
Time bar (total: 11.6s)
| 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)
| 1.4s | 4 027× | 1 | valid |
| 367.0ms | 4 229× | 0 | valid |
ival-sin: 468.0ms (34.1% of total)ival-tan: 429.0ms (31.2% of total)ival-div: 304.0ms (22.1% of total)ival-mult: 107.0ms (7.8% of total)adjust: 52.0ms (3.8% of total)ival-true: 6.0ms (0.4% of total)exact: 5.0ms (0.4% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 121 | 0 | - | 0 | - | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 121 | 0 | - | 0 | - | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 27 | 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 | 93 | 0 |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | sensitivity | 93 | 0 |
sin.f64 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 28 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 28 | |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 28 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 28 | |
/.f64 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | u/u | 27 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 27 | |
| ↳ | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 27 | |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 27 | |
| ↳ | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 27 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 148 | 0 |
| - | 0 | 108 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 148 | 0 | 0 |
| - | 0 | 0 | 108 |
| number | freq |
|---|---|
| 0 | 108 |
| 1 | 27 |
| 2 | 121 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 114.0ms | 232× | 1 | valid |
| 39.0ms | 280× | 0 | valid |
Compiled 89 to 28 computations (68.5% saved)
ival-sin: 86.0ms (64.1% of total)ival-div: 30.0ms (22.4% of total)ival-tan: 11.0ms (8.2% of total)ival-mult: 4.0ms (3% of total)adjust: 3.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 75 |
| 1 | 51 | 67 |
| 2 | 122 | 65 |
| 3 | 227 | 65 |
| 4 | 435 | 65 |
| 5 | 849 | 65 |
| 6 | 1820 | 65 |
| 7 | 4068 | 65 |
| 0 | 8 | 13 |
| 0 | 13 | 13 |
| 1 | 21 | 13 |
| 2 | 35 | 13 |
| 3 | 53 | 13 |
| 4 | 78 | 13 |
| 5 | 124 | 13 |
| 6 | 196 | 13 |
| 7 | 423 | 13 |
| 8 | 993 | 13 |
| 9 | 2039 | 13 |
| 10 | 4361 | 13 |
| 11 | 7934 | 13 |
| 0 | 8194 | 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 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(abs y)
(abs x)
Compiled 13 to 8 computations (38.5% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 47.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
Compiled 13 to 8 computations (38.5% saved)
| 1× | egg-herbie |
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 | 35 | 36 |
| 3 | 53 | 36 |
| 4 | 78 | 36 |
| 5 | 124 | 36 |
| 6 | 196 | 36 |
| 7 | 423 | 36 |
| 8 | 993 | 36 |
| 9 | 2039 | 36 |
| 10 | 4361 | 36 |
| 11 | 7934 | 36 |
| 0 | 8194 | 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 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 (/.f64 x y) #s(literal -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) |
(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 | 6.664136778372283 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 26.612479576046606 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 26.66431807391119 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 20.0ms | 116× | 1 | valid |
| 9.0ms | 140× | 0 | valid |
Compiled 38 to 10 computations (73.7% saved)
ival-sin: 6.0ms (29.6% of total)ival-tan: 6.0ms (29.6% of total)ival-div: 5.0ms (24.7% of total)ival-mult: 2.0ms (9.9% of total)adjust: 1.0ms (4.9% 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 | y | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 1576 |
| 1 | 1006 | 1536 |
| 2 | 4033 | 1498 |
| 0 | 8680 | 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 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (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)))) 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 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (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))))) (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 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (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)))) x)) #s(literal 1 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))) (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64))))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (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))))) 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)))) (*.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 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 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 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (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))))) (*.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 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 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 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (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)))) 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 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 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 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (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))))) (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 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (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))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal 1 binary64)) (fma.f64 (*.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #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))))) 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 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 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 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 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 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 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 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (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 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: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 33 |
| 0 | 13 | 17 |
| 1 | 29 | 17 |
| 2 | 118 | 17 |
| 3 | 824 | 7 |
| 0 | 10401 | 7 |
| 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))) |
(*.f64 y #s(literal 2 binary64)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(/.f64 (/.f64 x #s(literal -2 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 x #s(literal -2 binary64)) y) |
(/.f64 (/.f64 x #s(literal 2 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 x #s(literal 2 binary64)) y) |
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -2 binary64)) |
(/.f64 (/.f64 (neg.f64 x) y) #s(literal 2 binary64)) |
(/.f64 (/.f64 x y) #s(literal -2 binary64)) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(/.f64 (neg.f64 x) #s(literal 0 binary64)) |
(/.f64 x #s(literal 0 binary64)) |
(neg.f64 (/.f64 x #s(literal 0 binary64))) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
Compiled 2 105 to 381 computations (81.9% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 46 | 9 | 55 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 46 | 10 | 56 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 4.9% | (/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| ✓ | 47.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| ▶ | 39.4% | (/.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))) |
| 47.1% | (/.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)))) | |
| 46.5% | (/.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))))) | |
| 41.9% | (/.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))))) | |
| ▶ | 50.2% | #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))) |
| ▶ | 57.6% | #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)))) |
| 56.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) | |
| ▶ | 3.1% | #s(literal 0 binary64) |
Compiled 351 to 254 computations (27.6% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 (/.f64 x y) #s(literal -2 binary64)) | |
| cost-diff | 0 | (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.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 (*.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 | (*.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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 258 |
| 0 | 63 | 258 |
| 1 | 104 | 258 |
| 2 | 217 | 258 |
| 3 | 621 | 258 |
| 4 | 1964 | 255 |
| 5 | 4586 | 255 |
| 6 | 7550 | 255 |
| 0 | 8158 | 252 |
| 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 (/.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 |
#s(literal 0 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 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) |
(/.f64 (/.f64 x y) #s(literal -2 binary64)) |
(/.f64 x y) |
x |
y |
#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)) |
#s(literal 2 binary64) |
| Outputs |
|---|
#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 |
#s(literal 0 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 #s(literal 1/2 binary64) y) x)))) |
(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 #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) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (*.f64 (/.f64 #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) |
(/.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 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) |
(/.f64 (/.f64 x y) #s(literal -2 binary64)) |
(/.f64 x y) |
x |
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))) |
(/.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) |
#s(literal 2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (/.f64 (/.f64 x y) #s(literal -2 binary64)) | |
| accuracy | 6.83115219909806 | (/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 26.612479576046606 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 26.701442008838768 | (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) | |
| accuracy | 6.664136778372283 | (/.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 | 6.863593752174633 | (/.f64 (*.f64 x x) y) | |
| accuracy | 26.66431807391119 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 30.086254591950798 | #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 | 1.478046776194257 | (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) | |
| accuracy | 6.863593752174633 | (/.f64 (*.f64 x x) y) | |
| accuracy | 30.085312432939297 | #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 | 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 | 0.10546875 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| accuracy | 0.23828125 | (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) | |
| accuracy | 27.084401261164366 | (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
| 152.0ms | 116× | 1 | valid |
| 90.0ms | 140× | 0 | valid |
Compiled 214 to 34 computations (84.1% saved)
ival-cos: 87.0ms (40.2% of total)ival-mult: 69.0ms (31.9% of total)ival-div: 25.0ms (11.6% of total)ival-tan: 12.0ms (5.5% of total)ival-sin: 9.0ms (4.2% of total)adjust: 5.0ms (2.3% of total)const: 5.0ms (2.3% of total)ival-add: 3.0ms (1.4% of total)exact: 1.0ms (0.5% 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 (/.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) |
#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))) |
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) |
(/.f64 (/.f64 x y) #s(literal -2 binary64)) |
(/.f64 x 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)))) |
| 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)) |
(/ (pow x 2) 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)))) |
-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) |
(* -1/2 (/ 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 y) |
(pow x 2) |
(* 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)))) |
(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 (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (sin (* 1/2 (/ x y))))) |
(/ (sin (* -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)))))) |
(/ (+ (* 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 (/ (- (* -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)))))) |
(/ (+ (* -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) |
(- (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (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)))) (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (+ 1 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (* 1/24 (/ (pow x 2) (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)))) (+ (* 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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 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))) (* 1/24 (/ (pow x 2) (pow y 2)))))))))) |
(/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -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) |
(/ (- (+ (* -1/2 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) |
(/ (+ (* -1/48 (/ (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)))) 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)) |
(- (* -2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (* 1/24 (/ (pow x 2) (pow y 2))))))) |
(- (+ (* -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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 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))) (* 1/24 (/ (pow x 2) (pow y 2)))))))))) |
(* -1 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -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 (/ (- (+ (* -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 (/ (+ (* -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 | |
|---|---|---|---|---|
| 26.0ms | x | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (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 (/ (/ x y) -2)) (sin (/ x (* y 2)))) (tan (/ (/ x y) -2)) (/ (/ x y) -2) (/ x y) (* x x) (sin (/ x (* y 2))) (sin (/ x (* y 2)))) |
| 17.0ms | y | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (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 (/ (/ x y) -2)) (sin (/ x (* y 2)))) (tan (/ (/ x y) -2)) (/ (/ x y) -2) (/ x y) (* x x) (sin (/ x (* y 2))) (sin (/ x (* y 2)))) |
| 8.0ms | x | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (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 (/ (/ x y) -2)) (sin (/ x (* y 2)))) (tan (/ (/ x y) -2)) (/ (/ x y) -2) (/ x y) (* x x) (sin (/ x (* y 2))) (sin (/ x (* y 2)))) |
| 6.0ms | y | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (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 (/ (/ x y) -2)) (sin (/ x (* y 2)))) (tan (/ (/ x y) -2)) (/ (/ x y) -2) (/ x y) (* x x) (sin (/ x (* y 2))) (sin (/ x (* y 2)))) |
| 5.0ms | y | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (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 (/ (/ x y) -2)) (sin (/ x (* y 2)))) (tan (/ (/ x y) -2)) (/ (/ x y) -2) (/ x y) (* x x) (sin (/ x (* y 2))) (sin (/ x (* y 2)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 491 | 3227 |
| 1 | 1540 | 3093 |
| 2 | 6130 | 3035 |
| 0 | 8235 | 2843 |
| 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)) |
(/ (pow x 2) 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)))) |
-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) |
(* -1/2 (/ 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 y) |
(pow x 2) |
(* 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)))) |
(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 (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (sin (* 1/2 (/ x y))))) |
(/ (sin (* -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)))))) |
(/ (+ (* 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 (/ (- (* -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)))))) |
(/ (+ (* -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) |
(- (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (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)))) (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (+ 1 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (* 1/24 (/ (pow x 2) (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)))) (+ (* 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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 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))) (* 1/24 (/ (pow x 2) (pow y 2)))))))))) |
(/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -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) |
(/ (- (+ (* -1/2 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) |
(/ (+ (* -1/48 (/ (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)))) 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)) |
(- (* -2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (* 1/24 (/ (pow x 2) (pow y 2))))))) |
(- (+ (* -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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 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))) (* 1/24 (/ (pow x 2) (pow y 2)))))))))) |
(* -1 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -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 (/ (- (+ (* -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 (/ (+ (* -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 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 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 (fma.f64 (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)))) (*.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 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 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 (fma.f64 (*.f64 (/.f64 #s(literal 1/384 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) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 x (/.f64 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)) |
(/ (pow x 2) y) |
(*.f64 x (/.f64 x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(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))) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 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 x y) #s(literal 1/2 binary64))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(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 x y) #s(literal 1/2 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* -1/8 (/ (pow x 2) (pow y 2))) 1) |
(-.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64)) |
(- (* (pow x 2) (- (* -5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))) 1) |
(-.f64 (*.f64 (fma.f64 #s(literal -5/384 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) (*.f64 x x)) #s(literal 1 binary64)) |
(- (* (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) |
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -61/46080 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 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)) |
(* -1/2 (/ x y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(* x (- (* -1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/24 binary64) y) (*.f64 x (/.f64 x y)) #s(literal -1/2 binary64)) y) x) |
(* x (- (* (pow x 2) (- (* -1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/240 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (/.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)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -17/40320 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 7 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 x x) (/.f64 #s(literal -1/2 binary64) y)) x) |
(/ x y) |
(/.f64 x y) |
(pow x 2) |
(*.f64 x 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 x y) #s(literal 1/2 binary64))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(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 x y) #s(literal 1/2 binary64))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(cos (* 1/2 (/ x y))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)) |
(* -1/48 (/ (pow x 3) (pow y 3))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64)) |
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow x 2) y))) (* 1/48 (/ 1 (pow y 3))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) y)) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (sin (* 1/2 (/ x y))))) |
(/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(/ (sin (* -1/2 (/ x y))) (cos (* -1/2 (/ x y)))) |
(/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow y 3))) (* 1/2 (/ 1 (* (pow x 2) y)))))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) y)))) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)) |
(/ 1/8 y) |
(/.f64 #s(literal 1/8 binary64) y) |
(/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3)) |
(fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(-.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)))))) |
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(/.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))) (neg.f64 y)) |
(* -1 (/ (- (+ (* -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)) |
(neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/3840 binary64) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (/.f64 #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 (/ (- (+ (* -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)) |
(neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64) (/.f64 (-.f64 (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 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/3840 binary64)) (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))))) (*.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 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 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 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(neg.f64 (-.f64 (/.f64 (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)) y) (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/48 binary64)))) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(/.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 | 37 | 193 |
| 0 | 62 | 193 |
| 1 | 174 | 193 |
| 2 | 943 | 193 |
| 0 | 8445 | 193 |
| 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 (/.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) |
#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))) |
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) |
(/.f64 (/.f64 x y) #s(literal -2 binary64)) |
(/.f64 x 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)))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)))) (-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)))))) |
(neg.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(sin.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) |
(sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))) |
(sin.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64))) |
(sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) #s(literal 1 binary64))) |
(cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(+.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 x)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 x (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) y) |
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
#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 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y))))) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)))))) (*.f64 (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)))) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y))))) (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)))) #s(literal -1 binary64)))) |
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(/.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 (/.f64 x #s(literal 2 binary64)) y)) (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(neg.f64 (tan.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y))) |
(tan.f64 (neg.f64 (-.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (PI.f64)))) |
(tan.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (+.f64 (PI.f64) (PI.f64))))) |
(tan.f64 (+.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.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 (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 #s(literal 1 binary64) (sin.f64 (/.f64 (neg.f64 x) y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y)))) |
(+.f64 (/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64)))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (/.f64 x #s(literal 2 binary64))) y) |
(/.f64 (/.f64 x #s(literal 2 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 (neg.f64 x) y) #s(literal 2 binary64)) |
(/.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (/.f64 x y) #s(literal -2 binary64)) |
(/.f64 x (*.f64 #s(literal -2 binary64) y)) |
(neg.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
#s(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)) |
(neg.f64 (neg.f64 #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)))) |
(neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(fma.f64 (sin.f64 (PI.f64)) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 (cos.f64 (PI.f64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (PI.f64)))) |
(sin.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)) (PI.f64))) |
(sin.f64 (+.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y) (+.f64 (PI.f64) (PI.f64)))) |
(sin.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x y) #s(literal -2 binary64)))) |
(sin.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) y)) |
(cos.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (PI.f64))) |
(cos.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x #s(literal 2 binary64)) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (/.f64 (+.f64 (/.f64 (neg.f64 x) y) (PI.f64)) #s(literal 2 binary64))) |
(+.f64 (*.f64 (sin.f64 (PI.f64)) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (*.f64 (cos.f64 (PI.f64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (PI.f64))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (PI.f64)))) |
Compiled 14 071 to 1 703 computations (87.9% saved)
25 alts after pruning (22 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 361 | 19 | 380 |
| Fresh | 1 | 3 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 365 | 25 | 390 |
| Status | Accuracy | Program |
|---|---|---|
| 5.5% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 4.9% | (/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 5.5% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (neg.f64 x) y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 5.4% | (/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (PI.f64))))) | |
| 4.6% | (/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (/.f64 (+.f64 (/.f64 (neg.f64 x) y) (PI.f64)) #s(literal 2 binary64)))) | |
| ✓ | 47.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 47.1% | (/.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)))) | |
| ▶ | 4.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 39.3% | (/.f64 #s(approx (tan (/ x (* y 2))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 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))) | |
| 46.5% | (/.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))))) | |
| 7.1% | #s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64)) | |
| ✓ | 50.2% | #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))) |
| 54.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 57.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)))))))) | |
| 57.9% | #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)))))) | |
| 58.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| 58.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))) | |
| 57.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) | |
| ▶ | 57.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))))) |
| 57.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64))))) | |
| ✓ | 57.6% | #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)))) |
| 53.7% | #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 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))))) | |
| ▶ | 58.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) |
| 54.3% | #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)))) | |
| ▶ | 56.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 1 217 to 782 computations (35.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (neg.f64 x) y) | |
| cost-diff | 0 | (sin.f64 (/.f64 (neg.f64 x) y)) | |
| cost-diff | 0 | (/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 6 | (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) y) | |
| cost-diff | 0 | (/.f64 x (*.f64 #s(literal -2 binary64) y)) | |
| cost-diff | 0 | (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 0 | (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))))) | |
| cost-diff | 3 | (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) | |
| cost-diff | 0 | (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| cost-diff | 1 | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 254 |
| 0 | 67 | 237 |
| 1 | 111 | 237 |
| 2 | 192 | 231 |
| 3 | 379 | 231 |
| 4 | 699 | 231 |
| 5 | 1488 | 231 |
| 6 | 3838 | 231 |
| 7 | 6731 | 231 |
| 0 | 8082 | 231 |
| 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 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
#s(literal -1 binary64) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
x |
y |
(PI.f64) |
#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)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(PI.f64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.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 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 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) |
(sin.f64 (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) |
#s(literal 1 binary64) |
(cos.f64 (/.f64 x y)) |
(/.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) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (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) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
#s(literal -1 binary64) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) |
(cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) |
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
x |
y |
(PI.f64) |
#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)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
#s(literal 1 binary64) |
(cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(PI.f64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) 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)))) |
(tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) |
(tan.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 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 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (cos.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 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) |
(tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) |
(sin.f64 (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
(+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) |
(+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(cos.f64 (/.f64 x y)) |
(/.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) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.83115219909806 | (/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 26.367531074902026 | (sin.f64 (/.f64 (neg.f64 x) y)) | |
| accuracy | 26.612479576046606 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 26.822066777352525 | (cos.f64 (/.f64 x y)) | |
| accuracy | 0.0 | (*.f64 #s(literal -2 binary64) y) | |
| accuracy | 6.83115219909806 | (/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 26.612479576046606 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 26.701442008838768 | (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) | |
| accuracy | 0.03125 | (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)) | |
| accuracy | 0.10546875 | (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))) | |
| accuracy | 0.1171875 | (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) | |
| accuracy | 27.032864284421464 | (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))) | |
| accuracy | 28.1455567965605 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) | |
| accuracy | 0.026591230164287515 | (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) | |
| accuracy | 0.10546875 | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)))) | |
| accuracy | 26.297387607986522 | (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) |
| 87.0ms | 116× | 1 | valid |
| 49.0ms | 140× | 0 | valid |
Compiled 239 to 38 computations (84.1% saved)
ival-div: 26.0ms (26.1% of total)ival-cos: 25.0ms (25.1% of total)ival-tan: 13.0ms (13.1% of total)ival-sin: 11.0ms (11% of total)ival-mult: 8.0ms (8% of total)adjust: 7.0ms (7% of total)ival-add: 6.0ms (6% of total)ival-pi: 1.0ms (1% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.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) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
(cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)) |
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) |
(/.f64 x (*.f64 #s(literal -2 binary64) y)) |
(*.f64 #s(literal -2 binary64) y) |
(/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) |
(/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(sin.f64 (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(cos.f64 (/.f64 x y)) |
| Outputs |
|---|
(/ -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 (+ (* -1/2 (/ (* (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))))) (+ (* -1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))))))) (+ (* 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 |
(+ 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)))))) |
(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))))) |
(PI) |
(+ (PI) (* -1/2 (/ x y))) |
(cos (* 2 (PI))) |
(+ (cos (* 2 (PI))) (* -1/2 (/ (* x (sin (* 2 (PI)))) y))) |
(+ (cos (* 2 (PI))) (* x (- (* -1/8 (/ (* x (cos (* 2 (PI)))) (pow y 2))) (* 1/2 (/ (sin (* 2 (PI))) y))))) |
(+ (cos (* 2 (PI))) (* x (- (* x (+ (* -1/8 (/ (cos (* 2 (PI))) (pow y 2))) (* 1/48 (/ (* x (sin (* 2 (PI)))) (pow y 3))))) (* 1/2 (/ (sin (* 2 (PI))) y))))) |
(/ 1 (cos (* 2 (PI)))) |
(+ (* 1/2 (/ (* x (sin (* 2 (PI)))) (* y (pow (cos (* 2 (PI))) 2)))) (/ 1 (cos (* 2 (PI))))) |
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (cos (* 2 (PI)))))) (* -1/4 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 2) (pow (cos (* 2 (PI))) 3)))))) (* -1/2 (/ (sin (* 2 (PI))) (* y (pow (cos (* 2 (PI))) 2)))))) (/ 1 (cos (* 2 (PI))))) |
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (sin (* 2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (cos (* 2 (PI)))))) (* -1/4 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 2) (pow (cos (* 2 (PI))) 3)))))) (* y (cos (* 2 (PI)))))) (+ (* -1/16 (/ (sin (* 2 (PI))) (* (pow y 3) (pow (cos (* 2 (PI))) 2)))) (* 1/48 (/ (sin (* 2 (PI))) (* (pow y 3) (pow (cos (* 2 (PI))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (cos (* 2 (PI))))))) (* -1/4 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 2) (pow (cos (* 2 (PI))) 3)))))) (* -1/2 (/ (sin (* 2 (PI))) (* y (pow (cos (* 2 (PI))) 2)))))) (/ 1 (cos (* 2 (PI))))) |
(* 2 (PI)) |
(+ (* 1/2 (/ x y)) (* 2 (PI))) |
-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) |
(* -1/2 (/ 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)))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* 269/64512 (/ 1 (pow y 6))) (* 443/80640 (/ 1 (pow y 6))))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))) 1) |
(* -1 (/ 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))) |
(+ (PI) (* 1/2 (/ x y))) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(+ 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 (cos (- (PI) (* 1/2 (/ x y))))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(cos (- (PI) (* 1/2 (/ x y)))) |
(* x (- (/ (PI) x) (* 1/2 (/ 1 y)))) |
(cos (+ (* 1/2 (/ x y)) (* 2 (PI)))) |
(/ 1 (cos (+ (* 1/2 (/ x y)) (* 2 (PI))))) |
(* x (+ (* 2 (/ (PI) x)) (* 1/2 (/ 1 y)))) |
(/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (sin (* 1/2 (/ x y))))) |
(/ (sin (* -1/2 (/ x y))) (cos (* -1/2 (/ x y)))) |
(/ (sin (* -1 (/ x y))) (+ 1 (cos (/ x y)))) |
(/ (sin (* -1 (/ x y))) (* (sin (* 1/2 (/ x y))) (+ 1 (cos (/ x y))))) |
(sin (* -1 (/ x y))) |
(* x (+ (* 1/2 (/ 1 y)) (/ (PI) x))) |
(sin (* 1/2 (/ x y))) |
(cos (/ x y)) |
(/ -1 (cos (+ (PI) (* -1/2 (/ x y))))) |
(cos (+ (PI) (* -1/2 (/ x y)))) |
(* -1 (* x (+ (* -1 (/ (PI) x)) (* 1/2 (/ 1 y))))) |
(cos (- (* 2 (PI)) (* -1/2 (/ x y)))) |
(/ 1 (cos (- (* 2 (PI)) (* -1/2 (/ x y))))) |
(* -1 (* x (- (* -2 (/ (PI) x)) (* 1/2 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (PI) x)) (* 1/2 (/ 1 y))))) |
(/ (+ (* -1/2 x) (* y (PI))) y) |
(/ (+ (* 1/2 x) (* 2 (* y (PI)))) y) |
(* -2 y) |
(/ (+ (* 1/2 x) (* y (PI))) y) |
(- (* -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 (/ (+ (* -1/2 (/ (* 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)))) (+ (* -1/16 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))) (* 1/48 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))))) (pow y 3))) (+ (* -1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (+ (* 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 (cos (PI))))))) |
(- (+ 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))))))))) |
(- (+ (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))) |
(- (+ (cos (* 2 (PI))) (* -1/8 (/ (* (pow x 2) (cos (* 2 (PI)))) (pow y 2)))) (* 1/2 (/ (* x (sin (* 2 (PI)))) y))) |
(- (+ (cos (* 2 (PI))) (+ (* -1/8 (/ (* (pow x 2) (cos (* 2 (PI)))) (pow y 2))) (* 1/48 (/ (* (pow x 3) (sin (* 2 (PI)))) (pow y 3))))) (* 1/2 (/ (* x (sin (* 2 (PI)))) y))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow x 2) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 3))) (* -1/8 (/ (pow x 2) (cos (* 2 (PI)))))) (pow y 2))) (/ 1 (cos (* 2 (PI))))) (* -1/2 (/ (* x (sin (* 2 (PI)))) (* y (pow (cos (* 2 (PI))) 2))))) |
(- (+ (* -1 (/ (+ (* -1/16 (/ (* (pow x 3) (sin (* 2 (PI)))) (pow (cos (* 2 (PI))) 2))) (+ (* 1/48 (/ (* (pow x 3) (sin (* 2 (PI)))) (pow (cos (* 2 (PI))) 2))) (* 1/2 (/ (* x (* (sin (* 2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 3))) (* -1/8 (/ (pow x 2) (cos (* 2 (PI)))))))) (cos (* 2 (PI))))))) (pow y 3))) (/ 1 (cos (* 2 (PI))))) (+ (* -1/2 (/ (* x (sin (* 2 (PI)))) (* y (pow (cos (* 2 (PI))) 2)))) (+ (* -1/4 (/ (* (pow x 2) (pow (sin (* 2 (PI))) 2)) (* (pow y 2) (pow (cos (* 2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* (pow y 2) (cos (* 2 (PI))))))))) |
(- (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (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)))) (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (+ 1 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (* 1/24 (/ (pow x 2) (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)))) (+ (* 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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 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))) (* 1/24 (/ (pow x 2) (pow y 2)))))))))) |
(/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -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) |
(/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y) |
(/ (- (+ (* -1/2 x) (* 1/12 (/ (pow x 3) (pow y 2)))) (* 1/8 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (* 1/12 (/ (pow x 3) (pow y 2))))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (* 1/8 (/ (pow x 3) (pow y 2)))))) y) |
(/ (- (+ (* -1/2 x) (+ (* -1/240 (/ (pow x 5) (pow y 4))) (+ (* 1/10080 (/ (pow x 7) (pow y 6))) (* 1/12 (/ (pow x 3) (pow y 2)))))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/240 (pow x 5)) (+ (* -1/4 (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3))))) (* -1/96 (pow x 5))))) (pow y 6))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 4))) (+ (* -1/96 (/ (pow x 5) (pow y 4))) (+ (* 1/2880 (/ (pow x 7) (pow y 6))) (+ (* 1/48 (/ (* (pow x 4) (- (* 1/12 (pow x 3)) (* 1/8 (pow x 3)))) (pow y 6))) (* 1/8 (/ (pow x 3) (pow y 2))))))))) y) |
(- (* 1/6 (/ (pow x 2) (pow y 2))) (+ 1 (* -1 (/ (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (* x (pow y 2)))))) |
(- (+ (* -1/120 (/ (pow x 4) (pow y 4))) (* 1/6 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1 (/ (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (* x (pow y 2)))) (+ (* -1 (/ (+ (* 1/1920 (pow x 5)) (+ (* 1/96 (pow x 5)) (* 1/48 (pow x 5)))) (* x (pow y 4)))) (/ (* (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (- (* 1/6 (pow x 2)) (* -1 (/ (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) x)))) (* x (pow y 4))))))) |
(- (+ (* -1/120 (/ (pow x 4) (pow y 4))) (+ (* 1/5040 (/ (pow x 6) (pow y 6))) (* 1/6 (/ (pow x 2) (pow y 2))))) (+ 1 (+ (* -1 (/ (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (* x (pow y 2)))) (+ (* -1 (/ (+ (* -1/1152 (pow x 7)) (+ (* -1/1440 (pow x 7)) (+ (* -1/7680 (pow x 7)) (* -1/322560 (pow x 7))))) (* x (pow y 6)))) (+ (* -1 (/ (+ (* 1/1920 (pow x 5)) (+ (* 1/96 (pow x 5)) (* 1/48 (pow x 5)))) (* x (pow y 4)))) (+ (/ (* (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (- (* -1/120 (pow x 4)) (+ (* -1 (/ (+ (* 1/1920 (pow x 5)) (+ (* 1/96 (pow x 5)) (* 1/48 (pow x 5)))) x)) (/ (* (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (- (* 1/6 (pow x 2)) (* -1 (/ (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) x)))) x)))) (* x (pow y 6))) (+ (/ (* (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) (- (* 1/6 (pow x 2)) (* -1 (/ (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) x)))) (* x (pow y 4))) (/ (* (+ (* 1/1920 (pow x 5)) (+ (* 1/96 (pow x 5)) (* 1/48 (pow x 5)))) (- (* 1/6 (pow x 2)) (* -1 (/ (+ (* -1/4 (pow x 3)) (* -1/24 (pow x 3))) x)))) (* x (pow y 6)))))))))) |
(/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y) |
(/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -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) |
(/ (+ (* -1/48 (/ (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 (+ (* -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) (* 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 (/ (- (+ (* -1/48 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))) (+ (* 1/16 (/ (* (pow x 3) (sin (PI))) (* y (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)))))) (* y (cos (PI))))))) (+ (* 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 (* -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))))))))) |
(+ (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))) |
(+ (cos (* 2 (PI))) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (* 2 (PI)))) y)) (* -1/2 (* x (sin (* 2 (PI)))))) y))) |
(+ (cos (* 2 (PI))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (* 2 (PI))))) (* 1/48 (/ (* (pow x 3) (sin (* 2 (PI)))) y))) y)) (* -1/2 (* x (sin (* 2 (PI)))))) y))) |
(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (sin (* 2 (PI))) 2)) (* y (pow (cos (* 2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* y (cos (* 2 (PI))))))) (* 1/2 (/ (* x (sin (* 2 (PI)))) (pow (cos (* 2 (PI))) 2)))) y)) (/ 1 (cos (* 2 (PI))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (sin (* 2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 3))) (* -1/8 (/ (pow x 2) (cos (* 2 (PI)))))))) (* y (cos (* 2 (PI)))))) (+ (* -1/48 (/ (* (pow x 3) (sin (* 2 (PI)))) (* y (pow (cos (* 2 (PI))) 2)))) (* 1/16 (/ (* (pow x 3) (sin (* 2 (PI)))) (* y (pow (cos (* 2 (PI))) 2)))))) (+ (* -1/4 (/ (* (pow x 2) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 3))) (* -1/8 (/ (pow x 2) (cos (* 2 (PI))))))) y)) (* 1/2 (/ (* x (sin (* 2 (PI)))) (pow (cos (* 2 (PI))) 2)))) y)) (/ 1 (cos (* 2 (PI))))) |
(- (* -2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (* 1/24 (/ (pow x 2) (pow y 2))))))) |
(- (+ (* -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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 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))) (* 1/24 (/ (pow x 2) (pow y 2)))))))))) |
(* -1 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -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 (/ (- (+ (* -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 (/ (- (+ (* -1/12 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/8 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/12 (pow x 3)) (* -1/8 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (pow x 3) (pow y 2))) (* 1/96 (/ (pow x 5) (pow y 4)))))) y)) |
(* -1 (/ (- (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* -1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/12 (pow x 3)) (* -1/8 (pow x 3)))) (pow y 4))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/240 (pow x 5)) (+ (* -1/4 (* (pow x 2) (- (* -1/12 (pow x 3)) (* -1/8 (pow x 3))))) (* 1/96 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (pow x 3) (pow y 2))) (+ (* -1/2880 (/ (pow x 7) (pow y 6))) (+ (* 1/96 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (* (pow x 4) (- (* -1/12 (pow x 3)) (* -1/8 (pow x 3)))) (pow y 6))))))))) y)) |
(- (* 1/6 (/ (pow x 2) (pow y 2))) (+ 1 (+ (* 1/24 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (pow x 2) (pow y 2)))))) |
(- (+ (* -1/120 (/ (pow x 4) (pow y 4))) (* 1/6 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/6 (pow x 2)) (+ (* 1/24 (pow x 2)) (* 1/4 (pow x 2))))) (* x (pow y 4)))) (+ (* -1/48 (/ (pow x 4) (pow y 4))) (+ (* -1/96 (/ (pow x 4) (pow y 4))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 1/24 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (pow x 2) (pow y 2)))))))))) |
(- (+ (* -1/120 (/ (pow x 4) (pow y 4))) (+ (* 1/5040 (/ (pow x 6) (pow y 6))) (* 1/6 (/ (pow x 2) (pow y 2))))) (+ 1 (+ (* -1 (/ (* (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (- (* 1/6 (pow x 2)) (+ (* 1/24 (pow x 2)) (* 1/4 (pow x 2))))) (* x (pow y 6)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/120 (pow x 4)) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/6 (pow x 2)) (+ (* 1/24 (pow x 2)) (* 1/4 (pow x 2))))) x)) (+ (* -1/48 (pow x 4)) (+ (* -1/96 (pow x 4)) (* -1/1920 (pow x 4))))))) (* x (pow y 6)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/6 (pow x 2)) (+ (* 1/24 (pow x 2)) (* 1/4 (pow x 2))))) (* x (pow y 4)))) (+ (* -1/48 (/ (pow x 4) (pow y 4))) (+ (* -1/96 (/ (pow x 4) (pow y 4))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/7680 (/ (pow x 6) (pow y 6))) (+ (* 1/1440 (/ (pow x 6) (pow y 6))) (+ (* 1/1152 (/ (pow x 6) (pow y 6))) (+ (* 1/24 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (pow x 2) (pow y 2)))))))))))))))) |
(* -1 (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)) |
(* -1 (/ (+ 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 (/ (+ (* -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 | |
|---|---|---|---|---|
| 14.0ms | y | @ | -inf | ((/ -1 (cos (+ (* -1/2 (/ x y)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* -1/2 (/ x y)) (PI))) (+ (* -1/2 (/ x y)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI)))) (+ (+ (* (/ 1/2 y) x) (PI)) (PI)) (/ (tan (/ x (* -2 y))) (sin (/ x (* y 2)))) (tan (/ x (* -2 y))) (/ x (* -2 y)) (* -2 y) (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (/ (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (sin (/ (neg x) y)) (/ (neg x) y) (+ (* (/ 1/2 y) x) (PI)) (sin (/ x (* y 2))) (cos (/ x y))) |
| 11.0ms | x | @ | -inf | ((/ -1 (cos (+ (* -1/2 (/ x y)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* -1/2 (/ x y)) (PI))) (+ (* -1/2 (/ x y)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI)))) (+ (+ (* (/ 1/2 y) x) (PI)) (PI)) (/ (tan (/ x (* -2 y))) (sin (/ x (* y 2)))) (tan (/ x (* -2 y))) (/ x (* -2 y)) (* -2 y) (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (/ (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (sin (/ (neg x) y)) (/ (neg x) y) (+ (* (/ 1/2 y) x) (PI)) (sin (/ x (* y 2))) (cos (/ x y))) |
| 10.0ms | y | @ | inf | ((/ -1 (cos (+ (* -1/2 (/ x y)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* -1/2 (/ x y)) (PI))) (+ (* -1/2 (/ x y)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI)))) (+ (+ (* (/ 1/2 y) x) (PI)) (PI)) (/ (tan (/ x (* -2 y))) (sin (/ x (* y 2)))) (tan (/ x (* -2 y))) (/ x (* -2 y)) (* -2 y) (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (/ (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (sin (/ (neg x) y)) (/ (neg x) y) (+ (* (/ 1/2 y) x) (PI)) (sin (/ x (* y 2))) (cos (/ x y))) |
| 9.0ms | x | @ | inf | ((/ -1 (cos (+ (* -1/2 (/ x y)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* -1/2 (/ x y)) (PI))) (+ (* -1/2 (/ x y)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI)))) (+ (+ (* (/ 1/2 y) x) (PI)) (PI)) (/ (tan (/ x (* -2 y))) (sin (/ x (* y 2)))) (tan (/ x (* -2 y))) (/ x (* -2 y)) (* -2 y) (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (/ (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (sin (/ (neg x) y)) (/ (neg x) y) (+ (* (/ 1/2 y) x) (PI)) (sin (/ x (* y 2))) (cos (/ x y))) |
| 6.0ms | x | @ | 0 | ((/ -1 (cos (+ (* -1/2 (/ x y)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* -1/2 (/ x y)) (PI))) (+ (* -1/2 (/ x y)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI)))) (+ (+ (* (/ 1/2 y) x) (PI)) (PI)) (/ (tan (/ x (* -2 y))) (sin (/ x (* y 2)))) (tan (/ x (* -2 y))) (/ x (* -2 y)) (* -2 y) (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (/ (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (sin (/ (neg x) y)) (/ (neg x) y) (+ (* (/ 1/2 y) x) (PI)) (sin (/ x (* y 2))) (cos (/ x y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1050 | 5304 |
| 1 | 3513 | 4275 |
| 0 | 9136 | 4026 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -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)))) |
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1 |
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(PI) |
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(/ 1 (cos (* 2 (PI)))) |
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(* 2 (PI)) |
(+ (* 1/2 (/ x y)) (* 2 (PI))) |
-1 |
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(* -1/2 (/ x y)) |
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(* x (- (* (pow x 2) (- (* -1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
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(- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* 269/64512 (/ 1 (pow y 6))) (* 443/80640 (/ 1 (pow y 6))))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))) 1) |
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(- (+ (cos (PI)) (* -1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2)))) (* -1/2 (/ (* x (sin (PI))) y))) |
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(- (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (pow y 2))))) |
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(/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y) |
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(/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y) |
(/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y) |
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
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(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
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(+ (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))) |
(+ (cos (* 2 (PI))) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (* 2 (PI)))) y)) (* -1/2 (* x (sin (* 2 (PI)))))) y))) |
(+ (cos (* 2 (PI))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (* 2 (PI))))) (* 1/48 (/ (* (pow x 3) (sin (* 2 (PI)))) y))) y)) (* -1/2 (* x (sin (* 2 (PI)))))) y))) |
(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (sin (* 2 (PI))) 2)) (* y (pow (cos (* 2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* y (cos (* 2 (PI))))))) (* 1/2 (/ (* x (sin (* 2 (PI)))) (pow (cos (* 2 (PI))) 2)))) y)) (/ 1 (cos (* 2 (PI))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (sin (* 2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 3))) (* -1/8 (/ (pow x 2) (cos (* 2 (PI)))))))) (* y (cos (* 2 (PI)))))) (+ (* -1/48 (/ (* (pow x 3) (sin (* 2 (PI)))) (* y (pow (cos (* 2 (PI))) 2)))) (* 1/16 (/ (* (pow x 3) (sin (* 2 (PI)))) (* y (pow (cos (* 2 (PI))) 2)))))) (+ (* -1/4 (/ (* (pow x 2) (pow (sin (* 2 (PI))) 2)) (pow (cos (* 2 (PI))) 3))) (* -1/8 (/ (pow x 2) (cos (* 2 (PI))))))) y)) (* 1/2 (/ (* x (sin (* 2 (PI)))) (pow (cos (* 2 (PI))) 2)))) y)) (/ 1 (cos (* 2 (PI))))) |
(- (* -2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (* 1/24 (/ (pow x 2) (pow y 2))))))) |
(- (+ (* -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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 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))) (* 1/24 (/ (pow x 2) (pow y 2)))))))))) |
(* -1 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -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 (/ (- (+ (* -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 (/ (- (+ (* -1/12 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/8 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/12 (pow x 3)) (* -1/8 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (pow x 3) (pow y 2))) (* 1/96 (/ (pow x 5) (pow y 4)))))) y)) |
(* -1 (/ (- (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* -1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/12 (pow x 3)) (* -1/8 (pow x 3)))) (pow y 4))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/240 (pow x 5)) (+ (* -1/4 (* (pow x 2) (- (* -1/12 (pow x 3)) (* -1/8 (pow x 3))))) (* 1/96 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (pow x 3) (pow y 2))) (+ (* -1/2880 (/ (pow x 7) (pow y 6))) (+ (* 1/96 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (* (pow x 4) (- (* -1/12 (pow x 3)) (* -1/8 (pow x 3)))) (pow y 6))))))))) y)) |
(- (* 1/6 (/ (pow x 2) (pow y 2))) (+ 1 (+ (* 1/24 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (pow x 2) (pow y 2)))))) |
(- (+ (* -1/120 (/ (pow x 4) (pow y 4))) (* 1/6 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/6 (pow x 2)) (+ (* 1/24 (pow x 2)) (* 1/4 (pow x 2))))) (* x (pow y 4)))) (+ (* -1/48 (/ (pow x 4) (pow y 4))) (+ (* -1/96 (/ (pow x 4) (pow y 4))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 1/24 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (pow x 2) (pow y 2)))))))))) |
(- (+ (* -1/120 (/ (pow x 4) (pow y 4))) (+ (* 1/5040 (/ (pow x 6) (pow y 6))) (* 1/6 (/ (pow x 2) (pow y 2))))) (+ 1 (+ (* -1 (/ (* (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (- (* 1/6 (pow x 2)) (+ (* 1/24 (pow x 2)) (* 1/4 (pow x 2))))) (* x (pow y 6)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/120 (pow x 4)) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/6 (pow x 2)) (+ (* 1/24 (pow x 2)) (* 1/4 (pow x 2))))) x)) (+ (* -1/48 (pow x 4)) (+ (* -1/96 (pow x 4)) (* -1/1920 (pow x 4))))))) (* x (pow y 6)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/6 (pow x 2)) (+ (* 1/24 (pow x 2)) (* 1/4 (pow x 2))))) (* x (pow y 4)))) (+ (* -1/48 (/ (pow x 4) (pow y 4))) (+ (* -1/96 (/ (pow x 4) (pow y 4))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/7680 (/ (pow x 6) (pow y 6))) (+ (* 1/1440 (/ (pow x 6) (pow y 6))) (+ (* 1/1152 (/ (pow x 6) (pow y 6))) (+ (* 1/24 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (pow x 2) (pow y 2)))))))))))))))) |
(* -1 (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)) |
(* -1 (/ (+ 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 (/ (+ (* -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 (cos (PI))) |
#s(literal 1 binary64) |
(- (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI)))) |
#s(literal 1 binary64) |
(- (* 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)))) |
(-.f64 (*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 y y)))) x) x) #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -1 (* x (+ (* -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))))) (+ (* -1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))))))) (+ (* 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)))) |
(-.f64 (*.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/8 binary64) (neg.f64 (*.f64 y y)))) x #s(literal 0 binary64)) x) #s(literal -1 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)) |
(cos (PI)) |
#s(literal -1 binary64) |
(+ (cos (PI)) (* 1/2 (/ (* x (sin (PI))) y))) |
#s(literal -1 binary64) |
(+ (cos (PI)) (* x (- (* -1/8 (/ (* x (cos (PI))) (pow y 2))) (* -1/2 (/ (sin (PI)) y))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (neg.f64 x) y) #s(literal 0 binary64)) x #s(literal -1 binary64)) |
(+ (cos (PI)) (* x (- (* x (+ (* -1/8 (/ (cos (PI)) (pow y 2))) (* -1/48 (/ (* x (sin (PI))) (pow y 3))))) (* -1/2 (/ (sin (PI)) y))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #s(literal -1 binary64)) |
(PI) |
(PI.f64) |
(+ (PI) (* -1/2 (/ x y))) |
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)) |
(cos (* 2 (PI))) |
#s(literal 1 binary64) |
(+ (cos (* 2 (PI))) (* -1/2 (/ (* x (sin (* 2 (PI)))) y))) |
#s(literal 1 binary64) |
(+ (cos (* 2 (PI))) (* x (- (* -1/8 (/ (* x (cos (* 2 (PI)))) (pow y 2))) (* 1/2 (/ (sin (* 2 (PI))) y))))) |
(fma.f64 (fma.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1/8 binary64) #s(literal 0 binary64)) x #s(literal 1 binary64)) |
(+ (cos (* 2 (PI))) (* x (- (* x (+ (* -1/8 (/ (cos (* 2 (PI))) (pow y 2))) (* 1/48 (/ (* x (sin (* 2 (PI)))) (pow y 3))))) (* 1/2 (/ (sin (* 2 (PI))) y))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #s(literal 1 binary64)) |
(/ 1 (cos (* 2 (PI)))) |
#s(literal 1 binary64) |
(+ (* 1/2 (/ (* x (sin (* 2 (PI)))) (* y (pow (cos (* 2 (PI))) 2)))) (/ 1 (cos (* 2 (PI))))) |
#s(literal 1 binary64) |
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (cos (* 2 (PI)))))) (* -1/4 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 2) (pow (cos (* 2 (PI))) 3)))))) (* -1/2 (/ (sin (* 2 (PI))) (* y (pow (cos (* 2 (PI))) 2)))))) (/ 1 (cos (* 2 (PI))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64))) #s(literal 0 binary64)) x #s(literal 0 binary64)) x #s(literal 1 binary64)) |
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (sin (* 2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (cos (* 2 (PI)))))) (* -1/4 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 2) (pow (cos (* 2 (PI))) 3)))))) (* y (cos (* 2 (PI)))))) (+ (* -1/16 (/ (sin (* 2 (PI))) (* (pow y 3) (pow (cos (* 2 (PI))) 2)))) (* 1/48 (/ (sin (* 2 (PI))) (* (pow y 3) (pow (cos (* 2 (PI))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (cos (* 2 (PI))))))) (* -1/4 (/ (pow (sin (* 2 (PI))) 2) (* (pow y 2) (pow (cos (* 2 (PI))) 3)))))) (* -1/2 (/ (sin (* 2 (PI))) (* y (pow (cos (* 2 (PI))) 2)))))) (/ 1 (cos (* 2 (PI))))) |
(fma.f64 (*.f64 (fma.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64))) #s(literal 0 binary64) #s(literal 0 binary64)) y) #s(literal -1/2 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64)))) x) x #s(literal 1 binary64)) |
(* 2 (PI)) |
(*.f64 (PI.f64) #s(literal 2 binary64)) |
(+ (* 1/2 (/ x y)) (* 2 (PI))) |
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* -1/8 (/ (pow x 2) (pow y 2))) 1) |
(-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y)) #s(literal 1 binary64)) |
(- (* (pow x 2) (- (* -5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))) 1) |
(-.f64 (*.f64 (fma.f64 #s(literal -5/384 binary64) (/.f64 (*.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)) |
(- (* (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) |
(-.f64 (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -61/46080 binary64) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.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)) |
(* x (- (* -1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x) |
(* x (- (* (pow x 2) (- (* -1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)) (/.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)))) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) (pow.f64 y #s(literal 7 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 x x)) (/.f64 #s(literal 1/2 binary64) y)) x) |
(- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* 269/64512 (/ 1 (pow y 6))) (* 443/80640 (/ 1 (pow y 6))))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))) 1) |
(-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -61/46080 binary64)) (*.f64 x x)) (/.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 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (* 1/6 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)) x) |
(* x (- (* (pow x 2) (+ (* -1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) x) |
(* x (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
(*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 x x)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) x) |
(+ (PI) (* 1/2 (/ x y))) |
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/48 binary64) (/.f64 #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)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/3840 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/645120 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x) |
(+ 1 (* -1/2 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2)))))) |
(fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 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)))))) |
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(* -1 (/ (- (+ (* -1/12 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/8 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (fma.f64 (/.f64 #s(literal -1/12 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (neg.f64 y)) |
(* -1 (/ (- (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/12 (pow x 3)) (* -1/8 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (pow x 3) (pow y 2))) (* 1/96 (/ (pow x 5) (pow y 4)))))) y)) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/12 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 1/240 binary64) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal 1/96 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y)) |
(* -1 (/ (- (+ (* -1/12 (/ (pow x 3) (pow y 2))) (+ (* -1/10080 (/ (pow x 7) (pow y 6))) (+ (* 1/240 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/12 (pow x 3)) (* -1/8 (pow x 3)))) (pow y 4))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/240 (pow x 5)) (+ (* -1/4 (* (pow x 2) (- (* -1/12 (pow x 3)) (* -1/8 (pow x 3))))) (* 1/96 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (pow x 3) (pow y 2))) (+ (* -1/2880 (/ (pow x 7) (pow y 6))) (+ (* 1/96 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (* (pow x 4) (- (* -1/12 (pow x 3)) (* -1/8 (pow x 3)))) (pow y 6))))))))) y)) |
(/.f64 (-.f64 (fma.f64 #s(literal -1/10080 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/12 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 1/240 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (fma.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/240 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/96 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2880 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/48 binary64) (/.f64 (*.f64 #s(literal 1/96 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))))))) (neg.f64 y)) |
(- (* 1/6 (/ (pow x 2) (pow y 2))) (+ 1 (+ (* 1/24 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (pow x 2) (pow y 2)))))) |
(-.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (*.f64 x x) y)) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 7/24 binary64) #s(literal 1 binary64))) |
(- (+ (* -1/120 (/ (pow x 4) (pow y 4))) (* 1/6 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/6 (pow x 2)) (+ (* 1/24 (pow x 2)) (* 1/4 (pow x 2))))) (* x (pow y 4)))) (+ (* -1/48 (/ (pow x 4) (pow y 4))) (+ (* -1/96 (/ (pow x 4) (pow y 4))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 1/24 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (pow x 2) (pow y 2)))))))))) |
(-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (*.f64 x x) y) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/120 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64)) (fma.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x)) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/32 binary64) (fma.f64 #s(literal -1/1920 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 7/24 binary64)) (*.f64 y y)))))) |
(- (+ (* -1/120 (/ (pow x 4) (pow y 4))) (+ (* 1/5040 (/ (pow x 6) (pow y 6))) (* 1/6 (/ (pow x 2) (pow y 2))))) (+ 1 (+ (* -1 (/ (* (+ (* -1/48 (pow x 5)) (+ (* -1/96 (pow x 5)) (* -1/1920 (pow x 5)))) (- (* 1/6 (pow x 2)) (+ (* 1/24 (pow x 2)) (* 1/4 (pow x 2))))) (* x (pow y 6)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* -1/120 (pow x 4)) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/6 (pow x 2)) (+ (* 1/24 (pow x 2)) (* 1/4 (pow x 2))))) x)) (+ (* -1/48 (pow x 4)) (+ (* -1/96 (pow x 4)) (* -1/1920 (pow x 4))))))) (* x (pow y 6)))) (+ (* -1 (/ (* (+ (* 1/24 (pow x 3)) (* 1/4 (pow x 3))) (- (* 1/6 (pow x 2)) (+ (* 1/24 (pow x 2)) (* 1/4 (pow x 2))))) (* x (pow y 4)))) (+ (* -1/48 (/ (pow x 4) (pow y 4))) (+ (* -1/96 (/ (pow x 4) (pow y 4))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/7680 (/ (pow x 6) (pow y 6))) (+ (* 1/1440 (/ (pow x 6) (pow y 6))) (+ (* 1/1152 (/ (pow x 6) (pow y 6))) (+ (* 1/24 (/ (pow x 2) (pow y 2))) (* 1/4 (/ (pow x 2) (pow y 2)))))))))))))))) |
(-.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/5040 binary64) (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (*.f64 x x) y) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/120 binary64)) (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64)) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -61/1920 binary64)) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/120 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -61/1920 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64))) (neg.f64 x)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64))))) (*.f64 (pow.f64 y #s(literal 6 binary64)) x)) (fma.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 7/24 binary64)) x)) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/32 binary64) (fma.f64 #s(literal -1/1920 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 43/322560 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/640 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 7/24 binary64)) (*.f64 y y))))))))) |
(* -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) x) (neg.f64 y)) |
(* -1 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/120 binary64) (fma.f64 (/.f64 #s(literal -1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) x)) (neg.f64 y)) |
(* -1 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y)) |
(/.f64 (+.f64 (fma.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/120 binary64) (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) x)) (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 (/.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 (/ (+ (* -1/2 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 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/645120 binary64) (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)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 196 |
| 0 | 67 | 181 |
| 1 | 211 | 177 |
| 2 | 1354 | 177 |
| 0 | 8472 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
(cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)) |
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) |
(/.f64 x (*.f64 #s(literal -2 binary64) y)) |
(*.f64 #s(literal -2 binary64) y) |
(/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) |
(/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(sin.f64 (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(cos.f64 (/.f64 x y)) |
| Outputs |
|---|
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (PI.f64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (*.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)))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (+.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) (cos.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (PI.f64)))) (-.f64 (cos.f64 (-.f64 (*.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))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64))) (cos.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (PI.f64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64)))))) |
(neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(fma.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (PI.f64)))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (PI.f64)))) (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (PI.f64)))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (PI.f64)))))) |
(fma.f64 (sin.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) #s(literal 0 binary64) (*.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) #s(literal 0 binary64) (*.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))) #s(literal 1 binary64))) |
(fma.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) |
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(cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (fma.f64 #s(literal 2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))))) |
(cos.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))) |
(cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))) |
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(+.f64 (*.f64 (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) #s(literal 0 binary64)) (*.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) #s(literal 1 binary64))) |
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#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))))) |
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(pow.f64 (exp.f64 (log.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))) |
(neg.f64 (pow.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))) #s(literal -1 binary64)))) |
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(/.f64 (fma.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (neg.f64 y) (*.f64 (-.f64 (PI.f64) (PI.f64)) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (-.f64 (PI.f64) (PI.f64)) (neg.f64 y))) |
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(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) |
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) |
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(tan.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) |
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(+.f64 (*.f64 (sin.f64 (/.f64 (neg.f64 x) y)) #s(literal 0 binary64)) (cos.f64 (/.f64 x y))) |
(+.f64 (*.f64 (sin.f64 (/.f64 x y)) #s(literal 0 binary64)) (cos.f64 (/.f64 x y))) |
(+.f64 (cos.f64 (/.f64 x y)) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y)))) |
Compiled 20 550 to 2 834 computations (86.2% saved)
49 alts after pruning (42 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 506 | 30 | 536 |
| Fresh | 5 | 12 | 17 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 512 | 49 | 561 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 5.5% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 4.9% | (/.f64 (/.f64 (*.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64)))) (*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64)) (cos.f64 (/.f64 x y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 4.4% | (/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 4.6% | (/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 5.4% | (/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (-.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))))))) | |
| 5.4% | (/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (-.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))))) | |
| 6.0% | (/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 5.5% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (neg.f64 x) y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 5.4% | (/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (PI.f64))))) | |
| ✓ | 47.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 47.1% | (/.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)))) | |
| 5.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (-.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))))))) | |
| 5.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (-.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))))) | |
| ✓ | 4.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 4.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (cos.f64 (/.f64 (+.f64 (/.f64 x y) (neg.f64 (PI.f64))) #s(literal -2 binary64)))) | |
| 39.3% | (/.f64 #s(approx (tan (/ x (* y 2))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 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))) | |
| 4.9% | #s(approx (/ (/ (sin (/ (neg x) y)) (+ 1 (cos (/ x y)))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) | |
| ▶ | 7.1% | #s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64)) |
| ✓ | 50.2% | #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))) |
| 54.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 54.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 58.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))))) | |
| 58.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))))))) | |
| ▶ | 58.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))))) |
| 6.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))) (*.f64 (sin.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))))))) | |
| 57.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) #s(literal 2 binary64))) (cos.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))))) | |
| 57.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))) | |
| ▶ | 58.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))))) |
| 57.9% | #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)))))) | |
| 58.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| 58.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (fma.f64 #s(literal 2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))))) | |
| ▶ | 58.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))) |
| 57.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) | |
| 57.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (fma.f64 (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) y (*.f64 (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) y))))) | |
| 57.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) | |
| ✓ | 57.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))))) |
| 57.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64))))) | |
| 55.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (PI.f64))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (PI.f64)) #s(literal 2 binary64))) (PI.f64))))) | |
| 57.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)) (PI.f64)) (PI.f64))))) | |
| ✓ | 57.6% | #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)))) |
| 52.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #s(literal 1 binary64))))) | |
| 57.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))))))) | |
| 57.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))))) | |
| 57.8% | #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) (/.f64 (PI.f64) #s(literal 2 binary64))))))) | |
| 58.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))))) | |
| 58.5% | #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))))) | |
| ✓ | 58.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) |
| 55.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))))) | |
| ✓ | 56.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 3 011 to 1 860 computations (38.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 2 | (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) | |
| cost-diff | 4 | (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) | |
| cost-diff | 4 | (fma.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) | |
| cost-diff | 7 | (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) | |
| 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 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 6 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))) | |
| cost-diff | 1 | (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) | |
| cost-diff | 5 | (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) | |
| cost-diff | 0 | #s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64)) | |
| cost-diff | 2 | (sin.f64 (neg.f64 (PI.f64))) | |
| cost-diff | 2 | (-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))) | |
| cost-diff | 3 | (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) | |
| cost-diff | 7 | (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 507 |
| 0 | 98 | 429 |
| 1 | 165 | 365 |
| 2 | 346 | 321 |
| 3 | 698 | 307 |
| 4 | 1496 | 306 |
| 5 | 3786 | 306 |
| 6 | 6047 | 306 |
| 0 | 8021 | 306 |
| 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) (-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))))) |
#s(literal 1 binary64) |
(-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))) |
(*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) |
#s(literal -1 binary64) |
(cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(PI.f64) |
(*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))) |
(sin.f64 (neg.f64 (PI.f64))) |
(neg.f64 (PI.f64)) |
(neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) |
(sin.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)) |
#s(literal -1 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))) |
(/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))) |
#s(literal 1 binary64) |
(sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) |
(neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.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 (neg.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 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
(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) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))))) |
#s(literal 1 binary64) |
(fma.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) |
(cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(PI.f64) |
(cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) |
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(neg.f64 (sqrt.f64 (PI.f64))) |
(sqrt.f64 (PI.f64)) |
(*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) |
(sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) |
(sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
(-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
#s(literal -1 binary64) |
(cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(PI.f64) |
(*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))) |
#s(literal 0 binary64) |
(sin.f64 (neg.f64 (PI.f64))) |
#s(literal 0 binary64) |
(neg.f64 (PI.f64)) |
(neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) |
(sin.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(literal -1 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
(sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(fma.f64 #s(literal -3 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#s(literal 2 binary64) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) |
(tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) 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 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
(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) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
(fma.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) |
(cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(PI.f64) |
(cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) |
#s(literal -1 binary64) |
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(neg.f64 (PI.f64)) |
(neg.f64 (sqrt.f64 (PI.f64))) |
(sqrt.f64 (PI.f64)) |
(*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) |
#s(literal 0 binary64) |
(sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) |
(sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) |
#s(literal 0 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.0 | (sqrt.f64 (PI.f64)) | |
| accuracy | 26.32384383606722 | (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) | |
| accuracy | 57.95598495418467 | (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) | |
| accuracy | 61.92199421717352 | (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) | |
| accuracy | 17.62972017620195 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) | |
| accuracy | 26.367531074902026 | (sin.f64 (/.f64 (neg.f64 x) y)) | |
| accuracy | 26.612479576046606 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 26.822066777352525 | (cos.f64 (/.f64 x y)) | |
| accuracy | 0.0234375 | (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) | |
| accuracy | 0.10546875 | (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))) | |
| accuracy | 0.125 | (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) | |
| accuracy | 26.53197577736268 | (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) | |
| accuracy | 28.1455567965605 | #s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64)) | |
| accuracy | 0.1171875 | (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) | |
| accuracy | 26.32384383606722 | (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) | |
| accuracy | 57.95598495418467 | (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) | |
| accuracy | 61.92199421717352 | (sin.f64 (neg.f64 (PI.f64))) |
| 548.0ms | 109× | 2 | valid |
| 490.0ms | 44× | 3 | valid |
| 218.0ms | 103× | 1 | valid |
Compiled 459 to 53 computations (88.5% saved)
ival-sin: 684.0ms (66.6% of total)ival-cos: 102.0ms (9.9% of total)ival-div: 76.0ms (7.4% of total)adjust: 54.0ms (5.3% of total)ival-mult: 36.0ms (3.5% of total)ival-tan: 32.0ms (3.1% of total)ival-neg: 14.0ms (1.4% of total)ival-add: 12.0ms (1.2% of total)ival-sub: 7.0ms (0.7% of total)ival-sqrt: 6.0ms (0.6% of total)ival-pi: 3.0ms (0.3% of total)exact: 1.0ms (0.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))) |
(*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) |
(-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))) |
(sin.f64 (neg.f64 (PI.f64))) |
#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64)) |
(sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) |
(neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))) |
(/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.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 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) |
(fma.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) |
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) |
(sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) |
(cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 (neg.f64 x) y)) |
(sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) |
(sqrt.f64 (PI.f64)) |
| Outputs |
|---|
(* -1 (* (sin (PI)) (sin (neg (PI))))) |
(+ (* -1 (* (sin (PI)) (sin (neg (PI))))) (* -1/2 (/ (* x (* (cos (PI)) (sin (neg (PI))))) y))) |
(+ (* -1 (* (sin (PI)) (sin (neg (PI))))) (* x (+ (* -1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y)) (* 1/8 (/ (* x (* (sin (PI)) (sin (neg (PI))))) (pow y 2)))))) |
(+ (* -1 (* (sin (PI)) (sin (neg (PI))))) (* x (+ (* -1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y)) (* x (+ (* 1/48 (/ (* x (* (cos (PI)) (sin (neg (PI))))) (pow y 3))) (* 1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2)))))))) |
(* -1 (cos (PI))) |
(+ (* -1 (cos (PI))) (* 1/2 (/ (* x (sin (PI))) y))) |
(+ (* -1 (cos (PI))) (* x (+ (* 1/8 (/ (* x (cos (PI))) (pow y 2))) (* 1/2 (/ (sin (PI)) y))))) |
(+ (* -1 (cos (PI))) (* x (+ (* 1/2 (/ (sin (PI)) y)) (* x (+ (* -1/48 (/ (* x (sin (PI))) (pow y 3))) (* 1/8 (/ (cos (PI)) (pow y 2)))))))) |
(- (* -1 (cos (PI))) (* -1 (* (sin (PI)) (sin (neg (PI)))))) |
(- (+ (* -1 (cos (PI))) (* x (- (* 1/2 (/ (sin (PI)) y)) (* -1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y))))) (* -1 (* (sin (PI)) (sin (neg (PI)))))) |
(- (+ (* -1 (cos (PI))) (* x (- (+ (* 1/2 (/ (sin (PI)) y)) (* x (- (* 1/8 (/ (cos (PI)) (pow y 2))) (* 1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2)))))) (* -1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y))))) (* -1 (* (sin (PI)) (sin (neg (PI)))))) |
(- (+ (* -1 (cos (PI))) (* x (- (+ (* 1/2 (/ (sin (PI)) y)) (* x (- (+ (* 1/8 (/ (cos (PI)) (pow y 2))) (* x (- (* -1/48 (/ (sin (PI)) (pow y 3))) (* 1/48 (/ (* (cos (PI)) (sin (neg (PI)))) (pow y 3)))))) (* 1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2)))))) (* -1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y))))) (* -1 (* (sin (PI)) (sin (neg (PI)))))) |
-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 (neg (+ (PI) (* 1/2 (PI))))) |
(+ (sin (neg (+ (PI) (* 1/2 (PI))))) (* -1/2 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) y))) |
(+ (sin (neg (+ (PI) (* 1/2 (PI))))) (* x (+ (* -1/2 (/ (cos (neg (+ (PI) (* 1/2 (PI))))) y)) (* -1/8 (/ (* x (sin (neg (+ (PI) (* 1/2 (PI)))))) (pow y 2)))))) |
(+ (sin (neg (+ (PI) (* 1/2 (PI))))) (* x (+ (* -1/2 (/ (cos (neg (+ (PI) (* 1/2 (PI))))) y)) (* x (+ (* -1/8 (/ (sin (neg (+ (PI) (* 1/2 (PI))))) (pow y 2))) (* 1/48 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) (pow y 3)))))))) |
(* -1 (+ (PI) (* 1/2 (PI)))) |
(- (* -1/2 (/ x y)) (+ (PI) (* 1/2 (PI)))) |
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 (neg (+ (PI) (* 1/2 (PI)))))) |
(+ (* 1/2 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) (* y (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))) (/ 1 (sin (neg (+ (PI) (* 1/2 (PI))))))) |
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (neg (+ (PI) (* 1/2 (PI)))))))) (* -1/4 (/ (pow (cos (neg (+ (PI) (* 1/2 (PI))))) 2) (* (pow y 2) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3)))))) (* -1/2 (/ (cos (neg (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))))) (/ 1 (sin (neg (+ (PI) (* 1/2 (PI))))))) |
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (cos (neg (+ (PI) (* 1/2 (PI))))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (neg (+ (PI) (* 1/2 (PI)))))))) (* -1/4 (/ (pow (cos (neg (+ (PI) (* 1/2 (PI))))) 2) (* (pow y 2) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3)))))) (* y (sin (neg (+ (PI) (* 1/2 (PI)))))))) (+ (* -1/16 (/ (cos (neg (+ (PI) (* 1/2 (PI))))) (* (pow y 3) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))) (* 1/48 (/ (cos (neg (+ (PI) (* 1/2 (PI))))) (* (pow y 3) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (neg (+ (PI) (* 1/2 (PI))))))))) (* -1/4 (/ (pow (cos (neg (+ (PI) (* 1/2 (PI))))) 2) (* (pow y 2) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3)))))) (* -1/2 (/ (cos (neg (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))))) (/ 1 (sin (neg (+ (PI) (* 1/2 (PI))))))) |
(* -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)))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* 653/322560 (/ 1 (pow y 6))) (* 3/896 (/ 1 (pow y 6))))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))) 1) |
(* 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)))))) |
(* (sin (PI)) (sin (* -1 (PI)))) |
(+ (* 1/2 (/ (* x (* (cos (PI)) (sin (* -1 (PI))))) y)) (* (sin (PI)) (sin (* -1 (PI))))) |
(+ (* x (+ (* -1/8 (/ (* x (* (sin (PI)) (sin (* -1 (PI))))) (pow y 2))) (* 1/2 (/ (* (cos (PI)) (sin (* -1 (PI)))) y)))) (* (sin (PI)) (sin (* -1 (PI))))) |
(+ (* x (+ (* 1/2 (/ (* (cos (PI)) (sin (* -1 (PI)))) y)) (* x (+ (* -1/8 (/ (* (sin (PI)) (sin (* -1 (PI)))) (pow y 2))) (* -1/48 (/ (* x (* (cos (PI)) (sin (* -1 (PI))))) (pow y 3))))))) (* (sin (PI)) (sin (* -1 (PI))))) |
(+ (* (cos (PI)) (cos (* -1 (PI)))) (* (sin (PI)) (sin (* -1 (PI))))) |
(+ (* x (+ (* -1/2 (/ (* (cos (* -1 (PI))) (sin (PI))) y)) (* 1/2 (/ (* (cos (PI)) (sin (* -1 (PI)))) y)))) (+ (* (cos (PI)) (cos (* -1 (PI)))) (* (sin (PI)) (sin (* -1 (PI)))))) |
(+ (* x (+ (* -1/2 (/ (* (cos (* -1 (PI))) (sin (PI))) y)) (+ (* 1/2 (/ (* (cos (PI)) (sin (* -1 (PI)))) y)) (* x (+ (* -1/8 (/ (* (cos (PI)) (cos (* -1 (PI)))) (pow y 2))) (* -1/8 (/ (* (sin (PI)) (sin (* -1 (PI)))) (pow y 2)))))))) (+ (* (cos (PI)) (cos (* -1 (PI)))) (* (sin (PI)) (sin (* -1 (PI)))))) |
(+ (* x (+ (* -1/2 (/ (* (cos (* -1 (PI))) (sin (PI))) y)) (+ (* 1/2 (/ (* (cos (PI)) (sin (* -1 (PI)))) y)) (* x (+ (* -1/8 (/ (* (cos (PI)) (cos (* -1 (PI)))) (pow y 2))) (+ (* -1/8 (/ (* (sin (PI)) (sin (* -1 (PI)))) (pow y 2))) (* x (+ (* -1/48 (/ (* (cos (PI)) (sin (* -1 (PI)))) (pow y 3))) (* 1/48 (/ (* (cos (* -1 (PI))) (sin (PI))) (pow y 3))))))))))) (+ (* (cos (PI)) (cos (* -1 (PI)))) (* (sin (PI)) (sin (* -1 (PI)))))) |
(sin (PI)) |
(+ (sin (PI)) (* 1/2 (/ (* x (cos (PI))) y))) |
(+ (sin (PI)) (* x (+ (* -1/8 (/ (* x (sin (PI))) (pow y 2))) (* 1/2 (/ (cos (PI)) y))))) |
(+ (sin (PI)) (* x (+ (* 1/2 (/ (cos (PI)) y)) (* x (+ (* -1/8 (/ (sin (PI)) (pow y 2))) (* -1/48 (/ (* x (cos (PI))) (pow y 3)))))))) |
(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))))) |
(PI) |
(+ (PI) (* 1/2 (/ x y))) |
(* 1/2 (PI)) |
(+ (* 1/2 (PI)) (* 1/2 (/ x y))) |
(+ (PI) (* 1/2 (PI))) |
(+ (PI) (+ (* 1/2 (PI)) (* 1/2 (/ x y)))) |
(* 1/2 (/ x y)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* -1 (/ 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))) |
(* -1 (* (sin (neg (PI))) (sin (+ (PI) (* 1/2 (/ x y)))))) |
(* -1 (cos (+ (PI) (* 1/2 (/ x y))))) |
(- (* -1 (cos (+ (PI) (* 1/2 (/ x y))))) (* -1 (* (sin (neg (PI))) (sin (+ (PI) (* 1/2 (/ x y))))))) |
(/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (sin (* 1/2 (/ x y))))) |
(sin (neg (+ (PI) (+ (* 1/2 (PI)) (* 1/2 (/ x y)))))) |
(* x (- (* -1 (/ (+ (PI) (* 1/2 (PI))) x)) (* 1/2 (/ 1 y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (sin (neg (+ (PI) (+ (* 1/2 (PI)) (* 1/2 (/ x y))))))) |
(/ (- 1 (cos (/ x y))) (sin (* -1 (/ x y)))) |
(/ (- 1 (cos (/ x y))) (* (sin (* -1 (/ x y))) (sin (* 1/2 (/ x y))))) |
(- 1 (cos (/ x y))) |
(cos (/ x y)) |
(* (sin (* -1 (PI))) (sin (+ (PI) (* 1/2 (/ x y))))) |
(+ (* (cos (* -1 (PI))) (cos (+ (PI) (* 1/2 (/ x y))))) (* (sin (* -1 (PI))) (sin (+ (PI) (* 1/2 (/ x y)))))) |
(sin (+ (PI) (* 1/2 (/ x y)))) |
(cos (+ (PI) (* 1/2 (/ x y)))) |
(* x (+ (* 1/2 (/ 1 y)) (/ (PI) x))) |
(* x (+ (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))) |
(* x (+ (* 1/2 (/ (PI) x)) (+ (* 1/2 (/ 1 y)) (/ (PI) x)))) |
(sin (* 1/2 (/ x y))) |
(sin (* -1 (/ x y))) |
(* -1 (* (sin (neg (PI))) (sin (- (PI) (* -1/2 (/ x y)))))) |
(* -1 (cos (- (PI) (* -1/2 (/ x y))))) |
(- (* -1 (cos (- (PI) (* -1/2 (/ x y))))) (* -1 (* (sin (neg (PI))) (sin (- (PI) (* -1/2 (/ x y))))))) |
(sin (- (* -1/2 (/ x y)) (+ (PI) (* 1/2 (PI))))) |
(* -1 (* x (+ (* 1/2 (/ (PI) x)) (+ (* 1/2 (/ 1 y)) (/ (PI) x))))) |
(/ 1 (sin (- (* -1/2 (/ x y)) (+ (PI) (* 1/2 (PI)))))) |
(* (sin (* -1 (PI))) (sin (- (PI) (* -1/2 (/ x y))))) |
(+ (* (cos (* -1 (PI))) (cos (- (PI) (* -1/2 (/ x y))))) (* (sin (* -1 (PI))) (sin (- (PI) (* -1/2 (/ x y)))))) |
(sin (- (PI) (* -1/2 (/ x y)))) |
(cos (- (PI) (* -1/2 (/ x y)))) |
(* -1 (* x (- (* -1 (/ (PI) x)) (* 1/2 (/ 1 y))))) |
(* -1 (* x (- (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ (PI) (* 1/2 (PI))) x)) (* 1/2 (/ 1 y))))) |
(/ (- (* -1 (* y (+ (PI) (* 1/2 (PI))))) (* 1/2 x)) y) |
(/ (+ (* 1/2 x) (* y (PI))) y) |
(/ (+ (* 1/2 x) (* 1/2 (* y (PI)))) y) |
(/ (+ (* 1/2 x) (* y (+ (PI) (* 1/2 (PI))))) y) |
(+ (* -1 (* (sin (PI)) (sin (neg (PI))))) (+ (* -1/2 (/ (* x (* (cos (PI)) (sin (neg (PI))))) y)) (* 1/8 (/ (* (pow x 2) (* (sin (PI)) (sin (neg (PI))))) (pow y 2))))) |
(+ (* -1 (* (sin (PI)) (sin (neg (PI))))) (+ (* -1/2 (/ (* x (* (cos (PI)) (sin (neg (PI))))) y)) (+ (* 1/48 (/ (* (pow x 3) (* (cos (PI)) (sin (neg (PI))))) (pow y 3))) (* 1/8 (/ (* (pow x 2) (* (sin (PI)) (sin (neg (PI))))) (pow y 2)))))) |
(+ (* -1 (cos (PI))) (+ (* 1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2))) (* 1/2 (/ (* x (sin (PI))) y)))) |
(+ (* -1 (cos (PI))) (+ (* -1/48 (/ (* (pow x 3) (sin (PI))) (pow y 3))) (+ (* 1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2))) (* 1/2 (/ (* x (sin (PI))) y))))) |
(- (+ (* -1 (cos (PI))) (* 1/2 (/ (* x (sin (PI))) y))) (+ (* -1 (* (sin (PI)) (sin (neg (PI))))) (* -1/2 (/ (* x (* (cos (PI)) (sin (neg (PI))))) y)))) |
(- (+ (* -1 (cos (PI))) (+ (* 1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2))) (* 1/2 (/ (* x (sin (PI))) y)))) (+ (* -1 (* (sin (PI)) (sin (neg (PI))))) (+ (* -1/2 (/ (* x (* (cos (PI)) (sin (neg (PI))))) y)) (* 1/8 (/ (* (pow x 2) (* (sin (PI)) (sin (neg (PI))))) (pow y 2)))))) |
(- (+ (* -1 (cos (PI))) (+ (* -1/48 (/ (* (pow x 3) (sin (PI))) (pow y 3))) (+ (* 1/8 (/ (* (pow x 2) (cos (PI))) (pow y 2))) (* 1/2 (/ (* x (sin (PI))) y))))) (+ (* -1 (* (sin (PI)) (sin (neg (PI))))) (+ (* -1/2 (/ (* x (* (cos (PI)) (sin (neg (PI))))) y)) (+ (* 1/48 (/ (* (pow x 3) (* (cos (PI)) (sin (neg (PI))))) (pow y 3))) (* 1/8 (/ (* (pow x 2) (* (sin (PI)) (sin (neg (PI))))) (pow y 2))))))) |
(- (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (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)))) (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (+ 1 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (* 1/24 (/ (pow x 2) (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)))) (+ (* 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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 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))) (* 1/24 (/ (pow x 2) (pow y 2)))))))))) |
(+ (sin (neg (+ (PI) (* 1/2 (PI))))) (+ (* -1/2 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) y)) (* -1/8 (/ (* (pow x 2) (sin (neg (+ (PI) (* 1/2 (PI)))))) (pow y 2))))) |
(+ (sin (neg (+ (PI) (* 1/2 (PI))))) (+ (* -1/2 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) y)) (+ (* -1/8 (/ (* (pow x 2) (sin (neg (+ (PI) (* 1/2 (PI)))))) (pow y 2))) (* 1/48 (/ (* (pow x 3) (cos (neg (+ (PI) (* 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 (neg (+ (PI) (* 1/2 (PI))))) 2)) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3))) (* -1/8 (/ (pow x 2) (sin (neg (+ (PI) (* 1/2 (PI)))))))) (pow y 2))) (/ 1 (sin (neg (+ (PI) (* 1/2 (PI))))))) (* -1/2 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) (* y (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2))))) |
(- (+ (* -1 (/ (+ (* -1/16 (/ (* (pow x 3) (cos (neg (+ (PI) (* 1/2 (PI)))))) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2))) (+ (* 1/48 (/ (* (pow x 3) (cos (neg (+ (PI) (* 1/2 (PI)))))) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2))) (* 1/2 (/ (* x (* (cos (neg (+ (PI) (* 1/2 (PI))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (neg (+ (PI) (* 1/2 (PI))))) 2)) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3))) (* -1/8 (/ (pow x 2) (sin (neg (+ (PI) (* 1/2 (PI)))))))))) (sin (neg (+ (PI) (* 1/2 (PI))))))))) (pow y 3))) (/ 1 (sin (neg (+ (PI) (* 1/2 (PI))))))) (+ (* -1/2 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) (* y (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (neg (+ (PI) (* 1/2 (PI))))) 2)) (* (pow y 2) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3)))) (* -1/8 (/ (pow x 2) (* (pow y 2) (sin (neg (+ (PI) (* 1/2 (PI))))))))))) |
(/ (- (+ (* -1/2 x) (* 1/24 (/ (pow x 3) (pow y 2)))) (* 1/12 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -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) |
(/ (- (+ (* -1/2 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) |
(- (* 1/12 (/ (pow x 2) (pow y 2))) (+ 1 (* 2 (/ (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (* (pow x 2) (pow y 2)))))) |
(- (+ (* -1/360 (/ (pow x 4) (pow y 4))) (* 1/12 (/ (pow x 2) (pow y 2)))) (+ 1 (+ (* -2 (/ (* (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (- (* 1/12 (pow x 2)) (* 2 (/ (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 4)))) (+ (* 2 (/ (+ (* -1/240 (pow x 6)) (+ (* -1/288 (pow x 6)) (* -1/3840 (pow x 6)))) (* (pow x 2) (pow y 4)))) (* 2 (/ (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (* (pow x 2) (pow y 2)))))))) |
(- (+ (* -1/360 (/ (pow x 4) (pow y 4))) (+ (* 1/20160 (/ (pow x 6) (pow y 6))) (* 1/12 (/ (pow x 2) (pow y 2))))) (+ 1 (+ (* -2 (/ (* (+ (* -1/240 (pow x 6)) (+ (* -1/288 (pow x 6)) (* -1/3840 (pow x 6)))) (- (* 1/12 (pow x 2)) (* 2 (/ (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 6)))) (+ (* -2 (/ (* (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (- (* -1/360 (pow x 4)) (+ (* -2 (/ (* (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (- (* 1/12 (pow x 2)) (* 2 (/ (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (pow x 2))))) (pow x 2))) (* 2 (/ (+ (* -1/240 (pow x 6)) (+ (* -1/288 (pow x 6)) (* -1/3840 (pow x 6)))) (pow x 2)))))) (* (pow x 2) (pow y 6)))) (+ (* -2 (/ (* (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (- (* 1/12 (pow x 2)) (* 2 (/ (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (pow x 2))))) (* (pow x 2) (pow y 4)))) (+ (* 2 (/ (+ (* -1/240 (pow x 6)) (+ (* -1/288 (pow x 6)) (* -1/3840 (pow x 6)))) (* (pow x 2) (pow y 4)))) (+ (* 2 (/ (+ (* 1/645120 (pow x 8)) (+ (* 1/23040 (pow x 8)) (+ (* 1/10080 (pow x 8)) (* 1/5760 (pow x 8))))) (* (pow x 2) (pow y 6)))) (* 2 (/ (+ (* 1/48 (pow x 4)) (* 1/12 (pow x 4))) (* (pow x 2) (pow y 2))))))))))) |
(/ (- (* -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)))))) |
(+ (* -1/8 (/ (* (pow x 2) (* (sin (PI)) (sin (* -1 (PI))))) (pow y 2))) (+ (* 1/2 (/ (* x (* (cos (PI)) (sin (* -1 (PI))))) y)) (* (sin (PI)) (sin (* -1 (PI)))))) |
(+ (* -1/8 (/ (* (pow x 2) (* (sin (PI)) (sin (* -1 (PI))))) (pow y 2))) (+ (* -1/48 (/ (* (pow x 3) (* (cos (PI)) (sin (* -1 (PI))))) (pow y 3))) (+ (* 1/2 (/ (* x (* (cos (PI)) (sin (* -1 (PI))))) y)) (* (sin (PI)) (sin (* -1 (PI))))))) |
(+ (* -1/2 (/ (* x (* (cos (* -1 (PI))) (sin (PI)))) y)) (+ (* 1/2 (/ (* x (* (cos (PI)) (sin (* -1 (PI))))) y)) (+ (* (cos (PI)) (cos (* -1 (PI)))) (* (sin (PI)) (sin (* -1 (PI))))))) |
(+ (* -1/2 (/ (* x (* (cos (* -1 (PI))) (sin (PI)))) y)) (+ (* -1/8 (/ (* (pow x 2) (* (cos (PI)) (cos (* -1 (PI))))) (pow y 2))) (+ (* -1/8 (/ (* (pow x 2) (* (sin (PI)) (sin (* -1 (PI))))) (pow y 2))) (+ (* 1/2 (/ (* x (* (cos (PI)) (sin (* -1 (PI))))) y)) (+ (* (cos (PI)) (cos (* -1 (PI)))) (* (sin (PI)) (sin (* -1 (PI))))))))) |
(+ (* -1/2 (/ (* x (* (cos (* -1 (PI))) (sin (PI)))) y)) (+ (* -1/8 (/ (* (pow x 2) (* (cos (PI)) (cos (* -1 (PI))))) (pow y 2))) (+ (* -1/8 (/ (* (pow x 2) (* (sin (PI)) (sin (* -1 (PI))))) (pow y 2))) (+ (* -1/48 (/ (* (pow x 3) (* (cos (PI)) (sin (* -1 (PI))))) (pow y 3))) (+ (* 1/48 (/ (* (pow x 3) (* (cos (* -1 (PI))) (sin (PI)))) (pow y 3))) (+ (* 1/2 (/ (* x (* (cos (PI)) (sin (* -1 (PI))))) y)) (+ (* (cos (PI)) (cos (* -1 (PI)))) (* (sin (PI)) (sin (* -1 (PI))))))))))) |
(+ (sin (PI)) (+ (* -1/8 (/ (* (pow x 2) (sin (PI))) (pow y 2))) (* 1/2 (/ (* x (cos (PI))) y)))) |
(+ (sin (PI)) (+ (* -1/8 (/ (* (pow x 2) (sin (PI))) (pow y 2))) (+ (* -1/48 (/ (* (pow x 3) (cos (PI))) (pow y 3))) (* 1/2 (/ (* x (cos (PI))) 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 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y) |
(/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y) |
(/ (+ (* -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 (* (sin (PI)) (sin (neg (PI))))) (* -1 (/ (+ (* -1/8 (/ (* (pow x 2) (* (sin (PI)) (sin (neg (PI))))) y)) (* 1/2 (* x (* (cos (PI)) (sin (neg (PI))))))) y))) |
(+ (* -1 (* (sin (PI)) (sin (neg (PI))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (* (cos (PI)) (sin (neg (PI))))) y)) (* 1/8 (* (pow x 2) (* (sin (PI)) (sin (neg (PI))))))) y)) (* 1/2 (* x (* (cos (PI)) (sin (neg (PI))))))) y))) |
(+ (* -1 (cos (PI))) (* -1 (/ (+ (* -1/2 (* x (sin (PI)))) (* -1/8 (/ (* (pow x 2) (cos (PI))) y))) y))) |
(+ (* -1 (cos (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (* (pow x 3) (sin (PI))) y)) (* 1/8 (* (pow x 2) (cos (PI))))) y)) (* -1/2 (* x (sin (PI))))) y))) |
(- (+ (* -1 (cos (PI))) (* -1 (/ (- (* -1/2 (* x (sin (PI)))) (* 1/2 (* x (* (cos (PI)) (sin (neg (PI))))))) y))) (* -1 (* (sin (PI)) (sin (neg (PI)))))) |
(- (+ (* -1 (cos (PI))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (* (pow x 2) (cos (PI)))) (* 1/8 (* (pow x 2) (* (sin (PI)) (sin (neg (PI))))))) y)) (* -1/2 (* x (sin (PI))))) (* 1/2 (* x (* (cos (PI)) (sin (neg (PI))))))) y))) (* -1 (* (sin (PI)) (sin (neg (PI)))))) |
(- (+ (* -1 (cos (PI))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (* (pow x 3) (sin (PI)))) (* -1/48 (* (pow x 3) (* (cos (PI)) (sin (neg (PI))))))) y)) (* 1/8 (* (pow x 2) (cos (PI))))) (* 1/8 (* (pow x 2) (* (sin (PI)) (sin (neg (PI))))))) y)) (* -1/2 (* x (sin (PI))))) (* 1/2 (* x (* (cos (PI)) (sin (neg (PI))))))) y))) (* -1 (* (sin (PI)) (sin (neg (PI)))))) |
(- (* -2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ 1 (* 1/24 (/ (pow x 2) (pow y 2))))) |
(- (+ (* -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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (* 1/24 (/ (pow x 2) (pow y 2))))))) |
(- (+ (* -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 (+ (* -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))) (+ (* -1/1920 (/ (pow x 4) (pow y 4))) (+ (* 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))) (* 1/24 (/ (pow x 2) (pow y 2)))))))))) |
(+ (sin (neg (+ (PI) (* 1/2 (PI))))) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (neg (+ (PI) (* 1/2 (PI)))))) y)) (* 1/2 (* x (cos (neg (+ (PI) (* 1/2 (PI)))))))) y))) |
(+ (sin (neg (+ (PI) (* 1/2 (PI))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (neg (+ (PI) (* 1/2 (PI))))))) (* 1/48 (/ (* (pow x 3) (cos (neg (+ (PI) (* 1/2 (PI)))))) y))) y)) (* 1/2 (* x (cos (neg (+ (PI) (* 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 (neg (+ (PI) (* 1/2 (PI))))) 2)) (* y (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (neg (+ (PI) (* 1/2 (PI))))))))) (* 1/2 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))) y)) (/ 1 (sin (neg (+ (PI) (* 1/2 (PI))))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (cos (neg (+ (PI) (* 1/2 (PI))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (neg (+ (PI) (* 1/2 (PI))))) 2)) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3))) (* -1/8 (/ (pow x 2) (sin (neg (+ (PI) (* 1/2 (PI)))))))))) (* y (sin (neg (+ (PI) (* 1/2 (PI)))))))) (+ (* -1/48 (/ (* (pow x 3) (cos (neg (+ (PI) (* 1/2 (PI)))))) (* y (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))) (* 1/16 (/ (* (pow x 3) (cos (neg (+ (PI) (* 1/2 (PI)))))) (* y (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (neg (+ (PI) (* 1/2 (PI))))) 2)) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3))) (* -1/8 (/ (pow x 2) (sin (neg (+ (PI) (* 1/2 (PI))))))))) y)) (* 1/2 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))) y)) (/ 1 (sin (neg (+ (PI) (* 1/2 (PI))))))) |
(* -1 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/12 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -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 (/ (- (+ (* -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 (/ (+ (* -1/2 (* x (* (cos (PI)) (sin (* -1 (PI)))))) (* 1/8 (/ (* (pow x 2) (* (sin (PI)) (sin (* -1 (PI))))) y))) y)) (* (sin (PI)) (sin (* -1 (PI))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (* (sin (PI)) (sin (* -1 (PI)))))) (* -1/48 (/ (* (pow x 3) (* (cos (PI)) (sin (* -1 (PI))))) y))) y)) (* -1/2 (* x (* (cos (PI)) (sin (* -1 (PI))))))) y)) (* (sin (PI)) (sin (* -1 (PI))))) |
(+ (* -1 (/ (+ (* -1/2 (* x (* (cos (PI)) (sin (* -1 (PI)))))) (* 1/2 (* x (* (cos (* -1 (PI))) (sin (PI)))))) y)) (+ (* (cos (PI)) (cos (* -1 (PI)))) (* (sin (PI)) (sin (* -1 (PI)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (* (cos (PI)) (cos (* -1 (PI)))))) (* -1/8 (* (pow x 2) (* (sin (PI)) (sin (* -1 (PI))))))) y)) (+ (* -1/2 (* x (* (cos (PI)) (sin (* -1 (PI)))))) (* 1/2 (* x (* (cos (* -1 (PI))) (sin (PI))))))) y)) (+ (* (cos (PI)) (cos (* -1 (PI)))) (* (sin (PI)) (sin (* -1 (PI)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (* (pow x 3) (* (cos (* -1 (PI))) (sin (PI))))) (* 1/48 (* (pow x 3) (* (cos (PI)) (sin (* -1 (PI))))))) y)) (+ (* -1/8 (* (pow x 2) (* (cos (PI)) (cos (* -1 (PI)))))) (* -1/8 (* (pow x 2) (* (sin (PI)) (sin (* -1 (PI)))))))) y)) (+ (* -1/2 (* x (* (cos (PI)) (sin (* -1 (PI)))))) (* 1/2 (* x (* (cos (* -1 (PI))) (sin (PI))))))) y)) (+ (* (cos (PI)) (cos (* -1 (PI)))) (* (sin (PI)) (sin (* -1 (PI)))))) |
(+ (sin (PI)) (* -1 (/ (+ (* -1/2 (* x (cos (PI)))) (* 1/8 (/ (* (pow x 2) (sin (PI))) y))) y))) |
(+ (sin (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (PI)))) (* -1/48 (/ (* (pow x 3) (cos (PI))) y))) y)) (* -1/2 (* x (cos (PI))))) 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)) |
(* -1 (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)) |
(* -1 (/ (+ 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)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | y | @ | inf | ((* (sin (neg (PI))) (neg (sin (+ (* (/ 1/2 y) x) (PI))))) (* -1 (cos (+ (* (/ 1/2 y) x) (PI)))) (- (* -1 (cos (+ (* (/ 1/2 y) x) (PI)))) (* (sin (neg (PI))) (neg (sin (+ (* (/ 1/2 y) x) (PI)))))) (sin (neg (PI))) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (sin (neg (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)))) (neg (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (neg (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI))))) (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (/ (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) (- 1 (cos (/ x y))) (cos (/ x y)) (* (sin (+ (* (/ 1/2 y) x) (PI))) (sin (* (neg (sqrt (PI))) (sqrt (PI))))) (+ (* (cos (+ (* (/ 1/2 y) x) (PI))) (cos (* (neg (sqrt (PI))) (sqrt (PI))))) (* (sin (+ (* (/ 1/2 y) x) (PI))) (sin (* (neg (sqrt (PI))) (sqrt (PI)))))) (* (neg (sqrt (PI))) (sqrt (PI))) (cos (* (neg (sqrt (PI))) (sqrt (PI)))) (sin (+ (* (/ 1/2 y) x) (PI))) (cos (+ (* (/ 1/2 y) x) (PI))) (+ (* (/ 1/2 y) x) (PI)) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (sin (/ x (* y 2))) (sin (/ (neg x) y)) (sin (* (neg (sqrt (PI))) (sqrt (PI)))) (sqrt (PI))) |
| 9.0ms | x | @ | inf | ((* (sin (neg (PI))) (neg (sin (+ (* (/ 1/2 y) x) (PI))))) (* -1 (cos (+ (* (/ 1/2 y) x) (PI)))) (- (* -1 (cos (+ (* (/ 1/2 y) x) (PI)))) (* (sin (neg (PI))) (neg (sin (+ (* (/ 1/2 y) x) (PI)))))) (sin (neg (PI))) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (sin (neg (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)))) (neg (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (neg (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI))))) (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (/ (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) (- 1 (cos (/ x y))) (cos (/ x y)) (* (sin (+ (* (/ 1/2 y) x) (PI))) (sin (* (neg (sqrt (PI))) (sqrt (PI))))) (+ (* (cos (+ (* (/ 1/2 y) x) (PI))) (cos (* (neg (sqrt (PI))) (sqrt (PI))))) (* (sin (+ (* (/ 1/2 y) x) (PI))) (sin (* (neg (sqrt (PI))) (sqrt (PI)))))) (* (neg (sqrt (PI))) (sqrt (PI))) (cos (* (neg (sqrt (PI))) (sqrt (PI)))) (sin (+ (* (/ 1/2 y) x) (PI))) (cos (+ (* (/ 1/2 y) x) (PI))) (+ (* (/ 1/2 y) x) (PI)) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (sin (/ x (* y 2))) (sin (/ (neg x) y)) (sin (* (neg (sqrt (PI))) (sqrt (PI)))) (sqrt (PI))) |
| 8.0ms | x | @ | 0 | ((* (sin (neg (PI))) (neg (sin (+ (* (/ 1/2 y) x) (PI))))) (* -1 (cos (+ (* (/ 1/2 y) x) (PI)))) (- (* -1 (cos (+ (* (/ 1/2 y) x) (PI)))) (* (sin (neg (PI))) (neg (sin (+ (* (/ 1/2 y) x) (PI)))))) (sin (neg (PI))) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (sin (neg (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)))) (neg (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (neg (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI))))) (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (/ (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) (- 1 (cos (/ x y))) (cos (/ x y)) (* (sin (+ (* (/ 1/2 y) x) (PI))) (sin (* (neg (sqrt (PI))) (sqrt (PI))))) (+ (* (cos (+ (* (/ 1/2 y) x) (PI))) (cos (* (neg (sqrt (PI))) (sqrt (PI))))) (* (sin (+ (* (/ 1/2 y) x) (PI))) (sin (* (neg (sqrt (PI))) (sqrt (PI)))))) (* (neg (sqrt (PI))) (sqrt (PI))) (cos (* (neg (sqrt (PI))) (sqrt (PI)))) (sin (+ (* (/ 1/2 y) x) (PI))) (cos (+ (* (/ 1/2 y) x) (PI))) (+ (* (/ 1/2 y) x) (PI)) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (sin (/ x (* y 2))) (sin (/ (neg x) y)) (sin (* (neg (sqrt (PI))) (sqrt (PI)))) (sqrt (PI))) |
| 7.0ms | y | @ | -inf | ((* (sin (neg (PI))) (neg (sin (+ (* (/ 1/2 y) x) (PI))))) (* -1 (cos (+ (* (/ 1/2 y) x) (PI)))) (- (* -1 (cos (+ (* (/ 1/2 y) x) (PI)))) (* (sin (neg (PI))) (neg (sin (+ (* (/ 1/2 y) x) (PI)))))) (sin (neg (PI))) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (sin (neg (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)))) (neg (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (neg (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI))))) (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (/ (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) (- 1 (cos (/ x y))) (cos (/ x y)) (* (sin (+ (* (/ 1/2 y) x) (PI))) (sin (* (neg (sqrt (PI))) (sqrt (PI))))) (+ (* (cos (+ (* (/ 1/2 y) x) (PI))) (cos (* (neg (sqrt (PI))) (sqrt (PI))))) (* (sin (+ (* (/ 1/2 y) x) (PI))) (sin (* (neg (sqrt (PI))) (sqrt (PI)))))) (* (neg (sqrt (PI))) (sqrt (PI))) (cos (* (neg (sqrt (PI))) (sqrt (PI)))) (sin (+ (* (/ 1/2 y) x) (PI))) (cos (+ (* (/ 1/2 y) x) (PI))) (+ (* (/ 1/2 y) x) (PI)) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (sin (/ x (* y 2))) (sin (/ (neg x) y)) (sin (* (neg (sqrt (PI))) (sqrt (PI)))) (sqrt (PI))) |
| 6.0ms | x | @ | -inf | ((* (sin (neg (PI))) (neg (sin (+ (* (/ 1/2 y) x) (PI))))) (* -1 (cos (+ (* (/ 1/2 y) x) (PI)))) (- (* -1 (cos (+ (* (/ 1/2 y) x) (PI)))) (* (sin (neg (PI))) (neg (sin (+ (* (/ 1/2 y) x) (PI)))))) (sin (neg (PI))) (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) (sin (neg (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)))) (neg (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (neg (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI))))) (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (/ (/ (- 1 (cos (/ x y))) (sin (/ (neg x) y))) (sin (/ x (* y 2)))) (- 1 (cos (/ x y))) (cos (/ x y)) (* (sin (+ (* (/ 1/2 y) x) (PI))) (sin (* (neg (sqrt (PI))) (sqrt (PI))))) (+ (* (cos (+ (* (/ 1/2 y) x) (PI))) (cos (* (neg (sqrt (PI))) (sqrt (PI))))) (* (sin (+ (* (/ 1/2 y) x) (PI))) (sin (* (neg (sqrt (PI))) (sqrt (PI)))))) (* (neg (sqrt (PI))) (sqrt (PI))) (cos (* (neg (sqrt (PI))) (sqrt (PI)))) (sin (+ (* (/ 1/2 y) x) (PI))) (cos (+ (* (/ 1/2 y) x) (PI))) (+ (* (/ 1/2 y) x) (PI)) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI)) (sin (/ x (* y 2))) (sin (/ (neg x) y)) (sin (* (neg (sqrt (PI))) (sqrt (PI)))) (sqrt (PI))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1235 | 6035 |
| 1 | 4647 | 5778 |
| 0 | 8465 | 5462 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (neg (+ (PI) (* 1/2 (PI))))) 2)) (* y (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (neg (+ (PI) (* 1/2 (PI))))))))) (* 1/2 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))) y)) (/ 1 (sin (neg (+ (PI) (* 1/2 (PI))))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (cos (neg (+ (PI) (* 1/2 (PI))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (neg (+ (PI) (* 1/2 (PI))))) 2)) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3))) (* -1/8 (/ (pow x 2) (sin (neg (+ (PI) (* 1/2 (PI)))))))))) (* y (sin (neg (+ (PI) (* 1/2 (PI)))))))) (+ (* -1/48 (/ (* (pow x 3) (cos (neg (+ (PI) (* 1/2 (PI)))))) (* y (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))) (* 1/16 (/ (* (pow x 3) (cos (neg (+ (PI) (* 1/2 (PI)))))) (* y (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (neg (+ (PI) (* 1/2 (PI))))) 2)) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3))) (* -1/8 (/ (pow x 2) (sin (neg (+ (PI) (* 1/2 (PI))))))))) y)) (* 1/2 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))) y)) (/ 1 (sin (neg (+ (PI) (* 1/2 (PI))))))) |
(* -1 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/12 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -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 (/ (- (+ (* -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 (/ (+ (* -1/2 (* x (* (cos (PI)) (sin (* -1 (PI)))))) (* 1/8 (/ (* (pow x 2) (* (sin (PI)) (sin (* -1 (PI))))) y))) y)) (* (sin (PI)) (sin (* -1 (PI))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (* (sin (PI)) (sin (* -1 (PI)))))) (* -1/48 (/ (* (pow x 3) (* (cos (PI)) (sin (* -1 (PI))))) y))) y)) (* -1/2 (* x (* (cos (PI)) (sin (* -1 (PI))))))) y)) (* (sin (PI)) (sin (* -1 (PI))))) |
(+ (* -1 (/ (+ (* -1/2 (* x (* (cos (PI)) (sin (* -1 (PI)))))) (* 1/2 (* x (* (cos (* -1 (PI))) (sin (PI)))))) y)) (+ (* (cos (PI)) (cos (* -1 (PI)))) (* (sin (PI)) (sin (* -1 (PI)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (* (cos (PI)) (cos (* -1 (PI)))))) (* -1/8 (* (pow x 2) (* (sin (PI)) (sin (* -1 (PI))))))) y)) (+ (* -1/2 (* x (* (cos (PI)) (sin (* -1 (PI)))))) (* 1/2 (* x (* (cos (* -1 (PI))) (sin (PI))))))) y)) (+ (* (cos (PI)) (cos (* -1 (PI)))) (* (sin (PI)) (sin (* -1 (PI)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (* (pow x 3) (* (cos (* -1 (PI))) (sin (PI))))) (* 1/48 (* (pow x 3) (* (cos (PI)) (sin (* -1 (PI))))))) y)) (+ (* -1/8 (* (pow x 2) (* (cos (PI)) (cos (* -1 (PI)))))) (* -1/8 (* (pow x 2) (* (sin (PI)) (sin (* -1 (PI)))))))) y)) (+ (* -1/2 (* x (* (cos (PI)) (sin (* -1 (PI)))))) (* 1/2 (* x (* (cos (* -1 (PI))) (sin (PI))))))) y)) (+ (* (cos (PI)) (cos (* -1 (PI)))) (* (sin (PI)) (sin (* -1 (PI)))))) |
(+ (sin (PI)) (* -1 (/ (+ (* -1/2 (* x (cos (PI)))) (* 1/8 (/ (* (pow x 2) (sin (PI))) y))) y))) |
(+ (sin (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (PI)))) (* -1/48 (/ (* (pow x 3) (cos (PI))) y))) y)) (* -1/2 (* x (cos (PI))))) 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)) |
(* -1 (/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)) |
(* -1 (/ (+ 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)) |
| Outputs |
|---|
(* -1 (* (sin (PI)) (sin (neg (PI))))) |
#s(literal 0 binary64) |
(+ (* -1 (* (sin (PI)) (sin (neg (PI))))) (* -1/2 (/ (* x (* (cos (PI)) (sin (neg (PI))))) y))) |
(fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) x) y) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(+ (* -1 (* (sin (PI)) (sin (neg (PI))))) (* x (+ (* -1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y)) (* 1/8 (/ (* x (* (sin (PI)) (sin (neg (PI))))) (pow y 2)))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 #s(literal 0 binary64) x) y) (/.f64 #s(literal 0 binary64) y)) x #s(literal 0 binary64)) |
(+ (* -1 (* (sin (PI)) (sin (neg (PI))))) (* x (+ (* -1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y)) (* x (+ (* 1/48 (/ (* x (* (cos (PI)) (sin (neg (PI))))) (pow y 3))) (* 1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) x) #s(literal 1/48 binary64) (/.f64 #s(literal 0 binary64) (*.f64 y y))) x (/.f64 #s(literal 0 binary64) y)) x #s(literal 0 binary64)) |
(* -1 (cos (PI))) |
#s(literal 1 binary64) |
(+ (* -1 (cos (PI))) (* 1/2 (/ (* x (sin (PI))) y))) |
(fma.f64 (/.f64 (*.f64 #s(literal 0 binary64) x) y) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ (* -1 (cos (PI))) (* x (+ (* 1/8 (/ (* x (cos (PI))) (pow y 2))) (* 1/2 (/ (sin (PI)) y))))) |
(fma.f64 (fma.f64 (/.f64 (neg.f64 x) (*.f64 y y)) #s(literal 1/8 binary64) (/.f64 #s(literal 0 binary64) y)) x #s(literal 1 binary64)) |
(+ (* -1 (cos (PI))) (* x (+ (* 1/2 (/ (sin (PI)) y)) (* x (+ (* -1/48 (/ (* x (sin (PI))) (pow y 3))) (* 1/8 (/ (cos (PI)) (pow y 2)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) x) #s(literal -1/48 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) x (/.f64 #s(literal 0 binary64) y)) x #s(literal 1 binary64)) |
(- (* -1 (cos (PI))) (* -1 (* (sin (PI)) (sin (neg (PI)))))) |
#s(literal 1 binary64) |
(- (+ (* -1 (cos (PI))) (* x (- (* 1/2 (/ (sin (PI)) y)) (* -1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y))))) (* -1 (* (sin (PI)) (sin (neg (PI)))))) |
(fma.f64 (/.f64 #s(literal 0 binary64) y) x #s(literal 1 binary64)) |
(- (+ (* -1 (cos (PI))) (* x (- (+ (* 1/2 (/ (sin (PI)) y)) (* x (- (* 1/8 (/ (cos (PI)) (pow y 2))) (* 1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2)))))) (* -1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y))))) (* -1 (* (sin (PI)) (sin (neg (PI)))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 y y)) x (/.f64 #s(literal 0 binary64) y)) x #s(literal 1 binary64)) |
(- (+ (* -1 (cos (PI))) (* x (- (+ (* 1/2 (/ (sin (PI)) y)) (* x (- (+ (* 1/8 (/ (cos (PI)) (pow y 2))) (* x (- (* -1/48 (/ (sin (PI)) (pow y 3))) (* 1/48 (/ (* (cos (PI)) (sin (neg (PI)))) (pow y 3)))))) (* 1/8 (/ (* (sin (PI)) (sin (neg (PI)))) (pow y 2)))))) (* -1/2 (/ (* (cos (PI)) (sin (neg (PI)))) y))))) (* -1 (* (sin (PI)) (sin (neg (PI)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) x (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) x (/.f64 #s(literal 0 binary64) y)) x #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1/8 (/ (pow x 2) (pow y 2))) 1) |
(-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y)) #s(literal 1 binary64)) |
(- (* (pow x 2) (- (* -5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2))))) 1) |
(-.f64 (*.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)) |
(- (* (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) |
(-.f64 (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -61/46080 binary64) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) (*.f64 x x)) #s(literal 1 binary64)) |
(sin (neg (+ (PI) (* 1/2 (PI))))) |
(sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) |
(+ (sin (neg (+ (PI) (* 1/2 (PI))))) (* -1/2 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) y))) |
(fma.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) y)) #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64)))) |
(+ (sin (neg (+ (PI) (* 1/2 (PI))))) (* x (+ (* -1/2 (/ (cos (neg (+ (PI) (* 1/2 (PI))))) y)) (* -1/8 (/ (* x (sin (neg (+ (PI) (* 1/2 (PI)))))) (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 x (/.f64 (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) (*.f64 y y))) #s(literal -1/8 binary64) (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) y) #s(literal -1/2 binary64))) x (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64)))) |
(+ (sin (neg (+ (PI) (* 1/2 (PI))))) (* x (+ (* -1/2 (/ (cos (neg (+ (PI) (* 1/2 (PI))))) y)) (* x (+ (* -1/8 (/ (sin (neg (+ (PI) (* 1/2 (PI))))) (pow y 2))) (* 1/48 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) (pow y 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) y) (*.f64 (*.f64 x (/.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/48 binary64))) x (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) y) #s(literal -1/2 binary64))) x (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64)))) |
(* -1 (+ (PI) (* 1/2 (PI)))) |
(*.f64 #s(literal -3/2 binary64) (PI.f64)) |
(- (* -1/2 (/ x y)) (+ (PI) (* 1/2 (PI)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 #s(literal -3/2 binary64) (PI.f64))) |
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 #s(literal 5/384 binary64) (/.f64 (*.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) (+ (* 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 #s(literal 61/46080 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 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 (neg (+ (PI) (* 1/2 (PI)))))) |
(/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64)))) |
(+ (* 1/2 (/ (* x (cos (neg (+ (PI) (* 1/2 (PI)))))) (* y (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))) (/ 1 (sin (neg (+ (PI) (* 1/2 (PI))))))) |
(fma.f64 (*.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)))) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))))) |
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (neg (+ (PI) (* 1/2 (PI)))))))) (* -1/4 (/ (pow (cos (neg (+ (PI) (* 1/2 (PI))))) 2) (* (pow y 2) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3)))))) (* -1/2 (/ (cos (neg (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))))) (/ 1 (sin (neg (+ (PI) (* 1/2 (PI))))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) (*.f64 y y))) (*.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 y y)))) x (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) y) (pow.f64 (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64))))) x (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))))) |
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (cos (neg (+ (PI) (* 1/2 (PI))))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (neg (+ (PI) (* 1/2 (PI)))))))) (* -1/4 (/ (pow (cos (neg (+ (PI) (* 1/2 (PI))))) 2) (* (pow y 2) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3)))))) (* y (sin (neg (+ (PI) (* 1/2 (PI)))))))) (+ (* -1/16 (/ (cos (neg (+ (PI) (* 1/2 (PI))))) (* (pow y 3) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))) (* 1/48 (/ (cos (neg (+ (PI) (* 1/2 (PI))))) (* (pow y 3) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (neg (+ (PI) (* 1/2 (PI))))))))) (* -1/4 (/ (pow (cos (neg (+ (PI) (* 1/2 (PI))))) 2) (* (pow y 2) (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 3)))))) (* -1/2 (/ (cos (neg (+ (PI) (* 1/2 (PI))))) (* y (pow (sin (neg (+ (PI) (* 1/2 (PI))))) 2)))))) (/ 1 (sin (neg (+ (PI) (* 1/2 (PI))))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64)))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) (*.f64 y y))) (*.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 y y)))) (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64)))) y) (*.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal -1/24 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) (*.f64 y y))) (*.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 y y))))) x (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) y) (pow.f64 (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) #s(literal 2 binary64))))) x (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))))) |
(* -1/2 (/ x y)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(* x (- (* -1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x) |
(* x (- (* (pow x 2) (- (* -1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 x x)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x)) (/.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)))) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -17/40320 binary64) (*.f64 x x)) (pow.f64 y #s(literal 7 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 x x)) (/.f64 #s(literal 1/2 binary64) y)) x) |
(- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* 653/322560 (/ 1 (pow y 6))) (* 3/896 (/ 1 (pow y 6))))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2))))) 1) |
(-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -61/46080 binary64)) (*.f64 x x)) (/.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)) |
(* 1/2 (/ (pow x 2) (pow y 2))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y)) |
(* (pow x 2) (+ (* -1/24 (/ (pow x 2) (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x)) |
(* (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))))) |
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(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64)))) (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))) x) (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 #s(literal -1/8 binary64) (*.f64 x x)) (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64)))))) y) (-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.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)))) #s(literal 1/24 binary64)) (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 #s(literal -1/8 binary64) (*.f64 x x)) (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)))))) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal -3/2 binary64) (PI.f64))))) |
(* -1 (/ (- (+ (* -1/24 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/12 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 #s(literal 1/12 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (neg.f64 y)) |
(* -1 (/ (- (+ (* -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)) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/24 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 1/720 binary64) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/6 binary64) (fma.f64 (/.f64 #s(literal -1/12 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y)) |
(* -1 (/ (- (+ (* -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)) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/24 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/40320 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/720 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/6 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 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/240 binary64)))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/12 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (fma.f64 #s(literal -1/10080 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/120 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64))))))))) (neg.f64 y)) |
(+ (* -1 (/ (+ (* -1/2 (* x (* (cos (PI)) (sin (* -1 (PI)))))) (* 1/8 (/ (* (pow x 2) (* (sin (PI)) (sin (* -1 (PI))))) y))) y)) (* (sin (PI)) (sin (* -1 (PI))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) #s(literal 1/8 binary64)) y)) y) #s(literal -1 binary64) #s(literal 0 binary64)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (* (sin (PI)) (sin (* -1 (PI)))))) (* -1/48 (/ (* (pow x 3) (* (cos (PI)) (sin (* -1 (PI))))) y))) y)) (* -1/2 (* x (* (cos (PI)) (sin (* -1 (PI))))))) y)) (* (sin (PI)) (sin (* -1 (PI))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64)) y) #s(literal -1/48 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) #s(literal -1/8 binary64))) (neg.f64 y))) y) #s(literal -1 binary64) #s(literal 0 binary64)) |
(+ (* -1 (/ (+ (* -1/2 (* x (* (cos (PI)) (sin (* -1 (PI)))))) (* 1/2 (* x (* (cos (* -1 (PI))) (sin (PI)))))) y)) (+ (* (cos (PI)) (cos (* -1 (PI)))) (* (sin (PI)) (sin (* -1 (PI)))))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64))) y) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (* (cos (PI)) (cos (* -1 (PI)))))) (* -1/8 (* (pow x 2) (* (sin (PI)) (sin (* -1 (PI))))))) y)) (+ (* -1/2 (* x (* (cos (PI)) (sin (* -1 (PI)))))) (* 1/2 (* x (* (cos (* -1 (PI))) (sin (PI))))))) y)) (+ (* (cos (PI)) (cos (* -1 (PI)))) (* (sin (PI)) (sin (* -1 (PI)))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 0 binary64)))) y) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64)))) y) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (* (pow x 3) (* (cos (* -1 (PI))) (sin (PI))))) (* 1/48 (* (pow x 3) (* (cos (PI)) (sin (* -1 (PI))))))) y)) (+ (* -1/8 (* (pow x 2) (* (cos (PI)) (cos (* -1 (PI)))))) (* -1/8 (* (pow x 2) (* (sin (PI)) (sin (* -1 (PI)))))))) y)) (+ (* -1/2 (* x (* (cos (PI)) (sin (* -1 (PI)))))) (* 1/2 (* x (* (cos (* -1 (PI))) (sin (PI))))))) y)) (+ (* (cos (PI)) (cos (* -1 (PI)))) (* (sin (PI)) (sin (* -1 (PI)))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 0 binary64))) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/48 binary64)) #s(literal 0 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/48 binary64)) #s(literal 0 binary64))) (neg.f64 y))) y) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64)))) y) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ (sin (PI)) (* -1 (/ (+ (* -1/2 (* x (cos (PI)))) (* 1/8 (/ (* (pow x 2) (sin (PI))) y))) y))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) #s(literal 1/8 binary64)) y)) y) #s(literal -1 binary64) #s(literal 0 binary64)) |
(+ (sin (PI)) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (PI)))) (* -1/48 (/ (* (pow x 3) (cos (PI))) y))) y)) (* -1/2 (* x (cos (PI))))) y))) |
(+.f64 (/.f64 (fma.f64 (neg.f64 x) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) y)) (neg.f64 y))) (neg.f64 y)) #s(literal 0 binary64)) |
(+ (cos (PI)) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (PI))) y)) (* -1/2 (* x (sin (PI))))) y))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) 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 (*.f64 x x) #s(literal -1 binary64)) #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)) |
(* -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) x) (neg.f64 y)) |
(* -1 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y)) |
(/.f64 (+.f64 (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)))) x) (neg.f64 y)) |
(* -1 (/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y)) |
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) x) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 283 |
| 0 | 92 | 227 |
| 1 | 292 | 181 |
| 2 | 2291 | 181 |
| 0 | 8476 | 181 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))) |
(*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) |
(-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))) |
(sin.f64 (neg.f64 (PI.f64))) |
#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64)) |
(sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) |
(neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))) |
(/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.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 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) |
(fma.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) |
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))) |
(cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) |
(sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) |
(cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) |
(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 (neg.f64 x) y)) |
(sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) |
(sqrt.f64 (PI.f64)) |
| Outputs |
|---|
(*.f64 (sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 0 binary64)) |
(*.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 0 binary64)) |
(*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) |
(*.f64 #s(literal 0 binary64) (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (neg.f64 (PI.f64)) (+.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) (sin.f64 (+.f64 (neg.f64 (PI.f64)) (+.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (PI.f64)))) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (neg.f64 (PI.f64)))) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64)) |
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(/.f64 (fma.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 2 binary64) (*.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (PI.f64))) (PI.f64))) (*.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (PI.f64))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal -2 binary64) (*.f64 (fma.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))) (neg.f64 (PI.f64)))) (*.f64 (fma.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))) #s(literal -2 binary64))) |
(/.f64 (fma.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))) (PI.f64))) (*.f64 (fma.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (-.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (-.f64 (PI.f64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64)) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) |
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal -2 binary64)) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) |
(fma.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (neg.f64 (sqrt.f64 (PI.f64))) #s(literal -2 binary64)) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) |
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) |
(fma.f64 (sqrt.f64 (PI.f64)) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) |
(-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (PI.f64))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) |
(+.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) |
(+.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) |
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) |
(+.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(+.f64 (PI.f64) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(neg.f64 (sin.f64 (/.f64 x y))) |
(sin.f64 (/.f64 (neg.f64 x) y)) |
#s(literal 0 binary64) |
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (PI.f64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))) |
(pow.f64 (PI.f64) #s(literal 1/2 binary64)) |
(sqrt.f64 (PI.f64)) |
(fabs.f64 (sqrt.f64 (PI.f64))) |
(exp.f64 (/.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (/.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))) |
Compiled 33 367 to 3 895 computations (88.3% saved)
66 alts after pruning (56 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 640 | 23 | 663 |
| Fresh | 4 | 33 | 37 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 646 | 66 | 712 |
| Status | Accuracy | Program |
|---|---|---|
| 5.0% | (/.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 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 5.1% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ✓ | 5.5% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 4.4% | (/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 4.6% | (/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 5.4% | (/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (-.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))))))) | |
| 5.4% | (/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (-.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))))) | |
| 6.0% | (/.f64 (/.f64 (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 5.4% | (/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (PI.f64))))) | |
| ✓ | 47.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 47.1% | (/.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)))) | |
| 5.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (-.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))))))) | |
| 5.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (-.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))))) | |
| ✓ | 4.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 4.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (cos.f64 (/.f64 (+.f64 (/.f64 x y) (neg.f64 (PI.f64))) #s(literal -2 binary64)))) | |
| 39.3% | (/.f64 #s(approx (tan (/ x (* y 2))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/24 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 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))) | |
| ✓ | 7.1% | #s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64)) |
| ✓ | 50.2% | #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))) |
| 54.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 54.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 58.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))))) | |
| 58.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (+.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))))) | |
| 57.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (+.f64 (neg.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))))) | |
| 57.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))))) | |
| 58.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (PI.f64))))))))) | |
| 58.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))))) | |
| 58.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) #s(literal -1 binary64) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))))) | |
| 6.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))) (*.f64 (sin.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))))))) | |
| 56.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))))) | |
| 54.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos (+ (* (/ 1/2 y) x) (PI))) #s(literal -1 binary64)) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))))) | |
| 57.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) #s(literal 2 binary64))) (cos.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))))) | |
| 57.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64))) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64)) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))))) | |
| 56.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) (sin.f64 (+.f64 (+.f64 (neg.f64 (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))) #s(literal 2 binary64)) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))))) | |
| 57.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (PI.f64) (neg.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))) (cos.f64 (-.f64 (PI.f64) (neg.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))))) #s(literal 2 binary64)) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))))) | |
| 57.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (cos.f64 (-.f64 (neg.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))))) | |
| 57.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))) | |
| 58.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (neg.f64 (PI.f64)))) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64))))) | |
| 58.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))))))) | |
| 56.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))))) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))))) | |
| 57.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))))) | |
| 58.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (neg.f64 (+.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))))) | |
| 58.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))))) | |
| 57.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))))) | |
| 54.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (* -1 (cos (+ (* (/ 1/2 y) x) (PI)))) #s(literal 1 binary64)) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))))) | |
| 57.9% | #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)))))) | |
| 58.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| 58.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (fma.f64 #s(literal 2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))))) | |
| ✓ | 58.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))) |
| 58.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (neg (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI))) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 #s(literal -3/2 binary64) (PI.f64))))))) | |
| 57.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) | |
| 57.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (fma.f64 (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) y (*.f64 (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) y))))) | |
| 57.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) | |
| ✓ | 57.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))))) |
| 57.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64))))) | |
| 55.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (PI.f64))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (PI.f64)) #s(literal 2 binary64))) (PI.f64))))) | |
| 57.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)) (PI.f64)) (PI.f64))))) | |
| ✓ | 57.6% | #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)))) |
| 52.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #s(literal 1 binary64))))) | |
| 57.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))))))) | |
| 57.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))))) | |
| 57.8% | #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) (/.f64 (PI.f64) #s(literal 2 binary64))))))) | |
| 58.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))))) | |
| 58.5% | #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))))) | |
| ✓ | 58.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64))))) |
| 55.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))))) | |
| ✓ | 56.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 5 236 to 1 963 computations (62.5% saved)
| Inputs |
|---|
#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)))) #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)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #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 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x 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 (*.f64 #s(literal 1/2 binary64) x) y)))) |
#s(approx (/ (tan (/ x (* y 2))) (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) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (PI.f64)) (PI.f64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal 2 binary64) (PI.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 (neg (+ (+ (* (/ 1/2 y) x) (/ (PI) 2)) (PI))) (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (*.f64 #s(literal -3/2 binary64) (PI.f64))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)) (PI.f64)) (PI.f64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x 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) (/.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))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (fma.f64 #s(literal 2 binary64) (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64)))))) |
(/.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))) |
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(/.f64 (tan.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 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 (/.f64 x 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))) (cos.f64 (/.f64 (+.f64 (/.f64 x y) (neg.f64 (PI.f64))) #s(literal -2 binary64)))) |
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))))))) |
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (+.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (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))))) |
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(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (neg.f64 x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (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 (neg.f64 x) 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) (fma.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) #s(literal -1 binary64) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (fma.f64 (+.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) y (*.f64 (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 (PI.f64) (PI.f64) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) y))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))) (/.f64 (-.f64 (cos.f64 (-.f64 (neg.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (neg.f64 (PI.f64)))) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (cos (+ (* (/ 1/2 y) x) (PI))) #s(literal -1 binary64)) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (PI.f64))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) (PI.f64)) #s(literal 2 binary64))) (PI.f64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (neg.f64 x) y))) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (cos.f64 (+.f64 (PI.f64) (neg.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))) (cos.f64 (-.f64 (PI.f64) (neg.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))))) #s(literal 2 binary64)) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64))) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64)) (*.f64 (sin.f64 (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (+.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))))) |
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (+.f64 (neg.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))))) |
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(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (-.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))))) |
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(/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (-.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (PI.f64))))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))) (cos.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))) (*.f64 (sin.f64 (/.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) #s(literal 2 binary64)) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))) (sin.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) (PI.f64)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (PI.f64) (-.f64 (PI.f64) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (pow.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))))) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))))) |
(/.f64 (/.f64 (*.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 3 binary64)))) (*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64)) (cos.f64 (/.f64 x 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) (fma.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (cos.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (cos.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))) (*.f64 (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64))) (sin.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64)))))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal -2 binary64) y))) (-.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)))))))) |
(/.f64 (/.f64 (sin.f64 (/.f64 (neg.f64 x) y)) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (-.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (cos.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (cbrt.f64 (PI.f64))))))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (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)))) #s(literal -1 binary64)) |
5 calls:
| 51.0ms | x |
| 24.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 24.0ms | y |
| 23.0ms | (*.f64 y #s(literal 2 binary64)) |
| 21.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.8% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 60.8% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 58.8% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 58.8% | 1 | x |
| 58.8% | 1 | y |
Compiled 23 to 21 computations (8.7% saved)
| Inputs |
|---|
#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)))) #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)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #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 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x 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 (*.f64 #s(literal 1/2 binary64) x) y)))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64)) |
5 calls:
| 31.0ms | y |
| 3.0ms | (*.f64 y #s(literal 2 binary64)) |
| 3.0ms | x |
| 3.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 3.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.6% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 57.6% | 1 | y |
| 57.6% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 57.6% | 1 | x |
| 60.3% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 23 to 21 computations (8.7% saved)
| Inputs |
|---|
#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)))) #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)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #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 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x 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)))) |
| Outputs |
|---|
#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)))) #s(literal -1 binary64)) |
1 calls:
| 2.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.3% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 5 to 5 computations (0% saved)
| Inputs |
|---|
#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)))) #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)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #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 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))))) |
| Outputs |
|---|
#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 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))))) |
#s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64)) |
5 calls:
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (*.f64 y #s(literal 2 binary64)) |
| 2.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 2.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.0% | 1 | x |
| 56.0% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 56.0% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 56.0% | 1 | y |
| 58.2% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 23 to 21 computations (8.7% saved)
| Inputs |
|---|
#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)))) #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)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (+ (+ (* (/ 1/2 y) x) (PI)) (PI))) (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #s(literal 1 binary64))))) |
| 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)))) #s(literal -1 binary64)) |
1 calls:
| 2.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.7% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 5 to 5 computations (0% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
2 calls:
| 6.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 1.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.0% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 56.0% | 1 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 18 to 13 computations (27.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 0 binary64) |
| Outputs |
|---|
#s(literal 0 binary64) |
5 calls:
| 1.0ms | y |
| 1.0ms | (*.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 | x |
| 1.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 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 | 3.839631246770618e+138 | 1.0100140516801377e+141 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 10932066532890846.0 | 18185703107738450.0 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 10932066532890846.0 | 18185703107738450.0 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.4660921320125816 | 2.6484424321127094 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.4660921320125816 | 2.6484424321127094 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 246 |
| 1 | 80 | 246 |
| 2 | 114 | 246 |
| 3 | 169 | 246 |
| 4 | 247 | 246 |
| 5 | 351 | 246 |
| 6 | 482 | 246 |
| 7 | 819 | 246 |
| 8 | 1676 | 246 |
| 9 | 3608 | 246 |
| 10 | 6707 | 246 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000164207812446024630394935062831798058477561567131293735034493939977720006578138637063419747523921612177893242453171057459200 binary64)) #s(approx (/ (tan (/ x (* y 2))) (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)))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 15000000000000000 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) x) y)))) #s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 15000000000000000 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)))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 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 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))))) #s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(literal 0 binary64) |
| Outputs |
|---|
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000164207812446024630394935062831798058477561567131293735034493939977720006578138637063419747523921612177893242453171057459200 binary64)) #s(approx (/ (tan (/ x (* y 2))) (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)))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 15000000000000000 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) x) y)))) #s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 15000000000000000 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #s(literal -1 binary64))) #s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 15000000000000000 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)))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 15000000000000000 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64))) #s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 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 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))))) #s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))) #s(literal -1 binary64))) #s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) #s(approx (/ (tan (/ (/ x y) -2)) (sin (/ x (* y 2)))) #s(literal -1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(literal 0 binary64) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 1576 |
| 1 | 1006 | 1536 |
| 2 | 4033 | 1498 |
| 0 | 8680 | 1395 |
| 0 | 491 | 3227 |
| 1 | 1540 | 3093 |
| 2 | 6130 | 3035 |
| 0 | 8235 | 2843 |
| 0 | 8 | 33 |
| 0 | 13 | 17 |
| 1 | 29 | 17 |
| 2 | 118 | 17 |
| 3 | 824 | 7 |
| 0 | 10401 | 7 |
| 0 | 37 | 193 |
| 0 | 62 | 193 |
| 1 | 174 | 193 |
| 2 | 943 | 193 |
| 0 | 8445 | 193 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 459 to 210 computations (54.2% saved)
Compiled 766 to 284 computations (62.9% saved)
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