y 1/2) -1/2)))))
(cos (* (pow (/ y 1/2) -1/2) (* x (pow (/ y 1/2) -1/2))))
(* (pow (/ y 1/2) -1/2) (* x (pow (/ y 1/2) -1/2)))
(pow (/ y 1/2) -1/2)
(+ 1 (/ (* 1/8 (* x x)) (* y y)))
(/ (* 1/8 (* x x)) (* y y))
(* 1/8 (* x x))
(* x x)
(/ (sin (/ x (/ y 1/2))) (/ 1 (/ 2 (sin (/ x y)))))
(/ 1 (/ 2 (sin (/ x y))))
(sin (/ x (/ y 1/2)))
(/ x (/ y 1/2))
(/ 1 (cos (* (pow y -1/2) (/ (pow y -1/2) (/ 2 x)))))
(cos (* (pow y -1/2) (/ (pow y -1/2) (/ 2 x))))
(* (pow y -1/2) (/ (pow y -1/2) (/ 2 x)))
(pow y -1/2)
(/ 1 (cos (* (pow 2 -1/4) (* (pow y -1/4) (* x (pow (/ y 1/2) -3/4))))))
(cos (* (pow 2 -1/4) (* (pow y -1/4) (* x (pow (/ y 1/2) -3/4)))))
(* (pow 2 -1/4) (* (pow y -1/4) (* x (pow (/ y 1/2) -3/4))))
(pow 2 -1/4)
(* x (pow (/ y 1/2) -1/2))
(* y y)
(sin (/ x y))
(/ (pow y -1/2) (/ 2 x))
(* (pow y -1/4) (* x (pow (/ y 1/2) -3/4)))
(* x (pow (/ y 1/2) -3/4))
Outputs
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(pow.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 (pow.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1 binary64))))
(cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(cos.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(-.f64 #s(literal 0 binary64) (/.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal 1 binary64)))
(/.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
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(pow.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 1 binary64))
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(*.f64 (*.f64 (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -1/8 binary64)))
(*.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/8 binary64))) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/8 binary64)))
(*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)))
(*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)) x)
(*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/8 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/8 binary64)) x))
(*.f64 (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/8 binary64))) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/8 binary64)))

simplify415.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
4682×*-lowering-*.f32
4682×*-lowering-*.f64
3068×+-lowering-+.f64
3068×+-lowering-+.f32
1528×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05315875
116424996
256084856
082214856
Stop Event
1×iter limit
1×node limit
Counts
540 → 540
Calls
Call 1
Inputs
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
1
(+ 1 (* 1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/4 (* (pow x 4) (pow (sqrt 1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt 1/2) 8)))) (pow y 4)))) (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/720 (* (pow x 6) (pow (sqrt 1/2) 12))) (+ (* 1/48 (* (pow x 6) (pow (sqrt 1/2) 12))) (* 1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (+ (* -1/4 (* (pow x 4) (pow (sqrt 1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt 1/2) 8))))))))) (pow y 6)))) (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))) (+ (* -1/4 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (pow y 4))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (pow y 4))))))
1
(+ 1 (* 1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/4 (* (pow x 4) (pow (sqrt -1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt -1/2) 8)))) (pow y 4)))) (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/720 (* (pow x 6) (pow (sqrt -1/2) 12))) (+ (* 1/48 (* (pow x 6) (pow (sqrt -1/2) 12))) (* 1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (+ (* -1/4 (* (pow x 4) (pow (sqrt -1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt -1/2) 8))))))))) (pow y 6)))) (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))) (+ (* -1/4 (/ (* (pow x 4) (pow (sqrt -1/2) 8)) (pow y 4))) (* 1/24 (/ (* (pow x 4) (pow (sqrt -1/2) 8)) (pow y 4))))))
1
(+ 1 (* 1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))))
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(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 (/ (pow (sqrt 1/2) 12) (pow y 6))) (+ (* 1/48 (/ (pow (sqrt 1/2) 12) (pow y 6))) (* 1/2 (/ (* (pow (sqrt 1/2) 4) (+ (* -1/4 (/ (pow (sqrt 1/2) 8) (pow y 4))) (* 1/24 (/ (pow (sqrt 1/2) 8) (pow y 4))))) (pow y 2))))))) (+ (* -1/4 (/ (pow (sqrt 1/2) 8) (pow y 4))) (* 1/24 (/ (pow (sqrt 1/2) 8) (pow y 4)))))) (* -1/2 (/ (pow (sqrt 1/2) 4) (pow y 2))))))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(cos (/ (* x (pow (sqrt 1/2) 2)) y))
(cos (/ (* x (pow (sqrt 1/2) 2)) y))
(cos (/ (* x (pow (sqrt 1/2) 2)) y))
(cos (/ (* x (pow (sqrt 1/2) 2)) y))
1
(+ 1 (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))))
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (pow y 4)))))
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 6) (pow (sqrt 1/2) 12)) (pow y 6))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (pow y 4))))))
1
(+ 1 (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))))
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(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 6) (pow (sqrt -1/2) 12)) (pow y 6))) (* 1/24 (/ (* (pow x 4) (pow (sqrt -1/2) 8)) (pow y 4))))))
1
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(cos (/ (* x (pow (sqrt 1/2) 2)) y))
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(cos (/ (* x (pow (sqrt 1/2) 2)) y))
(cos (/ (* x (pow (sqrt 1/2) 2)) y))
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(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (sqrt 1/2))
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2)))
1
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(* 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))))
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(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
1
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(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
(* 1/8 (/ (pow x 2) (pow y 2)))
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(* 1/8 (pow x 2))
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(* 1/8 (pow x 2))
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(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(* 1/8 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
(* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))
1
(+ 1 (* 2 (/ (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))) (pow y 2))))
(+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))) (pow y 2))) (* 2 (/ (- (* 1/3840 (pow x 4)) (+ (* -1/6 (* (pow x 2) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))))) (* 1/240 (pow x 4)))) (pow y 4)))))
(+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))) (pow y 2))) (+ (* 2 (/ (- (* -1/645120 (pow x 6)) (+ (* -1/6 (* (pow x 2) (- (* 1/3840 (pow x 4)) (+ (* -1/6 (* (pow x 2) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))))) (* 1/240 (pow x 4)))))) (+ (* -1/10080 (pow x 6)) (* 1/120 (* (pow x 4) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2)))))))) (pow y 6))) (* 2 (/ (- (* 1/3840 (pow x 4)) (+ (* -1/6 (* (pow x 2) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))))) (* 1/240 (pow x 4)))) (pow y 4))))))
1
(+ 1 (* 2 (/ (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))) (pow y 2))))
(+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))) (pow y 2))) (* 2 (/ (- (* 1/3840 (pow x 4)) (+ (* -1/6 (* (pow x 2) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))))) (* 1/240 (pow x 4)))) (pow y 4)))))
(+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))) (pow y 2))) (+ (* 2 (/ (- (* -1/645120 (pow x 6)) (+ (* -1/6 (* (pow x 2) (- (* 1/3840 (pow x 4)) (+ (* -1/6 (* (pow x 2) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))))) (* 1/240 (pow x 4)))))) (+ (* -1/10080 (pow x 6)) (* 1/120 (* (pow x 4) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2)))))))) (pow y 6))) (* 2 (/ (- (* 1/3840 (pow x 4)) (+ (* -1/6 (* (pow x 2) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))))) (* 1/240 (pow x 4)))) (pow y 4))))))
(* 1/2 (/ x y))
(* x (+ (* -1/12 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/12 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/10080 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/12 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))
(* 1/2 (sin (/ x y)))
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(/ (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* -1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
(* 1/2 (/ x y))
(* -1 (/ (+ (* -1/2 x) (* 1/12 (/ (pow x 3) (pow y 2)))) y))
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y)
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y)
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1
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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
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(/ 1 (cos (* 1/2 (/ x y))))
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1
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1
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1
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(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(cos (* 1/2 (/ x y)))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
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(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* -1/2 (/ (* x (pow (sqrt -1) 2)) y))
(* -1/2 (/ (* x (pow (sqrt -1) 2)) y))
(* -1/2 (/ (* x (pow (sqrt -1) 2)) y))
(* -1/2 (/ (* x (pow (sqrt -1) 2)) y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(/ 1 (cos (* (pow 1/16 1/4) (/ x y))))
(/ 1 (cos (* (pow 1/16 1/4) (/ x y))))
(/ 1 (cos (* (pow 1/16 1/4) (/ x y))))
(/ 1 (cos (* (pow 1/16 1/4) (/ x y))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2))))
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(/ 1 (cos (* (pow 1/16 1/4) (/ x y))))
(/ 1 (cos (* (pow 1/16 1/4) (/ x y))))
(/ 1 (cos (* (pow 1/16 1/4) (/ x y))))
(/ 1 (cos (* (pow 1/16 1/4) (/ x y))))
(/ 1 (cos (* (pow 1/16 1/4) (/ x y))))
(/ 1 (cos (* (pow 1/16 1/4) (/ x y))))
(/ 1 (cos (* (pow 1/16 1/4) (/ x y))))
(/ 1 (cos (* (pow 1/16 1/4) (/ x y))))
(cos (* (pow 1/16 1/4) (/ x y)))
(cos (* (pow 1/16 1/4) (/ x y)))
(cos (* (pow 1/16 1/4) (/ x y)))
(cos (* (pow 1/16 1/4) (/ x y)))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4)))))
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4))))))
1
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(cos (* (pow 1/16 1/4) (/ x y)))
(cos (* (pow 1/16 1/4) (/ x y)))
(cos (* (pow 1/16 1/4) (/ x y)))
(cos (* (pow 1/16 1/4) (/ x y)))
(cos (* (pow 1/16 1/4) (/ x y)))
(cos (* (pow 1/16 1/4) (/ x y)))
(cos (* (pow 1/16 1/4) (/ x y)))
(cos (* (pow 1/16 1/4) (/ x y)))
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(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
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(* (pow 1/16 1/4) (/ x y))
(* (pow 1/16 1/4) (/ x y))
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(* (pow 1/16 1/4) (/ x y))
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(* (pow 1/16 1/4) (/ x y))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
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(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (sqrt 1/2)) (sqrt (/ 1 y)))
(* (* x (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 y)))
(* (* x (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 y)))
(* (* x (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 y)))
(* (* x (* (sqrt -1) (sqrt -1/2))) (sqrt (/ 1 y)))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ 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))
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(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
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(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(sin (/ x y))
(/ x y)
(/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y)
(/ x y)
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(* -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 (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 y))))
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(* 1/2 (* x (sqrt (/ 1 y))))
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(* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y))))
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(* 1/2 (* x (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 y))))
(* 1/2 (* x (sqrt (/ 1 y))))
(* (pow 1/8 1/4) (/ x y))
(* (pow 1/8 1/4) (/ x y))
(* (pow 1/8 1/4) (/ x y))
(* (pow 1/8 1/4) (/ x y))
(* (pow 1/8 1/4) (/ x y))
(* (pow 1/8 1/4) (/ x y))
(* (pow 1/8 1/4) (/ x y))
(* (pow 1/8 1/4) (/ x y))
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(* -1 (* (pow 1/8 1/4) (/ x y)))
(* -1 (* (pow 1/8 1/4) (/ x y)))
(* -1 (* (pow 1/8 1/4) (/ x y)))
(* (pow 1/8 1/4) (/ x y))
(* (pow 1/8 1/4) (/ x y))
(* (pow 1/8 1/4) (/ x y))
(* (pow 1/8 1/4) (/ x y))
(* (pow 1/8 1/4) (/ x y))
(* (pow 1/8 1/4) (/ x y))
(* (pow 1/8 1/4) (/ x y))
(* (pow 1/8 1/4) (/ x y))
(* (pow 1/8 1/4) (/ x y))
(* (pow 1/8 1/4) (/ x y))
(* (pow 1/8 1/4) (/ x y))
(* (pow 1/8 1/4) (/ x y))
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(* x (exp (* 1/4 (+ (log 1/8) (* -3 (log y))))))
(* x (exp (* 1/4 (+ (log 1/8) (* -3 (log y))))))
(* x (exp (* 1/4 (+ (log 1/8) (* -3 (log y))))))
(* x (exp (* 1/4 (+ (log 1/8) (* -3 (log y))))))
(* x (exp (* 1/4 (+ (log 1/8) (* 3 (log (/ 1 y)))))))
(* x (exp (* 1/4 (+ (log 1/8) (* 3 (log (/ 1 y)))))))
(* x (exp (* 1/4 (+ (log 1/8) (* 3 (log (/ 1 y)))))))
(* x (exp (* 1/4 (+ (log 1/8) (* 3 (log (/ 1 y)))))))
(* x (exp (* 1/4 (+ (log -1/8) (* 3 (log (/ -1 y)))))))
(* x (exp (* 1/4 (+ (log -1/8) (* 3 (log (/ -1 y)))))))
(* x (exp (* 1/4 (+ (log -1/8) (* 3 (log (/ -1 y)))))))
(* x (exp (* 1/4 (+ (log -1/8) (* 3 (log (/ -1 y)))))))
Outputs
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (*.f64 y y)))
(- (+ 1 (* -1 (/ (+ (* -1/4 (* (pow x 4) (pow (sqrt 1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt 1/2) 8)))) (pow y 4)))) (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -5/24 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (*.f64 y y)))
(- (+ 1 (* -1 (/ (+ (* -1/720 (* (pow x 6) (pow (sqrt 1/2) 12))) (+ (* 1/48 (* (pow x 6) (pow (sqrt 1/2) 12))) (* 1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (+ (* -1/4 (* (pow x 4) (pow (sqrt 1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt 1/2) 8))))))))) (pow y 6)))) (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))) (+ (* -1/4 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (pow y 4))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (pow y 4))))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -5/24 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 12 binary64))) #s(literal 7/360 binary64))) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -5/24 binary64))) (pow.f64 y #s(literal 4 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64)) (*.f64 y y))))
(- (+ 1 (* -1 (/ (+ (* -1/4 (* (pow x 4) (pow (sqrt -1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt -1/2) 8)))) (pow y 4)))) (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64)) (*.f64 y y))) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -5/24 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(- (+ 1 (* -1 (/ (+ (* -1/720 (* (pow x 6) (pow (sqrt -1/2) 12))) (+ (* 1/48 (* (pow x 6) (pow (sqrt -1/2) 12))) (* 1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (+ (* -1/4 (* (pow x 4) (pow (sqrt -1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt -1/2) 8))))))))) (pow y 6)))) (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))) (+ (* -1/4 (/ (* (pow x 4) (pow (sqrt -1/2) 8)) (pow y 4))) (* 1/24 (/ (* (pow x 4) (pow (sqrt -1/2) 8)) (pow y 4))))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -5/24 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 12 binary64))) #s(literal 7/360 binary64))) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64)) (*.f64 y y))) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -5/24 binary64))) (pow.f64 y #s(literal 4 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (*.f64 y y)))
(+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ (pow (sqrt 1/2) 8) (pow y 4))) (* 1/24 (/ (pow (sqrt 1/2) 8) (pow y 4)))))) (* -1/2 (/ (pow (sqrt 1/2) 4) (pow y 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/24 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 y y))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 (/ (pow (sqrt 1/2) 12) (pow y 6))) (+ (* 1/48 (/ (pow (sqrt 1/2) 12) (pow y 6))) (* 1/2 (/ (* (pow (sqrt 1/2) 4) (+ (* -1/4 (/ (pow (sqrt 1/2) 8) (pow y 4))) (* 1/24 (/ (pow (sqrt 1/2) 8) (pow y 4))))) (pow y 2))))))) (+ (* -1/4 (/ (pow (sqrt 1/2) 8) (pow y 4))) (* 1/24 (/ (pow (sqrt 1/2) 8) (pow y 4)))))) (* -1/2 (/ (pow (sqrt 1/2) 4) (pow y 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (-.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/24 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -5/24 binary64) (*.f64 y y))))) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 7/360 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 y y))))))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x (sqrt (/ 1 y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x (sqrt (/ 1 y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x (sqrt (/ 1 y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x (sqrt (/ 1 y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 (* x (sqrt (/ 1 y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 x #s(literal 1/2 binary64)))
(* (pow 1/8 1/4) (/ x y))
(*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(* (pow 1/8 1/4) (/ x y))
(*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(* (pow 1/8 1/4) (/ x y))
(*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(* (pow 1/8 1/4) (/ x y))
(*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(* (pow 1/8 1/4) (/ x y))
(*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(* (pow 1/8 1/4) (/ x y))
(*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(* (pow 1/8 1/4) (/ x y))
(*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(* (pow 1/8 1/4) (/ x y))
(*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(* -1 (* (pow 1/8 1/4) (/ x y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64))) x) y)
(* -1 (* (pow 1/8 1/4) (/ x y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64))) x) y)
(* -1 (* (pow 1/8 1/4) (/ x y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64))) x) y)
(* -1 (* (pow 1/8 1/4) (/ x y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64))) x) y)
(* (pow 1/8 1/4) (/ x y))
(*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(* (pow 1/8 1/4) (/ x y))
(*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(* (pow 1/8 1/4) (/ x y))
(*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(* (pow 1/8 1/4) (/ x y))
(*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(* (pow 1/8 1/4) (/ x y))
(*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(* (pow 1/8 1/4) (/ x y))
(*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(* (pow 1/8 1/4) (/ x y))
(*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(* (pow 1/8 1/4) (/ x y))
(*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(* (pow 1/8 1/4) (/ x y))
(*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(* (pow 1/8 1/4) (/ x y))
(*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(* (pow 1/8 1/4) (/ x y))
(*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(* (pow 1/8 1/4) (/ x y))
(*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)))
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(*.f64 x (pow.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) #s(literal 1/4 binary64)))
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(*.f64 x (pow.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) #s(literal 1/4 binary64)))
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(*.f64 x (pow.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) #s(literal 1/4 binary64)))
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(*.f64 x (pow.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) #s(literal 1/4 binary64)))
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(*.f64 x (pow.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) #s(literal 1/4 binary64)))
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(*.f64 x (pow.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) #s(literal 1/4 binary64)))
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(*.f64 x (pow.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) #s(literal 1/4 binary64)))
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(*.f64 x (pow.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) #s(literal 1/4 binary64)))
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(*.f64 x (pow.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) #s(literal 1/4 binary64)))
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(*.f64 x (pow.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) #s(literal 1/4 binary64)))
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(*.f64 x (pow.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) #s(literal 1/4 binary64)))
(* (pow (/ 1/8 (pow y 3)) 1/4) x)
(*.f64 x (pow.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))) #s(literal 1/4 binary64)))
(* x (exp (* 1/4 (+ (log 1/8) (* -3 (log y))))))
(*.f64 x (*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) (pow.f64 y #s(literal -3/4 binary64))))
(* x (exp (* 1/4 (+ (log 1/8) (* -3 (log y))))))
(*.f64 x (*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) (pow.f64 y #s(literal -3/4 binary64))))
(* x (exp (* 1/4 (+ (log 1/8) (* -3 (log y))))))
(*.f64 x (*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) (pow.f64 y #s(literal -3/4 binary64))))
(* x (exp (* 1/4 (+ (log 1/8) (* -3 (log y))))))
(*.f64 x (*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) (pow.f64 y #s(literal -3/4 binary64))))
(* x (exp (* 1/4 (+ (log 1/8) (* 3 (log (/ 1 y)))))))
(*.f64 x (*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/4 binary64))))
(* x (exp (* 1/4 (+ (log 1/8) (* 3 (log (/ 1 y)))))))
(*.f64 x (*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/4 binary64))))
(* x (exp (* 1/4 (+ (log 1/8) (* 3 (log (/ 1 y)))))))
(*.f64 x (*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/4 binary64))))
(* x (exp (* 1/4 (+ (log 1/8) (* 3 (log (/ 1 y)))))))
(*.f64 x (*.f64 (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/4 binary64))))
(* x (exp (* 1/4 (+ (log -1/8) (* 3 (log (/ -1 y)))))))
(*.f64 x (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3/4 binary64)) (pow.f64 #s(literal -1/8 binary64) #s(literal 1/4 binary64))))
(* x (exp (* 1/4 (+ (log -1/8) (* 3 (log (/ -1 y)))))))
(*.f64 x (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3/4 binary64)) (pow.f64 #s(literal -1/8 binary64) #s(literal 1/4 binary64))))
(* x (exp (* 1/4 (+ (log -1/8) (* 3 (log (/ -1 y)))))))
(*.f64 x (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3/4 binary64)) (pow.f64 #s(literal -1/8 binary64) #s(literal 1/4 binary64))))
(* x (exp (* 1/4 (+ (log -1/8) (* 3 (log (/ -1 y)))))))
(*.f64 x (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3/4 binary64)) (pow.f64 #s(literal -1/8 binary64) #s(literal 1/4 binary64))))

eval196.0ms (1.9%)

Compiler

Compiled 23828 to 2631 computations (89% saved)

prune207.0ms (2%)

Pruning

100 alts after pruning (95 fresh and 5 done)

PrunedKeptTotal
New1413341447
Fresh126173
Picked415
Done044
Total14291001529
Accuracy
62.3%
Counts
1529 → 100
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.9%
(pow.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))
53.8%
(pow.f64 (*.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64))
9.3%
(/.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)))))
25.8%
(/.f64 (/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
39.5%
(/.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 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 1/2 binary64)) (sin.f64 (/.f64 x y)))
44.2%
(/.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
8.8%
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
45.3%
(/.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)))))
40.8%
(/.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)))))
39.2%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
✓45.2%
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
27.4%
(/.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)))))
22.9%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (/.f64 y x) y))) (*.f64 #s(literal -2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
28.8%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 x (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
17.9%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
16.6%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
22.5%
(/.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)))))
22.7%
(/.f64 (tan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.0%
(/.f64 (tan.f64 (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 y))) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
21.5%
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
8.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
39.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
40.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))))
45.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
22.7%
(/.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)))))))))
45.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.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))))))
✓45.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))))))
43.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
44.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))))
45.4%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x))))
45.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
40.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
41.3%
(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
▶45.6%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
39.5%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
45.1%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.6%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y #s(literal 1/2 binary64))))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
17.6%
(/.f64 (tan.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.2%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.7%
(/.f64 (tan.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y #s(literal 1/2 binary64))))) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.3%
(/.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)))))
43.7%
(/.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
43.5%
(/.f64 (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
42.8%
(/.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
40.8%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
39.6%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (/.f64 x y) #s(literal 2 binary64)))
43.9%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (+.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
8.4%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))) (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 y x)))))) #s(literal 2 binary64)))
43.9%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 2 binary64)))))))
9.1%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))) (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y)))))
43.4%
(/.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
43.8%
(/.f64 (sin.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
44.0%
(/.f64 (sin.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
43.2%
(/.f64 (sin.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/4 binary64))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
43.4%
(/.f64 (sin.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
44.0%
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
44.2%
(/.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)))))))
45.8%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
▶44.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
40.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
44.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x y))))
8.1%
(/.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 y x))))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))
54.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) y)))
55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
43.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (/.f64 y x) y))) (*.f64 #s(literal -2 binary64) (/.f64 x y)))))
▶55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))) y)))
✓55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
54.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) y)))
▶55.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))))
55.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
55.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal -1/8 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
55.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))))))
55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))))
✓55.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))))
54.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 y #s(literal 1/2 binary64))))))))
55.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (exp.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 2 binary64)))))))
54.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y #s(literal 1/2 binary64)))))))))
47.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))))
54.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 y #s(literal 1/2 binary64)))) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))))
54.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y)) (/.f64 #s(literal 2 binary64) x)))))
55.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y))) (/.f64 #s(literal 2 binary64) x)))))
54.5%
(/.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)))))))
54.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))) #s(literal -1 binary64))))))
54.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64))))))
55.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/8 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 y #s(literal 1/2 binary64))))))
54.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/4 binary64))))))))
55.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal 1/2 binary64))))))
54.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64)))) x)))
55.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
54.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y #s(literal 1/2 binary64))))) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))))
54.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
55.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
▶49.1%
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 y x)))
42.5%
(*.f64 (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
8.4%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
43.8%
(*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
44.2%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
✓53.5%
#s(literal 1 binary64)
Compiler

Compiled 4013 to 2740 computations (31.7% saved)

simplify85.0ms (0.8%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64))
✓cost-diff0
(*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))))
✓cost-diff0
(tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)))))
✓cost-diff0
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓cost-diff13184
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)))
✓cost-diff13184
(/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))) y)
✓cost-diff13184
(cos.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))) y))
✓cost-diff13184
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))) y)))
✓cost-diff0
(/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y)))
✓cost-diff0
(*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
✓cost-diff128
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
✓cost-diff0
(*.f64 x #s(literal 1/8 binary64))
✓cost-diff0
(/.f64 (*.f64 x #s(literal 1/8 binary64)) y)
✓cost-diff0
(/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 y x))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 y x)))
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
✓cost-diff256
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))))
Rules
612×*-lowering-*.f32
612×*-lowering-*.f64
598×fma-define
552×times-frac
504×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
046284
186264
2164258
3372256
4778254
51290254
61565254
71830254
81939254
92047254
102585254
112597254
122704254
02704254
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (cos (/ 1 (/ (/ 1 x) (/ 1/2 y)))))
1
(cos (/ 1 (/ (/ 1 x) (/ 1/2 y))))
(/ 1 (/ (/ 1 x) (/ 1/2 y)))
(/ (/ 1 x) (/ 1/2 y))
(/ 1 x)
x
(/ 1/2 y)
1/2
y
(+ 1 (/ (/ (* x 1/8) y) (/ y x)))
1
(/ (/ (* x 1/8) y) (/ y x))
(/ (* x 1/8) y)
(* x 1/8)
x
1/8
y
(/ y x)
(/ 1 (/ -1 (* (/ -2 (sin (/ x y))) (sin (/ x (/ y 1/2))))))
1
(/ -1 (* (/ -2 (sin (/ x y))) (sin (/ x (/ y 1/2)))))
-1
(* (/ -2 (sin (/ x y))) (sin (/ x (/ y 1/2))))
(/ -2 (sin (/ x y)))
-2
(sin (/ x y))
(/ x y)
x
y
(sin (/ x (/ y 1/2)))
(/ x (/ y 1/2))
(/ y 1/2)
1/2
(/ 1 (cos (/ (* (pow (/ 2 x) -1/2) (pow (/ 2 x) -1/2)) y)))
1
(cos (/ (* (pow (/ 2 x) -1/2) (pow (/ 2 x) -1/2)) y))
(/ (* (pow (/ 2 x) -1/2) (pow (/ 2 x) -1/2)) y)
(* (pow (/ 2 x) -1/2) (pow (/ 2 x) -1/2))
(pow (/ 2 x) -1/2)
(/ 2 x)
2
x
-1/2
y
(/ (tan (* (pow (/ y 1/2) -1/4) (* x (pow (/ y 1/2) -3/4)))) (sin (/ x (* y 2))))
(tan (* (pow (/ y 1/2) -1/4) (* x (pow (/ y 1/2) -3/4))))
(* (pow (/ y 1/2) -1/4) (* x (pow (/ y 1/2) -3/4)))
(pow (/ y 1/2) -1/4)
(/ y 1/2)
y
1/2
-1/4
(* x (pow (/ y 1/2) -3/4))
x
(pow (/ y 1/2) -3/4)
-3/4
(sin (/ x (* y 2)))
(/ x (* y 2))
(* y 2)
2
Outputs
(/ 1 (cos (/ 1 (/ (/ 1 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 (/ 1 (/ (/ 1 x) (/ 1/2 y))))
(cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ 1 (/ (/ 1 x) (/ 1/2 y)))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/ (/ 1 x) (/ 1/2 y))
(/.f64 y (/.f64 x #s(literal 2 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
1/2
#s(literal 1/2 binary64)
y
(+ 1 (/ (/ (* x 1/8) y) (/ y x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (/.f64 y (/.f64 x (/.f64 y x)))))
1
#s(literal 1 binary64)
(/ (/ (* x 1/8) y) (/ y x))
(/.f64 #s(literal 1/8 binary64) (/.f64 y (/.f64 x (/.f64 y x))))
(/ (* x 1/8) y)
(/.f64 #s(literal 1/8 binary64) (/.f64 y x))
(* x 1/8)
(*.f64 x #s(literal 1/8 binary64))
x
1/8
#s(literal 1/8 binary64)
y
(/ y x)
(/.f64 y x)
(/ 1 (/ -1 (* (/ -2 (sin (/ x y))) (sin (/ x (/ y 1/2))))))
(/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (/.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(/ -1 (* (/ -2 (sin (/ x y))) (sin (/ x (/ y 1/2)))))
(/.f64 (sin.f64 (/.f64 x y)) (/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 1/2 binary64)))
-1
#s(literal -1 binary64)
(* (/ -2 (sin (/ x y))) (sin (/ x (/ y 1/2))))
(/.f64 #s(literal -2 binary64) (/.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(/ -2 (sin (/ x y)))
(/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y)))
-2
#s(literal -2 binary64)
(sin (/ x y))
(sin.f64 (/.f64 x y))
(/ x y)
(/.f64 x y)
x
y
(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))
(/ y 1/2)
(/.f64 y #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ 1 (cos (/ (* (pow (/ 2 x) -1/2) (pow (/ 2 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 (/ (* (pow (/ 2 x) -1/2) (pow (/ 2 x) -1/2)) y))
(cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ (* (pow (/ 2 x) -1/2) (pow (/ 2 x) -1/2)) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(* (pow (/ 2 x) -1/2) (pow (/ 2 x) -1/2))
(/.f64 x #s(literal 2 binary64))
(pow (/ 2 x) -1/2)
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
-1/2
#s(literal -1/2 binary64)
y
(/ (tan (* (pow (/ y 1/2) -1/4) (* x (pow (/ y 1/2) -3/4)))) (sin (/ x (* y 2))))
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(tan (* (pow (/ y 1/2) -1/4) (* x (pow (/ y 1/2) -3/4))))
(tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)))))
(* (pow (/ y 1/2) -1/4) (* x (pow (/ y 1/2) -3/4)))
(*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))))
(pow (/ y 1/2) -1/4)
(pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64))
(/ y 1/2)
(/.f64 y #s(literal 1/2 binary64))
y
1/2
#s(literal 1/2 binary64)
-1/4
#s(literal -1/4 binary64)
(* x (pow (/ y 1/2) -3/4))
(*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)))
x
(pow (/ y 1/2) -3/4)
(pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))
-3/4
#s(literal -3/4 binary64)
(sin (/ x (* y 2)))
(sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ x (* y 2))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(* y 2)
(/.f64 y #s(literal 1/2 binary64))
2
#s(literal 2 binary64)

localize357.0ms (3.4%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))))
✓accuracy90.7%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓accuracy55.2%
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))
✓accuracy54.4%
(tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)))))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))) y)))
✓accuracy99.8%
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))
✓accuracy99.2%
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)))
✓accuracy55.4%
(cos.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))) y))
✓accuracy99.7%
(/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y)))
✓accuracy88.8%
(*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
✓accuracy55.2%
(sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
✓accuracy54.8%
(sin.f64 (/.f64 x y))
✓accuracy100.0%
(/.f64 y x)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 y x)))
✓accuracy100.0%
(*.f64 x #s(literal 1/8 binary64))
✓accuracy99.7%
(/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 y x))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))))
✓accuracy99.6%
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
✓accuracy99.0%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
✓accuracy55.4%
(cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y))))
Results
209.0ms127×1valid
70.0ms128×0valid
5.0ms1×5exit
Compiler

Compiled 319 to 47 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 208.0ms
ival-pow: 74.0ms (35.6% of total)
ival-div: 51.0ms (24.5% of total)
ival-mult: 25.0ms (12% of total)
ival-sin: 19.0ms (9.1% of total)
ival-cos: 16.0ms (7.7% of total)
backward-pass: 11.0ms (5.3% of total)
ival-tan: 7.0ms (3.4% of total)
const: 2.0ms (1% of total)
ival-add: 2.0ms (1% of total)

series225.0ms (2.1%)

Counts
25 → 552
Calls
Call 1
Inputs
#<alt (/ 1 (cos (/ 1 (/ (/ 1 x) (/ 1/2 y)))))>
#<alt (cos (/ 1 (/ (/ 1 x) (/ 1/2 y))))>
#<alt (/ 1 (/ (/ 1 x) (/ 1/2 y)))>
#<alt (/ (/ 1 x) (/ 1/2 y))>
#<alt (+ 1 (/ (/ (* x 1/8) y) (/ y x)))>
#<alt (/ (/ (* x 1/8) y) (/ y x))>
#<alt (/ (* x 1/8) y)>
#<alt (* x 1/8)>
#<alt (/ 1 (/ -1 (* (/ -2 (sin (/ x y))) (sin (/ x (/ y 1/2))))))>
#<alt (/ -1 (* (/ -2 (sin (/ x y))) (sin (/ x (/ y 1/2)))))>
#<alt (* (/ -2 (sin (/ x y))) (sin (/ x (/ y 1/2))))>
#<alt (/ -2 (sin (/ x y)))>
#<alt (/ 1 (cos (/ (* (pow (/ 2 x) -1/2) (pow (/ 2 x) -1/2)) y)))>
#<alt (cos (/ (* (pow (/ 2 x) -1/2) (pow (/ 2 x) -1/2)) y))>
#<alt (/ (* (pow (/ 2 x) -1/2) (pow (/ 2 x) -1/2)) y)>
#<alt (* (pow (/ 2 x) -1/2) (pow (/ 2 x) -1/2))>
#<alt (/ (tan (* (pow (/ y 1/2) -1/4) (* x (pow (/ y 1/2) -3/4)))) (sin (/ x (* y 2))))>
#<alt (tan (* (pow (/ y 1/2) -1/4) (* x (pow (/ y 1/2) -3/4))))>
#<alt (* (pow (/ y 1/2) -1/4) (* x (pow (/ y 1/2) -3/4)))>
#<alt (pow (/ y 1/2) -1/4)>
#<alt (/ y x)>
#<alt (sin (/ x y))>
#<alt (sin (/ x (/ y 1/2)))>
#<alt (pow (/ 2 x) -1/2)>
#<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 (* 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 (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt (* 2 (/ y x))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2)))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ (pow x 2) (pow y 2)))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 (/ x y))>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt (* 1/8 x)>
#<alt 1>
#<alt (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))>
#<alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))>
#<alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))>
#<alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))>
#<alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))>
#<alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))>
#<alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))>
#<alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))>
#<alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))>
#<alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))>
#<alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))>
#<alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))>
#<alt (* 2 (/ (sin (* 1/2 (/ x y))) (sin (/ x y))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))) (pow y 2))))>
#<alt (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))) (pow y 2))) (* 2 (/ (- (* 1/3840 (pow x 4)) (+ (* -1/6 (* (pow x 2) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))))) (* 1/240 (pow x 4)))) (pow y 4)))))>
#<alt (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))) (pow y 2))) (+ (* 2 (/ (- (* -1/645120 (pow x 6)) (+ (* -1/6 (* (pow x 2) (- (* 1/3840 (pow x 4)) (+ (* -1/6 (* (pow x 2) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))))) (* 1/240 (pow x 4)))))) (+ (* -1/10080 (pow x 6)) (* 1/120 (* (pow x 4) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2)))))))) (pow y 6))) (* 2 (/ (- (* 1/3840 (pow x 4)) (+ (* -1/6 (* (pow x 2) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))))) (* 1/240 (pow x 4)))) (pow y 4))))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))) (pow y 2))))>
#<alt (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))) (pow y 2))) (* 2 (/ (- (* 1/3840 (pow x 4)) (+ (* -1/6 (* (pow x 2) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))))) (* 1/240 (pow x 4)))) (pow y 4)))))>
#<alt (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))) (pow y 2))) (+ (* 2 (/ (- (* -1/645120 (pow x 6)) (+ (* -1/6 (* (pow x 2) (- (* 1/3840 (pow x 4)) (+ (* -1/6 (* (pow x 2) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))))) (* 1/240 (pow x 4)))))) (+ (* -1/10080 (pow x 6)) (* 1/120 (* (pow x 4) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2)))))))) (pow y 6))) (* 2 (/ (- (* 1/3840 (pow x 4)) (+ (* -1/6 (* (pow x 2) (- (* -1/48 (pow x 2)) (* -1/12 (pow x 2))))) (* 1/240 (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))))))>
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#<alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt -1/2))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -1) (sqrt -1/2))))>
#<alt (* 1/2 (/ x y))>
#<alt (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y))))>
#<alt (sin (* 1/2 (/ x y)))>
#<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
125.0ms
y
@-inf
(pow (/ y 1/2) -1/4)
16.0ms
y
@-inf
(* (pow (/ y 1/2) -1/4) (* x (pow (/ y 1/2) -3/4)))
13.0ms
y
@0
(pow (/ y 1/2) -1/4)
6.0ms
x
@inf
(/ (* x 1/8) y)
6.0ms
y
@inf
(pow (/ y 1/2) -1/4)

rewrite335.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
4690×*-lowering-*.f32
4690×*-lowering-*.f64
4294×/-lowering-/.f32
4294×/-lowering-/.f64
1904×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046207
1234186
21389168
08385168
Stop Event
1×iter limit
1×node limit
Counts
25 → 740
Calls
Call 1
Inputs
(/ 1 (cos (/ 1 (/ (/ 1 x) (/ 1/2 y)))))
(cos (/ 1 (/ (/ 1 x) (/ 1/2 y))))
(/ 1 (/ (/ 1 x) (/ 1/2 y)))
(/ (/ 1 x) (/ 1/2 y))
(+ 1 (/ (/ (* x 1/8) y) (/ y x)))
(/ (/ (* x 1/8) y) (/ y x))
(/ (* x 1/8) y)
(* x 1/8)
(/ 1 (/ -1 (* (/ -2 (sin (/ x y))) (sin (/ x (/ y 1/2))))))
(/ -1 (* (/ -2 (sin (/ x y))) (sin (/ x (/ y 1/2)))))
(* (/ -2 (sin (/ x y))) (sin (/ x (/ y 1/2))))
(/ -2 (sin (/ x y)))
(/ 1 (cos (/ (* (pow (/ 2 x) -1/2) (pow (/ 2 x) -1/2)) y)))
(cos (/ (* (pow (/ 2 x) -1/2) (pow (/ 2 x) -1/2)) y))
(/ (* (pow (/ 2 x) -1/2) (pow (/ 2 x) -1/2)) y)
(* (pow (/ 2 x) -1/2) (pow (/ 2 x) -1/2))
(/ (tan (* (pow (/ y 1/2) -1/4) (* x (pow (/ y 1/2) -3/4)))) (sin (/ x (* y 2))))
(tan (* (pow (/ y 1/2) -1/4) (* x (pow (/ y 1/2) -3/4))))
(* (pow (/ y 1/2) -1/4) (* x (pow (/ y 1/2) -3/4)))
(pow (/ y 1/2) -1/4)
(/ y x)
(sin (/ x y))
(sin (/ x (/ y 1/2)))
(pow (/ 2 x) -1/2)
(sin (/ x (* y 2)))
Outputs
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))
(pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (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)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))))
(cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(cos.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))
(cos.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y)))
(cos.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) #s(literal 1/2 binary64))))
(cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64))) y))
(/.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) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64))
(*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64))) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 x y)))
(/.f64 x (/.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y))))
(/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y x) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y))))
(/.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 x #s(literal 2 binary64)) y)
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 y #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 y #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (/.f64 x y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(pow.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)) (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) #s(literal 1/2 binary64))))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)) (*.f64 x (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3/4 binary64)) (*.f64 x (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))))
(*.f64 (*.f64 x (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/8 binary64)) (*.f64 x (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3/4 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) y)))
(*.f64 (*.f64 x (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3/4 binary64)))
(*.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) y) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal -1/2 binary64))
(*.f64 (*.f64 (*.f64 x (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/8 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 x (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3/8 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3/8 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y x) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y))))
(/.f64 y (/.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 y x) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (/.f64 y #s(literal 1/2 binary64)) x)
(/.f64 (/.f64 y #s(literal 1/2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -1/2 binary64))
(/.f64 (/.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y)) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (neg.f64 (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (/.f64 y (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)))
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(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/8 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/8 binary64)))
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(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64)))
(*.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
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(sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))
(neg.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal -1/2 binary64)))))
(neg.f64 (sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y))))
(neg.f64 (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) #s(literal 1/2 binary64)))))
(neg.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64))) y)))

simplify419.0ms (4%)

Algorithm
1×egg-herbie
Rules
6182×*-lowering-*.f32
6182×*-lowering-*.f64
3962×+-lowering-+.f64
3962×+-lowering-+.f32
1918×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07868814
125727975
083737975
Stop Event
1×iter limit
1×node limit
Counts
552 → 552
Calls
Call 1
Inputs
1
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(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
(/ 1 (cos (* 1/2 (/ x y))))
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(/ 1 (cos (* 1/2 (/ x y))))
(/ 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
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1
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(cos (* 1/2 (/ x y)))
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1
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1
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1
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1
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1
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-1
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1
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(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y)))
1
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1
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1
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(cos (/ (* x (pow (sqrt 1/2) 2)) y))
(cos (/ (* x (pow (sqrt 1/2) 2)) y))
(cos (/ (* x (pow (sqrt 1/2) 2)) y))
1
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1
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(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
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(/ (* x (pow (sqrt 1/2) 2)) y)
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(/ (* x (pow (sqrt 1/2) 2)) y)
(/ (* x (pow (sqrt 1/2) 2)) y)
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(/ (sin (* (pow 1/16 1/4) (/ x y))) (* (cos (* (pow 1/16 1/4) (/ x y))) (sin (* 1/2 (/ x y)))))
(* 2 (pow 1/16 1/4))
(- (+ (* 2 (/ (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3)))) (* x (pow y 2)))) (* 2 (pow 1/16 1/4))) (* -1/12 (* (pow 1/16 1/4) (/ (pow x 2) (pow y 2)))))
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(- (+ (* 2 (/ (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3)))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/5040 (* (pow 1/268435456 1/4) (pow x 7))) (+ (* -1/8 (* (pow x 2) (- (* 1/120 (* (pow 1/1048576 1/4) (pow x 5))) (+ (* -1/8 (* (pow x 2) (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3)))))) (* 1/384 (* (pow 1/16 1/4) (pow x 5))))))) (+ (* -1/46080 (* (pow 1/16 1/4) (pow x 7))) (* 1/384 (* (pow x 4) (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3))))))))) (* x (pow y 6)))) (+ (* 2 (/ (- (* 1/120 (* (pow 1/1048576 1/4) (pow x 5))) (+ (* -1/8 (* (pow x 2) (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3)))))) (* 1/384 (* (pow 1/16 1/4) (pow x 5))))) (* x (pow y 4)))) (* 2 (pow 1/16 1/4))))) (+ (* -1/12 (* (pow 1/16 1/4) (/ (pow x 2) (pow y 2)))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3)))) x)) (* -1/12 (* (pow 1/16 1/4) (pow x 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/120 (* (pow 1/1048576 1/4) (pow x 5))) (+ (* -1/8 (* (pow x 2) (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3)))))) (* 1/384 (* (pow 1/16 1/4) (pow x 5))))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3)))) x)) (* -1/12 (* (pow 1/16 1/4) (pow x 2)))))) (* 1/960 (* (pow 1/16 1/4) (pow x 4)))))) (pow y 6))) (+ (* -1/161280 (* (pow 1/16 1/4) (/ (pow x 6) (pow y 6)))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3)))) x)) (* -1/12 (* (pow 1/16 1/4) (pow x 2))))) (pow y 6))) (* 1/960 (* (pow 1/16 1/4) (/ (pow x 4) (pow y 4))))))))))
(* -2 (pow 1/16 1/4))
(- (+ (* -2 (/ (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3)))) (* x (pow y 2)))) (* -2 (pow 1/16 1/4))) (* 1/12 (* (pow 1/16 1/4) (/ (pow x 2) (pow y 2)))))
(- (+ (* -2 (/ (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* 1/120 (* (pow 1/1048576 1/4) (pow x 5))) (+ (* -1/8 (* (pow x 2) (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3)))))) (* 1/384 (* (pow 1/16 1/4) (pow x 5))))) (* x (pow y 4)))) (* -2 (pow 1/16 1/4)))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3)))) x)) (* 1/12 (* (pow 1/16 1/4) (pow x 2))))) (pow y 4))) (+ (* -1/960 (* (pow 1/16 1/4) (/ (pow x 4) (pow y 4)))) (* 1/12 (* (pow 1/16 1/4) (/ (pow x 2) (pow y 2)))))))
(- (+ (* -2 (/ (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* -1/5040 (* (pow 1/268435456 1/4) (pow x 7))) (+ (* -1/8 (* (pow x 2) (- (* 1/120 (* (pow 1/1048576 1/4) (pow x 5))) (+ (* -1/8 (* (pow x 2) (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3)))))) (* 1/384 (* (pow 1/16 1/4) (pow x 5))))))) (+ (* -1/46080 (* (pow 1/16 1/4) (pow x 7))) (* 1/384 (* (pow x 4) (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3))))))))) (* x (pow y 6)))) (+ (* -2 (/ (- (* 1/120 (* (pow 1/1048576 1/4) (pow x 5))) (+ (* -1/8 (* (pow x 2) (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3)))))) (* 1/384 (* (pow 1/16 1/4) (pow x 5))))) (* x (pow y 4)))) (* -2 (pow 1/16 1/4))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3)))) x)) (* 1/12 (* (pow 1/16 1/4) (pow x 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/120 (* (pow 1/1048576 1/4) (pow x 5))) (+ (* -1/8 (* (pow x 2) (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3)))))) (* 1/384 (* (pow 1/16 1/4) (pow x 5))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3)))) x)) (* 1/12 (* (pow 1/16 1/4) (pow x 2)))))) (* -1/960 (* (pow 1/16 1/4) (pow x 4)))))) (pow y 6))) (+ (* -1/960 (* (pow 1/16 1/4) (/ (pow x 4) (pow y 4)))) (+ (* 1/161280 (* (pow 1/16 1/4) (/ (pow x 6) (pow y 6)))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3)))) x)) (* 1/12 (* (pow 1/16 1/4) (pow x 2))))) (pow y 6))) (* 1/12 (* (pow 1/16 1/4) (/ (pow x 2) (pow y 2))))))))))
(* 2 (pow 1/16 1/4))
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(* -1 (* (pow 1/16 1/4) (/ x y)))
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(* -1 (/ (- (+ (* -1/6 (* (pow 1/4096 1/4) (/ (pow x 3) (pow y 2)))) (+ (* 1/120 (* (pow 1/1048576 1/4) (/ (pow x 5) (pow y 4)))) (* (pow 1/16 1/4) x))) (+ (* -1/8 (* (pow 1/16 1/4) (/ (pow x 3) (pow y 2)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3))))) (pow y 4))) (* 1/384 (* (pow 1/16 1/4) (/ (pow x 5) (pow y 4))))))) y))
(* -1 (/ (- (+ (* -1/6 (* (pow 1/4096 1/4) (/ (pow x 3) (pow y 2)))) (+ (* -1/5040 (* (pow 1/268435456 1/4) (/ (pow x 7) (pow y 6)))) (+ (* 1/120 (* (pow 1/1048576 1/4) (/ (pow x 5) (pow y 4)))) (* (pow 1/16 1/4) x)))) (+ (* -1/8 (* (pow 1/16 1/4) (/ (pow x 3) (pow y 2)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3))))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/120 (* (pow 1/1048576 1/4) (pow x 5))) (+ (* -1/8 (* (pow x 2) (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3)))))) (* 1/384 (* (pow 1/16 1/4) (pow x 5)))))) (pow y 6))) (+ (* -1/46080 (* (pow 1/16 1/4) (/ (pow x 7) (pow y 6)))) (+ (* 1/384 (* (pow 1/16 1/4) (/ (pow x 5) (pow y 4)))) (* 1/384 (/ (* (pow x 4) (- (* -1/6 (* (pow 1/4096 1/4) (pow x 3))) (* -1/8 (* (pow 1/16 1/4) (pow x 3))))) (pow y 6))))))))) y))
(* (pow 1/16 1/4) (/ x y))
(* x (+ (* (pow 1/16 1/4) (/ 1 y)) (* (pow x 2) (- (* -1/6 (* (pow 1/4096 1/4) (/ 1 (pow y 3)))) (* -1/8 (* (pow 1/16 1/4) (/ 1 (pow y 3))))))))
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(* x (+ (* (pow 1/16 1/4) (/ 1 y)) (* (pow x 2) (- (+ (* -1/6 (* (pow 1/4096 1/4) (/ 1 (pow y 3)))) (* (pow x 2) (- (+ (* 1/120 (* (pow 1/1048576 1/4) (/ 1 (pow y 5)))) (* (pow x 2) (- (* -1/5040 (* (pow 1/268435456 1/4) (/ 1 (pow y 7)))) (+ (* -1/8 (/ (- (* 1/120 (* (pow 1/1048576 1/4) (/ 1 (pow y 5)))) (+ (* -1/8 (/ (- (* -1/6 (* (pow 1/4096 1/4) (/ 1 (pow y 3)))) (* -1/8 (* (pow 1/16 1/4) (/ 1 (pow y 3))))) (pow y 2))) (* 1/384 (* (pow 1/16 1/4) (/ 1 (pow y 5)))))) (pow y 2))) (+ (* -1/46080 (* (pow 1/16 1/4) (/ 1 (pow y 7)))) (* 1/384 (/ (- (* -1/6 (* (pow 1/4096 1/4) (/ 1 (pow y 3)))) (* -1/8 (* (pow 1/16 1/4) (/ 1 (pow y 3))))) (pow y 4)))))))) (+ (* -1/8 (/ (- (* -1/6 (* (pow 1/4096 1/4) (/ 1 (pow y 3)))) (* -1/8 (* (pow 1/16 1/4) (/ 1 (pow y 3))))) (pow y 2))) (* 1/384 (* (pow 1/16 1/4) (/ 1 (pow y 5)))))))) (* -1/8 (* (pow 1/16 1/4) (/ 1 (pow y 3))))))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
(/ (sin (* (pow 1/16 1/4) (/ x y))) (cos (* (pow 1/16 1/4) (/ x y))))
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(exp (* 1/4 (+ (log -1/2) (log (/ -1 y)))))
(exp (* 1/4 (+ (log -1/2) (log (/ -1 y)))))
(/ y x)
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(* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y)))
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(* 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))
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(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y)
(/ x y)
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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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(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal 61/46080 binary64) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))))))))
(/ 1 (cos (* 1/2 (/ x y))))
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(/ 1 (cos (* 1/2 (/ x y))))
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(/ 1 (cos (* 1/2 (/ x y))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 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)))
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(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) y)))
1
#s(literal 1 binary64)
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(/.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))) (/.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 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))) y)
(* 1/2 (/ x y))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y))
(/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x (*.f64 x x))) (*.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 #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 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 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)))) (neg.f64 y))

eval205.0ms (1.9%)

Compiler

Compiled 24365 to 3046 computations (87.5% saved)

prune272.0ms (2.6%)

Pruning

96 alts after pruning (89 fresh and 7 done)

PrunedKeptTotal
New1308191327
Fresh207090
Picked145
Done235
Total1331961427
Accuracy
63.3%
Counts
1427 → 96
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.9%
(pow.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))
53.8%
(pow.f64 (*.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64))
9.3%
(/.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)))))
43.8%
(/.f64 (/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 1/2 binary64)) (sin.f64 (/.f64 x y)))
44.2%
(/.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
8.8%
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y))))) (*.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
48.3%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) (/.f64 y x)) #s(literal 1 binary64)) (/.f64 y (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) x)))))
45.3%
(/.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)))))
40.8%
(/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
22.9%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (/.f64 y x) y))) (*.f64 #s(literal -2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
28.8%
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 x (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
16.6%
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
22.5%
(/.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)))))
22.7%
(/.f64 (tan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.0%
(/.f64 (tan.f64 (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 y))) (/.f64 #s(literal 2 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
8.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))) #s(literal 0 binary64))))
40.6%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))))
45.0%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
22.7%
(/.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)))))))))
45.2%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.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))))))
✓45.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.3%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))))))
43.8%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
44.9%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))))
45.5%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
40.7%
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))))
41.3%
(/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
4.5%
(/.f64 (tan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
✓45.6%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.1%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.6%
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y #s(literal 1/2 binary64))))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.6%
(/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (log.f64 (/.f64 y #s(literal 1/2 binary64)))) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
45.2%
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
42.1%
(/.f64 (tan.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 y #s(literal 1/2 binary64))))) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
41.3%
(/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
43.7%
(/.f64 (sin.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
43.5%
(/.f64 (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
42.8%
(/.f64 (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
40.8%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
43.9%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (+.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
8.4%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))) (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 y x)))))) #s(literal 2 binary64)))
43.9%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 2 binary64)))))))
9.1%
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))) (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x y)))))
43.4%
(/.f64 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
43.8%
(/.f64 (sin.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
44.0%
(/.f64 (sin.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
43.2%
(/.f64 (sin.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/4 binary64))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
43.4%
(/.f64 (sin.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
44.0%
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
44.2%
(/.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)))))))
45.8%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
✓44.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
40.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
44.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x y))))
8.1%
(/.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 y x))))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x y))) (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))))
55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
55.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64)) #s(literal 4 binary64)) y)))
54.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) y)))
55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
43.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (/.f64 y x) y))) (*.f64 #s(literal -2 binary64) (/.f64 x y)))))
55.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))) y)))
54.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)))) y)))
55.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x))))) y)))
✓55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
54.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x #s(literal 2 binary64)))) y)))
54.7%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))))))
✓55.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))))
55.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))))))
55.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal -1/8 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))))
54.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 y #s(literal 1/2 binary64))))))))
55.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (exp.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 2 binary64)))))))
54.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y #s(literal 1/2 binary64)))))))))
55.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3/4 binary64)) (*.f64 x (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))))))
47.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))))
54.3%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 y #s(literal 1/2 binary64)))) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))))
54.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y)) (/.f64 #s(literal 2 binary64) x)))))
55.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y))) (/.f64 #s(literal 2 binary64) x)))))
54.5%
(/.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)))))))
54.8%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))) #s(literal -1 binary64))))))
54.6%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64))))))
54.5%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/4 binary64))))))))
55.0%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal 1/2 binary64))))))
55.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
55.2%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (*.f64 x (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3/8 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3/8 binary64)))))
54.4%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y #s(literal 1/2 binary64))))) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))))
54.9%
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y))) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
55.1%
(/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
✓49.1%
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 y x)))
49.1%
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal -1/8 binary64)) y) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
42.5%
(*.f64 (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
8.4%
(*.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
43.8%
(*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
44.2%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
6.8%
(*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)))
✓53.5%
#s(literal 1 binary64)
Compiler

Compiled 4842 to 2012 computations (58.4% saved)

regimes348.0ms (3.3%)

Counts
152 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal -1/8 binary64)) y) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) x)) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y y))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) (/.f64 y x)) #s(literal 1 binary64)) (/.f64 y (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) x)))))
(*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) 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 (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 #s(literal 0 binary64) (/.f64 x (*.f64 (/.f64 y x) y))) (*.f64 #s(literal -2 binary64) (/.f64 x y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 y (*.f64 y y))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))
(/.f64 (/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
(*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(*.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 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 1/2 binary64)) (sin.f64 (/.f64 x y)))
(/.f64 (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (sin.f64 (/.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x 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 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (/.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) (*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
(/.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 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (+.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (tan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.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 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 2 binary64)))))))
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2 binary64)))) (*.f64 (*.f64 y #s(literal -2 binary64)) y))))
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (/.f64 y x) y))) (*.f64 #s(literal -2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y #s(literal -2 binary64)) (+.f64 (*.f64 x x) #s(literal 0 binary64))))))
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 x (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x #s(literal 2 binary64)))) y)))
(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 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64)) #s(literal 4 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64))))))
(/.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)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))))))
(pow.f64 (*.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3/4 binary64)) (*.f64 x (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))) y)))
(/.f64 (sin.f64 (/.f64 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)))
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(/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (log.f64 (/.f64 y #s(literal 1/2 binary64)))) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 y #s(literal 1/2 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (sin.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/4 binary64))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
(/.f64 (tan.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) x)))))
#s(literal 1 binary64)
Calls

5 calls:

121.0ms
(*.f64 y #s(literal 2 binary64))
83.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
44.0ms
y
43.0ms
x
38.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
55.4%1x
55.4%1y
57.2%2(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
57.6%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
55.4%1(*.f64 y #s(literal 2 binary64))
Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes37.0ms (0.3%)

Counts
79 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal -1/8 binary64)) y) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) x)) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y y))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) (/.f64 y x)) #s(literal 1 binary64)) (/.f64 y (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) x)))))
(*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) 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 (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 #s(literal 0 binary64) (/.f64 x (*.f64 (/.f64 y x) y))) (*.f64 #s(literal -2 binary64) (/.f64 x y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 y (*.f64 y y))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))
(/.f64 (/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
(*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(*.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 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 1/2 binary64)) (sin.f64 (/.f64 x y)))
(/.f64 (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (sin.f64 (/.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x 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 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (/.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) (*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
(/.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 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (+.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (tan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.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 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 2 binary64)))))))
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2 binary64)))) (*.f64 (*.f64 y #s(literal -2 binary64)) y))))
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (/.f64 y x) y))) (*.f64 #s(literal -2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y #s(literal -2 binary64)) (+.f64 (*.f64 x x) #s(literal 0 binary64))))))
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 x (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x #s(literal 2 binary64)))) y)))
(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 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64)) #s(literal 4 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64))))))
(/.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)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))))))
(pow.f64 (*.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3/4 binary64)) (*.f64 x (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))) y)))
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 2 binary64)))
(/.f64 (tan.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64))) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y y) #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))))
Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64))))))
#s(literal 1 binary64)
Calls

1 calls:

22.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
57.4%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes23.0ms (0.2%)

Counts
73 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal -1/8 binary64)) y) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) x)) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y y))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) (/.f64 y x)) #s(literal 1 binary64)) (/.f64 y (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) x)))))
(*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) 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 (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 #s(literal 0 binary64) (/.f64 x (*.f64 (/.f64 y x) y))) (*.f64 #s(literal -2 binary64) (/.f64 x y)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 y (*.f64 y y))))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (*.f64 y y)) (*.f64 x #s(literal 1/2 binary64))) y))
(/.f64 (/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
(*.f64 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(*.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 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 1/2 binary64)) (sin.f64 (/.f64 x y)))
(/.f64 (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (sin.f64 (/.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) (sin.f64 (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (tan.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))))
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x 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 (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y))) (/.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) (*.f64 (/.f64 #s(literal -2 binary64) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (sin.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
(/.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 (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sin.f64 (/.f64 x y)))))
(/.f64 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 (+.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (tan.f64 (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.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 (sin.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 2 binary64)))))))
(/.f64 (tan.f64 (/.f64 x (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (*.f64 y y)))) (/.f64 y #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal -2 binary64)))) (*.f64 (*.f64 y #s(literal -2 binary64)) y))))
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 (/.f64 y x) y))) (*.f64 #s(literal -2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y #s(literal -2 binary64)) (+.f64 (*.f64 x x) #s(literal 0 binary64))))))
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 y #s(literal -2 binary64))) (/.f64 x (*.f64 y #s(literal -2 binary64))))) (/.f64 x (*.f64 y #s(literal -2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (tan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 y #s(literal -2 binary64)) x)) (*.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal -2 binary64)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (log.f64 (/.f64 x #s(literal 2 binary64)))) y)))
(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 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/4 binary64)) #s(literal 4 binary64)) y)))
(/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal -1/2 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (/.f64 x y) (pow.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64))))))
(/.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)))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) #s(literal -1 binary64))))))
(pow.f64 (*.f64 (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64)))) (cos.f64 (/.f64 x (/.f64 y #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3/4 binary64)) (*.f64 x (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))))
Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)))
#s(literal 1 binary64)
Calls

1 calls:

19.0ms
(/.f64 x (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
57.4%2(/.f64 x (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes74.0ms (0.7%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal -1/8 binary64)) y) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) x)) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y y))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) (/.f64 y x)) #s(literal 1 binary64)) (/.f64 y (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) x)))))
(*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))
Outputs
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
Calls

2 calls:

69.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
55.1%1x
55.1%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Accuracy

Total -33.8b remaining (-113.7%)

Threshold costs -33.8b (-113.7%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal 1/8 binary64)) y) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x #s(literal -1/8 binary64)) y) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 y y))))
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/24 binary64))) x)) (*.f64 y y)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 y y))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) (/.f64 y x)) #s(literal 1 binary64)) (/.f64 y (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 x y)) x)))))
(*.f64 #s(literal -2 binary64) (pow.f64 #s(literal 1/16 binary64) #s(literal 1/4 binary64)))
Outputs
#s(literal 1 binary64)
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
53.5%1x
53.5%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.5085285671525037e+178
4.145558335876431e+187
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.5085285671525037e+178
4.145558335876431e+187
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
7.0016716362732e+174
1.5085285671525037e+178
Compiler

Compiled 16 to 12 computations (25% saved)

simplify10.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03678
14578
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 20000000000000001048762368950125674390947600308859449221132274486636123669507437727641913661775715231977449272833864355658690803360374488303464595921184714543633814120241555308544 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 20000000000000001048762368950125674390947600308859449221132274486636123669507437727641913661775715231977449272833864355658690803360374488303464595921184714543633814120241555308544 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)))))) #s(literal 1 binary64))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 9999999999999999371534524623368764100273307559896873275206250678451924602685103382037576783819090846734548822294900033162112051840457868829614121240178061963384891963422539776 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
#s(literal 1 binary64)
Outputs
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 20000000000000001048762368950125674390947600308859449221132274486636123669507437727641913661775715231977449272833864355658690803360374488303464595921184714543633814120241555308544 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 20000000000000001048762368950125674390947600308859449221132274486636123669507437727641913661775715231977449272833864355658690803360374488303464595921184714543633814120241555308544 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) (*.f64 x (pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -3/4 binary64)))))) #s(literal 1 binary64))
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 9999999999999999371534524623368764100273307559896873275206250678451924602685103382037576783819090846734548822294900033162112051840457868829614121240178061963384891963422539776 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
#s(literal 1 binary64)

soundness709.0ms (6.7%)

Rules
3912×*-lowering-*.f32
3912×*-lowering-*.f64
3454×*-lowering-*.f32
3454×*-lowering-*.f64
2846×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03161937
110451825
240931805
085651805
033106
117098
296198
0863398
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 146 to 92 computations (37% saved)

preprocess95.0ms (0.9%)

Compiler

Compiled 490 to 284 computations (42% saved)

end0.0ms (0%)

Profiling

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