
Time bar (total: 7.7s)
| 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)
| 1.3s | 4 050× | 1 | valid |
| 323.0ms | 4 206× | 0 | valid |
ival-tan: 381.0ms (31.6% of total)ival-sin: 323.0ms (26.8% of total)ival-div: 210.0ms (17.4% of total)adjust: 191.0ms (15.8% of total)ival-mult: 86.0ms (7.1% of total)ival-true: 6.0ms (0.5% of total)exact: 6.0ms (0.5% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 133 | 0 | - | 0 | - | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 133 | 0 | - | 0 | - | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 25 | 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 | 91 | 0 |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | sensitivity | 91 | 0 |
sin.f64 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 42 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 42 | |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 42 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 42 | |
/.f64 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | u/u | 25 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 25 | |
| ↳ | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 25 | |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 25 | |
| ↳ | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 25 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 158 | 0 |
| - | 0 | 98 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 158 | 0 | 0 |
| - | 0 | 0 | 98 |
| number | freq |
|---|---|
| 0 | 98 |
| 1 | 25 |
| 2 | 133 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 83.0ms | 262× | 1 | valid |
| 22.0ms | 250× | 0 | valid |
Compiled 89 to 28 computations (68.5% saved)
ival-sin: 38.0ms (47.1% of total)ival-tan: 23.0ms (28.5% of total)ival-div: 10.0ms (12.4% of total)adjust: 5.0ms (6.2% of total)ival-mult: 4.0ms (5% 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 | 22 | 75 |
| 1 | 51 | 67 |
| 2 | 135 | 65 |
| 3 | 290 | 65 |
| 4 | 703 | 65 |
| 5 | 2756 | 65 |
| 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 y)
(abs x)
Compiled 13 to 8 computations (38.5% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 43.3% | (/.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)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 x (*.f64 y #s(literal 2 binary64))) | |
| cost-diff | 0 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 36 |
| 0 | 13 | 36 |
| 1 | 21 | 36 |
| 2 | 40 | 36 |
| 3 | 78 | 36 |
| 4 | 159 | 36 |
| 5 | 514 | 36 |
| 6 | 3796 | 36 |
| 0 | 9069 | 36 |
| 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)))) |
| 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)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
x |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y #s(literal 2 binary64)) | |
| accuracy | 6.214912526270632 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 30.109796510545664 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 30.46843790840453 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 48.0ms | 131× | 1 | valid |
| 8.0ms | 125× | 0 | valid |
Compiled 38 to 10 computations (73.7% saved)
adjust: 26.0ms (56.3% of total)ival-sin: 7.0ms (15.1% of total)ival-tan: 7.0ms (15.1% of total)ival-div: 5.0ms (10.8% of total)ival-mult: 2.0ms (4.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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))) |
(*.f64 y #s(literal 2 binary64)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(sin (* 1/2 (/ x y))) |
(* 2 y) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 4.0ms | y | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 2.0ms | x | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 2.0ms | x | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 2.0ms | x | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 1576 |
| 1 | 1006 | 1536 |
| 2 | 4288 | 1498 |
| 0 | 8622 | 1395 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(sin (* 1/2 (/ x y))) |
(* 2 y) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 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)))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 1/240 binary64) (pow.f64 y #s(literal 5 binary64))) x) x (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(* 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)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 7 binary64)))) #s(literal 17/40320 binary64) (/.f64 #s(literal 1/240 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64))) x) x (/.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(* 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)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x (/.f64 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 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (*.f64 y y))) |
(- (+ 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)))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 1/24 binary64) y) (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x))) (pow.f64 y #s(literal 4 binary64)))) x) #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) x) y) (/.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64)))) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64))) (pow.f64 y #s(literal 4 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))))))))) |
(-.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x y)) (/.f64 #s(literal 1/24 binary64) y) (/.f64 (+.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 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x))) (fma.f64 (*.f64 #s(literal -1/384 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x))) (pow.f64 y #s(literal 4 binary64)))) x)) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x))) x) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64))) (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64))))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x) (*.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/1920 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/322560 binary64))) (pow.f64 y #s(literal 6 binary64))))))) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 1/24 binary64) y))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) y) (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 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) y) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 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 #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/768 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/384 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 6 binary64))))))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) y) (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) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) y) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/645120 binary64) (pow.f64 y #s(literal 6 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) |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) (*.f64 #s(literal -1/24 binary64) (*.f64 x x))) (*.f64 y y))) |
(- (+ 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)))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (/.f64 (-.f64 (fma.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) (pow.f64 y #s(literal 4 binary64)))) x) #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) x) y) (/.f64 x y) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64)))) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64))) (pow.f64 y #s(literal 4 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))))))))) |
(-.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (/.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 (fma.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (pow.f64 y #s(literal 6 binary64)))) x) (/.f64 (-.f64 (fma.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) x) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64))) (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64))))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 x x) (*.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/1920 binary64) (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/322560 binary64))) (pow.f64 y #s(literal 6 binary64))))))) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) 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)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x))) (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (/.f64 (-.f64 (fma.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) (pow.f64 y #s(literal 6 binary64))) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x) (*.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 6 binary64))))))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/645120 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/3840 binary64) (pow.f64 y #s(literal 4 binary64))))))) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 33 |
| 0 | 13 | 33 |
| 1 | 29 | 33 |
| 0 | 129 | 33 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 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))) |
(*.f64 y #s(literal 2 binary64)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (neg.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 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)))) |
(neg.f64 (/.f64 (neg.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(neg.f64 (/.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 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 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.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 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))) (PI.f64))) |
(tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (/.f64 x #s(literal 2 binary64)) y) |
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 #s(literal -2 binary64) y))) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) y))) |
(neg.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) y)) |
(fma.f64 y #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y)) |
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) |
(+.f64 y y) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
Compiled 2 500 to 426 computations (83% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 63 | 14 | 77 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 64 | 14 | 78 |
| Status | Accuracy | Program |
|---|---|---|
| 7.6% | (/.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))))) | |
| 7.7% | (/.f64 (/.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))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.3% | (/.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))))) | |
| 43.0% | (/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.3% | (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 36.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))) |
| 42.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| ▶ | 7.6% | (/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| ▶ | 43.3% | (/.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))))) |
| 43.1% | (/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.4% | (/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 46.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
| 53.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| ▶ | 53.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 580 to 396 computations (31.7% saved)
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | (/.f64 x (*.f64 #s(literal 2 binary64) y)) | |
| cost-diff | 0 | (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) | |
| cost-diff | 12 | (/.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))))) | |
| cost-diff | 0 | (PI.f64) | |
| cost-diff | 0 | (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 2 | (tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) | |
| cost-diff | 0 | (/.f64 x (*.f64 y #s(literal 2 binary64))) | |
| cost-diff | 0 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))) | |
| cost-diff | 2 | (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) y) | |
| cost-diff | 0 | (/.f64 #s(literal 1/8 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 292 |
| 0 | 65 | 288 |
| 1 | 115 | 288 |
| 2 | 237 | 276 |
| 3 | 692 | 276 |
| 4 | 2709 | 273 |
| 5 | 6738 | 273 |
| 0 | 8302 | 270 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) y) |
#s(literal 1/8 binary64) |
y |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))) |
(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) |
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) |
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
(/.f64 #s(literal -1/48 binary64) y) |
#s(literal -1/48 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(PI.f64) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
x |
(*.f64 #s(literal 2 binary64) y) |
#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)) |
(/.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))))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
x |
(*.f64 #s(literal 2 binary64) y) |
#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)))) |
(cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) y) |
#s(literal 1/8 binary64) |
y |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(approx (sin (/ x (* y 2))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
x |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)) |
#s(approx (sin (/ x (* y 2))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) y) |
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
(/.f64 #s(literal -1/48 binary64) y) |
#s(literal -1/48 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (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)))) |
(tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64)) |
(PI.f64) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
x |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 y #s(literal 2 binary64)) |
(*.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 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
x |
(*.f64 #s(literal 2 binary64) y) |
#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)))) |
(cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.171875 | (*.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) | |
| accuracy | 6.195381276270632 | (/.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))))) | |
| accuracy | 29.846486671208975 | (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 30.109796510545664 | (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 0.01953125 | (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 6.214912526270632 | (/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 30.109796510545664 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 59.0435603928928 | (tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) | |
| accuracy | 5.119197964823638 | (/.f64 (*.f64 x x) y) | |
| accuracy | 6.214912526270632 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))) | |
| accuracy | 30.46843790840453 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 32.69806239488462 | #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 2.1495753324627254 | (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) | |
| accuracy | 5.119197964823638 | (/.f64 (*.f64 x x) y) | |
| accuracy | 32.67234200631306 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) | |
| accuracy | 29.95582250354771 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| 211.0ms | 192× | 1 | valid |
| 88.0ms | 54× | 2 | valid |
| 8.0ms | 4× | 3 | valid |
| 2.0ms | 6× | 0 | valid |
Compiled 255 to 34 computations (86.7% saved)
ival-tan: 56.0ms (20.8% of total)ival-div: 53.0ms (19.7% of total)ival-mult: 41.0ms (15.2% of total)ival-cos: 40.0ms (14.9% of total)ival-sin: 37.0ms (13.8% of total)adjust: 27.0ms (10% of total)ival-add: 6.0ms (2.2% of total)const: 6.0ms (2.2% of total)ival-pi: 2.0ms (0.7% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 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 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(PI.f64) |
(/.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))))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 x x) |
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(cos.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)))) |
| Outputs |
|---|
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ (pow x 2) y) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ (sin (PI)) (cos (PI))) |
(+ (* x (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI)))) |
(+ (* x (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* y (cos (PI)))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI)))) |
(+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (- (* -1 (* x (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/2 (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* y (cos (PI)))))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI)))) |
(* 2 (/ (* y (sin (PI))) (* x (cos (PI))))) |
(/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))))) (* 2 (/ (* y (sin (PI))) (cos (PI))))) x) |
(/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x) |
(/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (+ (* x (- (* -2 (* y (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/12 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) y)))) (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x) |
(PI) |
(+ (PI) (* 1/2 (/ x y))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(pow x 2) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* x (+ (* -1/12 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/12 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/92160 (/ 1 (pow y 7))) (* 19/215040 (/ 1 (pow y 7)))))) (* 1/240 (/ 1 (pow y 5))))) (* 1/12 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* -1/48 (/ (pow x 3) (pow y 3))) |
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3))))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (+ (PI) (* 1/2 (/ x y)))) (cos (+ (PI) (* 1/2 (/ x y))))) |
(/ (sin (+ (PI) (* 1/2 (/ x y)))) (* (cos (+ (PI) (* 1/2 (/ x y)))) (sin (* 1/2 (/ x y))))) |
(* x (+ (* 1/2 (/ 1 y)) (/ (PI) x))) |
(sin (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(* (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ x y)))) |
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y)))))) |
(/ (sin (- (PI) (* -1/2 (/ x y)))) (cos (- (PI) (* -1/2 (/ x y))))) |
(/ (sin (- (PI) (* -1/2 (/ x y)))) (* (cos (- (PI) (* -1/2 (/ x y)))) (sin (* 1/2 (/ x y))))) |
(* -1 (* x (- (* -1 (/ (PI) x)) (* 1/2 (/ 1 y))))) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ 1/8 y) |
(/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3)) |
(/ (+ (* 1/2 x) (* y (PI))) y) |
(* 2 y) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y) |
(- (+ (* 1/2 (/ x y)) (/ (sin (PI)) (cos (PI)))) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 2))))) |
(- (+ (* 1/2 (/ x y)) (+ (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* (pow y 2) (cos (PI))))) (/ (sin (PI)) (cos (PI))))) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 2))))) |
(- (+ (* -1/48 (/ (pow x 3) (pow y 3))) (+ (* 1/2 (/ x y)) (/ (sin (PI)) (cos (PI))))) (+ (* -1/2 (/ (* x (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* (pow y 2) (cos (PI))))) (+ (* -1/2 (/ (* x (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 2)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* (pow y 3) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (pow y 3))) (* 1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (* (pow y 3) (pow (cos (PI)) 2))))))))) |
(* y (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))))) |
(* y (- (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (+ (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))) (/ (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (* (pow y 2) (cos (PI)))))) (* -1/12 (/ (* x (sin (PI))) (* (pow y 2) (cos (PI))))))) |
(* y (- (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (+ (* 2 (/ (- (* -1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* 1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* x (pow y 3)))) (+ (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))) (/ (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (* (pow y 2) (cos (PI))))))) (+ (* -1/12 (/ (* x (sin (PI))) (* (pow y 2) (cos (PI))))) (* -1/12 (/ (* x (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (pow y 3)))))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x))) y) |
(/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/384 (/ (pow x 5) (pow y 4))) (* 1/2 x)))))) y) |
(/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/18432 (/ (pow x 7) (pow y 6))) (+ (* -1/30720 (/ (pow x 7) (pow y 6))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/384 (/ (pow x 5) (pow y 4))) (* 1/2 x)))))))))) y) |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(+ (* -1 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI)))) |
(+ (* -1 (/ (- (+ (* -1/2 x) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* y (cos (PI)))))) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (cos (PI))))) y)) (* -1/2 x)) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI)))) |
(* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y)))))) |
(* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y))))) |
(* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) x)) (* 1/12 (* x (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))))) y)) (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI)))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y))))) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* 1/48 (/ (pow x 3) (pow y 2))) (* 1/16 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/384 (/ (pow x 5) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/48 (/ (pow x 3) (pow y 2))) (* 1/16 (/ (pow x 3) (pow y 2)))))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/384 (/ (pow x 5) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/30720 (/ (pow x 7) (pow y 6))) (+ (* 1/18432 (/ (pow x 7) (pow y 6))) (+ (* 1/48 (/ (pow x 3) (pow y 2))) (* 1/16 (/ (pow x 3) (pow y 2)))))))))))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 46.0ms | y | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (tan (+ (PI) (/ x (* 2 y)))) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (+ (PI) (/ x (* 2 y))) (PI) (/ (sin (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y))))) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (* x x) (sin (/ x (* y 2))) (sin (/ x (* y 2))) (cos (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y))))) |
| 15.0ms | x | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (tan (+ (PI) (/ x (* 2 y)))) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (+ (PI) (/ x (* 2 y))) (PI) (/ (sin (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y))))) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (* x x) (sin (/ x (* y 2))) (sin (/ x (* y 2))) (cos (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y))))) |
| 7.0ms | y | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (tan (+ (PI) (/ x (* 2 y)))) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (+ (PI) (/ x (* 2 y))) (PI) (/ (sin (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y))))) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (* x x) (sin (/ x (* y 2))) (sin (/ x (* y 2))) (cos (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y))))) |
| 6.0ms | x | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (tan (+ (PI) (/ x (* 2 y)))) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (+ (PI) (/ x (* 2 y))) (PI) (/ (sin (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y))))) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (* x x) (sin (/ x (* y 2))) (sin (/ x (* y 2))) (cos (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y))))) |
| 5.0ms | y | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (tan (+ (PI) (/ x (* 2 y)))) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (+ (PI) (/ x (* 2 y))) (PI) (/ (sin (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y))))) (sin (/ x (* 2 y))) (/ x (* 2 y)) (* 2 y) (* x x) (sin (/ x (* y 2))) (sin (/ x (* y 2))) (cos (/ x (* 2 y))) (* (cos (/ x (* 2 y))) (sin (/ x (* 2 y))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 691 | 3266 |
| 1 | 2457 | 2634 |
| 0 | 8988 | 2456 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ (pow x 2) y) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ (sin (PI)) (cos (PI))) |
(+ (* x (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI)))) |
(+ (* x (- (+ (* 1/2 (/ 1 y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* y (cos (PI)))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI)))) |
(+ (* x (- (+ (* 1/2 (/ 1 y)) (* x (- (* -1 (* x (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/2 (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* y (cos (PI)))))))) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (/ (sin (PI)) (cos (PI)))) |
(* 2 (/ (* y (sin (PI))) (* x (cos (PI))))) |
(/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))))) (* 2 (/ (* y (sin (PI))) (cos (PI))))) x) |
(/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x) |
(/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (+ (* x (- (* -2 (* y (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/12 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) y)))) (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x) |
(PI) |
(+ (PI) (* 1/2 (/ x y))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(pow x 2) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* x (+ (* -1/12 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/12 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/92160 (/ 1 (pow y 7))) (* 19/215040 (/ 1 (pow y 7)))))) (* 1/240 (/ 1 (pow y 5))))) (* 1/12 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* -1/48 (/ (pow x 3) (pow y 3))) |
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3))))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (+ (PI) (* 1/2 (/ x y)))) (cos (+ (PI) (* 1/2 (/ x y))))) |
(/ (sin (+ (PI) (* 1/2 (/ x y)))) (* (cos (+ (PI) (* 1/2 (/ x y)))) (sin (* 1/2 (/ x y))))) |
(* x (+ (* 1/2 (/ 1 y)) (/ (PI) x))) |
(sin (* 1/2 (/ x y))) |
(cos (* 1/2 (/ x y))) |
(* (cos (* 1/2 (/ x y))) (sin (* 1/2 (/ x y)))) |
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y)))))) |
(/ (sin (- (PI) (* -1/2 (/ x y)))) (cos (- (PI) (* -1/2 (/ x y))))) |
(/ (sin (- (PI) (* -1/2 (/ x y)))) (* (cos (- (PI) (* -1/2 (/ x y)))) (sin (* 1/2 (/ x y))))) |
(* -1 (* x (- (* -1 (/ (PI) x)) (* 1/2 (/ 1 y))))) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ 1/8 y) |
(/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3)) |
(/ (+ (* 1/2 x) (* y (PI))) y) |
(* 2 y) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y) |
(- (+ (* 1/2 (/ x y)) (/ (sin (PI)) (cos (PI)))) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 2))))) |
(- (+ (* 1/2 (/ x y)) (+ (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* (pow y 2) (cos (PI))))) (/ (sin (PI)) (cos (PI))))) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 2))))) |
(- (+ (* -1/48 (/ (pow x 3) (pow y 3))) (+ (* 1/2 (/ x y)) (/ (sin (PI)) (cos (PI))))) (+ (* -1/2 (/ (* x (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* (pow y 2) (cos (PI))))) (+ (* -1/2 (/ (* x (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 2)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* (pow y 3) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (pow y 3))) (* 1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (* (pow y 3) (pow (cos (PI)) 2))))))))) |
(* y (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))))) |
(* y (- (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (+ (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))) (/ (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (* (pow y 2) (cos (PI)))))) (* -1/12 (/ (* x (sin (PI))) (* (pow y 2) (cos (PI))))))) |
(* y (- (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (+ (* 2 (/ (- (* -1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* 1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* x (pow y 3)))) (+ (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))) (/ (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (* (pow y 2) (cos (PI))))))) (+ (* -1/12 (/ (* x (sin (PI))) (* (pow y 2) (cos (PI))))) (* -1/12 (/ (* x (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (pow y 3)))))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x))) y) |
(/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/384 (/ (pow x 5) (pow y 4))) (* 1/2 x)))))) y) |
(/ (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/18432 (/ (pow x 7) (pow y 6))) (+ (* -1/30720 (/ (pow x 7) (pow y 6))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/384 (/ (pow x 5) (pow y 4))) (* 1/2 x)))))))))) y) |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(+ (* -1 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI)))) |
(+ (* -1 (/ (- (+ (* -1/2 x) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* y (cos (PI)))))) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (cos (PI))))) y)) (* -1/2 x)) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI)))) |
(* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y)))))) |
(* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y))))) |
(* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) x)) (* 1/12 (* x (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))))) y)) (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI)))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y))))) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* 1/48 (/ (pow x 3) (pow y 2))) (* 1/16 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/384 (/ (pow x 5) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/48 (/ (pow x 3) (pow y 2))) (* 1/16 (/ (pow x 3) (pow y 2)))))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/384 (/ (pow x 5) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/30720 (/ (pow x 7) (pow y 6))) (+ (* 1/18432 (/ (pow x 7) (pow y 6))) (+ (* 1/48 (/ (pow x 3) (pow y 2))) (* 1/16 (/ (pow x 3) (pow y 2)))))))))))) y)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/384 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 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)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
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(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 1/48 binary64) y) (/.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))))) (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) (+.f64 (/.f64 (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)))) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 (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 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/92160 binary64))) (pow.f64 y #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))))) (neg.f64 y)) |
(+ (* -1 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI)))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64)) (neg.f64 y)) |
(+ (* -1 (/ (- (+ (* -1/2 x) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* y (cos (PI)))))) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI)))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64)) (neg.f64 y)) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) y)) (* 1/2 (/ (* x (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (cos (PI))))) y)) (* -1/2 x)) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) y)) (/ (sin (PI)) (cos (PI)))) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) #s(literal 0 binary64)) #s(literal -1/8 binary64) #s(literal 0 binary64))) y) #s(literal -1 binary64) #s(literal 0 binary64)) y) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64))) (neg.f64 y)) |
(* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y)))))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64)) x) #s(literal 0 binary64))) |
(* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y))))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64)) x) #s(literal -2 binary64) #s(literal 0 binary64)) y))) |
(* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) x)) (* 1/12 (* x (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))))) y)) (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI)))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y))))) |
(*.f64 (neg.f64 y) (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64)) x) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 x x) #s(literal 0 binary64)) #s(literal -1/8 binary64) #s(literal 0 binary64))) x) #s(literal -2 binary64) (*.f64 #s(literal -1/12 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 0 binary64)) x))) (neg.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64)) y)) y))) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 1/48 binary64) y) (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) x))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 1/48 binary64) y) (/.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* 1/48 (/ (pow x 3) (pow y 2))) (* 1/16 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/12 binary64) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/384 (/ (pow x 5) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/48 (/ (pow x 3) (pow y 2))) (* 1/16 (/ (pow x 3) (pow y 2)))))))) y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/384 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/640 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/12 binary64))))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/384 (/ (pow x 5) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/30720 (/ (pow x 7) (pow y 6))) (+ (* 1/18432 (/ (pow x 7) (pow y 6))) (+ (* 1/48 (/ (pow x 3) (pow y 2))) (* 1/16 (/ (pow x 3) (pow y 2)))))))))))) y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal -1/384 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/640 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/80640 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/11520 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal 1/12 binary64))))))) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 224 |
| 0 | 65 | 213 |
| 1 | 211 | 213 |
| 0 | 1336 | 213 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 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 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) y) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(PI.f64) |
(/.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))))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 x x) |
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(cos.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)))) |
| Outputs |
|---|
#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) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (/.f64 x y) (/.f64 #s(literal 1/8 binary64) y)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)))) |
(-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 x x) y)) (/.f64 #s(literal 1/8 binary64) y))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) y)) (/.f64 (*.f64 x x) y))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y))) |
(/.f64 #s(literal -1/8 binary64) (neg.f64 y)) |
(/.f64 #s(literal 1/8 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal 1/8 binary64) y) |
(neg.f64 (/.f64 #s(literal -1/8 binary64) y)) |
(neg.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 y))) |
(*.f64 (/.f64 x y) x) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) y)) |
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) y)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y)) |
(/.f64 (*.f64 x x) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 x x) y) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) y)) |
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 y))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) y) x) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) (/.f64 x y)) |
(*.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) y)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) x) (neg.f64 y)) |
(/.f64 (*.f64 x (neg.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x)) (neg.f64 y)) |
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y) |
(fma.f64 (*.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (/.f64 (*.f64 x x) y) y)) x (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
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(tan.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64))) |
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(+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64)) |
(+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(PI.f64) |
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(/.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)))) |
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(neg.f64 (/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(neg.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))))) |
(neg.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (/.f64 x #s(literal 2 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 #s(literal -2 binary64) y))) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 (/.f64 x #s(literal 2 binary64)) y) |
(/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
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(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
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(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) y)) |
(fma.f64 y #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y)) |
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64))) |
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(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
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(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
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(pow.f64 x #s(literal 2 binary64)) |
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(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) y) x)) |
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(sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) |
(cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) |
(cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
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(*.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (sin.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 x y) #s(literal -2 binary64))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))) (cos.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))))) #s(literal 2 binary64)) |
Compiled 10 051 to 1 352 computations (86.5% saved)
34 alts after pruning (33 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 271 | 24 | 295 |
| Fresh | 0 | 9 | 9 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 275 | 34 | 309 |
| Status | Accuracy | Program |
|---|---|---|
| 7.6% | (/.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))))) | |
| 7.7% | (/.f64 (/.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))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.3% | (/.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))))) | |
| ▶ | 43.0% | (/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 4.8% | (/.f64 (tan.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.3% | (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 36.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y))) |
| 36.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) (/.f64 x y)))) | |
| 39.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))) | |
| 42.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| 39.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) #s(approx (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) | |
| 7.6% | (/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 7.6% | (/.f64 (tan.f64 #s(approx (+ (PI) (/ x (* 2 y))) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 2.7% | (/.f64 (tan.f64 #s(approx (+ (PI) (/ x (* 2 y))) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.3% | (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (*.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 7.7% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) #s(literal 2 binary64))) | |
| 43.3% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) #s(literal 2 binary64))) | |
| 43.3% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (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 x (*.f64 #s(literal 2 binary64) y))))) | |
| 42.7% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 43.4% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 23.7% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (cos.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 28.9% | (/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/24 binary64))) (neg.f64 y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))) | |
| 43.1% | (/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 32.9% | (/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (fma.f64 #s(literal 1/24 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 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))) | |
| 38.4% | (/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 7.6% | (/.f64 #s(approx (tan (+ (PI) (/ x (* 2 y)))) (/.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 48.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) | |
| 44.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) | |
| 45.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)))) | |
| 53.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| ▶ | 53.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
| ✓ | 53.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| ▶ | 45.0% | #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x)) |
| ▶ | 3.1% | #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64)) |
Compiled 1 853 to 1 170 computations (36.9% saved)
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) | |
| cost-diff | 1 | (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) | |
| cost-diff | 1 | (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| cost-diff | 12 | (/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 2 | (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x) | |
| cost-diff | 3 | (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) | |
| cost-diff | 5 | (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) | |
| cost-diff | 7 | (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) | |
| cost-diff | 0 | (*.f64 y #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 x (*.f64 y #s(literal 2 binary64))) | |
| cost-diff | 0 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y))) | |
| cost-diff | 0 | #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) | |
| cost-diff | 0 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 632 |
| 0 | 117 | 559 |
| 1 | 218 | 539 |
| 2 | 509 | 503 |
| 3 | 1955 | 440 |
| 0 | 8552 | 439 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
x |
y |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y))) |
(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) |
#s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y)) |
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) |
(fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(/.f64 #s(literal -1/48 binary64) y) |
#s(literal -1/48 binary64) |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 #s(literal -1/8 binary64) y) |
#s(literal -1/8 binary64) |
y |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) |
(-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
#s(literal 0 binary64) |
(/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64))) |
#s(literal 1/48 binary64) |
(pow.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -2 binary64) |
(*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y)) |
#s(literal 1/12 binary64) |
x |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) |
#s(literal 2 binary64) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
x |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(PI.f64) |
(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)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
x |
y |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y))) |
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) x) y))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
x |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
#s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y)) |
#s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) x) y)) |
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y) |
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) x) y) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) |
(*.f64 (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) x) |
(fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) |
(/.f64 #s(literal -1/48 binary64) y) |
#s(literal -1/48 binary64) |
(/.f64 (*.f64 x x) y) |
(*.f64 (/.f64 x y) x) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 y y)) y) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x) |
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 y y)) y) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 y y)) y) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) x) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 y y)) y) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 y y)) y) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) x) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 y y)) y) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) |
(/.f64 (*.f64 y (/.f64 #s(literal -1/24 binary64) (*.f64 y y))) y) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(/.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 y y)) y) |
(/.f64 #s(literal -1/8 binary64) y) |
#s(literal -1/8 binary64) |
y |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) |
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y) |
(-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
#s(literal 0 binary64) |
(/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64))) |
#s(literal 1/48 binary64) |
(pow.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -2 binary64) |
(*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y)) |
(/.f64 #s(literal 1/24 binary64) (*.f64 y y)) |
#s(literal 1/12 binary64) |
x |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
x |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(PI.f64) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.214912526270632 | (/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 30.109796510545664 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 30.109796510545664 | (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 30.12855270126121 | (cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) | |
| accuracy | 6.421724220561132 | (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) | |
| accuracy | 10.230247423582462 | (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) | |
| accuracy | 20.713703252889296 | (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) | |
| accuracy | 32.67234200631306 | #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x)) | |
| accuracy | 5.119197964823638 | (/.f64 (*.f64 x x) y) | |
| accuracy | 6.214912526270632 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y))) | |
| accuracy | 30.46843790840453 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 32.69806239488462 | #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y)) | |
| accuracy | 61.999312823982976 | #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64)) | |
| accuracy | 0.0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) | |
| accuracy | 0.00390625 | (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) | |
| accuracy | 0.12109375 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) | |
| accuracy | 29.846486671208975 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
| 258.0ms | 192× | 1 | valid |
| 130.0ms | 54× | 2 | valid |
| 11.0ms | 4× | 3 | valid |
| 3.0ms | 6× | 0 | valid |
Compiled 579 to 65 computations (88.8% saved)
adjust: 69.0ms (20.2% of total)ival-mult: 52.0ms (15.2% of total)ival-tan: 52.0ms (15.2% of total)ival-div: 50.0ms (14.6% of total)const: 36.0ms (10.5% of total)ival-add: 31.0ms (9.1% of total)ival-cos: 21.0ms (6.2% of total)ival-sin: 16.0ms (4.7% of total)ival-pow: 6.0ms (1.8% of total)ival-neg: 3.0ms (0.9% of total)ival-sub: 2.0ms (0.6% of total)ival-pi: 2.0ms (0.6% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64)) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y)) |
(/.f64 (*.f64 x x) y) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x)) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* -1/2 (/ x y)) |
(* 2 (/ (* y (sin (PI))) (* x (cos (PI))))) |
(/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))))) (* 2 (/ (* y (sin (PI))) (cos (PI))))) x) |
(/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x) |
(/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (+ (* x (- (* -2 (* y (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/12 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) y)))) (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
x |
(* x (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))) |
(/ -1 (cos (PI))) |
(- (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI)))) |
(- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* 1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(- (* x (- (* x (- (* -1 (* x (+ (* -1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (+ (* 1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/2 (/ (* (sin (PI)) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))))) (* y (cos (PI))))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* 1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(* -1/2 (/ x (* y (cos (PI))))) |
(* x (- (* -1/4 (/ (* x (sin (PI))) (* (pow y 2) (pow (cos (PI)) 2)))) (* 1/2 (/ 1 (* y (cos (PI))))))) |
(* x (- (* x (+ (* -1 (* x (- (* 1/16 (/ 1 (* (pow y 3) (cos (PI))))) (+ (* -1/8 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 3)))) (* 1/48 (/ 1 (* (pow y 3) (cos (PI))))))))) (* -1/4 (/ (sin (PI)) (* (pow y 2) (pow (cos (PI)) 2)))))) (* 1/2 (/ 1 (* y (cos (PI))))))) |
(* x (- (* x (+ (* -1/4 (/ (sin (PI)) (* (pow y 2) (pow (cos (PI)) 2)))) (* x (+ (* -1 (- (* 1/16 (/ 1 (* (pow y 3) (cos (PI))))) (+ (* -1/8 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 3)))) (* 1/48 (/ 1 (* (pow y 3) (cos (PI)))))))) (* x (+ (* -1/2 (/ (* (sin (PI)) (- (* 1/16 (/ 1 (* (pow y 3) (cos (PI))))) (+ (* -1/8 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 3)))) (* 1/48 (/ 1 (* (pow y 3) (cos (PI)))))))) (* y (cos (PI))))) (+ (* -1/32 (/ (sin (PI)) (* (pow y 4) (pow (cos (PI)) 2)))) (* 1/96 (/ (sin (PI)) (* (pow y 4) (pow (cos (PI)) 2))))))))))) (* 1/2 (/ 1 (* y (cos (PI))))))) |
(* x (- (* 1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (- (* (pow x 2) (+ (* -1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(cos (PI)) |
(+ (cos (PI)) (* -1/2 (/ (* x (sin (PI))) y))) |
(+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* 1/2 (/ (sin (PI)) y))))) |
(+ (cos (PI)) (* x (- (* x (+ (* -1/8 (/ (cos (PI)) (pow y 2))) (* 1/48 (/ (* x (sin (PI))) (pow y 3))))) (* 1/2 (/ (sin (PI)) y))))) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ (pow x 2) y) |
(* 1/8 (/ x (pow y 2))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(cos (* -1/2 (/ x y))) |
(/ (sin (+ (PI) (* 1/2 (/ x y)))) (* (cos (+ (PI) (* 1/2 (/ x y)))) (sin (* 1/2 (/ x y))))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/8 (/ (pow x 3) (pow y 2))) |
(* (pow x 3) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(/ -1 (cos (+ (PI) (* 1/2 (/ x y))))) |
(* -1 (/ (sin (* 1/2 (/ x y))) (cos (+ (PI) (* 1/2 (/ x y)))))) |
(* -1 (sin (* 1/2 (/ x y)))) |
(cos (+ (PI) (* 1/2 (/ x y)))) |
(sin (* 1/2 (/ x y))) |
(/ (sin (- (PI) (* -1/2 (/ x y)))) (* (cos (- (PI) (* -1/2 (/ x y)))) (sin (* 1/2 (/ x y))))) |
(/ -1 (cos (- (PI) (* -1/2 (/ x y))))) |
(* -1 (/ (sin (* 1/2 (/ x y))) (cos (- (PI) (* -1/2 (/ x y)))))) |
(cos (- (PI) (* -1/2 (/ x y)))) |
(* 2 y) |
(/ -1/24 (pow y 3)) |
1/2 |
(/ (+ (* 1/8 (pow x 3)) (* x (pow y 2))) (pow y 2)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ -1/24 (pow y 2)) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(* y (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))))) |
(* y (- (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (+ (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))) (/ (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (* (pow y 2) (cos (PI)))))) (* -1/12 (/ (* x (sin (PI))) (* (pow y 2) (cos (PI))))))) |
(* y (- (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (+ (* 2 (/ (- (* -1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* 1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* x (pow y 3)))) (+ (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))) (/ (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (* (pow y 2) (cos (PI))))))) (+ (* -1/12 (/ (* x (sin (PI))) (* (pow y 2) (cos (PI))))) (* -1/12 (/ (* x (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (pow y 3)))))) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y) |
(+ x (* 1/8 (/ (pow x 3) (pow y 2)))) |
(- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))) (pow y 2))) (+ (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))) |
(- (* -1 (/ (+ (* -1/48 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))) (+ (* 1/16 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))) (* 1/2 (/ (* x (* (sin (PI)) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (cos (PI)))))) (pow y 3))) (+ (* 1/8 (/ (pow x 2) (* (pow y 2) (cos (PI))))) (+ (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* (pow y 2) (pow (cos (PI)) 3)))) (+ (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))))) |
(/ (+ (* -1/2 (/ x (cos (PI)))) (* -1/4 (/ (* (pow x 2) (sin (PI))) (* y (pow (cos (PI)) 2))))) y) |
(/ (+ (* -1 (/ (- (* -1/48 (/ (pow x 3) (cos (PI)))) (+ (* -1/8 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))) (* -1/16 (/ (pow x 3) (cos (PI)))))) (pow y 2))) (+ (* -1/2 (/ x (cos (PI)))) (* -1/4 (/ (* (pow x 2) (sin (PI))) (* y (pow (cos (PI)) 2)))))) y) |
(/ (+ (* -1 (/ (- (* -1/48 (/ (pow x 3) (cos (PI)))) (+ (* -1/8 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))) (* -1/16 (/ (pow x 3) (cos (PI)))))) (pow y 2))) (+ (* -1/2 (/ x (cos (PI)))) (+ (* -1/2 (/ (* x (* (sin (PI)) (- (* -1/48 (/ (pow x 3) (cos (PI)))) (+ (* -1/8 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))) (* -1/16 (/ (pow x 3) (cos (PI)))))))) (* (pow y 3) (cos (PI))))) (+ (* -1/4 (/ (* (pow x 2) (sin (PI))) (* y (pow (cos (PI)) 2)))) (+ (* -1/32 (/ (* (pow x 4) (sin (PI))) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/96 (/ (* (pow x 4) (sin (PI))) (* (pow y 3) (pow (cos (PI)) 2))))))))) y) |
(/ (- (* 1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (- (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x))) y) |
(/ (- (* 1/645120 (/ (pow x 7) (pow y 6))) (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(- (+ (cos (PI)) (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2)))) (* 1/2 (/ (* x (sin (PI))) y))) |
(- (+ (cos (PI)) (+ (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2))) (* 1/48 (/ (* (pow x 3) (sin (PI))) (pow y 3))))) (* 1/2 (/ (* x (sin (PI))) y))) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y)))))) |
(* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y))))) |
(* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) x)) (* 1/12 (* x (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))))) y)) (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI)))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y))))) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(- (* -1 (/ (- (+ (* 1/8 (/ (pow x 2) (* y (cos (PI))))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 3))))) (* -1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI)))) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (sin (PI)) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (* y (cos (PI))))) (+ (* -1/16 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))) (* 1/48 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))))) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))) y)) (* -1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI)))) |
(* -1 (/ (+ (* 1/4 (/ (* (pow x 2) (sin (PI))) (* y (pow (cos (PI)) 2)))) (* 1/2 (/ x (cos (PI))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (sin (PI))) (pow (cos (PI)) 2))) (* 1/48 (/ (pow x 3) (* y (cos (PI)))))) (+ (* 1/16 (/ (pow x 3) (* y (cos (PI))))) (* 1/8 (/ (* (pow x 3) (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 3)))))) y)) (* 1/2 (/ x (cos (PI))))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/48 (/ (pow x 3) (cos (PI)))) (+ (* 1/16 (/ (pow x 3) (cos (PI)))) (* 1/8 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (* -1 (/ (+ (* -1/32 (/ (* (pow x 4) (sin (PI))) (pow (cos (PI)) 2))) (+ (* 1/96 (/ (* (pow x 4) (sin (PI))) (pow (cos (PI)) 2))) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/48 (/ (pow x 3) (cos (PI)))) (+ (* 1/16 (/ (pow x 3) (cos (PI)))) (* 1/8 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))))) (cos (PI)))))) y))) y)) (* -1/4 (/ (* (pow x 2) (sin (PI))) (pow (cos (PI)) 2)))) y)) (* 1/2 (/ x (cos (PI))))) y)) |
(* -1 (/ (- (* -1/48 (/ (pow x 3) (pow y 2))) (* -1/2 x)) y)) |
(* -1 (/ (- (* 1/3840 (/ (pow x 5) (pow y 4))) (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (- (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* -1/2 (* x (sin (PI))))) y))) |
(+ (cos (PI)) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (PI)))) (* 1/48 (/ (* (pow x 3) (sin (PI))) y))) y)) (* -1/2 (* x (sin (PI))))) y))) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 53.0ms | y | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) (+ (* (/ 1/2 y) y) 0) (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2))) (/ (* x x) y) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) (sin (/ x (* 2 y))) (sin (/ x (* y 2)))) |
| 12.0ms | x | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) (+ (* (/ 1/2 y) y) 0) (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2))) (/ (* x x) y) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) (sin (/ x (* 2 y))) (sin (/ x (* y 2)))) |
| 9.0ms | y | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) (+ (* (/ 1/2 y) y) 0) (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2))) (/ (* x x) y) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) (sin (/ x (* 2 y))) (sin (/ x (* y 2)))) |
| 7.0ms | y | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) (+ (* (/ 1/2 y) y) 0) (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2))) (/ (* x x) y) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) (sin (/ x (* 2 y))) (sin (/ x (* y 2)))) |
| 6.0ms | x | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) (+ (* (/ 1/2 y) y) 0) (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2))) (/ (* x x) y) (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) (sin (/ x (* 2 y))) (sin (/ x (* y 2)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 842 | 3780 |
| 1 | 3126 | 3618 |
| 0 | 8508 | 3396 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* -1/2 (/ x y)) |
(* 2 (/ (* y (sin (PI))) (* x (cos (PI))))) |
(/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))))) (* 2 (/ (* y (sin (PI))) (cos (PI))))) x) |
(/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x) |
(/ (+ (* 2 (/ (* y (sin (PI))) (cos (PI)))) (* x (+ (* 2 (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))))) (* x (- (+ (* x (- (* -2 (* y (+ (* -1/4 (/ (* (pow (sin (PI)) 2) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (* (pow y 2) (pow (cos (PI)) 2)))) (+ (* -1/8 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) (pow y 2))) (+ (* 1/48 (/ 1 (pow y 3))) (* 1/48 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 2))))))))) (* -1/12 (/ (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2))))) y)))) (/ (* (sin (PI)) (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))) (cos (PI)))) (* -1/12 (/ (sin (PI)) (* y (cos (PI)))))))))) x) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
x |
(* x (+ 1 (* 1/8 (/ (pow x 2) (pow y 2))))) |
(/ -1 (cos (PI))) |
(- (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI)))) |
(- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* 1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(- (* x (- (* x (- (* -1 (* x (+ (* -1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (+ (* 1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/2 (/ (* (sin (PI)) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))))) (* y (cos (PI))))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* 1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(* -1/2 (/ x (* y (cos (PI))))) |
(* x (- (* -1/4 (/ (* x (sin (PI))) (* (pow y 2) (pow (cos (PI)) 2)))) (* 1/2 (/ 1 (* y (cos (PI))))))) |
(* x (- (* x (+ (* -1 (* x (- (* 1/16 (/ 1 (* (pow y 3) (cos (PI))))) (+ (* -1/8 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 3)))) (* 1/48 (/ 1 (* (pow y 3) (cos (PI))))))))) (* -1/4 (/ (sin (PI)) (* (pow y 2) (pow (cos (PI)) 2)))))) (* 1/2 (/ 1 (* y (cos (PI))))))) |
(* x (- (* x (+ (* -1/4 (/ (sin (PI)) (* (pow y 2) (pow (cos (PI)) 2)))) (* x (+ (* -1 (- (* 1/16 (/ 1 (* (pow y 3) (cos (PI))))) (+ (* -1/8 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 3)))) (* 1/48 (/ 1 (* (pow y 3) (cos (PI)))))))) (* x (+ (* -1/2 (/ (* (sin (PI)) (- (* 1/16 (/ 1 (* (pow y 3) (cos (PI))))) (+ (* -1/8 (/ (pow (sin (PI)) 2) (* (pow y 3) (pow (cos (PI)) 3)))) (* 1/48 (/ 1 (* (pow y 3) (cos (PI)))))))) (* y (cos (PI))))) (+ (* -1/32 (/ (sin (PI)) (* (pow y 4) (pow (cos (PI)) 2)))) (* 1/96 (/ (sin (PI)) (* (pow y 4) (pow (cos (PI)) 2))))))))))) (* 1/2 (/ 1 (* y (cos (PI))))))) |
(* x (- (* 1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (- (* (pow x 2) (+ (* -1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(cos (PI)) |
(+ (cos (PI)) (* -1/2 (/ (* x (sin (PI))) y))) |
(+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* 1/2 (/ (sin (PI)) y))))) |
(+ (cos (PI)) (* x (- (* x (+ (* -1/8 (/ (cos (PI)) (pow y 2))) (* 1/48 (/ (* x (sin (PI))) (pow y 3))))) (* 1/2 (/ (sin (PI)) y))))) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ (pow x 2) y) |
(* 1/8 (/ x (pow y 2))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(cos (* -1/2 (/ x y))) |
(/ (sin (+ (PI) (* 1/2 (/ x y)))) (* (cos (+ (PI) (* 1/2 (/ x y)))) (sin (* 1/2 (/ x y))))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* 1/8 (/ (pow x 3) (pow y 2))) |
(* (pow x 3) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(/ -1 (cos (+ (PI) (* 1/2 (/ x y))))) |
(* -1 (/ (sin (* 1/2 (/ x y))) (cos (+ (PI) (* 1/2 (/ x y)))))) |
(* -1 (sin (* 1/2 (/ x y)))) |
(cos (+ (PI) (* 1/2 (/ x y)))) |
(sin (* 1/2 (/ x y))) |
(/ (sin (- (PI) (* -1/2 (/ x y)))) (* (cos (- (PI) (* -1/2 (/ x y)))) (sin (* 1/2 (/ x y))))) |
(/ -1 (cos (- (PI) (* -1/2 (/ x y))))) |
(* -1 (/ (sin (* 1/2 (/ x y))) (cos (- (PI) (* -1/2 (/ x y)))))) |
(cos (- (PI) (* -1/2 (/ x y)))) |
(* 2 y) |
(/ -1/24 (pow y 3)) |
1/2 |
(/ (+ (* 1/8 (pow x 3)) (* x (pow y 2))) (pow y 2)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ -1/24 (pow y 2)) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(* y (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))))) |
(* y (- (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (+ (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))) (/ (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (* (pow y 2) (cos (PI)))))) (* -1/12 (/ (* x (sin (PI))) (* (pow y 2) (cos (PI))))))) |
(* y (- (+ (* 2 (/ (sin (PI)) (* x (cos (PI))))) (+ (* 2 (/ (- (* -1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* 1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* x (pow y 3)))) (+ (* 2 (/ (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y))) (/ (* (sin (PI)) (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (* (pow y 2) (cos (PI))))))) (+ (* -1/12 (/ (* x (sin (PI))) (* (pow y 2) (cos (PI))))) (* -1/12 (/ (* x (- (* 1/2 x) (* -1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (pow y 3)))))) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y) |
(+ x (* 1/8 (/ (pow x 3) (pow y 2)))) |
(- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))) (pow y 2))) (+ (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))) |
(- (* -1 (/ (+ (* -1/48 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))) (+ (* 1/16 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))) (* 1/2 (/ (* x (* (sin (PI)) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (cos (PI)))))) (pow y 3))) (+ (* 1/8 (/ (pow x 2) (* (pow y 2) (cos (PI))))) (+ (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* (pow y 2) (pow (cos (PI)) 3)))) (+ (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))))) |
(/ (+ (* -1/2 (/ x (cos (PI)))) (* -1/4 (/ (* (pow x 2) (sin (PI))) (* y (pow (cos (PI)) 2))))) y) |
(/ (+ (* -1 (/ (- (* -1/48 (/ (pow x 3) (cos (PI)))) (+ (* -1/8 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))) (* -1/16 (/ (pow x 3) (cos (PI)))))) (pow y 2))) (+ (* -1/2 (/ x (cos (PI)))) (* -1/4 (/ (* (pow x 2) (sin (PI))) (* y (pow (cos (PI)) 2)))))) y) |
(/ (+ (* -1 (/ (- (* -1/48 (/ (pow x 3) (cos (PI)))) (+ (* -1/8 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))) (* -1/16 (/ (pow x 3) (cos (PI)))))) (pow y 2))) (+ (* -1/2 (/ x (cos (PI)))) (+ (* -1/2 (/ (* x (* (sin (PI)) (- (* -1/48 (/ (pow x 3) (cos (PI)))) (+ (* -1/8 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))) (* -1/16 (/ (pow x 3) (cos (PI)))))))) (* (pow y 3) (cos (PI))))) (+ (* -1/4 (/ (* (pow x 2) (sin (PI))) (* y (pow (cos (PI)) 2)))) (+ (* -1/32 (/ (* (pow x 4) (sin (PI))) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/96 (/ (* (pow x 4) (sin (PI))) (* (pow y 3) (pow (cos (PI)) 2))))))))) y) |
(/ (- (* 1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (- (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x))) y) |
(/ (- (* 1/645120 (/ (pow x 7) (pow y 6))) (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(- (+ (cos (PI)) (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2)))) (* 1/2 (/ (* x (sin (PI))) y))) |
(- (+ (cos (PI)) (+ (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2))) (* 1/48 (/ (* (pow x 3) (sin (PI))) (pow y 3))))) (* 1/2 (/ (* x (sin (PI))) y))) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* 2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) (* x y)))))) |
(* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y))))) |
(* -1 (* y (+ (* -2 (/ (sin (PI)) (* x (cos (PI))))) (* -1 (/ (+ (* -2 (/ (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))) x)) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (/ (- (* 1/48 (pow x 3)) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sin (PI)) 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (pow (cos (PI)) 2))) (+ (* -1/8 (* (pow x 2) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) (* -1/48 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 2)))))) x)) (* 1/12 (* x (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))))) y)) (/ (* (sin (PI)) (- (* -1/2 x) (* 1/2 (/ (* x (pow (sin (PI)) 2)) (pow (cos (PI)) 2))))) (cos (PI)))) (* 1/12 (/ (* x (sin (PI))) (cos (PI))))) y))) y))))) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(- (* -1 (/ (- (+ (* 1/8 (/ (pow x 2) (* y (cos (PI))))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 3))))) (* -1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI)))) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (sin (PI)) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (* y (cos (PI))))) (+ (* -1/16 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))) (* 1/48 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))))) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))) y)) (* -1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI)))) |
(* -1 (/ (+ (* 1/4 (/ (* (pow x 2) (sin (PI))) (* y (pow (cos (PI)) 2)))) (* 1/2 (/ x (cos (PI))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (sin (PI))) (pow (cos (PI)) 2))) (* 1/48 (/ (pow x 3) (* y (cos (PI)))))) (+ (* 1/16 (/ (pow x 3) (* y (cos (PI))))) (* 1/8 (/ (* (pow x 3) (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 3)))))) y)) (* 1/2 (/ x (cos (PI))))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/48 (/ (pow x 3) (cos (PI)))) (+ (* 1/16 (/ (pow x 3) (cos (PI)))) (* 1/8 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (* -1 (/ (+ (* -1/32 (/ (* (pow x 4) (sin (PI))) (pow (cos (PI)) 2))) (+ (* 1/96 (/ (* (pow x 4) (sin (PI))) (pow (cos (PI)) 2))) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/48 (/ (pow x 3) (cos (PI)))) (+ (* 1/16 (/ (pow x 3) (cos (PI)))) (* 1/8 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))))) (cos (PI)))))) y))) y)) (* -1/4 (/ (* (pow x 2) (sin (PI))) (pow (cos (PI)) 2)))) y)) (* 1/2 (/ x (cos (PI))))) y)) |
(* -1 (/ (- (* -1/48 (/ (pow x 3) (pow y 2))) (* -1/2 x)) y)) |
(* -1 (/ (- (* 1/3840 (/ (pow x 5) (pow y 4))) (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (- (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* -1/2 (* x (sin (PI))))) y))) |
(+ (cos (PI)) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (PI)))) (* 1/48 (/ (* (pow x 3) (sin (PI))) y))) y)) (* -1/2 (* x (sin (PI))))) y))) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/384 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 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)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 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)))))) |
(fma.f64 (-.f64 (*.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) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(* 2 (/ (* y (sin (PI))) (* x (cos (PI))))) |
(*.f64 (/.f64 y x) #s(literal 0 binary64)) |
(/ (+ (* 2 (* x (* y (- (* 1/2 (/ 1 y)) (* -1/2 (/ (pow (sin (PI)) 2) (* y (pow (cos (PI)) 2)))))))) (* 2 (/ (* y (sin (PI))) (cos (PI))))) x) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) y)) (*.f64 #s(literal 0 binary64) y))) x) |
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(* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (sin (PI))) (pow (cos (PI)) 2))) (* 1/48 (/ (pow x 3) (* y (cos (PI)))))) (+ (* 1/16 (/ (pow x 3) (* y (cos (PI))))) (* 1/8 (/ (* (pow x 3) (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 3)))))) y)) (* 1/2 (/ x (cos (PI))))) y)) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/48 (/ (pow x 3) (cos (PI)))) (+ (* 1/16 (/ (pow x 3) (cos (PI)))) (* 1/8 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (* -1 (/ (+ (* -1/32 (/ (* (pow x 4) (sin (PI))) (pow (cos (PI)) 2))) (+ (* 1/96 (/ (* (pow x 4) (sin (PI))) (pow (cos (PI)) 2))) (* 1/2 (/ (* x (* (sin (PI)) (- (* 1/48 (/ (pow x 3) (cos (PI)))) (+ (* 1/16 (/ (pow x 3) (cos (PI)))) (* 1/8 (/ (* (pow x 3) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))))) (cos (PI)))))) y))) y)) (* -1/4 (/ (* (pow x 2) (sin (PI))) (pow (cos (PI)) 2)))) y)) (* 1/2 (/ x (cos (PI))))) y)) |
(/.f64 (fma.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/4 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal -1/32 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) (-.f64 (fma.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/48 binary64) (*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1/16 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal -1/8 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 1/96 binary64)))) y) (-.f64 (fma.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/48 binary64) (*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1/16 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal -1/8 binary64))))) (neg.f64 y))) (neg.f64 y))) (neg.f64 y)) |
(* -1 (/ (- (* -1/48 (/ (pow x 3) (pow y 2))) (* -1/2 x)) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 y)) |
(* -1 (/ (- (* 1/3840 (/ (pow x 5) (pow y 4))) (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (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))) (neg.f64 y)) |
(* -1 (/ (- (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/645120 binary64) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 y)) |
(+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* -1/2 (* x (sin (PI))))) y))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) y) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))) y) #s(literal -1 binary64) #s(literal -1 binary64)) |
(+ (cos (PI)) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (PI)))) (* 1/48 (/ (* (pow x 3) (sin (PI))) y))) y)) (* -1/2 (* x (sin (PI))))) y))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) y) #s(literal 1/48 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/8 binary64))) y) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))) y) #s(literal -1 binary64) #s(literal -1 binary64)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/3840 binary64) (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/645120 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 424 |
| 0 | 117 | 364 |
| 0 | 425 | 364 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64)) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
#s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y)) |
(/.f64 (*.f64 x x) y) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x)) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
#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)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) x) y) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 0 binary64)) |
(/.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x y)) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) x) y)))) |
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x y)) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) x) y))) |
(/.f64 (neg.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (cos.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (tan.f64 (PI.f64)) (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (PI.f64)) (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x 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)))) |
(neg.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(tan.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (PI.f64))) |
(tan.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 (/.f64 x #s(literal 2 binary64)) y) |
(/.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) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y))) (*.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64))))) (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y)) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y)) (-.f64 (*.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y)) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64))))))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y)) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) |
(+.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) y) |
(*.f64 y (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) y) y) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (/.f64 #s(literal 1/2 binary64) y) y)) #s(literal 0 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 0 binary64))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) |
(fma.f64 y (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) y)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x)) #s(literal 0 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x) #s(literal 0 binary64))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x #s(literal 0 binary64)) |
(fma.f64 x (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(+.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x)) (neg.f64 x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x) x) |
(+.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x) x) (/.f64 #s(literal 0 binary64) x)) |
(/.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 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (cos.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (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 (neg.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (cos.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (tan.f64 (PI.f64)) (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (PI.f64)) (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (cos.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x 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)))) |
(neg.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(tan.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (PI.f64))) |
(tan.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(sin.f64 (neg.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (cos.f64 (PI.f64)) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (sin.f64 (PI.f64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(cos.f64 (neg.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(cos.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64)))) |
#s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (*.f64 x (/.f64 x y)) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) x) y)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 y)) |
(/.f64 (*.f64 x x) y) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) x (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 2 binary64))) x) x)) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) |
(*.f64 y (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y)) #s(literal 0 binary64)) (-.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal 0 binary64))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) |
(fma.f64 y (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 0 binary64)) |
(+.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y)) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) |
(*.f64 x (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x)) #s(literal 0 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) #s(literal 0 binary64))))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x #s(literal 0 binary64)) |
(fma.f64 x (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) #s(literal 0 binary64)) |
(+.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal -1/8 binary64) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y))) x)) |
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
Compiled 10 735 to 1 325 computations (87.7% saved)
32 alts after pruning (29 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 187 | 14 | 201 |
| Fresh | 13 | 15 | 28 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 203 | 32 | 235 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.6% | (/.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))))) |
| 7.7% | (/.f64 (/.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))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.3% | (/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (-.f64 (*.f64 (cos.f64 (PI.f64)) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (sin.f64 (PI.f64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 43.4% | (/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 7.2% | (/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 4.8% | (/.f64 (tan.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.3% | (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 7.6% | (/.f64 (tan.f64 #s(approx (+ (PI) (/ x (* 2 y))) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.3% | (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (*.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 7.7% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) #s(literal 2 binary64))) | |
| 43.3% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) #s(literal 2 binary64))) | |
| 42.7% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 43.4% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 23.7% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (cos.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 43.0% | (/.f64 #s(approx (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.1% | (/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 32.8% | (/.f64 #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 (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y))) | |
| 36.6% | (/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y))) | |
| 52.7% | #s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 48.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) | |
| ▶ | 44.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
| ▶ | 53.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
| ▶ | 53.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
| ✓ | 53.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
| 47.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))) | |
| ✓ | 53.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| 29.2% | #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (fma.f64 y (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 y x) #s(literal 0 binary64)))) | |
| 45.1% | #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 #s(approx (+ (* (/ 1/2 y) y) 0) #s(literal 1/2 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x)) | |
| 40.0% | #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) y)) (*.f64 #s(literal 0 binary64) y))) x)) | |
| 43.0% | #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))))) | |
| 25.4% | #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(approx (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)))) | |
| ✓ | 3.1% | #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64)) |
Compiled 1 944 to 1 215 computations (37.5% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| cost-diff | 2 | (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) | |
| cost-diff | 3 | (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) | |
| cost-diff | 12 | (/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 0 | (cos.f64 (/.f64 x y)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) | |
| cost-diff | 0 | (/.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))))) | |
| cost-diff | 5 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) | |
| cost-diff | 0 | (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| cost-diff | 3 | (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 355 |
| 0 | 82 | 324 |
| 1 | 154 | 316 |
| 2 | 340 | 314 |
| 3 | 950 | 302 |
| 4 | 2741 | 302 |
| 5 | 7511 | 302 |
| 0 | 8005 | 302 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (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(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) |
#s(literal 1/8 binary64) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(/.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 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) |
#s(literal 1 binary64) |
(cos.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(sin.f64 (/.f64 x 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)) |
#s(literal 2 binary64) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
x |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(PI.f64) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x 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)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
#s(literal 1 binary64) |
(sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(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 x y) |
x |
y |
#s(literal -1/2 binary64) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/8 binary64) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 (/.f64 x y) y) x) |
(*.f64 x x) |
x |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #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 #s(literal -1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(/.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 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) |
(tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) |
#s(literal 1 binary64) |
(cos.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(sin.f64 (/.f64 x y)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #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)))) |
(neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
x |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(-.f64 (PI.f64) (/.f64 (+.f64 (PI.f64) (/.f64 x y)) #s(literal -2 binary64))) |
(+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) |
(PI.f64) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 x y) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.214912526270632 | (/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 29.794097964795323 | (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) | |
| accuracy | 30.109796510545664 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 30.109796510545664 | (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 16.947402345973934 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) | |
| accuracy | 29.846393742852566 | (cos.f64 (/.f64 x y)) | |
| accuracy | 30.109796510545664 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 30.304392390892623 | (sin.f64 (/.f64 x y)) | |
| accuracy | 0.0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| accuracy | 0.12109375 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| accuracy | 0.1953125 | (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) | |
| accuracy | 29.846486671208975 | (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.20923943554637223 | (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) | |
| accuracy | 12.503088373294428 | (/.f64 (*.f64 x x) (*.f64 y y)) | |
| accuracy | 32.67234200631306 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) | |
| accuracy | 0.0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| accuracy | 0.0234375 | (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) | |
| accuracy | 0.12109375 | (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| accuracy | 29.8109285813523 | (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
| 245.0ms | 161× | 1 | valid |
| 154.0ms | 38× | 3 | valid |
| 136.0ms | 53× | 2 | valid |
| 2.0ms | 4× | 0 | valid |
Compiled 329 to 45 computations (86.3% saved)
adjust: 132.0ms (29.2% of total)ival-sin: 131.0ms (29% of total)ival-mult: 80.0ms (17.7% of total)ival-div: 45.0ms (9.9% of total)ival-cos: 26.0ms (5.7% of total)ival-tan: 21.0ms (4.6% of total)ival-add: 10.0ms (2.2% of total)ival-sub: 4.0ms (0.9% of total)ival-pi: 2.0ms (0.4% of total)ival-neg: 2.0ms (0.4% of total)exact: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 #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))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) |
(/.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 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) |
(cos.f64 (/.f64 x y)) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (/.f64 x y)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
| Outputs |
|---|
(sin (* 1/2 (PI))) |
(+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y))) |
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2)))))) |
(+ (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)))))))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ 1 (sin (* 1/2 (PI)))) |
(+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI))))) |
(+ (* 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))))) |
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -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)))))) (+ (* -1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))))))) (* 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))))) |
(* 1/2 (PI)) |
(+ (* -1/2 (/ x y)) (* 1/2 (PI))) |
(/ (pow x 2) (pow y 2)) |
(pow x 2) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 25/9216 (/ 1 (pow y 6))) (* 1/720 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* (pow x 2) (- (* 1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/40320 (/ (pow x 2) (pow y 8))) (* 1/720 (/ 1 (pow y 6))))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) |
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))) |
(/ -1 (sin (+ (PI) (* 1/2 (PI))))) |
(- (* 1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ (PI) (* 1/2 (PI)))))) |
(- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (sin (+ (PI) (* 1/2 (PI))))))) (* 1/4 (/ (pow (cos (+ (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))))))) (* -1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))))) (/ 1 (sin (+ (PI) (* 1/2 (PI)))))) |
(- (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (cos (+ (PI) (* 1/2 (PI)))) (+ (* 1/4 (/ (pow (cos (+ (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))) (* 1/8 (/ 1 (* (pow y 2) (sin (+ (PI) (* 1/2 (PI))))))))) (* y (sin (+ (PI) (* 1/2 (PI))))))) (+ (* -1/16 (/ (cos (+ (PI) (* 1/2 (PI)))) (* (pow y 3) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (* 1/48 (/ (cos (+ (PI) (* 1/2 (PI)))) (* (pow y 3) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (sin (+ (PI) (* 1/2 (PI))))))) (* 1/4 (/ (pow (cos (+ (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))))))) (* -1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))))) (/ 1 (sin (+ (PI) (* 1/2 (PI)))))) |
(sin (+ (PI) (* 1/2 (PI)))) |
(+ (sin (+ (PI) (* 1/2 (PI)))) (* 1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) y))) |
(+ (sin (+ (PI) (* 1/2 (PI)))) (* x (+ (* -1/8 (/ (* x (sin (+ (PI) (* 1/2 (PI))))) (pow y 2))) (* 1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) y))))) |
(+ (sin (+ (PI) (* 1/2 (PI)))) (* x (+ (* 1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) y)) (* x (+ (* -1/8 (/ (sin (+ (PI) (* 1/2 (PI)))) (pow y 2))) (* -1/48 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (pow y 3)))))))) |
(+ (PI) (* 1/2 (PI))) |
(+ (PI) (+ (* 1/2 (PI)) (* 1/2 (/ x y)))) |
(* -1/2 (/ x (* y (sin (+ (PI) (* 1/2 (PI))))))) |
(* x (- (* 1/4 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (* 1/2 (/ 1 (* y (sin (+ (PI) (* 1/2 (PI))))))))) |
(* x (- (* x (+ (* -1 (* x (- (* 1/16 (/ 1 (* (pow y 3) (sin (+ (PI) (* 1/2 (PI))))))) (+ (* -1/8 (/ (pow (cos (+ (PI) (* 1/2 (PI)))) 2) (* (pow y 3) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))) (* 1/48 (/ 1 (* (pow y 3) (sin (+ (PI) (* 1/2 (PI))))))))))) (* 1/4 (/ (cos (+ (PI) (* 1/2 (PI)))) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))))) (* 1/2 (/ 1 (* y (sin (+ (PI) (* 1/2 (PI))))))))) |
(* x (- (* x (+ (* 1/4 (/ (cos (+ (PI) (* 1/2 (PI)))) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (* x (+ (* -1 (- (* 1/16 (/ 1 (* (pow y 3) (sin (+ (PI) (* 1/2 (PI))))))) (+ (* -1/8 (/ (pow (cos (+ (PI) (* 1/2 (PI)))) 2) (* (pow y 3) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))) (* 1/48 (/ 1 (* (pow y 3) (sin (+ (PI) (* 1/2 (PI)))))))))) (* x (+ (* -1/96 (/ (cos (+ (PI) (* 1/2 (PI)))) (* (pow y 4) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (+ (* 1/32 (/ (cos (+ (PI) (* 1/2 (PI)))) (* (pow y 4) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (* 1/2 (/ (* (cos (+ (PI) (* 1/2 (PI)))) (- (* 1/16 (/ 1 (* (pow y 3) (sin (+ (PI) (* 1/2 (PI))))))) (+ (* -1/8 (/ (pow (cos (+ (PI) (* 1/2 (PI)))) 2) (* (pow y 3) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))) (* 1/48 (/ 1 (* (pow y 3) (sin (+ (PI) (* 1/2 (PI)))))))))) (* y (sin (+ (PI) (* 1/2 (PI)))))))))))))) (* 1/2 (/ 1 (* y (sin (+ (PI) (* 1/2 (PI))))))))) |
(/ x y) |
(* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(sin (- (* 1/2 (PI)) (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y))))) |
(* -1/2 (/ x y)) |
(* x (- (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(cos (* 1/2 (/ x y))) |
(/ (- 1 (cos (/ x y))) (sin (/ x y))) |
(/ (- 1 (cos (/ x y))) (* (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(- 1 (cos (/ x y))) |
(cos (/ x y)) |
(/ -1 (sin (+ (PI) (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))) |
(sin (+ (PI) (+ (* 1/2 (PI)) (* 1/2 (/ x y))))) |
(* x (+ (* 1/2 (/ (PI) x)) (+ (* 1/2 (/ 1 y)) (/ (PI) x)))) |
(* -1 (/ (sin (* 1/2 (/ x y))) (sin (+ (PI) (+ (* 1/2 (PI)) (* 1/2 (/ x y))))))) |
(sin (/ x y)) |
(sin (* 1/2 (/ x y))) |
(sin (+ (* -1/2 (/ x y)) (* 1/2 (PI)))) |
(/ 1 (sin (+ (* -1/2 (/ x y)) (* 1/2 (PI))))) |
(* -1 (* x (+ (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))) |
(/ -1 (sin (- (+ (PI) (* 1/2 (PI))) (* -1/2 (/ x y))))) |
(sin (- (+ (PI) (* 1/2 (PI))) (* -1/2 (/ x y)))) |
(* -1 (* x (- (* -1 (/ (+ (PI) (* 1/2 (PI))) x)) (* 1/2 (/ 1 y))))) |
(* -1 (/ (sin (* 1/2 (/ x y))) (sin (- (+ (PI) (* 1/2 (PI))) (* -1/2 (/ x y)))))) |
(/ (+ (* -1/2 x) (* 1/2 (* y (PI)))) y) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ (+ (* 1/2 x) (* y (+ (PI) (* 1/2 (PI))))) y) |
(+ (sin (* 1/2 (PI))) (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)) (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))))) |
(+ (sin (* 1/2 (PI))) (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)) (+ (* -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 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
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(/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y) |
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y) |
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
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(* -1 (/ (- (+ (* -1/2 x) (* 1/24 (/ (pow x 3) (pow y 2)))) (* 1/12 (/ (pow x 3) (pow y 2)))) y)) |
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(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (+ (* 1/40320 (/ (pow x 7) (pow y 6))) (* 1/24 (/ (pow x 3) (pow y 2)))))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3))))) (* -1/240 (pow x 5))))) (pow y 6))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/120 (/ (* (pow x 4) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2))))))))) y)) |
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(* -1 (/ (+ (* -1/4 (/ (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (* 1/2 (/ x (sin (+ (PI) (* 1/2 (PI))))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* 1/48 (/ (pow x 3) (* y (sin (+ (PI) (* 1/2 (PI))))))) (* 1/4 (/ (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (+ (* 1/16 (/ (pow x 3) (* y (sin (+ (PI) (* 1/2 (PI))))))) (* 1/8 (/ (* (pow x 3) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))))) y)) (* 1/2 (/ x (sin (+ (PI) (* 1/2 (PI))))))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/48 (/ (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (+ (* 1/16 (/ (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/8 (/ (* (pow x 3) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))))) (* -1 (/ (+ (* -1/2 (/ (* x (* (cos (+ (PI) (* 1/2 (PI)))) (- (* 1/48 (/ (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (+ (* 1/16 (/ (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/8 (/ (* (pow x 3) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))))))) (sin (+ (PI) (* 1/2 (PI)))))) (+ (* -1/96 (/ (* (pow x 4) (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2))) (* 1/32 (/ (* (pow x 4) (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2))))) y))) y)) (* 1/4 (/ (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) y)) (* 1/2 (/ x (sin (+ (PI) (* 1/2 (PI))))))) y)) |
(* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | x | @ | 0 | ((sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) (+ (* (/ x y) -1/2) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* 1/8 (/ (* x x) (* y y))) 1) (/ (* x x) (* y y)) (* x x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (- 1 (cos (/ x y))) (cos (/ x y)) (/ (/ (neg (sin (/ x (* 2 y)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2))) (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)) (/ (neg (sin (/ x (* 2 y)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)))) (sin (/ x y)) (sin (/ x (* y 2))) (sin (/ x (* 2 y)))) |
| 18.0ms | y | @ | inf | ((sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) (+ (* (/ x y) -1/2) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* 1/8 (/ (* x x) (* y y))) 1) (/ (* x x) (* y y)) (* x x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (- 1 (cos (/ x y))) (cos (/ x y)) (/ (/ (neg (sin (/ x (* 2 y)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2))) (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)) (/ (neg (sin (/ x (* 2 y)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)))) (sin (/ x y)) (sin (/ x (* y 2))) (sin (/ x (* 2 y)))) |
| 8.0ms | y | @ | -inf | ((sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) (+ (* (/ x y) -1/2) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* 1/8 (/ (* x x) (* y y))) 1) (/ (* x x) (* y y)) (* x x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (- 1 (cos (/ x y))) (cos (/ x y)) (/ (/ (neg (sin (/ x (* 2 y)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2))) (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)) (/ (neg (sin (/ x (* 2 y)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)))) (sin (/ x y)) (sin (/ x (* y 2))) (sin (/ x (* 2 y)))) |
| 6.0ms | x | @ | inf | ((sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) (+ (* (/ x y) -1/2) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* 1/8 (/ (* x x) (* y y))) 1) (/ (* x x) (* y y)) (* x x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (- 1 (cos (/ x y))) (cos (/ x y)) (/ (/ (neg (sin (/ x (* 2 y)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2))) (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)) (/ (neg (sin (/ x (* 2 y)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)))) (sin (/ x y)) (sin (/ x (* y 2))) (sin (/ x (* 2 y)))) |
| 6.0ms | x | @ | -inf | ((sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ x y) -1/2) (/ (PI) 2)))) (+ (* (/ x y) -1/2) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* 1/8 (/ (* x x) (* y y))) 1) (/ (* x x) (* y y)) (* x x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (- 1 (cos (/ x y))) (sin (/ x y))) (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (- 1 (cos (/ x y))) (cos (/ x y)) (/ (/ (neg (sin (/ x (* 2 y)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2))) (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)) (/ (neg (sin (/ x (* 2 y)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)))) (sin (/ x y)) (sin (/ x (* y 2))) (sin (/ x (* 2 y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1070 | 5478 |
| 1 | 3602 | 5391 |
| 0 | 8653 | 5146 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sin (* 1/2 (PI))) |
(+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y))) |
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2)))))) |
(+ (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)))))))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ 1 (sin (* 1/2 (PI)))) |
(+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI))))) |
(+ (* 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))))) |
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -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)))))) (+ (* -1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))))))) (* 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))))) |
(* 1/2 (PI)) |
(+ (* -1/2 (/ x y)) (* 1/2 (PI))) |
(/ (pow x 2) (pow y 2)) |
(pow x 2) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 5/384 (/ 1 (pow y 4))) (* (pow x 2) (- (* 25/9216 (/ 1 (pow y 6))) (* 1/720 (/ 1 (pow y 6))))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* -1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* (pow x 2) (- (* 1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/40320 (/ (pow x 2) (pow y 8))) (* 1/720 (/ 1 (pow y 6))))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2))))) |
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (pow y 6))) (* 1/24 (/ 1 (pow y 4))))) (* 1/2 (/ 1 (pow y 2)))))) |
(/ -1 (sin (+ (PI) (* 1/2 (PI))))) |
(- (* 1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ (PI) (* 1/2 (PI)))))) |
(- (* x (- (* -1 (* x (+ (* 1/8 (/ 1 (* (pow y 2) (sin (+ (PI) (* 1/2 (PI))))))) (* 1/4 (/ (pow (cos (+ (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))))))) (* -1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))))) (/ 1 (sin (+ (PI) (* 1/2 (PI)))))) |
(- (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (cos (+ (PI) (* 1/2 (PI)))) (+ (* 1/4 (/ (pow (cos (+ (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))) (* 1/8 (/ 1 (* (pow y 2) (sin (+ (PI) (* 1/2 (PI))))))))) (* y (sin (+ (PI) (* 1/2 (PI))))))) (+ (* -1/16 (/ (cos (+ (PI) (* 1/2 (PI)))) (* (pow y 3) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (* 1/48 (/ (cos (+ (PI) (* 1/2 (PI)))) (* (pow y 3) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (sin (+ (PI) (* 1/2 (PI))))))) (* 1/4 (/ (pow (cos (+ (PI) (* 1/2 (PI)))) 2) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))))))) (* -1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))))) (/ 1 (sin (+ (PI) (* 1/2 (PI)))))) |
(sin (+ (PI) (* 1/2 (PI)))) |
(+ (sin (+ (PI) (* 1/2 (PI)))) (* 1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) y))) |
(+ (sin (+ (PI) (* 1/2 (PI)))) (* x (+ (* -1/8 (/ (* x (sin (+ (PI) (* 1/2 (PI))))) (pow y 2))) (* 1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) y))))) |
(+ (sin (+ (PI) (* 1/2 (PI)))) (* x (+ (* 1/2 (/ (cos (+ (PI) (* 1/2 (PI)))) y)) (* x (+ (* -1/8 (/ (sin (+ (PI) (* 1/2 (PI)))) (pow y 2))) (* -1/48 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (pow y 3)))))))) |
(+ (PI) (* 1/2 (PI))) |
(+ (PI) (+ (* 1/2 (PI)) (* 1/2 (/ x y)))) |
(* -1/2 (/ x (* y (sin (+ (PI) (* 1/2 (PI))))))) |
(* x (- (* 1/4 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (* 1/2 (/ 1 (* y (sin (+ (PI) (* 1/2 (PI))))))))) |
(* x (- (* x (+ (* -1 (* x (- (* 1/16 (/ 1 (* (pow y 3) (sin (+ (PI) (* 1/2 (PI))))))) (+ (* -1/8 (/ (pow (cos (+ (PI) (* 1/2 (PI)))) 2) (* (pow y 3) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))) (* 1/48 (/ 1 (* (pow y 3) (sin (+ (PI) (* 1/2 (PI))))))))))) (* 1/4 (/ (cos (+ (PI) (* 1/2 (PI)))) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))))) (* 1/2 (/ 1 (* y (sin (+ (PI) (* 1/2 (PI))))))))) |
(* x (- (* x (+ (* 1/4 (/ (cos (+ (PI) (* 1/2 (PI)))) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (* x (+ (* -1 (- (* 1/16 (/ 1 (* (pow y 3) (sin (+ (PI) (* 1/2 (PI))))))) (+ (* -1/8 (/ (pow (cos (+ (PI) (* 1/2 (PI)))) 2) (* (pow y 3) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))) (* 1/48 (/ 1 (* (pow y 3) (sin (+ (PI) (* 1/2 (PI)))))))))) (* x (+ (* -1/96 (/ (cos (+ (PI) (* 1/2 (PI)))) (* (pow y 4) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (+ (* 1/32 (/ (cos (+ (PI) (* 1/2 (PI)))) (* (pow y 4) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (* 1/2 (/ (* (cos (+ (PI) (* 1/2 (PI)))) (- (* 1/16 (/ 1 (* (pow y 3) (sin (+ (PI) (* 1/2 (PI))))))) (+ (* -1/8 (/ (pow (cos (+ (PI) (* 1/2 (PI)))) 2) (* (pow y 3) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))) (* 1/48 (/ 1 (* (pow y 3) (sin (+ (PI) (* 1/2 (PI)))))))))) (* y (sin (+ (PI) (* 1/2 (PI)))))))))))))) (* 1/2 (/ 1 (* y (sin (+ (PI) (* 1/2 (PI))))))))) |
(/ x y) |
(* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(sin (- (* 1/2 (PI)) (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y))))) |
(* -1/2 (/ x y)) |
(* x (- (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(cos (* 1/2 (/ x y))) |
(/ (- 1 (cos (/ x y))) (sin (/ x y))) |
(/ (- 1 (cos (/ x y))) (* (sin (* 1/2 (/ x y))) (sin (/ x y)))) |
(- 1 (cos (/ x y))) |
(cos (/ x y)) |
(/ -1 (sin (+ (PI) (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))) |
(sin (+ (PI) (+ (* 1/2 (PI)) (* 1/2 (/ x y))))) |
(* x (+ (* 1/2 (/ (PI) x)) (+ (* 1/2 (/ 1 y)) (/ (PI) x)))) |
(* -1 (/ (sin (* 1/2 (/ x y))) (sin (+ (PI) (+ (* 1/2 (PI)) (* 1/2 (/ x y))))))) |
(sin (/ x y)) |
(sin (* 1/2 (/ x y))) |
(sin (+ (* -1/2 (/ x y)) (* 1/2 (PI)))) |
(/ 1 (sin (+ (* -1/2 (/ x y)) (* 1/2 (PI))))) |
(* -1 (* x (+ (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))) |
(/ -1 (sin (- (+ (PI) (* 1/2 (PI))) (* -1/2 (/ x y))))) |
(sin (- (+ (PI) (* 1/2 (PI))) (* -1/2 (/ x y)))) |
(* -1 (* x (- (* -1 (/ (+ (PI) (* 1/2 (PI))) x)) (* 1/2 (/ 1 y))))) |
(* -1 (/ (sin (* 1/2 (/ x y))) (sin (- (+ (PI) (* 1/2 (PI))) (* -1/2 (/ x y)))))) |
(/ (+ (* -1/2 x) (* 1/2 (* y (PI)))) y) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ (+ (* 1/2 x) (* y (+ (PI) (* 1/2 (PI))))) y) |
(+ (sin (* 1/2 (PI))) (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)) (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))))) |
(+ (sin (* 1/2 (PI))) (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)) (+ (* -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 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (* (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))))) |
(- (+ (* -1 (/ (+ (* -1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2))) (+ (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (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)))))))) (sin (* 1/2 (PI))))))) (pow y 3))) (/ 1 (sin (* 1/2 (PI))))) (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (+ (* -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 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/12 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* 1/720 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 4))) (+ (* -1/12 (/ (pow x 3) (pow y 2))) (* 1/240 (/ (pow x 5) (pow y 4)))))) y) |
(/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (+ (* -1/40320 (/ (pow x 7) (pow y 6))) (+ (* 1/720 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 4))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3))))) (* 1/240 (pow x 5))))) (pow y 6))) (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* -1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/120 (/ (* (pow x 4) (- (* -1/24 (pow x 3)) (* -1/12 (pow x 3)))) (pow y 6))))))))) y) |
(- (+ 1 (* -1/12 (/ (pow x 2) (pow y 2)))) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (* (pow x 2) (pow y 2))))) |
(- (+ 1 (+ (* -1/12 (/ (pow x 2) (pow y 2))) (* 1/360 (/ (pow x 4) (pow y 4))))) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 4)))) (+ (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (* (pow x 2) (pow y 2)))) (* 2 (/ (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (* (pow x 2) (pow y 4))))))) |
(- (+ 1 (+ (* -1/12 (/ (pow x 2) (pow y 2))) (+ (* -1/20160 (/ (pow x 6) (pow y 6))) (* 1/360 (/ (pow x 4) (pow y 4)))))) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 4)))) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* 1/360 (pow x 4)) (+ (* 2 (/ (* (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (pow x 2))) (* 2 (/ (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (pow x 2)))))) (* (pow x 2) (pow y 6)))) (+ (* 2 (/ (* (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (- (* -1/12 (pow x 2)) (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 6)))) (+ (* 2 (/ (+ (* -1/12 (pow x 4)) (* -1/48 (pow x 4))) (* (pow x 2) (pow y 2)))) (+ (* 2 (/ (+ (* -1/5760 (pow x 8)) (+ (* -1/10080 (pow x 8)) (+ (* -1/23040 (pow x 8)) (* -1/645120 (pow x 8))))) (* (pow x 2) (pow y 6)))) (* 2 (/ (+ (* 1/3840 (pow x 6)) (+ (* 1/288 (pow x 6)) (* 1/240 (pow x 6)))) (* (pow x 2) (pow y 4)))))))))) |
(/ (- (* -1/24 (/ (pow x 4) (pow y 2))) (* -1/2 (pow x 2))) (pow y 2)) |
(/ (- (* 1/720 (/ (pow x 6) (pow y 4))) (+ (* -1/2 (pow x 2)) (* 1/24 (/ (pow x 4) (pow y 2))))) (pow y 2)) |
(/ (- (* -1/40320 (/ (pow x 8) (pow y 6))) (+ (* -1/2 (pow x 2)) (+ (* -1/720 (/ (pow x 6) (pow y 4))) (* 1/24 (/ (pow x 4) (pow y 2)))))) (pow y 2)) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (* 1/24 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (pow y 2))) (+ (* -1/720 (/ (pow x 6) (pow y 6))) (* 1/24 (/ (pow x 4) (pow y 4)))))) |
(- (* -1 (/ (+ (* 1/8 (/ (pow x 2) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/4 (/ (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))) (pow y 2))) (+ (* -1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (/ 1 (sin (+ (PI) (* 1/2 (PI))))))) |
(- (* -1 (/ (+ (* -1/2 (/ (* x (* (cos (+ (PI) (* 1/2 (PI)))) (+ (* 1/8 (/ (pow x 2) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/4 (/ (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))))) (sin (+ (PI) (* 1/2 (PI)))))) (+ (* -1/16 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2))) (* 1/48 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2))))) (pow y 3))) (+ (* -1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (+ (* 1/8 (/ (pow x 2) (* (pow y 2) (sin (+ (PI) (* 1/2 (PI))))))) (+ (* 1/4 (/ (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (* (pow y 2) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))) (/ 1 (sin (+ (PI) (* 1/2 (PI))))))))) |
(+ (sin (+ (PI) (* 1/2 (PI)))) (+ (* -1/8 (/ (* (pow x 2) (sin (+ (PI) (* 1/2 (PI))))) (pow y 2))) (* 1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) y)))) |
(+ (sin (+ (PI) (* 1/2 (PI)))) (+ (* -1/8 (/ (* (pow x 2) (sin (+ (PI) (* 1/2 (PI))))) (pow y 2))) (+ (* -1/48 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) (pow y 3))) (* 1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) y))))) |
(/ (+ (* -1/2 (/ x (sin (+ (PI) (* 1/2 (PI)))))) (* 1/4 (/ (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2))))) y) |
(/ (+ (* -1 (/ (- (* -1/48 (/ (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (+ (* -1/8 (/ (* (pow x 3) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))) (* -1/16 (/ (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))))) (pow y 2))) (+ (* -1/2 (/ x (sin (+ (PI) (* 1/2 (PI)))))) (* 1/4 (/ (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))))) y) |
(/ (+ (* -1 (/ (- (* -1/48 (/ (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (+ (* -1/8 (/ (* (pow x 3) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))) (* -1/16 (/ (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))))) (pow y 2))) (+ (* -1/2 (/ x (sin (+ (PI) (* 1/2 (PI)))))) (+ (* -1/96 (/ (* (pow x 4) (cos (+ (PI) (* 1/2 (PI))))) (* (pow y 3) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (+ (* 1/32 (/ (* (pow x 4) (cos (+ (PI) (* 1/2 (PI))))) (* (pow y 3) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (+ (* 1/4 (/ (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (* 1/2 (/ (* x (* (cos (+ (PI) (* 1/2 (PI)))) (- (* -1/48 (/ (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (+ (* -1/8 (/ (* (pow x 3) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))) (* -1/16 (/ (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))))))) (* (pow y 3) (sin (+ (PI) (* 1/2 (PI)))))))))))) y) |
(/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y) |
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y) |
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y))) |
(+ (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))) |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(+ (* -1 (/ (- (+ (* -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))))) |
(+ (* -1 (/ (- (* -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)))))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (* 1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (+ (* -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))))) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/24 (/ (pow x 3) (pow y 2)))) (* 1/12 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (* 1/24 (/ (pow x 3) (pow y 2))))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/720 (/ (pow x 5) (pow y 4))) (+ (* 1/40320 (/ (pow x 7) (pow y 6))) (* 1/24 (/ (pow x 3) (pow y 2)))))) (+ (* -1/6 (/ (* (pow x 2) (- (* -1/720 (pow x 5)) (+ (* -1/6 (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3))))) (* -1/240 (pow x 5))))) (pow y 6))) (+ (* -1/6 (/ (* (pow x 2) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 4))) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/120 (/ (* (pow x 4) (- (* 1/24 (pow x 3)) (* 1/12 (pow x 3)))) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2))))))))) y)) |
(- (* -1 (/ (- (+ (* 1/8 (/ (pow x 2) (* y (sin (+ (PI) (* 1/2 (PI))))))) (* 1/4 (/ (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 3))))) (* 1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) y)) (/ 1 (sin (+ (PI) (* 1/2 (PI)))))) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1/48 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (+ (* 1/16 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (* 1/2 (/ (* x (* (cos (+ (PI) (* 1/2 (PI)))) (+ (* 1/8 (/ (pow x 2) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/4 (/ (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))))) (* y (sin (+ (PI) (* 1/2 (PI))))))))) (+ (* 1/8 (/ (pow x 2) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/4 (/ (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))))) y)) (* 1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) y)) (/ 1 (sin (+ (PI) (* 1/2 (PI)))))) |
(+ (sin (+ (PI) (* 1/2 (PI)))) (* -1 (/ (+ (* -1/2 (* x (cos (+ (PI) (* 1/2 (PI)))))) (* 1/8 (/ (* (pow x 2) (sin (+ (PI) (* 1/2 (PI))))) y))) y))) |
(+ (sin (+ (PI) (* 1/2 (PI)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (+ (PI) (* 1/2 (PI)))))) (* -1/48 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) y))) y)) (* -1/2 (* x (cos (+ (PI) (* 1/2 (PI))))))) y))) |
(* -1 (/ (+ (* -1/4 (/ (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (* 1/2 (/ x (sin (+ (PI) (* 1/2 (PI))))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* 1/48 (/ (pow x 3) (* y (sin (+ (PI) (* 1/2 (PI))))))) (* 1/4 (/ (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (+ (* 1/16 (/ (pow x 3) (* y (sin (+ (PI) (* 1/2 (PI))))))) (* 1/8 (/ (* (pow x 3) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))))) y)) (* 1/2 (/ x (sin (+ (PI) (* 1/2 (PI))))))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/48 (/ (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (+ (* 1/16 (/ (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/8 (/ (* (pow x 3) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))))) (* -1 (/ (+ (* -1/2 (/ (* x (* (cos (+ (PI) (* 1/2 (PI)))) (- (* 1/48 (/ (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (+ (* 1/16 (/ (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/8 (/ (* (pow x 3) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))))))) (sin (+ (PI) (* 1/2 (PI)))))) (+ (* -1/96 (/ (* (pow x 4) (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2))) (* 1/32 (/ (* (pow x 4) (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2))))) y))) y)) (* 1/4 (/ (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) y)) (* 1/2 (/ x (sin (+ (PI) (* 1/2 (PI))))))) y)) |
(* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
| Outputs |
|---|
(sin (* 1/2 (PI))) |
(sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y))) |
(fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) y)) #s(literal -1/2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 x (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 y y))) #s(literal -1/8 binary64) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) y) #s(literal -1/2 binary64))) x (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 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)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y) (*.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/48 binary64))) x (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) y) #s(literal -1/2 binary64))) x (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/384 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 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)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(/ 1 (sin (* 1/2 (PI)))) |
(/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI))))) |
(fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 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))))) |
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(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/720 binary64) (fma.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal 1/40320 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/720 binary64)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/6 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 #s(literal 1/120 binary64) (*.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))) (*.f64 (/.f64 #s(literal -1/12 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))))) (neg.f64 y)) |
(- (* -1 (/ (- (+ (* 1/8 (/ (pow x 2) (* y (sin (+ (PI) (* 1/2 (PI))))))) (* 1/4 (/ (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 3))))) (* 1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) y)) (/ 1 (sin (+ (PI) (* 1/2 (PI)))))) |
(-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 2 binary64))))))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))))) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1/48 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (+ (* 1/16 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (* 1/2 (/ (* x (* (cos (+ (PI) (* 1/2 (PI)))) (+ (* 1/8 (/ (pow x 2) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/4 (/ (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))))) (* y (sin (+ (PI) (* 1/2 (PI))))))))) (+ (* 1/8 (/ (pow x 2) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/4 (/ (* (pow x 2) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))))) y)) (* 1/2 (/ (* x (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) y)) (/ 1 (sin (+ (PI) (* 1/2 (PI)))))) |
(-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64)))))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 2 binary64)) y)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) x) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)))) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))))) y)))) (fma.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)))))) y) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 2 binary64)))))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))))) |
(+ (sin (+ (PI) (* 1/2 (PI)))) (* -1 (/ (+ (* -1/2 (* x (cos (+ (PI) (* 1/2 (PI)))))) (* 1/8 (/ (* (pow x 2) (sin (+ (PI) (* 1/2 (PI))))) y))) y))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))) (*.f64 x x)) y) #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))))) y) #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)))) |
(+ (sin (+ (PI) (* 1/2 (PI)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (+ (PI) (* 1/2 (PI)))))) (* -1/48 (/ (* (pow x 3) (cos (+ (PI) (* 1/2 (PI))))) y))) y)) (* -1/2 (* x (cos (+ (PI) (* 1/2 (PI))))))) y))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) x) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64)))) y) #s(literal -1/48 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))))) (neg.f64 y))) y) #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)))) |
(* -1 (/ (+ (* -1/4 (/ (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (* 1/2 (/ x (sin (+ (PI) (* 1/2 (PI))))))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) (*.f64 x x)) (pow.f64 (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))))) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* 1/48 (/ (pow x 3) (* y (sin (+ (PI) (* 1/2 (PI))))))) (* 1/4 (/ (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) (+ (* 1/16 (/ (pow x 3) (* y (sin (+ (PI) (* 1/2 (PI))))))) (* 1/8 (/ (* (pow x 3) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (* y (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))))) y)) (* 1/2 (/ x (sin (+ (PI) (* 1/2 (PI))))))) y)) |
(/.f64 (fma.f64 (/.f64 x (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) (*.f64 x x)) (pow.f64 (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)))))))) (neg.f64 y))) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/48 (/ (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (+ (* 1/16 (/ (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/8 (/ (* (pow x 3) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (pow (sin (+ (PI) (* 1/2 (PI)))) 3)))))) (* -1 (/ (+ (* -1/2 (/ (* x (* (cos (+ (PI) (* 1/2 (PI)))) (- (* 1/48 (/ (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (+ (* 1/16 (/ (pow x 3) (sin (+ (PI) (* 1/2 (PI)))))) (* 1/8 (/ (* (pow x 3) (pow (cos (+ (PI) (* 1/2 (PI)))) 2)) (pow (sin (+ (PI) (* 1/2 (PI)))) 3))))))) (sin (+ (PI) (* 1/2 (PI)))))) (+ (* -1/96 (/ (* (pow x 4) (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2))) (* 1/32 (/ (* (pow x 4) (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2))))) y))) y)) (* 1/4 (/ (* (pow x 2) (cos (+ (PI) (* 1/2 (PI))))) (pow (sin (+ (PI) (* 1/2 (PI)))) 2)))) y)) (* 1/2 (/ x (sin (+ (PI) (* 1/2 (PI))))))) y)) |
(/.f64 (fma.f64 (/.f64 x (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) (*.f64 x x)) (pow.f64 (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1/4 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) x) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 1/48 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/16 binary64)) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 3 binary64))) #s(literal 1/8 binary64)))) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64)))) (pow.f64 (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1/48 binary64))) y) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)))) #s(literal 1/48 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/16 binary64)) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 3 binary64))) #s(literal 1/8 binary64))))) (neg.f64 y))) (neg.f64 y))) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (+.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (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 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal 1/645120 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 263 |
| 0 | 82 | 212 |
| 1 | 278 | 203 |
| 0 | 1930 | 203 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 #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))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 x x) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) |
(/.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 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) |
(cos.f64 (/.f64 x y)) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (/.f64 x y)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) (-.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
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(neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(fma.f64 (sin.f64 (PI.f64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 (cos.f64 (PI.f64)) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(fma.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64) (*.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(sin.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (PI.f64))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (PI.f64))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (PI.f64)))) |
(-.f64 (*.f64 (cos.f64 (PI.f64)) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (*.f64 (sin.f64 (PI.f64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (*.f64 (neg.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) |
(cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) |
(+.f64 (*.f64 (sin.f64 (PI.f64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (*.f64 (cos.f64 (PI.f64)) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(+.f64 (*.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (*.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) |
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))) (-.f64 (PI.f64) (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 (PI.f64)))) (*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -2 binary64))) |
(/.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (PI.f64))) (*.f64 (-.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal -2 binary64) (*.f64 (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (neg.f64 (PI.f64)))) (*.f64 (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal -2 binary64))) |
(/.f64 (fma.f64 (+.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (PI.f64))) (*.f64 (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (PI.f64)) (-.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) (-.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (neg.f64 (PI.f64)) (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal -2 binary64) (+.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) |
(/.f64 (fma.f64 (PI.f64) (-.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (-.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (PI.f64) (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)))) |
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (pow.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (PI.f64)) |
(+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) |
(+.f64 (PI.f64) (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64))) (*.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))))) (+.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (fma.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) (*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))))) (neg.f64 (neg.f64 (sin.f64 (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64)))) |
(/.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 (+.f64 (tan.f64 (PI.f64)) (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (PI.f64)) (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 x y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64))) (*.f64 (fma.f64 (cos.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 (/.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (neg.f64 (sin.f64 (/.f64 x y)))) |
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))))) |
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x 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)))) |
(/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) |
(neg.f64 (tan.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 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) |
(sin.f64 (/.f64 x y)) |
(neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(sin.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) |
(sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64))) |
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (PI.f64))) |
(neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(sin.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) |
(sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64))) |
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (PI.f64))) |
Compiled 15 656 to 2 155 computations (86.2% saved)
55 alts after pruning (50 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 343 | 30 | 373 |
| Fresh | 4 | 20 | 24 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 350 | 55 | 405 |
| Status | Accuracy | Program |
|---|---|---|
| 7.0% | (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64))) (*.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))))) (+.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 6.5% | (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 7.0% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 7.0% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 7.2% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)))) | |
| 7.5% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))) | |
| 7.2% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))))) | |
| 6.7% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| 6.6% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (cos.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (PI.f64)))) | |
| 7.7% | (/.f64 (/.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))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 7.7% | (/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))))) | |
| 43.3% | (/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 #s(approx (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64)) x) (/.f64 #s(literal 1/2 binary64) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 7.2% | (/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 7.6% | (/.f64 (-.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 7.1% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 x y))))) | |
| 7.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 x y)))) | |
| 4.8% | (/.f64 (tan.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.3% | (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 7.6% | (/.f64 (tan.f64 #s(approx (+ (PI) (/ x (* 2 y))) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.3% | (/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (*.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 7.7% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) #s(literal 2 binary64))) | |
| 43.3% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) #s(literal 2 binary64))) | |
| 42.7% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 43.4% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 23.7% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (cos.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 43.0% | (/.f64 #s(approx (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.1% | (/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 32.8% | (/.f64 #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 (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y))) | |
| 36.6% | (/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y))) | |
| 7.0% | (-.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))) | |
| 7.5% | (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 x y)))) (/.f64 (cos.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 x y))))) | |
| 7.6% | #s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x y)))) | |
| 53.1% | #s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (fma.f64 #s(literal 3/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) | |
| 49.1% | #s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 2 binary64))) (*.f64 x (/.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) y))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)))))) | |
| 52.7% | #s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| 48.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/8 binary64)) #s(literal 1 binary64))) | |
| ✓ | 44.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
| 52.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| 53.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| 50.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))))) | |
| 4.6% | #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 (/.f64 x y) #s(literal -1/2 binary64)))))) | |
| 53.1% | #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 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))))) | |
| ✓ | 53.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
| ✓ | 53.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
| 49.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) y)) #s(literal -1/2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) | |
| 47.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))) | |
| 52.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))) | |
| 51.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))) | |
| 25.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* 1/8 (/ (* x x) (* y y))) 1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)))) | |
| ✓ | 53.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| 29.2% | #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (fma.f64 y (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 y x) #s(literal 0 binary64)))) | |
| 45.1% | #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 #s(approx (+ (* (/ 1/2 y) y) 0) #s(literal 1/2 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x)) | |
| 40.0% | #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) y)) (*.f64 #s(literal 0 binary64) y))) x)) | |
| 43.0% | #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))))) | |
| ✓ | 3.1% | #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64)) |
Compiled 4 172 to 1 565 computations (62.5% saved)
| Inputs |
|---|
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 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 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(approx (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* 1/8 (/ (* x x) (* y y))) 1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) y)) (*.f64 #s(literal 0 binary64) y))) x)) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (fma.f64 y (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 y x) #s(literal 0 binary64)))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
#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 (/.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 #s(literal 1/2 binary64) y) x (PI.f64))))) |
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))))) |
#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 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))))) |
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (fma.f64 #s(literal 3/2 binary64) (PI.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) (sin.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (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))) #s(approx (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (*.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 (/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) (/.f64 x y)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (fma.f64 #s(literal 1/24 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 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))) |
(/.f64 #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 (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/24 binary64))) (neg.f64 y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))) |
(/.f64 (tan.f64 #s(approx (+ (PI) (/ x (* 2 y))) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 #s(approx (+ (* (/ 1/2 y) y) 0) #s(literal 1/2 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x)) |
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) y)) #s(literal -1/2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x)) |
(/.f64 (tan.f64 #s(approx (+ (PI) (/ x (* 2 y))) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))) |
(/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (*.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 x y)))) |
(/.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 (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))))) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (tan (+ (PI) (/ x (* 2 y)))) (/.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))) (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 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) 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))) (cos.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (PI.f64)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.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))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 #s(approx (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64)) x) (/.f64 #s(literal 1/2 binary64) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (+.f64 (sin.f64 (-.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) #s(literal 2 binary64))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (/.f64 (-.f64 (cos.f64 (-.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) #s(literal 2 binary64))) |
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64))) #s(literal 2 binary64))) (*.f64 x (/.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) y))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 3/2 binary64) (PI.f64)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.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))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64))) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 x y))))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (cos.f64 (/.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (tan.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) (PI.f64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 x y)))) (/.f64 (cos.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 x y))))) |
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (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 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (-.f64 (*.f64 (cos.f64 (PI.f64)) (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (sin.f64 (PI.f64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64))) (*.f64 (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))))) (+.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #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(literal 1 binary64)) |
5 calls:
| 55.0ms | y |
| 48.0ms | (*.f64 y #s(literal 2 binary64)) |
| 40.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 24.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 21.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.8% | 2 | (*.f64 y #s(literal 2 binary64)) |
| 55.2% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 55.5% | 2 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 54.8% | 2 | x |
| 54.8% | 2 | y |
Compiled 23 to 21 computations (8.7% saved)
| Inputs |
|---|
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 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 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(approx (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* 1/8 (/ (* x x) (* y y))) 1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) y)) (*.f64 #s(literal 0 binary64) y))) x)) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (fma.f64 y (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 y x) #s(literal 0 binary64)))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
#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 (/.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 #s(literal 1/2 binary64) y) x (PI.f64))))) |
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))))) |
#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 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))))) |
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (fma.f64 #s(literal 3/2 binary64) (PI.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) (sin.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (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))) #s(approx (* (/ (+ (* (/ (* x x) y) (/ -1/48 y)) 1/2) y) x) (*.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 (/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) (/.f64 x y)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) y) x) (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (fma.f64 #s(literal 1/24 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 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))) |
(/.f64 #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 (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/24 binary64))) (neg.f64 y))) #s(approx (sin (/ x (* y 2))) (*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/48 binary64) y) #s(literal 1/2 binary64)) y) x))) |
(/.f64 (tan.f64 #s(approx (+ (PI) (/ x (* 2 y))) (PI.f64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 #s(approx (+ (* (/ 1/2 y) y) 0) #s(literal 1/2 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x)) |
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (sin (+ (* (/ x y) -1/2) (/ (PI) 2))) (fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) y)) #s(literal -1/2 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (+.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) y #s(literal 0 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) y))) x #s(literal 0 binary64)) x (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y #s(literal 0 binary64)) #s(literal 2 binary64))) x #s(literal 0 binary64)) x)) |
(/.f64 (tan.f64 #s(approx (+ (PI) (/ x (* 2 y))) (*.f64 (+.f64 (/.f64 (PI.f64) x) (/.f64 #s(literal 1/2 binary64) y)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))) |
(/.f64 (sin.f64 (/.f64 x (+.f64 y y))) (*.f64 (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
#s(approx (/ (/ (- 1 (cos (/ x y))) (sin (/ x y))) (sin (/ x (* y 2)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 x y)))) |
(/.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 (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))))) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64)))))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (tan (+ (PI) (/ x (* 2 y)))) (/.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64))))) (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 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) 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))) (cos.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (PI.f64)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) (sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (sin.f64 (/.f64 x y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.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))) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (+.f64 (PI.f64) (/.f64 x (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 #s(approx (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64)) x) (/.f64 #s(literal 1/2 binary64) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (fma.f64 #s(literal 3/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
1 calls:
| 14.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.5% | 2 | (/.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 |
|---|
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 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 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(approx (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* 1/8 (/ (* x x) (* y y))) 1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) y)) (*.f64 #s(literal 0 binary64) y))) x)) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (fma.f64 y (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 y x) #s(literal 0 binary64)))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
#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 (/.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 #s(literal 1/2 binary64) y) x (PI.f64))))) |
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))))) |
#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 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))))) |
| 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 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
1 calls:
| 5.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.5% | 2 | (/.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 |
|---|
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 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 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(approx (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* 1/8 (/ (* x x) (* y y))) 1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) y)) (*.f64 #s(literal 0 binary64) y))) x)) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (fma.f64 y (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 y x) #s(literal 0 binary64)))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
#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 (/.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 #s(literal 1/2 binary64) y) x (PI.f64))))) |
#s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (cos (+ (PI) (/ x (* 2 y))))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (PI.f64))))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
1 calls:
| 5.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.4% | 2 | (/.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 |
|---|
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 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 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(approx (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* 1/8 (/ (* x x) (* y y))) 1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) y)) (*.f64 #s(literal 0 binary64) y))) x)) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (fma.f64 y (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 y x) #s(literal 0 binary64)))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
#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 (/.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 #s(literal -1/2 binary64) (/.f64 x y))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
1 calls:
| 7.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.4% | 2 | (/.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 |
|---|
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 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 #s(literal 1/8 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(approx (/ (+ (* (+ (* (+ (* (+ (* (+ (* (+ (* (/ -1/8 y) (/ (- (/ 1/2 y) 0) y)) (/ 1/48 (pow y 3))) y) 0) -2) (* 1/12 (/ (- (/ 1/2 y) 0) y))) x) 0) x) (* (+ (* (/ 1/2 y) y) 0) 2)) x) 0) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* 1/8 (/ (* x x) (* y y))) 1) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) (*.f64 y y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (*.f64 (/.f64 x y) x) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))))) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 y x) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 0 binary64) y)) (*.f64 #s(literal 0 binary64) y))) x)) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (fma.f64 y (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))) (*.f64 y x)) #s(literal 2 binary64)) (*.f64 (/.f64 y x) #s(literal 0 binary64)))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(approx (sin (/ x (* y 2))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) x) y))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
5 calls:
| 4.0ms | (*.f64 y #s(literal 2 binary64)) |
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | (/.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 |
|---|---|---|
| 53.2% | 1 | x |
| 53.2% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 53.2% | 1 | y |
| 53.2% | 1 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 53.2% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
Compiled 23 to 21 computations (8.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64)) |
| Outputs |
|---|
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64)) |
5 calls:
| 4.0ms | x |
| 1.0ms | (*.f64 y #s(literal 2 binary64)) |
| 1.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 1.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.1% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 3.1% | 1 | x |
| 3.1% | 1 | y |
| 3.1% | 1 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 3.1% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
Compiled 23 to 21 computations (8.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.7377595545764435 | 2.773748133374172 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.7377595545764435 | 2.773748133374172 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.7377595545764435 | 2.773748133374172 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.448083127776267 | 2.5085448522487486 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9885726087966928 | 2.018856570122563 |
Compiled 16 to 13 computations (18.8% saved)
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 326 |
| 1 | 127 | 325 |
| 2 | 206 | 323 |
| 3 | 371 | 311 |
| 4 | 1018 | 311 |
| 5 | 6338 | 311 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 11/4 binary64)) (/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #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(literal 1 binary64))) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 11/4 binary64)) #s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (fma.f64 #s(literal 3/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 11/4 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 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 5/2 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) #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)) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 11/4 binary64)) (/.f64 (/.f64 (neg.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #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(literal 1 binary64))) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 11/4 binary64)) (/.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (neg.f64 (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))))) #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 11/4 binary64)) #s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (fma.f64 #s(literal 3/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 11/4 binary64)) #s(approx (/ (/ (neg (sin (/ x (* 2 y)))) (sin (+ (+ (PI) (/ (/ x y) 2)) (/ (PI) 2)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (fma.f64 #s(literal 3/2 binary64) (PI.f64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 11/4 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 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 11/4 binary64)) #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ x y) -1/2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (-.f64 (PI.f64) (/.f64 x y))))))) #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 5/2 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 5/2 binary64)) #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))) #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) #s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (+ (PI) (/ x (* 2 y)))) (sin (/ x (* y 2)))) #s(literal 0 binary64)) |
| 1× | fuel |
Compiled 350 to 82 computations (76.6% saved)
Compiled 1 270 to 504 computations (60.3% saved)
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