
Time bar (total: 4.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 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 |
Compiled 15 to 10 computations (33.3% saved)
| 1.0s | 4 038× | 1 | valid |
| 617.0ms | 4 218× | 0 | valid |
ival-tan: 371.0ms (31.4% of total)ival-div: 305.0ms (25.8% of total)ival-sin: 254.0ms (21.5% of total)ival-mult: 159.0ms (13.5% of total)adjust: 82.0ms (6.9% of total)exact: 7.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 124 | 0 | - | 0 | - | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 124 | 0 | - | 0 | - | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 26 | 0 | - | 0 | - | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 2 binary64)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sin.f64 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | sensitivity | 97 | 0 |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | sensitivity | 97 | 0 |
sin.f64 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 27 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 27 | |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 27 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 27 | |
/.f64 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | u/u | 26 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 26 | |
| ↳ | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 26 | |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 26 | |
| ↳ | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 26 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 150 | 0 |
| - | 0 | 106 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 150 | 0 | 0 |
| - | 0 | 0 | 106 |
| number | freq |
|---|---|
| 0 | 106 |
| 1 | 26 |
| 2 | 124 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 57.0ms | 268× | 0 | valid |
| 48.0ms | 244× | 1 | valid |
Compiled 89 to 28 computations (68.5% saved)
ival-sin: 16.0ms (32.1% of total)ival-tan: 14.0ms (28.1% of total)ival-div: 10.0ms (20% of total)adjust: 4.0ms (8% of total)ival-mult: 4.0ms (8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 84 |
| 1 | 58 | 80 |
| 2 | 148 | 78 |
| 3 | 323 | 78 |
| 4 | 765 | 78 |
| 5 | 3003 | 78 |
| 0 | 8 | 13 |
| 0 | 13 | 13 |
| 1 | 21 | 13 |
| 2 | 40 | 13 |
| 3 | 78 | 13 |
| 4 | 159 | 13 |
| 5 | 514 | 13 |
| 6 | 3796 | 13 |
| 0 | 9069 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(abs x)
(abs y)
Compiled 13 to 8 computations (38.5% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 47.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
x |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 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)))))))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 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)))))) |
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))) |
#s(approx (sin (/ x (* y 2))) #s(hole 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)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y)))))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y))))) |
#s(approx (* y 2) #s(hole binary64 (* 2 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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))))))))))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -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))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -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))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -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))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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))))))))))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -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)))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -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)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -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)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | y | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2)))) |
| 11.0ms | y | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2)))) |
| 5.0ms | x | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2)))) |
| 4.0ms | x | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2)))) |
| 3.0ms | x | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) x (* y 2) y 2 (sin (/ x (* y 2)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 363 | 2187 |
| 0 | 371 | 1940 |
| 1 | 2320 | 1930 |
| 0 | 8093 | 1830 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
x |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 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)))))))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 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)))))) |
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))) |
#s(approx (sin (/ x (* y 2))) #s(hole 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)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y)))))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y))))) |
#s(approx (* y 2) #s(hole binary64 (* 2 y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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))))))))))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -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))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -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))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -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))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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))))))))))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -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)))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -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)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -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 |
|---|
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) |
(/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) |
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(tan.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) |
(tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
x |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
(+.f64 y y) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 5/384 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) #s(literal 5/384 binary64) (/.f64 (*.f64 #s(literal 61/46080 binary64) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (tan (/ x (* y 2))) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (tan (/ x (* y 2))) (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (tan (/ x (* y 2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -5 binary64)) #s(literal 1/240 binary64) (/.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) (pow.f64 y #s(literal 7 binary64)))) (*.f64 x x) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (/ x (* y 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx x x) |
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64))) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (*.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal -5 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
#s(approx (tan (/ x (* y 2))) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
#s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
#s(approx (* y 2) (*.f64 #s(literal 2 binary64) y)) |
#s(approx y y) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (*.f64 y y)) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 y y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (*.f64 y y)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 y y)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (*.f64 y y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/645120 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x)))))) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/322560 binary64) (*.f64 #s(literal 1/1920 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))))))) |
#s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) y)) |
#s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/768 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))))) y)) |
#s(approx (tan (/ x (* y 2))) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/645120 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/16 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/92160 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/384 binary64) (/.f64 (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))))))) y)) |
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)) |
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x))) y)) |
#s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/645120 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)))) y)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (*.f64 y y)) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 y y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 y y)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (*.f64 y y))))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) #s(literal -2 binary64)) (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64)))) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/322560 binary64) (*.f64 #s(literal 1/1920 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))))))) |
#s(approx (tan (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 y y))) y))) |
#s(approx (tan (/ x (* y 2))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) y))) |
#s(approx (tan (/ x (* y 2))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/92160 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/384 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))))))) y))) |
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))) |
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y)))) y))) |
#s(approx (sin (/ x (* y 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y))))) y))) |
Compiled 2 487 to 417 computations (83.2% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 57 | 13 | 70 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 58 | 13 | 71 |
| Status | Accuracy | Program |
|---|---|---|
| 8.3% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 8.4% | (/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 47.0% | (/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 47.0% | (/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 46.8% | (/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 47.0% | (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 32.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) |
| ▶ | 41.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
| 8.3% | (/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.8% | (/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 44.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))) | |
| ▶ | 57.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
| ▶ | 56.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 524 to 366 computations (30.2% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x)) |
(*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) |
#s(literal -1/48 binary64) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) |
(*.f64 x x) |
(pow.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 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)))))))) |
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 1)) |
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))))) |
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))))) |
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (+ 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)))))))) |
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 1)) |
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))))) |
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))))) |
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 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)))))))) |
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* 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)))))) |
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))) |
#s(approx (sin (/ x (* y 2))) #s(hole 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)))))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
#s(approx (/ (* x x) (pow y 3)) #s(hole binary64 (/ (pow x 2) (pow y 3)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 1)) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 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)))))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* 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)))))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole 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)))))) |
#s(approx (/ (/ x y) 2) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (cos (/ (/ x y) 2)) #s(hole binary64 1)) |
#s(approx (cos (/ (/ x y) 2)) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))))) |
#s(approx (cos (/ (/ x y) 2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))))) |
#s(approx (cos (/ (/ x y) 2)) #s(hole binary64 (+ 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)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y)))))) |
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y)))))) |
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (cos (* 1/2 (/ x y))))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y))))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* -1/48 (/ (pow x 3) (pow y 3))))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3))))))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (* -1/48 (/ (pow x 2) (pow y 3))))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3))))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y)))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (sin (* 1/2 (/ x y))))) |
#s(approx (cos (/ (/ x y) 2)) #s(hole binary64 (cos (* 1/2 (/ x y))))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y)))))))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (* y 2) #s(hole binary64 (* 2 y))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3)))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (/ (+ (* -1/48 (pow x 2)) (* 1/2 (pow y 2))) (pow y 3)))) |
#s(approx (pow y 3) #s(hole binary64 (pow y 3))) |
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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))))))))))) |
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))))) |
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(hole binary64 (- (+ 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)))))))) |
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))))) |
#s(approx (cos (* (/ x y) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -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))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (/ (- (+ (* -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))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -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))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (/ (+ 1/2 (* -1/48 (/ (pow x 2) (pow y 2)))) y))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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)))))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (/ (- (+ (* -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))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (/ (- (+ (* -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))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (/ (+ (* -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))) |
#s(approx (cos (/ (/ x y) 2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))))) |
#s(approx (cos (/ (/ x y) 2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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))))))))))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -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)))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -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)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -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)))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow y 2))) 1/2) y)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* -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)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* -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)))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -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)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) -1/48 (/ (* x x) (pow y 3)) (* x x) (pow y 3) 3 (/ 1/2 y) (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (/ (/ x y) 2)) (sin (/ x (* y 2)))) |
| 6.0ms | x | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) -1/48 (/ (* x x) (pow y 3)) (* x x) (pow y 3) 3 (/ 1/2 y) (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (/ (/ x y) 2)) (sin (/ x (* y 2)))) |
| 4.0ms | y | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) -1/48 (/ (* x x) (pow y 3)) (* x x) (pow y 3) 3 (/ 1/2 y) (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (/ (/ x y) 2)) (sin (/ x (* y 2)))) |
| 4.0ms | y | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) -1/48 (/ (* x x) (pow y 3)) (* x x) (pow y 3) 3 (/ 1/2 y) (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (/ (/ x y) 2)) (sin (/ x (* y 2)))) |
| 4.0ms | x | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (cos (* (/ x y) 1/2)) -1) (cos (* (/ x y) 1/2)) (* (/ x y) 1/2) (/ x y) x y 1/2 -1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) 1 (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) 2 (sin (/ x (* y 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) -1/48 (/ (* x x) (pow y 3)) (* x x) (pow y 3) 3 (/ 1/2 y) (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (/ (/ x y) 2)) (sin (/ x (* y 2)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 536 | 4891 |
| 0 | 576 | 4322 |
| 1 | 3058 | 4302 |
| 0 | 8619 | 4108 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
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(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
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#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -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))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (/ (+ 1/2 (* -1/48 (/ (pow x 2) (pow y 2)))) y))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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)))))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (/ (- (+ (* -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))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (/ (- (+ (* -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))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (/ (+ (* -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))) |
#s(approx (cos (/ (/ x y) 2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))))) |
#s(approx (cos (/ (/ x y) 2)) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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))))))))))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -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)))) |
#s(approx (tan (/ x (* y 2))) #s(hole binary64 (* -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)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -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)))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow y 2))) 1/2) y)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* -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)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* -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)))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -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 |
|---|
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) |
(fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(cos.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (neg.f64 #s(approx (sin (/ (/ x y) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(approx (sin (/ (/ x y) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) |
(/.f64 (+.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(tan.f64 (+.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64))) |
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
(+.f64 y y) |
#s(literal 2 binary64) |
#s(approx (sin (/ (/ x y) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (neg.f64 #s(approx (sin (/ (/ x y) 2)) (*.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(approx (sin (/ (/ x y) 2)) (*.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (sin (/ (/ x y) 2)) (*.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) |
(*.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) |
(*.f64 x (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (pow.f64 y #s(literal 3 binary64))) x (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) |
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(+.f64 (*.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (neg.f64 y) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 y))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) y (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 y) (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))) (*.f64 (neg.f64 y) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 y (*.f64 (*.f64 x x) #s(literal -1/48 binary64)))) (*.f64 y (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (fma.f64 #s(literal -1/110592 binary64) (pow.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y))))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal -1/48 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
#s(literal -1/48 binary64) |
(*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 x x)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 y #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 y #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) |
(*.f64 (*.f64 y y) y) |
(*.f64 y (*.f64 y y)) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64)) |
(pow.f64 y #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))) |
#s(literal 3 binary64) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 y)) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 (neg.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) |
(/.f64 (+.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (tan.f64 (PI.f64))))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (neg.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(tan.f64 (+.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64))) |
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (neg.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (neg.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(cos.f64 (neg.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(+.f64 (*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 5/384 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) #s(literal 5/384 binary64) (/.f64 (*.f64 #s(literal 61/46080 binary64) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (pow (cos (* (/ x y) 1/2)) -1) #s(literal 1 binary64)) |
#s(approx (pow (cos (* (/ x y) 1/2)) -1) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
#s(approx (pow (cos (* (/ x y) 1/2)) -1) (fma.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 5/384 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (pow (cos (* (/ x y) 1/2)) -1) (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) #s(literal 5/384 binary64) (/.f64 (*.f64 #s(literal 61/46080 binary64) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (* (/ x y) 1/2)) #s(literal 1 binary64)) |
#s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (cos (* (/ x y) 1/2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal -2 binary64)))) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (* (/ x y) 1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal -4 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal -2 binary64)))) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* (/ x y) 1/2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx x x) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -5 binary64)) #s(literal 1/240 binary64) (/.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) (pow.f64 y #s(literal 7 binary64)))) (*.f64 x x) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (/ (/ x y) 2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (sin (/ (/ x y) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (sin (/ (/ x y) 2)) (*.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (sin (/ (/ x y) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64))) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (sin (/ (/ x y) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (*.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal -5 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (*.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y))) |
#s(approx (/ (* x x) (pow y 3)) (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64))))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 5/384 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) #s(literal 5/384 binary64) (/.f64 (*.f64 #s(literal 61/46080 binary64) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -5 binary64)) #s(literal 1/240 binary64) (/.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) (pow.f64 y #s(literal 7 binary64)))) (*.f64 x x) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (sin (/ (/ x y) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (sin (/ (/ x y) 2)) (*.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (sin (/ (/ x y) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64))) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (sin (/ (/ x y) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (*.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal -5 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (/ (/ x y) 2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (cos (/ (/ x y) 2)) #s(literal 1 binary64)) |
#s(approx (cos (/ (/ x y) 2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (cos (/ (/ x y) 2)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal -2 binary64)))) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (/ (/ x y) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal -4 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal -2 binary64)))) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
#s(approx (pow (cos (* (/ x y) 1/2)) -1) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
#s(approx (cos (* (/ x y) 1/2)) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
#s(approx (sin (/ (/ x y) 2)) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (*.f64 x x))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
#s(approx (sin (/ (/ x y) 2)) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
#s(approx (cos (/ (/ x y) 2)) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (neg.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal -3 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) y))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx y y) |
#s(approx (* y 2) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/48 binary64))) (pow.f64 y #s(literal 3 binary64)))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (pow.f64 y #s(literal 3 binary64)))) |
#s(approx (pow y 3) (pow.f64 y #s(literal 3 binary64))) |
#s(approx (/ 1/2 y) (/.f64 #s(literal 1/2 binary64) y)) |
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#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 y y)))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (-.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/384 binary64) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (*.f64 y y))))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) #s(literal -2 binary64)) (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64)))) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/322560 binary64) (*.f64 #s(literal 1/1920 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 y y))) y))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) y))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/92160 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/384 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))))))) y))) |
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))) |
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y)))) y))) |
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y))))) y))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64)) y))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 y y))) y))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) y))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/92160 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/384 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))))))) y))) |
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))) |
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y)))) y))) |
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y))))) y))) |
Compiled 10 032 to 1 158 computations (88.5% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 275 | 12 | 287 |
| Fresh | 3 | 5 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 282 | 18 | 300 |
| Status | Accuracy | Program |
|---|---|---|
| 8.3% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 8.4% | (/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 47.1% | (/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 47.0% | (/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 47.0% | (/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 46.8% | (/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 47.0% | (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 32.0% | (/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) | |
| ▶ | 36.7% | (/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
| ▶ | 29.0% | (/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) |
| ▶ | 44.7% | #s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
| ▶ | 57.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
| 57.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64))) | |
| 45.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) #s(literal -1 binary64))) | |
| 57.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) | |
| 57.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))) | |
| 54.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) | |
| ✓ | 56.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 957 to 632 computations (34% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
(*.f64 y y) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y)) x)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y)) |
#s(literal 1/24 binary64) |
(*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 x (pow.f64 y #s(literal 3 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 y y))) y))) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 y y))) y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 y y))) y) |
(fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 y y))) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 y y)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal -1/24 binary64) |
#s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x)) |
(*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) |
#s(literal -1/48 binary64) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 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)))))))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (* 1/2 (PI)))))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI))))))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI))))))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI))))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (cos (* 1/2 (PI))) y))))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* 1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3)))))))))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI)))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 1/2 (/ x y))))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 1)) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 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)))))))) |
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))))) |
#s(approx (/ (* x x) (* y y)) #s(hole binary64 (/ (pow x 2) (pow y 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* 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)))))) |
#s(approx (* (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) x) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (* (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) x) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) #s(hole binary64 (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
#s(approx (* x (/ x (pow y 3))) #s(hole binary64 (/ (pow x 2) (pow y 3)))) |
#s(approx (/ x (pow y 3)) #s(hole binary64 (/ x (pow y 3)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))) |
#s(approx (sin (/ x (* y 2))) #s(hole 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)))))) |
#s(approx (* (/ x y) 1/2) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y) #s(hole binary64 (* -1/2 (/ x y)))) |
#s(approx (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y) #s(hole binary64 (* x (- (* -1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) #s(hole binary64 (* -1/2 x))) |
#s(approx (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) #s(hole binary64 (* x (- (* -1/24 (/ (pow x 2) (pow y 2))) 1/2)))) |
#s(approx (/ (* (pow x 3) -1/24) (* y y)) #s(hole binary64 (* -1/24 (/ (pow x 3) (pow y 2))))) |
#s(approx (* (pow x 3) -1/24) #s(hole binary64 (* -1/24 (pow x 3)))) |
#s(approx (pow x 3) #s(hole binary64 (pow x 3))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
#s(approx (/ (* x x) (pow y 3)) #s(hole binary64 (/ (pow x 2) (pow y 3)))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 1)) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 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)))))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) #s(hole binary64 (* 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)))))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole 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)))))) |
#s(approx (/ (/ x y) 2) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (cos (/ x (* 2 y))) #s(hole binary64 1)) |
#s(approx (cos (/ x (* 2 y))) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))))) |
#s(approx (cos (/ x (* 2 y))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))))) |
#s(approx (cos (/ x (* 2 y))) #s(hole binary64 (+ 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)))))))) |
#s(approx (/ x (* 2 y)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y)))))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (+ (* 1/2 (PI)) (* 1/2 (/ x y))))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* x (+ (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2))))) |
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) x) #s(hole binary64 (* 1/24 (/ (pow x 3) (pow y 3))))) |
#s(approx (* (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) x) #s(hole binary64 (* (pow x 3) (+ (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/24 (/ 1 (pow y 3))))))) |
#s(approx (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) #s(hole binary64 (* 1/24 (/ (pow x 2) (pow y 3))))) |
#s(approx (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/24 (/ 1 (pow y 3))))))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y))))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) #s(hole binary64 (* 1/24 (/ (pow x 3) (pow y 3))))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) #s(hole binary64 (* (pow x 3) (+ (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/24 (/ 1 (pow y 3))))))) |
#s(approx (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y) #s(hole binary64 (* -1/24 (/ (pow x 3) (pow y 3))))) |
#s(approx (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y) #s(hole binary64 (* -1 (* (pow x 3) (+ (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/24 (/ 1 (pow y 3)))))))) |
#s(approx (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) #s(hole binary64 (* -1/24 (/ (pow x 3) (pow y 2))))) |
#s(approx (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* 1/24 (/ 1 (pow y 2))) (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* -1/48 (/ (pow x 3) (pow y 3))))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3))))))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (* -1/48 (/ (pow x 2) (pow y 3))))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3))))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y)))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (sin (* 1/2 (/ x y))))) |
#s(approx (cos (/ x (* 2 y))) #s(hole binary64 (cos (* 1/2 (/ x y))))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (- (* 1/2 (PI)) (* -1/2 (/ x y))))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1/2 (/ x y)))))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) #s(hole binary64 (* (pow x 3) (+ (* 1/24 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y))))))) |
#s(approx (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/24 (/ 1 (pow y 2)))))))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y)))))))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (PI)))) y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (* (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) x) #s(hole binary64 (/ (+ (* 1/24 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3)))) |
#s(approx (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) #s(hole binary64 (/ (+ (* 1/24 (pow x 2)) (* 1/2 (pow y 2))) (pow y 3)))) |
#s(approx (pow y 3) #s(hole binary64 (pow y 3))) |
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) #s(hole binary64 (/ (- (* 1/2 (* x (pow y 2))) (* -1/24 (pow x 3))) (pow y 3)))) |
#s(approx (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y) #s(hole binary64 (/ (+ (* -1/2 (* x (pow y 2))) (* -1/24 (pow x 3))) (pow y 3)))) |
#s(approx (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) #s(hole binary64 (/ (+ (* -1/2 (* x (pow y 2))) (* -1/24 (pow x 3))) (pow y 2)))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3)))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (/ (+ (* -1/48 (pow x 2)) (* 1/2 (pow y 2))) (pow y 3)))) |
#s(approx (* 2 y) #s(hole binary64 (* 2 y))) |
#s(approx (* y 2) #s(hole binary64 (* 2 y))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))))) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | y | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) (* y y) 1/8 1 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (* (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) x) (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) 1/24 (* x (/ x (pow y 3))) (/ x (pow y 3)) (pow y 3) 3 (/ 1/2 y) (sin (/ x (* y 2))) (* (/ x y) 1/2) (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y) (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) -1/2 (/ (* (pow x 3) -1/24) (* y y)) (* (pow x 3) -1/24) (pow x 3) -1/24 (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) -1/48 (/ (* x x) (pow y 3)) (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2)) |
| 9.0ms | x | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) (* y y) 1/8 1 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (* (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) x) (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) 1/24 (* x (/ x (pow y 3))) (/ x (pow y 3)) (pow y 3) 3 (/ 1/2 y) (sin (/ x (* y 2))) (* (/ x y) 1/2) (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y) (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) -1/2 (/ (* (pow x 3) -1/24) (* y y)) (* (pow x 3) -1/24) (pow x 3) -1/24 (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) -1/48 (/ (* x x) (pow y 3)) (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2)) |
| 8.0ms | x | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) (* y y) 1/8 1 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (* (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) x) (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) 1/24 (* x (/ x (pow y 3))) (/ x (pow y 3)) (pow y 3) 3 (/ 1/2 y) (sin (/ x (* y 2))) (* (/ x y) 1/2) (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y) (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) -1/2 (/ (* (pow x 3) -1/24) (* y y)) (* (pow x 3) -1/24) (pow x 3) -1/24 (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) -1/48 (/ (* x x) (pow y 3)) (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2)) |
| 7.0ms | x | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) (* y y) 1/8 1 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (* (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) x) (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) 1/24 (* x (/ x (pow y 3))) (/ x (pow y 3)) (pow y 3) 3 (/ 1/2 y) (sin (/ x (* y 2))) (* (/ x y) 1/2) (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y) (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) -1/2 (/ (* (pow x 3) -1/24) (* y y)) (* (pow x 3) -1/24) (pow x 3) -1/24 (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) -1/48 (/ (* x x) (pow y 3)) (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2)) |
| 7.0ms | y | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (/ x y) x y 1/2 (/ (PI) 2) (PI) 2 -1 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (+ (* (/ (* x x) (* y y)) 1/8) 1) (/ (* x x) (* y y)) (* x x) (* y y) 1/8 1 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (* (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) x) (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) 1/24 (* x (/ x (pow y 3))) (/ x (pow y 3)) (pow y 3) 3 (/ 1/2 y) (sin (/ x (* y 2))) (* (/ x y) 1/2) (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y) (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) -1/2 (/ (* (pow x 3) -1/24) (* y y)) (* (pow x 3) -1/24) (pow x 3) -1/24 (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) -1/48 (/ (* x x) (pow y 3)) (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) (cos (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 871 | 7646 |
| 0 | 939 | 6722 |
| 1 | 4936 | 6650 |
| 0 | 8174 | 6421 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
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#s(approx (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y) #s(hole binary64 (* x (- (* -1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) #s(hole binary64 (* -1/2 x))) |
#s(approx (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) #s(hole binary64 (* x (- (* -1/24 (/ (pow x 2) (pow y 2))) 1/2)))) |
#s(approx (/ (* (pow x 3) -1/24) (* y y)) #s(hole binary64 (* -1/24 (/ (pow x 3) (pow y 2))))) |
#s(approx (* (pow x 3) -1/24) #s(hole binary64 (* -1/24 (pow x 3)))) |
#s(approx (pow x 3) #s(hole binary64 (pow x 3))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
#s(approx (/ (* x x) (pow y 3)) #s(hole binary64 (/ (pow x 2) (pow y 3)))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 1)) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 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)))))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) #s(hole binary64 (* 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)))))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole 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)))))) |
#s(approx (/ (/ x y) 2) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (cos (/ x (* 2 y))) #s(hole binary64 1)) |
#s(approx (cos (/ x (* 2 y))) #s(hole binary64 (+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))))) |
#s(approx (cos (/ x (* 2 y))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))))) |
#s(approx (cos (/ x (* 2 y))) #s(hole binary64 (+ 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)))))))) |
#s(approx (/ x (* 2 y)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y)))))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (+ (* 1/2 (PI)) (* 1/2 (/ x y))))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* x (+ (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2))))) |
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))))) |
#s(approx (* (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) x) #s(hole binary64 (* 1/24 (/ (pow x 3) (pow y 3))))) |
#s(approx (* (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) x) #s(hole binary64 (* (pow x 3) (+ (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/24 (/ 1 (pow y 3))))))) |
#s(approx (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) #s(hole binary64 (* 1/24 (/ (pow x 2) (pow y 3))))) |
#s(approx (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/24 (/ 1 (pow y 3))))))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y))))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) #s(hole binary64 (* 1/24 (/ (pow x 3) (pow y 3))))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) #s(hole binary64 (* (pow x 3) (+ (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/24 (/ 1 (pow y 3))))))) |
#s(approx (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y) #s(hole binary64 (* -1/24 (/ (pow x 3) (pow y 3))))) |
#s(approx (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y) #s(hole binary64 (* -1 (* (pow x 3) (+ (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/24 (/ 1 (pow y 3)))))))) |
#s(approx (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) #s(hole binary64 (* -1/24 (/ (pow x 3) (pow y 2))))) |
#s(approx (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* 1/24 (/ 1 (pow y 2))) (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* -1/48 (/ (pow x 3) (pow y 3))))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3))))))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (* -1/48 (/ (pow x 2) (pow y 3))))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3))))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y)))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (sin (* 1/2 (/ x y))))) |
#s(approx (cos (/ x (* 2 y))) #s(hole binary64 (cos (* 1/2 (/ x y))))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (- (* 1/2 (PI)) (* -1/2 (/ x y))))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1/2 (/ x y)))))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) #s(hole binary64 (* (pow x 3) (+ (* 1/24 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y))))))) |
#s(approx (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/24 (/ 1 (pow y 2)))))))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y)))))))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (PI)))) y))) |
#s(approx y #s(hole binary64 y)) |
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(hole binary64 (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
#s(approx (* (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) x) #s(hole binary64 (/ (+ (* 1/24 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3)))) |
#s(approx (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) #s(hole binary64 (/ (+ (* 1/24 (pow x 2)) (* 1/2 (pow y 2))) (pow y 3)))) |
#s(approx (pow y 3) #s(hole binary64 (pow y 3))) |
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) #s(hole binary64 (/ (- (* 1/2 (* x (pow y 2))) (* -1/24 (pow x 3))) (pow y 3)))) |
#s(approx (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y) #s(hole binary64 (/ (+ (* -1/2 (* x (pow y 2))) (* -1/24 (pow x 3))) (pow y 3)))) |
#s(approx (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) #s(hole binary64 (/ (+ (* -1/2 (* x (pow y 2))) (* -1/24 (pow x 3))) (pow y 2)))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3)))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (/ (+ (* -1/48 (pow x 2)) (* 1/2 (pow y 2))) (pow y 3)))) |
#s(approx (* 2 y) #s(hole binary64 (* 2 y))) |
#s(approx (* y 2) #s(hole binary64 (* 2 y))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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))))))))))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))) (pow y 2))) (/ 1 (sin (* 1/2 (PI))))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2))))))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/2 (/ (* x (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))))) (sin (* 1/2 (PI))))) (+ (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))) (* 1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))))) (pow y 3))) (/ 1 (sin (* 1/2 (PI))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))) (+ (* -1/8 (/ (pow x 2) (* (pow y 2) (sin (* 1/2 (PI)))))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2))))))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y)))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (+ (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))) (+ (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow y 3))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y))))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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)))))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (/ (- (+ (* -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))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (/ (- (+ (* -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))) |
#s(approx (* (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) x) #s(hole binary64 (/ (+ (* 1/24 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))) |
#s(approx (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) #s(hole binary64 (/ (+ 1/2 (* 1/24 (/ (pow x 2) (pow y 2)))) y))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (/ (+ (* -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))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) #s(hole binary64 (/ (- (* 1/24 (/ (pow x 3) (pow y 2))) (* -1/2 x)) y))) |
#s(approx (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y) #s(hole binary64 (/ (+ (* -1/2 x) (* -1/24 (/ (pow x 3) (pow y 2)))) y))) |
#s(approx (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) #s(hole binary64 (+ (* -1/2 x) (* -1/24 (/ (pow x 3) (pow y 2)))))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (/ (+ 1/2 (* -1/48 (/ (pow x 2) (pow y 2)))) y))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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)))))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) #s(hole binary64 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) #s(hole binary64 (/ (- (+ (* -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))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) #s(hole binary64 (/ (- (+ (* -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))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (/ (+ (* -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))) |
#s(approx (cos (/ x (* 2 y))) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))))) |
#s(approx (cos (/ x (* 2 y))) #s(hole binary64 (+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole 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)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (- (+ 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))))))))))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* y (pow (sin (* 1/2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (* 1/2 (PI))))))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI))))))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))))) (* y (sin (* 1/2 (PI)))))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI))))))) y)) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI))))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1/2 (* x (cos (* 1/2 (PI))))) (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y))) y))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (* 1/2 (PI))))) (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* -1/2 (* x (cos (* 1/2 (PI)))))) y))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* -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)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* -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)))) |
#s(approx (* (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* -1/24 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) #s(hole binary64 (* -1 (/ (- (* -1/24 (/ (pow x 2) (pow y 2))) 1/2) y)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -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)))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) #s(hole binary64 (* -1 (/ (- (* -1/24 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))) |
#s(approx (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y) #s(hole binary64 (* -1 (/ (+ (* 1/24 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow y 2))) 1/2) y)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) #s(hole binary64 (* -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)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) #s(hole binary64 (* -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)))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -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 |
|---|
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) |
(fma.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(cos.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(+.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64)) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y))) (neg.f64 (*.f64 y y))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(pow.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 x x) y) y) |
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 y y))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) (neg.f64 #s(approx (sin (/ (/ x y) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ (/ x y) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) x (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(fma.f64 x (*.f64 (*.f64 #s(literal 1/24 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) x) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(+.f64 (*.f64 x (*.f64 (*.f64 #s(literal 1/24 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) |
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#s(literal -1/24 binary64) |
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(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(sin.f64 (+.f64 (neg.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 (/.f64 x #s(literal 2 binary64)) y) |
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
(+.f64 y y) |
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 (/.f64 x #s(literal 2 binary64)) y) |
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
(+.f64 y y) |
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#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal 1/2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (fma.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64) (*.f64 (*.f64 x (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 y y))) #s(literal -1/8 binary64))) x (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/48 binary64) (*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 y y)) #s(literal -1/8 binary64))) x (*.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64))) x (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y)))) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx x x) |
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#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 5/384 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) #s(literal 1 binary64))) |
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#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
#s(approx (/ (* x x) (* y y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -5 binary64)) #s(literal 1/240 binary64) (/.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) (pow.f64 y #s(literal 7 binary64)))) (*.f64 x x) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) x) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y))) |
#s(approx (* x (/ x (pow y 3))) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x)) |
#s(approx (/ x (pow y 3)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) |
#s(approx (sin (/ (/ x y) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (sin (/ (/ x y) 2)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (sin (/ (/ x y) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64))) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (sin (/ (/ x y) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (*.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal -5 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (/ x y) 1/2) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
#s(approx (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) (*.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (* (pow x 3) -1/24) (* y y)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y))) |
#s(approx (* (pow x 3) -1/24) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) |
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (fma.f64 #s(literal -1/48 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x) (/.f64 #s(literal 1/2 binary64) y))) |
#s(approx (* x (/ x (pow y 3))) (*.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) x)) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 5/384 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) #s(literal 5/384 binary64) (/.f64 (*.f64 #s(literal 61/46080 binary64) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x)) |
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#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -5 binary64)) #s(literal 1/240 binary64) (/.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) (pow.f64 y #s(literal 7 binary64)))) (*.f64 x x) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (sin (/ (/ x y) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
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#s(approx (sin (/ (/ x y) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64))) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (sin (/ (/ x y) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (*.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal -5 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (/ x (* 2 y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (cos (/ x (* 2 y))) #s(literal 1 binary64)) |
#s(approx (cos (/ x (* 2 y))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
#s(approx (cos (/ x (* 2 y))) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal -2 binary64)))) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos (/ x (* 2 y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal -4 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal -2 binary64)))) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ x (* 2 y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (/ x (* 2 y)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y)))) #s(literal -1 binary64))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64))) |
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64)) (*.f64 x x)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
#s(approx (* (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) x) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64))) |
#s(approx (* (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) x) (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) (*.f64 (*.f64 #s(literal 1/24 binary64) x) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) |
#s(approx (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x))) |
#s(approx (sin (/ (/ x y) 2)) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/24 binary64))) |
#s(approx (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y) (neg.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y))) |
#s(approx (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/48 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (*.f64 x x))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
#s(approx (sin (/ (/ x y) 2)) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
#s(approx (cos (/ x (* 2 y))) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y)))) #s(literal -1 binary64))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (*.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) y) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/24 binary64))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (neg.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal -3 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) y))) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (PI.f64) y))) y)) |
#s(approx y y) |
#s(approx (+ (* (/ (* x x) (* y y)) 1/8) 1) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
#s(approx (* y y) (*.f64 y y)) |
#s(approx (* (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (pow.f64 y #s(literal 3 binary64)))) |
#s(approx (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 3 binary64)))) |
#s(approx (pow y 3) (pow.f64 y #s(literal 3 binary64))) |
#s(approx (/ 1/2 y) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64))) (pow.f64 y #s(literal 3 binary64)))) |
#s(approx (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) (pow.f64 y #s(literal 3 binary64)))) |
#s(approx (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64) (*.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) (*.f64 y y))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/48 binary64))) (pow.f64 y #s(literal 3 binary64)))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/48 binary64))) (pow.f64 y #s(literal 3 binary64)))) |
#s(approx (* 2 y) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (* 2 y) (*.f64 #s(literal 2 binary64) y)) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (*.f64 y y)) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/24 binary64)))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (*.f64 y y)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/24 binary64)))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) (-.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (*.f64 y y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/645120 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/384 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal -1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64)))))) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1/24 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/322560 binary64) (*.f64 #s(literal 1/1920 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))))))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 y y)) #s(literal -1 binary64) (-.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)))) #s(literal -1/4 binary64) (fma.f64 (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/8 binary64))))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+.f64 (fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 y y))) #s(literal -1/8 binary64))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 y y))) #s(literal -1/8 binary64) (fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64)))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/46080 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3072 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64))))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -5/384 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) y)) |
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#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) y)) #s(literal -1/4 binary64) (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) y) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) y) #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
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#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 x x)) y) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) y) #s(literal -1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) y) #s(literal -1/48 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) y))) y) #s(literal -1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/16 binary64)) (*.f64 y y))) y))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/16 binary64)) (*.f64 y y))))) y))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/92160 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/384 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/16 binary64)) (*.f64 y y)))))))) y))) |
#s(approx (* (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) x) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y))) |
#s(approx (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) (neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) y))) |
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))) |
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y)))) y))) |
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y))))) y))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y))) |
#s(approx (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)) y))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/16 binary64)) (*.f64 y y))) y))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/16 binary64)) (*.f64 y y))))) y))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ x (* 2 y)))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/92160 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/384 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/16 binary64)) (*.f64 y y)))))))) y))) |
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/48 binary64) (*.f64 #s(literal -1/2 binary64) x)) y))) |
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y)))) y))) |
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (*.f64 y y))))) y))) |
Compiled 21 735 to 2 210 computations (89.8% saved)
27 alts after pruning (25 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 450 | 14 | 464 |
| Fresh | 1 | 11 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 455 | 27 | 482 |
| Status | Accuracy | Program |
|---|---|---|
| 8.3% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 8.4% | (/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 47.1% | (/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 47.0% | (/.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 47.0% | (/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 46.8% | (/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 47.0% | (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 44.2% | (/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 #s(approx (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) | |
| 29.0% | (/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) | |
| 29.0% | (/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y)) x))) | |
| ▶ | 29.0% | (/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) |
| 29.0% | (/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) | |
| ▶ | 2.0% | (/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) |
| ✓ | 44.7% | #s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
| 52.1% | #s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64))) | |
| ▶ | 26.8% | #s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y))) |
| 54.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal -1 binary64))) | |
| 57.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64))) | |
| ▶ | 57.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64))) |
| 7.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) | |
| 57.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64))) | |
| 45.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) #s(literal -1 binary64))) | |
| 57.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) | |
| 57.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))) | |
| 54.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) | |
| 52.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (fma.f64 (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))) | |
| ✓ | 56.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 1 768 to 1 141 computations (35.5% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64))) |
(pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)) |
(sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) |
(*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (PI.f64) x) |
(PI.f64) |
x |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) y) |
y |
#s(literal -1 binary64) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)) |
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) |
(*.f64 x x) |
#s(literal 1/8 binary64) |
(*.f64 y y) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y))) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y) |
(fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) |
(*.f64 (*.f64 x x) x) |
#s(literal -1/24 binary64) |
#s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x)) |
(*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) |
#s(literal -1/48 binary64) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64)))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 3 binary64)) |
(/.f64 x y) |
#s(literal 1/24 binary64) |
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sin.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 1)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 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)))))))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (* 1/2 (PI)))))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI))))))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI))))))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI))))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (cos (* 1/2 (PI))) y))))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* 1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3)))))))))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI)))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 1/2 (/ x y))))) |
#s(approx (* (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) x) #s(hole binary64 (* 1/2 (PI)))) |
#s(approx (* (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) x) #s(hole binary64 (+ (* 1/2 (PI)) (* 1/2 (/ x y))))) |
#s(approx (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) #s(hole binary64 (* 1/2 (/ (PI) x)))) |
#s(approx (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) #s(hole binary64 (/ (+ (* 1/2 (PI)) (* 1/2 (/ x y))) x))) |
#s(approx (/ (PI) x) #s(hole binary64 (/ (PI) x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 1)) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (+ 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)))))))) |
#s(approx (/ (+ (* (* x x) 1/8) (* y y)) (* y y)) #s(hole binary64 1)) |
#s(approx (/ (+ (* (* x x) 1/8) (* y y)) (* y y)) #s(hole binary64 (+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))))) |
#s(approx (+ (* (* x x) 1/8) (* y y)) #s(hole binary64 (pow y 2))) |
#s(approx (+ (* (* x x) 1/8) (* y y)) #s(hole binary64 (+ (* 1/8 (pow x 2)) (pow y 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* 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)))))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y)) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y) #s(hole binary64 (* -1/2 (/ x y)))) |
#s(approx (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y) #s(hole binary64 (* x (- (* -1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) #s(hole binary64 (* -1/2 x))) |
#s(approx (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) #s(hole binary64 (* x (- (* -1/24 (/ (pow x 2) (pow y 2))) 1/2)))) |
#s(approx (/ (* (* (* x x) x) -1/24) (* y y)) #s(hole binary64 (* -1/24 (/ (pow x 3) (pow y 2))))) |
#s(approx (* (* (* x x) x) -1/24) #s(hole binary64 (* -1/24 (pow x 3)))) |
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))) |
#s(approx (sin (/ x (* y 2))) #s(hole 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)))))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y))))) |
#s(approx (/ (* x x) (pow y 3)) #s(hole binary64 (/ (pow x 2) (pow y 3)))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) #s(hole binary64 (* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (* (pow (/ x y) 3) 1/24) #s(hole binary64 (* 1/24 (/ (pow x 3) (pow y 3))))) |
#s(approx (pow (/ x y) 3) #s(hole binary64 (/ (pow x 3) (pow y 3)))) |
#s(approx (/ x y) #s(hole binary64 (/ x y))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (sin (* 1/2 (PI)))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI))))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI))))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI))))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) #s(hole binary64 (* 1/2 (/ x (* y (sin (* 1/2 (PI)))))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) #s(hole binary64 (* x (+ (* -1/4 (/ (* x (cos (* 1/2 (PI)))) (* (pow y 2) (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ 1 (* y (sin (* 1/2 (PI)))))))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) #s(hole binary64 (* x (+ (* x (- (* x (- (* 1/16 (/ 1 (* (pow y 3) (sin (* 1/2 (PI)))))) (+ (* -1/8 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 3) (pow (sin (* 1/2 (PI))) 3)))) (* 1/48 (/ 1 (* (pow y 3) (sin (* 1/2 (PI))))))))) (* 1/4 (/ (cos (* 1/2 (PI))) (* (pow y 2) (pow (sin (* 1/2 (PI))) 2)))))) (* 1/2 (/ 1 (* y (sin (* 1/2 (PI)))))))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) #s(hole binary64 (* x (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/96 (/ (cos (* 1/2 (PI))) (* (pow y 4) (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/32 (/ (cos (* 1/2 (PI))) (* (pow y 4) (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/16 (/ 1 (* (pow y 3) (sin (* 1/2 (PI)))))) (+ (* -1/8 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 3) (pow (sin (* 1/2 (PI))) 3)))) (* 1/48 (/ 1 (* (pow y 3) (sin (* 1/2 (PI))))))))) (* y (sin (* 1/2 (PI)))))))))) (* 1/16 (/ 1 (* (pow y 3) (sin (* 1/2 (PI))))))) (+ (* -1/8 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 3) (pow (sin (* 1/2 (PI))) 3)))) (* 1/48 (/ 1 (* (pow y 3) (sin (* 1/2 (PI))))))))) (* 1/4 (/ (cos (* 1/2 (PI))) (* (pow y 2) (pow (sin (* 1/2 (PI))) 2)))))) (* 1/2 (/ 1 (* y (sin (* 1/2 (PI)))))))))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole 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)))))) |
#s(approx (/ (/ x y) 2) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (sin (+ (/ x (* 2 y)) (/ (PI) 2))) #s(hole binary64 (sin (* 1/2 (PI))))) |
#s(approx (sin (+ (/ x (* 2 y)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y))))) |
#s(approx (sin (+ (/ x (* 2 y)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (cos (* 1/2 (PI))) y))))))) |
#s(approx (sin (+ (/ x (* 2 y)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* x (+ (* 1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3)))))))))) |
#s(approx (+ (/ x (* 2 y)) (/ (PI) 2)) #s(hole binary64 (* 1/2 (PI)))) |
#s(approx (+ (/ x (* 2 y)) (/ (PI) 2)) #s(hole binary64 (+ (* 1/2 (PI)) (* 1/2 (/ x y))))) |
#s(approx (/ x (* 2 y)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ x (* y 2)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y)))))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) #s(hole binary64 (/ 1 (sin (+ (* 1/2 (PI)) (* 1/2 (/ x y))))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (sin (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) #s(hole binary64 (* x (+ (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))))) |
#s(approx (* (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) x) #s(hole binary64 (* 1/2 (/ x y)))) |
#s(approx (* (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) x) #s(hole binary64 (* x (+ (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))))) |
#s(approx (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) #s(hole binary64 (/ 1/2 y))) |
#s(approx (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) #s(hole binary64 (+ (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(hole binary64 (/ 1 (cos (* 1/2 (/ x y)))))) |
#s(approx (/ (+ (* (* x x) 1/8) (* y y)) (* y y)) #s(hole binary64 (* 1/8 (/ (pow x 2) (pow y 2))))) |
#s(approx (/ (+ (* (* x x) 1/8) (* y y)) (* y y)) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))))) |
#s(approx (+ (* (* x x) 1/8) (* y y)) #s(hole binary64 (* 1/8 (pow x 2)))) |
#s(approx (+ (* (* x x) 1/8) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1/8 (/ (pow y 2) (pow x 2)))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y)) #s(hole binary64 (* 1/24 (/ (pow x 3) (pow y 3))))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y)) #s(hole binary64 (* (pow x 3) (+ (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/24 (/ 1 (pow y 3))))))) |
#s(approx (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y) #s(hole binary64 (* -1/24 (/ (pow x 3) (pow y 3))))) |
#s(approx (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y) #s(hole binary64 (* -1 (* (pow x 3) (+ (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/24 (/ 1 (pow y 3)))))))) |
#s(approx (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) #s(hole binary64 (* -1/24 (/ (pow x 3) (pow y 2))))) |
#s(approx (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* 1/24 (/ 1 (pow y 2))) (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (sin (* 1/2 (/ x y))))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* -1/48 (/ (pow x 3) (pow y 3))))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3))))))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (* -1/48 (/ (pow x 2) (pow y 3))))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3))))))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) #s(hole binary64 (* 1/24 (/ (pow x 3) (pow y 3))))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) #s(hole binary64 (* (pow x 3) (+ (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/24 (/ 1 (pow y 3))))))) |
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#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y))) |
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#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (* 1/2 (PI))))) (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* -1/2 (* x (cos (* 1/2 (PI)))))) y))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* -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)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* -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)))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y)) #s(hole binary64 (* -1 (/ (- (* -1/24 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))) |
#s(approx (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y) #s(hole binary64 (* -1 (/ (+ (* 1/24 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -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)))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow y 2))) 1/2) y)))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) #s(hole binary64 (* -1 (/ (- (* -1/24 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* y (pow (sin (* 1/2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (* 1/2 (PI))))))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI))))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))))) (* y (sin (* 1/2 (PI)))))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI))))))) y)) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI))))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (/ x (sin (* 1/2 (PI))))) (* 1/4 (/ (* (pow x 2) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2))))) y)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/48 (/ (pow x 3) (sin (* 1/2 (PI))))) (+ (* 1/16 (/ (pow x 3) (sin (* 1/2 (PI))))) (* 1/8 (/ (* (pow x 3) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))))) y)) (* 1/4 (/ (* (pow x 2) (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (* -1/2 (/ x (sin (* 1/2 (PI)))))) y)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (cos (* 1/2 (PI))) (- (* 1/48 (/ (pow x 3) (sin (* 1/2 (PI))))) (+ (* 1/16 (/ (pow x 3) (sin (* 1/2 (PI))))) (* 1/8 (/ (* (pow x 3) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/96 (/ (* (pow x 4) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/48 (/ (pow x 3) (sin (* 1/2 (PI))))) (* 1/32 (/ (* (pow x 4) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2))))))) (+ (* 1/16 (/ (pow x 3) (sin (* 1/2 (PI))))) (* 1/8 (/ (* (pow x 3) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))))) y)) (* 1/4 (/ (* (pow x 2) (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (* -1/2 (/ x (sin (* 1/2 (PI)))))) y)))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -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)))) |
#s(approx (sin (+ (/ x (* 2 y)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1/2 (* x (cos (* 1/2 (PI))))) (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y))) y))))) |
#s(approx (sin (+ (/ x (* 2 y)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (* 1/2 (PI))))) (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* -1/2 (* x (cos (* 1/2 (PI)))))) y))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) x) (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) (/ (PI) x) (PI) x 1/2 (/ 1/2 y) y -1 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (+ (* (* x x) 1/8) (* y y)) (* y y)) (+ (* (* x x) 1/8) (* y y)) (* x x) 1/8 (* y y) (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y)) (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y) (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) -1/2 (/ (* (* (* x x) x) -1/24) (* y y)) (* (* (* x x) x) -1/24) (* (* x x) x) -1/24 (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) -1/48 (/ (* x x) (pow y 3)) (pow y 3) 3 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (* (pow (/ x y) 3) 1/24) (pow (/ x y) 3) (/ x y) 1/24 (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) 2 (sin (+ (/ x (* 2 y)) (/ (PI) 2))) (+ (/ x (* 2 y)) (/ (PI) 2)) (/ x (* 2 y)) (* 2 y) (/ (PI) 2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2)) |
| 7.0ms | x | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) x) (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) (/ (PI) x) (PI) x 1/2 (/ 1/2 y) y -1 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (+ (* (* x x) 1/8) (* y y)) (* y y)) (+ (* (* x x) 1/8) (* y y)) (* x x) 1/8 (* y y) (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y)) (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y) (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) -1/2 (/ (* (* (* x x) x) -1/24) (* y y)) (* (* (* x x) x) -1/24) (* (* x x) x) -1/24 (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) -1/48 (/ (* x x) (pow y 3)) (pow y 3) 3 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (* (pow (/ x y) 3) 1/24) (pow (/ x y) 3) (/ x y) 1/24 (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) 2 (sin (+ (/ x (* 2 y)) (/ (PI) 2))) (+ (/ x (* 2 y)) (/ (PI) 2)) (/ x (* 2 y)) (* 2 y) (/ (PI) 2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2)) |
| 7.0ms | x | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) x) (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) (/ (PI) x) (PI) x 1/2 (/ 1/2 y) y -1 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (+ (* (* x x) 1/8) (* y y)) (* y y)) (+ (* (* x x) 1/8) (* y y)) (* x x) 1/8 (* y y) (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y)) (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y) (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) -1/2 (/ (* (* (* x x) x) -1/24) (* y y)) (* (* (* x x) x) -1/24) (* (* x x) x) -1/24 (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) -1/48 (/ (* x x) (pow y 3)) (pow y 3) 3 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (* (pow (/ x y) 3) 1/24) (pow (/ x y) 3) (/ x y) 1/24 (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) 2 (sin (+ (/ x (* 2 y)) (/ (PI) 2))) (+ (/ x (* 2 y)) (/ (PI) 2)) (/ x (* 2 y)) (* 2 y) (/ (PI) 2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2)) |
| 7.0ms | y | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) x) (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) (/ (PI) x) (PI) x 1/2 (/ 1/2 y) y -1 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (+ (* (* x x) 1/8) (* y y)) (* y y)) (+ (* (* x x) 1/8) (* y y)) (* x x) 1/8 (* y y) (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y)) (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y) (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) -1/2 (/ (* (* (* x x) x) -1/24) (* y y)) (* (* (* x x) x) -1/24) (* (* x x) x) -1/24 (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) -1/48 (/ (* x x) (pow y 3)) (pow y 3) 3 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (* (pow (/ x y) 3) 1/24) (pow (/ x y) 3) (/ x y) 1/24 (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) 2 (sin (+ (/ x (* 2 y)) (/ (PI) 2))) (+ (/ x (* 2 y)) (/ (PI) 2)) (/ x (* 2 y)) (* 2 y) (/ (PI) 2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2)) |
| 6.0ms | y | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+ (* (/ x y) 1/2) (/ (PI) 2)) (* (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) x) (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) (/ (PI) x) (PI) x 1/2 (/ 1/2 y) y -1 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (+ (* (* x x) 1/8) (* y y)) (* y y)) (+ (* (* x x) 1/8) (* y y)) (* x x) 1/8 (* y y) (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y)) (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y) (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) -1/2 (/ (* (* (* x x) x) -1/24) (* y y)) (* (* (* x x) x) -1/24) (* (* x x) x) -1/24 (sin (/ x (* y 2))) (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) -1/48 (/ (* x x) (pow y 3)) (pow y 3) 3 (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (* (pow (/ x y) 3) 1/24) (pow (/ x y) 3) (/ x y) 1/24 (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) (sin (/ (/ x y) 2)) (/ (/ x y) 2) 2 (sin (+ (/ x (* 2 y)) (/ (PI) 2))) (+ (/ x (* 2 y)) (/ (PI) 2)) (/ x (* 2 y)) (* 2 y) (/ (PI) 2) (sin (/ x (* y 2))) (/ x (* y 2)) (* y 2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1006 | 9311 |
| 0 | 1072 | 8124 |
| 1 | 5722 | 8124 |
| 0 | 8078 | 7867 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64))) |
(pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)) |
(sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) |
(*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (PI.f64) x) |
(PI.f64) |
x |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) y) |
y |
#s(literal -1 binary64) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)) |
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) |
(*.f64 x x) |
#s(literal 1/8 binary64) |
(*.f64 y y) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y))) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y) |
(fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) |
(*.f64 (*.f64 x x) x) |
#s(literal -1/24 binary64) |
#s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x)) |
(*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x) |
(fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) |
#s(literal -1/48 binary64) |
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) |
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#s(approx (sin (+ (/ x (* 2 y)) (/ (PI) 2))) #s(hole binary64 (sin (- (* 1/2 (PI)) (* -1/2 (/ x y)))))) |
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#s(approx (* (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) x) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (PI)))) y))) |
#s(approx (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) #s(hole binary64 (/ (+ 1/2 (* 1/2 (/ (* y (PI)) x))) y))) |
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y))) |
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#s(approx (/ (+ (* (* x x) 1/8) (* y y)) (* y y)) #s(hole binary64 (/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)))) |
#s(approx (* y y) #s(hole binary64 (pow y 2))) |
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#s(approx (+ (/ x (* 2 y)) (/ (PI) 2)) #s(hole binary64 (/ (+ (* 1/2 x) (* 1/2 (* y (PI)))) y))) |
#s(approx (* 2 y) #s(hole binary64 (* 2 y))) |
#s(approx (* y 2) #s(hole binary64 (* 2 y))) |
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#s(approx (+ (* (* x x) 1/8) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))))) |
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#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(hole binary64 (* -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)))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y)) #s(hole binary64 (* -1 (/ (- (* -1/24 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))) |
#s(approx (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y) #s(hole binary64 (* -1 (/ (+ (* 1/24 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)))) |
#s(approx (sin (/ x (* y 2))) #s(hole binary64 (* -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)))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) #s(hole binary64 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow y 2))) 1/2) y)))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) #s(hole binary64 (* -1 (/ (- (* -1/24 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* y (pow (sin (* 1/2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (* 1/2 (PI))))))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI))))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) (sin (/ x (* y 2)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))))) (* y (sin (* 1/2 (PI)))))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI))))))) y)) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI))))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) #s(hole binary64 (* -1 (/ (+ (* -1/2 (/ x (sin (* 1/2 (PI))))) (* 1/4 (/ (* (pow x 2) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2))))) y)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/48 (/ (pow x 3) (sin (* 1/2 (PI))))) (+ (* 1/16 (/ (pow x 3) (sin (* 1/2 (PI))))) (* 1/8 (/ (* (pow x 3) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))))) y)) (* 1/4 (/ (* (pow x 2) (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (* -1/2 (/ x (sin (* 1/2 (PI)))))) y)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (sin (+ (/ x (* 2 y)) (/ (PI) 2)))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (cos (* 1/2 (PI))) (- (* 1/48 (/ (pow x 3) (sin (* 1/2 (PI))))) (+ (* 1/16 (/ (pow x 3) (sin (* 1/2 (PI))))) (* 1/8 (/ (* (pow x 3) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/96 (/ (* (pow x 4) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/48 (/ (pow x 3) (sin (* 1/2 (PI))))) (* 1/32 (/ (* (pow x 4) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2))))))) (+ (* 1/16 (/ (pow x 3) (sin (* 1/2 (PI))))) (* 1/8 (/ (* (pow x 3) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))))) y)) (* 1/4 (/ (* (pow x 2) (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (* -1/2 (/ x (sin (* 1/2 (PI)))))) y)))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)))) |
#s(approx (sin (/ (/ x y) 2)) #s(hole binary64 (* -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)))) |
#s(approx (sin (+ (/ x (* 2 y)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1/2 (* x (cos (* 1/2 (PI))))) (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y))) y))))) |
#s(approx (sin (+ (/ x (* 2 y)) (/ (PI) 2))) #s(hole binary64 (+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (* 1/2 (PI))))) (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* -1/2 (* x (cos (* 1/2 (PI)))))) y))))) |
| Outputs |
|---|
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))) #s(literal -1 binary64)))) |
(sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) |
(*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) |
(*.f64 x (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) |
(fma.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) x (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(fma.f64 x (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) |
(+.f64 (*.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) x) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(+.f64 (*.f64 x (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64))) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (PI.f64) x) (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) |
(-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal -1 binary64)))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (neg.f64 (PI.f64)) (neg.f64 x)) |
(/.f64 (PI.f64) x) |
(PI.f64) |
x |
#s(literal 1/2 binary64) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 y)) |
(/.f64 #s(literal 1/2 binary64) y) |
y |
#s(literal -1 binary64) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y)) |
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y))) (neg.f64 (*.f64 y y))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) (/.f64 (*.f64 y y) (*.f64 y y))) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (*.f64 y y) (*.f64 y y))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) (/.f64 (*.f64 y y) (*.f64 y y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/512 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y))))) |
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 x x) (*.f64 y y)) |
(fma.f64 y y (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/8 binary64)) (*.f64 y y)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (neg.f64 y) y)) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y y)) |
(+.f64 (*.f64 y y) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
#s(literal 1/8 binary64) |
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (fabs.f64 y) (fabs.f64 y)) |
(*.f64 y y) |
(pow.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 y) #s(literal 2 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y)))) (neg.f64 #s(approx (sin (/ (/ x y) 2)) (*.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y))) #s(approx (sin (/ (/ x y) 2)) (*.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/2 binary64) x)) y) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/2 binary64) x)) y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/2 binary64) x))) y) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/2 binary64) x))) y) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/2 binary64) x)) y)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/2 binary64) x))) (neg.f64 y)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/2 binary64) x)) y) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y)) y)) |
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y)) y)) |
(-.f64 (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y)) y) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y)) y)) |
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(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y)))) |
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#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (fma.f64 (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 y y))))) x (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) x (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) (fma.f64 (/.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal -1/48 binary64) (fma.f64 (*.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 y y))))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) (fma.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 y y)))))) x (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) x (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal 1/2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (fma.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64) (*.f64 (*.f64 x (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 y y))) #s(literal -1/8 binary64))) x (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/48 binary64) (*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 y y)) #s(literal -1/8 binary64))) x (*.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) #s(literal 1/2 binary64))) x (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y)))) |
#s(approx (* (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) x) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y)))) |
#s(approx (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))) x)) |
#s(approx (/ (PI) x) (/.f64 (PI.f64) x)) |
#s(approx x x) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 5/384 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -4 binary64)) #s(literal 5/384 binary64) (/.f64 (*.f64 #s(literal 61/46080 binary64) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (* x x) 1/8) (* y y)) (* y y)) #s(literal 1 binary64)) |
#s(approx (/ (+ (* (* x x) 1/8) (* y y)) (* y y)) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
#s(approx (+ (* (* x x) 1/8) (* y y)) (*.f64 y y)) |
#s(approx (+ (* (* x x) 1/8) (* y y)) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64) (/.f64 (*.f64 #s(literal 1/240 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal -5 binary64)) #s(literal 1/240 binary64) (/.f64 (*.f64 #s(literal 17/40320 binary64) (*.f64 x x)) (pow.f64 y #s(literal 7 binary64)))) (*.f64 x x) (*.f64 (pow.f64 y #s(literal -3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (*.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
#s(approx (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) (*.f64 #s(literal -1/2 binary64) x)) |
#s(approx (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 y y)) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (* (* (* x x) x) -1/24) (* y y)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y))) |
#s(approx (* (* (* x x) x) -1/24) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))) |
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (sin (/ (/ x y) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
#s(approx (sin (/ (/ x y) 2)) (*.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (sin (/ (/ x y) 2)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64))) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (sin (/ (/ x y) 2)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (*.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal -5 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal -3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (*.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y))) |
#s(approx (/ (* x x) (pow y 3)) (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64))))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (*.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) |
#s(approx (* (pow (/ x y) 3) 1/24) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64))) |
#s(approx (pow (/ x y) 3) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) |
#s(approx (/ x y) (/.f64 x y)) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 y y))))) x (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) x (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) (fma.f64 (/.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal -1/48 binary64) (fma.f64 (*.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 y y))))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) (fma.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 y y)))))) x (*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) x (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 (/.f64 (/.f64 x y) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) #s(literal 2 binary64))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y))) x)) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/48 binary64)))) x (*.f64 #s(literal -1/4 binary64) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) #s(literal 2 binary64))))) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y))) x)) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal -1/96 binary64) (fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/48 binary64)))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/32 binary64) (/.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) x))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 y #s(literal -3 binary64)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 1/48 binary64)))) x (*.f64 #s(literal -1/4 binary64) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) #s(literal 2 binary64))))) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y))) x)) |
#s(approx (sin (/ (/ x y) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
#s(approx (sin (/ (/ x y) 2)) (*.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)) |
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#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
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#s(approx (* (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) x) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
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#s(approx (sin (+ (/ x (* 2 y)) (/ (PI) 2))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))) |
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#s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (PI.f64) y))) y)) |
#s(approx (* (+ (* (/ (PI) x) 1/2) (/ 1/2 y)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 (PI.f64) y))) y)) |
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#s(approx (/ 1/2 y) (/.f64 #s(literal 1/2 binary64) y)) |
#s(approx y y) |
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#s(approx (* y y) (*.f64 y y)) |
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#s(approx (pow y 3) (pow.f64 y #s(literal 3 binary64))) |
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#s(approx (* y 2) (*.f64 #s(literal 2 binary64) y)) |
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#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 y y))) #s(literal -1/4 binary64) (fma.f64 (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 y y)))))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+.f64 (fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 y y))) #s(literal -1/8 binary64))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (+.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 y y))) #s(literal -1/8 binary64) (fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64)))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
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#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/46080 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/384 binary64)) (*.f64 x x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/3072 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -5/384 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 y y))))) |
#s(approx (+ (* (* x x) 1/8) (* y y)) (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 y y))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) y)) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/768 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))))) y)) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/645120 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/92160 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/384 binary64) (/.f64 (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))))))) y)) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)) |
#s(approx (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/2 binary64) x)) y)) |
#s(approx (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/2 binary64) x))) |
#s(approx (sin (/ (/ x y) 2)) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)) |
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#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) y)) |
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#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 y y)) #s(literal -1 binary64) (-.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (*.f64 y y))) #s(literal -1/4 binary64) (fma.f64 (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 y y)))))))) |
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#s(approx (sin (/ (/ x y) 2)) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)) |
#s(approx (sin (/ (/ x y) 2)) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x))) y)) |
#s(approx (sin (/ (/ x y) 2)) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/48 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/645120 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)))) y)) |
#s(approx (sin (+ (/ x (* 2 y)) (/ (PI) 2))) (+.f64 (fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 y y))) #s(literal -1/8 binary64))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (sin (+ (/ x (* 2 y)) (/ (PI) 2))) (+.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 y y))) #s(literal -1/8 binary64) (fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64)))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (*.f64 y y)) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 y y)))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) (*.f64 y y))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 y y)))))) |
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#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) y)) #s(literal -1/4 binary64) (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) y) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) y) #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
#s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1/16 binary64) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) y))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) y) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) y) #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 x x)) y) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) y) #s(literal -1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) (fma.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64))) y) #s(literal -1/48 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) y))) y) #s(literal -1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))) y))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) y))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/768 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/92160 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/384 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))))))) y))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y))) |
#s(approx (/ (+ (* -1/2 x) (/ (* (* (* x x) x) -1/24) (* y y))) y) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) x)) y))) |
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) x)) y))) |
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) y))) |
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) y))) |
#s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) x)) y))) |
#s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64)) y))) |
#s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) y)) #s(literal -1/4 binary64) (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 x x) y) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) y) #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1/16 binary64) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) y))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) y) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) y) #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 x (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 x x))) (*.f64 (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) y))) y))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 x (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) y) #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 x x)) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) y))) y))) |
#s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 (/.f64 x (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) (-.f64 (/.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)) #s(literal -1/2 binary64) (-.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1/96 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 1/32 binary64) (/.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (fma.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) y) #s(literal -1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 x x)) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) y))) y))) |
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (*.f64 #s(literal -1/2 binary64) x)) y))) |
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y)))) y))) |
#s(approx (sin (/ (/ x y) 2)) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))))) y))) |
#s(approx (sin (+ (/ x (* 2 y)) (/ (PI) 2))) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 x x)) y) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) y) #s(literal -1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
#s(approx (sin (+ (/ x (* 2 y)) (/ (PI) 2))) (fma.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64))) y) #s(literal -1/48 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) y))) y) #s(literal -1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
Compiled 30 630 to 2 491 computations (91.9% saved)
37 alts after pruning (34 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 555 | 17 | 572 |
| Fresh | 3 | 17 | 20 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 562 | 37 | 599 |
| Status | Accuracy | Program |
|---|---|---|
| 8.3% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 8.4% | (/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 47.2% | (/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 #s(approx (+ (/ x (* 2 y)) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 47.0% | (/.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 47.0% | (/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 46.8% | (/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 47.0% | (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 47.1% | (/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 44.2% | (/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 #s(approx (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) | |
| 29.0% | (/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) | |
| 29.0% | (/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y)) x))) | |
| 31.2% | (/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) y)) x))) | |
| 31.3% | (/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x))) | |
| 31.2% | (/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64)) y))) x))) | |
| 29.0% | (/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) x) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) | |
| 29.0% | (/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) | |
| 2.0% | (/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y)) x))) | |
| 2.3% | (/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) y)) x))) | |
| 1.9% | (/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64)))) #s(approx (sin (/ x (* y 2))) #s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64))))) | |
| ✓ | 44.7% | #s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
| 52.5% | #s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) | |
| 52.1% | #s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64))) | |
| 57.3% | #s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y)))) #s(literal -1 binary64))) | |
| ✓ | 26.8% | #s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y))) |
| 27.6% | #s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y)) | |
| 54.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 54.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal -1 binary64))) | |
| 57.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64))) | |
| 19.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))) x))) #s(literal -1 binary64))) | |
| 7.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) | |
| 45.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) #s(literal -1 binary64))) | |
| 57.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))))) | |
| 57.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) | |
| 57.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))) | |
| 54.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))) #s(literal -1 binary64)))) | |
| 54.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) | |
| ✓ | 56.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 3 586 to 1 277 computations (64.4% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y)) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 #s(approx (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) y)) x))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64)) y))) x))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x 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)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) y)) x))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y))))) #s(literal -1 binary64))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y)))) #s(literal -1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (+.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1 binary64))) |
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64)))) #s(approx (sin (/ x (* y 2))) #s(approx (* (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) x) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64))))) |
(/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))) #s(literal -1 binary64)))) |
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) #s(approx (neg (/ (+ (* -1/2 x) (/ (* (pow x 3) -1/24) (* y y))) y)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y)) x))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (PI.f64) (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 #s(approx (+ (/ x (* 2 y)) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) x) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (pow (sin (+ (* (/ x y) 1/2) (/ (PI) 2))) -1) (fma.f64 (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64))))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
(/.f64 (/.f64 (+.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (tan.f64 (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal -1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 (PI.f64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))) x))) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
5 calls:
| 17.0ms | y |
| 16.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 15.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 14.0ms | (*.f64 y #s(literal 2 binary64)) |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.4% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 59.2% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 59.1% | 2 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 57.4% | 1 | x |
| 57.4% | 1 | y |
Compiled 23 to 21 computations (8.7% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y)) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 #s(approx (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) y)) x))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64)) y))) x))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (cos (* (/ x y) 1/2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 x 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)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
2 calls:
| 6.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 4.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.2% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 59.0% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 18 to 13 computations (27.8% saved)
Total -21.6b remaining (-76.6%)
Threshold costs -21.6b (-76.6%)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
#s(approx (/ (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (sin (/ x (* y 2)))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y)) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (*.f64 #s(approx (+ (* 1/24 (* x (/ x (pow y 3)))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x)) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (/.f64 #s(literal 1/2 binary64) y)) x))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1/48 binary64) #s(literal 1/2 binary64)) y)) x))) |
(/.f64 #s(approx (/ (sin (/ (/ x y) 2)) (cos (/ (/ x y) 2))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/24 binary64)) (*.f64 y y))) y))) #s(approx (sin (/ x (* y 2))) (*.f64 #s(approx (+ (* -1/48 (/ (* x x) (pow y 3))) (/ 1/2 y)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal 1/2 binary64)) y))) x))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
5 calls:
| 10.0ms | (*.f64 y #s(literal 2 binary64)) |
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 3.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.0% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 56.0% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 56.0% | 1 | y |
| 56.0% | 1 | x |
| 56.0% | 1 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 23 to 21 computations (8.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.453452268919076e+135 | 3.823995411296187e+139 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.396131638150822e+192 | 9.706599005334055e+195 |
Compiled 12 to 13 computations (-8.3% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 120 |
| 1 | 49 | 120 |
| 2 | 79 | 120 |
| 3 | 157 | 120 |
| 4 | 571 | 120 |
| 5 | 4301 | 120 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 10000000000000000586640612700740119755462042863897304388093713545509821352053815609504775357961393589804030375857007499376802103616864256 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 10000000000000000662275133196073022890814778906781692175574718614061870706920546714670378554471083956139627305190456203824330868103505742897540916997511012040520808812168041334151877325366493184 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 10000000000000000586640612700740119755462042863897304388093713545509821352053815609504775357961393589804030375857007499376802103616864256 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) 1/2) (/ (PI) 2)) (*.f64 (fma.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 10000000000000000662275133196073022890814778906781692175574718614061870706920546714670378554471083956139627305190456203824330868103505742897540916997511012040520808812168041334151877325366493184 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| 1× | fuel |
Compiled 120 to 40 computations (66.7% saved)
Compiled 570 to 260 computations (54.4% saved)
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