
Time bar (total: 9.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 15.6% | 15.6% | 84.3% | 0.1% | 0% | 0% | 0% | 8 |
| 28.1% | 28.1% | 71.8% | 0.1% | 0% | 0% | 0% | 9 |
| 30.5% | 30.4% | 69.5% | 0.1% | 0% | 0% | 0% | 10 |
| 38.3% | 38.2% | 61.7% | 0.1% | 0% | 0% | 0% | 11 |
| 39.6% | 39.6% | 60.3% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 15 to 10 computations (33.3% saved)
| 1.0s | 4 009× | 1 | valid |
| 399.0ms | 4 247× | 0 | valid |
ival-tan: 440.0ms (43.2% of total)ival-sin: 245.0ms (24.1% of total)ival-div: 177.0ms (17.4% of total)adjust: 71.0ms (7% of total)ival-mult: 70.0ms (6.9% of total)ival-true: 6.0ms (0.6% of total)exact: 6.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 130 | 0 | - | 0 | - | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 129 | 0 | - | 0 | - | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 30 | 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 | |
|---|---|---|---|---|
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | sensitivity | 92 | 0 |
sin.f64 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | sensitivity | 91 | 0 |
sin.f64 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 38 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 38 | |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 38 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 38 | |
/.f64 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | u/u | 30 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 30 | |
| ↳ | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 30 | |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 30 | |
| ↳ | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 30 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 160 | 0 |
| - | 0 | 96 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 160 | 0 | 0 |
| - | 0 | 0 | 96 |
| number | freq |
|---|---|
| 0 | 96 |
| 1 | 31 |
| 2 | 129 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 58.0ms | 258× | 1 | valid |
| 18.0ms | 254× | 0 | valid |
Compiled 89 to 28 computations (68.5% saved)
ival-sin: 13.0ms (27.7% of total)ival-tan: 11.0ms (23.4% of total)ival-div: 10.0ms (21.3% of total)ival-mult: 8.0ms (17% of total)adjust: 4.0ms (8.5% 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 |
|---|---|---|
| ▶ | 42.1% | (/.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 | 7.433676281524759 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 29.27593514421514 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 29.40278101359409 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 44.0ms | 129× | 1 | valid |
| 8.0ms | 127× | 0 | valid |
Compiled 38 to 10 computations (73.7% saved)
ival-tan: 23.0ms (57.5% of total)ival-div: 6.0ms (15% of total)ival-sin: 6.0ms (15% of total)adjust: 2.0ms (5% of total)ival-mult: 2.0ms (5% 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 | |
|---|---|---|---|---|
| 7.0ms | 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 |
|---|---|---|
| ▶ | 4.5% | (/.f64 (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| ✓ | 42.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| ▶ | 35.1% | (/.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))) |
| 41.8% | (/.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)))) | |
| 41.8% | (/.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))))) | |
| 37.7% | (/.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))))) | |
| 47.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) | |
| ▶ | 53.6% | #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)))) |
| ▶ | 54.1% | #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 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 (/.f64 x #s(literal -2 binary64)) y) | |
| cost-diff | 0 | (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (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 #s(literal 1/2 binary64) y) x) | |
| cost-diff | 0 | (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 225 |
| 0 | 57 | 225 |
| 1 | 93 | 225 |
| 2 | 183 | 225 |
| 3 | 484 | 225 |
| 4 | 1535 | 222 |
| 5 | 4163 | 222 |
| 6 | 7419 | 222 |
| 0 | 8165 | 219 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 0 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(/.f64 (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 #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
(/.f64 (/.f64 x #s(literal -2 binary64)) y) |
(/.f64 x #s(literal -2 binary64)) |
x |
#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) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 0 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
(/.f64 (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 #s(literal -2 binary64)) 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 x (*.f64 #s(literal 2 binary64) y)))) |
(tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
(/.f64 (/.f64 x #s(literal -2 binary64)) y) |
(/.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
y |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y #s(literal 2 binary64)) | |
| accuracy | 7.619248971220067 | (/.f64 (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 29.27593514421514 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 29.45233022832428 | (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) | |
| accuracy | 5.81772375614414 | (/.f64 (*.f64 x x) y) | |
| accuracy | 7.433676281524759 | (/.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 | 29.40278101359409 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 32.09450553339932 | #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 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| accuracy | 0.12109375 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| accuracy | 0.20703125 | (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) | |
| accuracy | 29.405032529901742 | (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) | |
| accuracy | 29.369930982074205 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| 133.0ms | 129× | 1 | valid |
| 44.0ms | 127× | 0 | valid |
Compiled 189 to 30 computations (84.1% saved)
ival-div: 77.0ms (61% of total)ival-mult: 12.0ms (9.5% of total)ival-tan: 12.0ms (9.5% of total)adjust: 6.0ms (4.8% of total)ival-cos: 6.0ms (4.8% of total)const: 6.0ms (4.8% of total)ival-sin: 6.0ms (4.8% of total)ival-add: 2.0ms (1.6% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 (/.f64 (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 #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
(/.f64 (/.f64 x #s(literal -2 binary64)) y) |
(/.f64 x #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 x x) y) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(*.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)) |
(* 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)))) |
(* -1/2 x) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ (pow x 2) y) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(cos (* 1/2 (/ x y))) |
(* -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)))))) |
(/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3)) |
(* 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 (* -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 | |
|---|---|---|---|---|
| 20.0ms | x | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (* (/ (+ (* (/ (* 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 -2) y)) (sin (/ x (* y 2)))) (tan (/ (/ x -2) y)) (/ (/ x -2) y) (/ x -2) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ x (* y 2))) (* y 2)) |
| 7.0ms | x | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (* (/ (+ (* (/ (* 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 -2) y)) (sin (/ x (* y 2)))) (tan (/ (/ x -2) y)) (/ (/ x -2) y) (/ x -2) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ x (* y 2))) (* y 2)) |
| 6.0ms | y | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (* (/ (+ (* (/ (* 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 -2) y)) (sin (/ x (* y 2)))) (tan (/ (/ x -2) y)) (/ (/ x -2) y) (/ x -2) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ x (* y 2))) (* y 2)) |
| 5.0ms | y | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (* (/ (+ (* (/ (* 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 -2) y)) (sin (/ x (* y 2)))) (tan (/ (/ x -2) y)) (/ (/ x -2) y) (/ x -2) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ x (* y 2))) (* y 2)) |
| 4.0ms | x | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (* (/ (+ (* (/ (* 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 -2) y)) (sin (/ x (* y 2)))) (tan (/ (/ x -2) y)) (/ (/ x -2) y) (/ x -2) (sin (/ x (* y 2))) (/ (* x x) y) (sin (/ x (* y 2))) (* y 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 485 | 3193 |
| 1 | 1526 | 3061 |
| 2 | 6085 | 3003 |
| 0 | 8193 | 2813 |
| 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)) |
(* 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)))) |
(* -1/2 x) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ (pow x 2) y) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(cos (* 1/2 (/ x y))) |
(* -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)))))) |
(/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3)) |
(* 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 (* -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)) |
(* 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) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) 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))) |
(/ (pow x 2) y) |
(*.f64 x (/.f64 x y)) |
(/ 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))) |
(* -1/48 (/ (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))) |
(/ (+ (* -1/48 (pow x 3)) (* 1/2 (* x (pow y 2)))) (pow y 3)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/48 binary64))) (pow.f64 y #s(literal 3 binary64))) |
(* 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)))))) |
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(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 | 34 | 171 |
| 0 | 56 | 171 |
| 1 | 147 | 171 |
| 2 | 697 | 171 |
| 3 | 7738 | 171 |
| 0 | 8108 | 171 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 (/.f64 (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 #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
(/.f64 (/.f64 x #s(literal -2 binary64)) y) |
(/.f64 x #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 x x) y) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(*.f64 y #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 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))) |
(*.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) #s(literal -1 binary64)) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #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 (/.f64 #s(literal 1/2 binary64) y) x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #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 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #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 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64))) |
(fma.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (*.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 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.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 x y) #s(literal 1/2 binary64) (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 (/.f64 #s(literal -1/2 binary64) y) x)) |
(cos.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 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 x)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 x) y)) |
(*.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 (/.f64 #s(literal -1/2 binary64) y) x)) |
(*.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/48 binary64) y) x) (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) y) x) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) (/.f64 x y)) |
(*.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64)) y)) |
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) x) (-.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 3 binary64))) x) (-.f64 (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) (*.f64 (/.f64 (/.f64 #s(literal -1/48 binary64) y) y) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) y)) x) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 x y) #s(literal -1/48 binary64)) (*.f64 (/.f64 x y) y) (*.f64 #s(literal 1/2 binary64) y)) x) (*.f64 y y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 x y)) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1/48 binary64) y) y) (*.f64 x x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64))) (/.f64 x y)) (neg.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/48 binary64) y) y) (*.f64 x x)) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/48 binary64) y) y) (*.f64 x x)) #s(literal 3 binary64)))) (/.f64 x y)) (neg.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) y)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/96 binary64))) (*.f64 y y)) #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64)) (/.f64 x y)) (-.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/48 binary64) y) y) (*.f64 x x)) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/48 binary64) y) y) (*.f64 x x)) #s(literal 3 binary64))) (/.f64 x y)) (+.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) y)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/96 binary64))) (*.f64 y y)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 3 binary64)))) (-.f64 (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/96 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (*.f64 x (fma.f64 (neg.f64 y) (*.f64 (/.f64 (/.f64 #s(literal -1/48 binary64) y) y) (*.f64 x x)) (*.f64 #s(literal -1/2 binary64) y))) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 x (fma.f64 (*.f64 (/.f64 x y) #s(literal -1/48 binary64)) (*.f64 (/.f64 x y) y) (*.f64 #s(literal 1/2 binary64) y))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 #s(literal -1/48 binary64) (*.f64 x x))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 x (*.f64 #s(literal -1/48 binary64) (*.f64 x x))) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 x (*.f64 #s(literal -1/48 binary64) (*.f64 x x))) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
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(/.f64 (neg.f64 (sin.f64 (/.f64 x y))) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (sin.f64 (/.f64 x y))) |
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))))) |
(/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (PI.f64))) (cos.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (PI.f64)))) |
(/.f64 (sin.f64 (/.f64 x y)) (neg.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (neg.f64 (sin.f64 (/.f64 x y)))) |
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))))) |
(/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (neg.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))))) |
(/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) |
(/.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) |
(neg.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(tan.f64 (neg.f64 (-.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) |
(tan.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (PI.f64) (PI.f64))))) |
(tan.f64 (+.f64 (-.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (PI.f64)) (PI.f64))) |
(tan.f64 (-.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) (PI.f64))) |
(tan.f64 (+.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (PI.f64))) |
(tan.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x #s(literal -2 binary64)) y))) |
(tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
(+.f64 (/.f64 (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))))) |
(/.f64 (/.f64 (neg.f64 x) y) #s(literal 2 binary64)) |
(/.f64 (/.f64 x y) #s(literal -2 binary64)) |
(/.f64 (/.f64 x #s(literal 2 binary64)) (neg.f64 y)) |
(/.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (/.f64 x #s(literal -2 binary64)) y) |
(/.f64 x (*.f64 #s(literal -2 binary64) y)) |
(neg.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 (neg.f64 x) #s(literal 2 binary64)) |
(/.f64 x #s(literal -2 binary64)) |
(neg.f64 (/.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)))) |
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 x)) |
(*.f64 (/.f64 x y) x) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y)) |
(/.f64 (*.f64 x x) y) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) x)) |
(neg.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) |
(fma.f64 (sin.f64 (PI.f64)) (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (*.f64 (cos.f64 (PI.f64)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) |
(fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (PI.f64)))) |
(sin.f64 (-.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) (PI.f64))) |
(sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (PI.f64) (PI.f64)))) |
(sin.f64 (+.f64 (PI.f64) (/.f64 (/.f64 x #s(literal -2 binary64)) y))) |
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(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 y) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (/.f64 x #s(literal -2 binary64)) y))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (cos.f64 (PI.f64))) (*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (PI.f64)))) |
(+.f64 (*.f64 (sin.f64 (PI.f64)) (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) (*.f64 (cos.f64 (PI.f64)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) |
(*.f64 (neg.f64 y) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (neg.f64 y)) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (-.f64 y y)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) y)) |
(+.f64 y y) |
Compiled 10 873 to 1 390 computations (87.2% saved)
27 alts after pruning (25 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 279 | 23 | 302 |
| Fresh | 2 | 2 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 285 | 27 | 312 |
| Status | Accuracy | Program |
|---|---|---|
| 5.0% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (neg.f64 (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 4.5% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) |
| 5.1% | (/.f64 (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (PI.f64))))) | |
| 5.7% | (/.f64 (tan.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)))) | |
| 4.5% | (/.f64 (tan.f64 (/.f64 #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 41.8% | (/.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)))) |
| 4.4% | (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) | |
| 34.5% | (/.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))) | |
| 41.8% | (/.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))))) | |
| ▶ | 6.5% | #s(approx (/ (tan (/ (/ x -2) y)) (sin (/ x (* y 2)))) #s(literal -1 binary64)) |
| 49.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))) | |
| 51.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 53.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) #s(literal -1/2 binary64))) | |
| 53.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)))))) | |
| 53.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)))))))) | |
| ▶ | 54.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
| ▶ | 53.7% | #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)))))) |
| 54.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (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))))) | |
| 53.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) (PI.f64))))) | |
| 53.8% | #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)))) | |
| 53.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)) (PI.f64))))) | |
| 53.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (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))))) | |
| ✓ | 53.6% | #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)))) |
| 50.4% | #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))))) | |
| 53.9% | #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))))) | |
| 51.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal -1 binary64)))) | |
| ✓ | 54.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 1 471 to 901 computations (38.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (cos.f64 (/.f64 x y)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) | |
| cost-diff | 5 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) | |
| cost-diff | 0 | (*.f64 y #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 x (*.f64 y #s(literal 2 binary64))) | |
| cost-diff | 0 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| cost-diff | 3 | (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (tan (/ (/ x -2) y)) (sin (/ x (* y 2)))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| cost-diff | 3 | (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 275 |
| 0 | 71 | 257 |
| 1 | 102 | 252 |
| 2 | 154 | 252 |
| 3 | 231 | 252 |
| 4 | 300 | 252 |
| 5 | 453 | 252 |
| 6 | 724 | 252 |
| 7 | 1379 | 252 |
| 8 | 3116 | 252 |
| 9 | 6327 | 252 |
| 0 | 8029 | 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) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.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(literal 1 binary64) |
(sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(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) |
#s(approx (/ (tan (/ (/ x -2) y)) (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 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.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(literal 1 binary64) |
(sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
x |
y |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#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)))) |
(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))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(sin.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) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.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 |
(*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) |
(sin.f64 (/.f64 x y)) |
(sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
(/.f64 (/.f64 x #s(literal -2 binary64)) y) |
(/.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #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) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
#s(literal 1 binary64) |
(sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(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) |
#s(approx (/ (tan (/ (/ x -2) y)) (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 (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) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
#s(literal 1 binary64) |
(sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
x |
y |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
#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 (/.f64 x y) #s(literal 2 binary64))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
x |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
#s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
#s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) |
(/.f64 (tan.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.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 |
(*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) |
(*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x y))) |
(sin.f64 (/.f64 x y)) |
(sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
(/.f64 (/.f64 x #s(literal -2 binary64)) y) |
(/.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 17.783134023554158 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) | |
| accuracy | 29.201252706626 | (sin.f64 (/.f64 x y)) | |
| accuracy | 29.251207381396373 | (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) | |
| accuracy | 29.407668706526465 | (cos.f64 (/.f64 x y)) | |
| accuracy | 0.20703125 | (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) | |
| accuracy | 7.433676281524759 | (/.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)))) | |
| accuracy | 29.27593514421514 | (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) | |
| accuracy | 29.40278101359409 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 0.0 | #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)))))) | |
| accuracy | 0.12109375 | (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| accuracy | 0.192868382585185 | (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) | |
| accuracy | 29.405086601460543 | (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))) | |
| accuracy | 29.369930982074205 | #s(approx (/ (tan (/ (/ x -2) y)) (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) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| accuracy | 0.10546875 | (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) | |
| accuracy | 0.12109375 | (/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))) | |
| accuracy | 29.365400250669982 | (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))) |
| 184.0ms | 159× | 1 | valid |
| 178.0ms | 45× | 3 | valid |
| 115.0ms | 47× | 2 | valid |
| 2.0ms | 1× | 4 | valid |
| 1.0ms | 4× | 0 | valid |
Compiled 243 to 38 computations (84.4% saved)
ival-sin: 136.0ms (34.4% of total)adjust: 87.0ms (22% of total)ival-div: 75.0ms (19% of total)ival-tan: 42.0ms (10.6% of total)ival-mult: 26.0ms (6.6% of total)ival-cos: 18.0ms (4.6% of total)ival-add: 5.0ms (1.3% of total)ival-sub: 3.0ms (0.8% of total)ival-pi: 2.0ms (0.5% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(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 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) |
#s(approx (/ (tan (/ (/ x -2) y)) (sin (/ x (* y 2)))) #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 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/.f64 (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)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) |
(cos.f64 (/.f64 x y)) |
(/.f64 x y) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
(sin.f64 (/.f64 x y)) |
| Outputs |
|---|
(sin (* 1/2 (PI))) |
(+ (sin (* 1/2 (PI))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y))) |
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (cos (* 1/2 (PI))) y))))) |
(+ (sin (* 1/2 (PI))) (* x (+ (* 1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3)))))))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ 1 (sin (* 1/2 (PI)))) |
(+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI))))) |
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI))))) |
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI))))) |
(* 1/2 (PI)) |
(+ (* 1/2 (PI)) (* 1/2 (/ x 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) |
(+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y))) |
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2)))))) |
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3)))))))) |
(+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI))))) |
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI))))) |
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI))))) |
(+ (* -1/2 (/ x y)) (* 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)))))) |
(/ 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)))) |
(* -1/2 (/ 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)))) |
(* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
(sin (+ (* 1/2 (PI)) (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (sin (+ (* 1/2 (PI)) (* 1/2 (/ x y))))) |
(* x (+ (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))) |
(/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (sin (* 1/2 (/ x y))))) |
(sin (- (* 1/2 (PI)) (* 1/2 (/ x y)))) |
(/ 1 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y))))) |
(* x (- (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (- 1 (cos (/ x y))) (* (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
(- 1 (cos (/ x y))) |
(cos (/ x y)) |
(sin (* 1/2 (/ x y))) |
(sin (* -1/2 (/ x y))) |
(sin (/ x y)) |
(sin (- (* 1/2 (PI)) (* -1/2 (/ x y)))) |
(/ 1 (sin (- (* 1/2 (PI)) (* -1/2 (/ x y))))) |
(* -1 (* x (- (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))) |
(sin (+ (* -1/2 (/ x y)) (* 1/2 (PI)))) |
(/ 1 (sin (+ (* -1/2 (/ x y)) (* 1/2 (PI))))) |
(* -1 (* x (+ (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))) |
(/ (+ (* 1/2 x) (* 1/2 (* y (PI)))) y) |
(/ (+ (* -1/2 x) (* 1/2 (* y (PI)))) y) |
(* 2 y) |
(+ (sin (* 1/2 (PI))) (+ (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y)))) |
(+ (sin (* 1/2 (PI))) (+ (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))) (+ (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow y 3))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y))))) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
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(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
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(- (* 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)))))) |
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(/ (- (* -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)))))) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(/ (+ (* -1/2 x) (* 1/48 (/ (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))))) 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)))))) y) |
(/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y) |
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y) |
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y) |
(+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1/2 (* x (cos (* 1/2 (PI))))) (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y))) y))) |
(+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (* 1/2 (PI))))) (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* -1/2 (* x (cos (* 1/2 (PI)))))) y))) |
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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))))) |
(- (+ (* -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 (* 1/2 (PI))) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y))) |
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(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* y (pow (sin (* 1/2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (* 1/2 (PI))))))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (* 1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI))))))) y)) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI))))) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (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)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) 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)))) y)) |
(* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | y | @ | -inf | ((sin (+ (* (/ 1/2 y) x) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ 1/2 y) x) (/ (PI) 2)))) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (/ (tan (/ (/ x -2) y)) (sin (/ x (* y 2)))) (sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ (/ x -2) y)))) (- 1 (cos (/ x y))) (cos (/ x y)) (/ x y) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (sin (/ (/ x -2) y)) (sin (/ x y))) |
| 14.0ms | y | @ | inf | ((sin (+ (* (/ 1/2 y) x) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ 1/2 y) x) (/ (PI) 2)))) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (/ (tan (/ (/ x -2) y)) (sin (/ x (* y 2)))) (sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ (/ x -2) y)))) (- 1 (cos (/ x y))) (cos (/ x y)) (/ x y) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (sin (/ (/ x -2) y)) (sin (/ x y))) |
| 6.0ms | x | @ | 0 | ((sin (+ (* (/ 1/2 y) x) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ 1/2 y) x) (/ (PI) 2)))) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (/ (tan (/ (/ x -2) y)) (sin (/ x (* y 2)))) (sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ (/ x -2) y)))) (- 1 (cos (/ x y))) (cos (/ x y)) (/ x y) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (sin (/ (/ x -2) y)) (sin (/ x y))) |
| 4.0ms | x | @ | inf | ((sin (+ (* (/ 1/2 y) x) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ 1/2 y) x) (/ (PI) 2)))) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (/ (tan (/ (/ x -2) y)) (sin (/ x (* y 2)))) (sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ (/ x -2) y)))) (- 1 (cos (/ x y))) (cos (/ x y)) (/ x y) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (sin (/ (/ x -2) y)) (sin (/ x y))) |
| 3.0ms | x | @ | -inf | ((sin (+ (* (/ 1/2 y) x) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* (/ 1/2 y) x) (/ (PI) 2)))) (+ (* (/ 1/2 y) x) (/ (PI) 2)) (/ (tan (/ (/ x -2) y)) (sin (/ x (* y 2)))) (sin (+ (* -1/2 (/ x y)) (/ (PI) 2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (sin (+ (* -1/2 (/ x y)) (/ (PI) 2)))) (+ (* -1/2 (/ x y)) (/ (PI) 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ (/ x -2) y)))) (- 1 (cos (/ x y))) (cos (/ x y)) (/ x y) (sin (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (sin (/ (/ x -2) y)) (sin (/ x y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 886 | 5429 |
| 1 | 2893 | 5243 |
| 0 | 8242 | 4984 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sin (* 1/2 (PI))) |
(+ (sin (* 1/2 (PI))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y))) |
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (cos (* 1/2 (PI))) y))))) |
(+ (sin (* 1/2 (PI))) (* x (+ (* 1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3)))))))) |
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ 1 (sin (* 1/2 (PI)))) |
(+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI))))) |
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI))))) |
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI))))) |
(* 1/2 (PI)) |
(+ (* 1/2 (PI)) (* 1/2 (/ x 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) |
(+ (sin (* 1/2 (PI))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y))) |
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2)))))) |
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* 1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3)))))))) |
(+ (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI))))) |
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI))))) |
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* -1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI))))) |
(+ (* -1/2 (/ x y)) (* 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)))))) |
(/ 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)))) |
(* -1/2 (/ 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)))) |
(* x (+ (* -1/6 (/ (pow x 2) (pow y 3))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (pow y 5))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (pow y 7))) (* 1/120 (/ 1 (pow y 5))))) (* 1/6 (/ 1 (pow y 3))))) (/ 1 y))) |
(sin (+ (* 1/2 (PI)) (* 1/2 (/ x y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (sin (+ (* 1/2 (PI)) (* 1/2 (/ x y))))) |
(* x (+ (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))) |
(/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (sin (* 1/2 (/ x y))))) |
(sin (- (* 1/2 (PI)) (* 1/2 (/ x y)))) |
(/ 1 (sin (- (* 1/2 (PI)) (* 1/2 (/ x y))))) |
(* x (- (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (- 1 (cos (/ x y))) (* (sin (* -1/2 (/ x y))) (sin (/ x y)))) |
(- 1 (cos (/ x y))) |
(cos (/ x y)) |
(sin (* 1/2 (/ x y))) |
(sin (* -1/2 (/ x y))) |
(sin (/ x y)) |
(sin (- (* 1/2 (PI)) (* -1/2 (/ x y)))) |
(/ 1 (sin (- (* 1/2 (PI)) (* -1/2 (/ x y))))) |
(* -1 (* x (- (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))) |
(sin (+ (* -1/2 (/ x y)) (* 1/2 (PI)))) |
(/ 1 (sin (+ (* -1/2 (/ x y)) (* 1/2 (PI))))) |
(* -1 (* x (+ (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))) |
(/ (+ (* 1/2 x) (* 1/2 (* y (PI)))) y) |
(/ (+ (* -1/2 x) (* 1/2 (* y (PI)))) y) |
(* 2 y) |
(+ (sin (* 1/2 (PI))) (+ (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y)))) |
(+ (sin (* 1/2 (PI))) (+ (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))) (+ (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow y 3))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y))))) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
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(- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))) (pow y 2))) (/ 1 (sin (* 1/2 (PI))))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2))))) |
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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))))) |
(- (+ (* 2 (/ (- (* -1/3840 (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))))))) |
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(+ (sin (* 1/2 (PI))) (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)) (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))))) |
(+ (sin (* 1/2 (PI))) (+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) y)) (+ (* -1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow y 2))) (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (pow y 3)))))) |
(- (+ (* -1 (/ (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))) (pow y 2))) (/ 1 (sin (* 1/2 (PI))))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2))))) |
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(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y) |
(- (* 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)))))) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(/ (+ (* -1/2 x) (* 1/48 (/ (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))))) 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)))))) y) |
(/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y) |
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y) |
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y) |
(+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1/2 (* x (cos (* 1/2 (PI))))) (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y))) y))) |
(+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (* 1/2 (PI))))) (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* -1/2 (* x (cos (* 1/2 (PI)))))) y))) |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* y (pow (sin (* 1/2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (* 1/2 (PI))))))) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* x (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))))) (* y (sin (* 1/2 (PI)))))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI))))))) y)) (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI))))) |
(- (* -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 (* 1/2 (PI))) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (* 1/2 (PI)))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y))) |
(+ (sin (* 1/2 (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (sin (* 1/2 (PI))))) (* 1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) y))) y)) (* 1/2 (* x (cos (* 1/2 (PI)))))) y))) |
(+ (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (* y (pow (sin (* 1/2 (PI))) 3)))) (* -1/8 (/ (pow x 2) (* y (sin (* 1/2 (PI))))))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (cos (* 1/2 (PI))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI)))))))) (* y (sin (* 1/2 (PI)))))) (+ (* -1/48 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (* 1/16 (/ (* (pow x 3) (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (+ (* -1/4 (/ (* (pow x 2) (pow (cos (* 1/2 (PI))) 2)) (pow (sin (* 1/2 (PI))) 3))) (* -1/8 (/ (pow x 2) (sin (* 1/2 (PI))))))) y)) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) (pow (sin (* 1/2 (PI))) 2)))) y)) (/ 1 (sin (* 1/2 (PI))))) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (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)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) 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)))) y)) |
(* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y)) |
| Outputs |
|---|
(sin (* 1/2 (PI))) |
(sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(+ (sin (* 1/2 (PI))) (* 1/2 (/ (* x (cos (* 1/2 (PI)))) y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) y) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(+ (sin (* 1/2 (PI))) (* x (+ (* -1/8 (/ (* x (sin (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (cos (* 1/2 (PI))) y))))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) y) #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal -1/8 binary64)) (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 y y)))) x (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(+ (sin (* 1/2 (PI))) (* x (+ (* 1/2 (/ (cos (* 1/2 (PI))) y)) (* x (+ (* -1/8 (/ (sin (* 1/2 (PI))) (pow y 2))) (* -1/48 (/ (* x (cos (* 1/2 (PI)))) (pow y 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/48 binary64) x) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 y y)) #s(literal -1/8 binary64))) x (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) y) #s(literal 1/2 binary64))) x (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/384 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(/ 1 (sin (* 1/2 (PI)))) |
(/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(+ (* -1/2 (/ (* x (cos (* 1/2 (PI)))) (* y (pow (sin (* 1/2 (PI))) 2)))) (/ 1 (sin (* 1/2 (PI))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(+ (* x (- (* x (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 y y)))) x (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) x (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1/48 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (+ (* 1/16 (/ (cos (* 1/2 (PI))) (* (pow y 3) (pow (sin (* 1/2 (PI))) 2)))) (* 1/2 (/ (* (cos (* 1/2 (PI))) (- (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI)))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* y (sin (* 1/2 (PI)))))))))) (* 1/8 (/ 1 (* (pow y 2) (sin (* 1/2 (PI))))))) (* -1/4 (/ (pow (cos (* 1/2 (PI))) 2) (* (pow y 2) (pow (sin (* 1/2 (PI))) 3)))))) (* 1/2 (/ (cos (* 1/2 (PI))) (* y (pow (sin (* 1/2 (PI))) 2)))))) (/ 1 (sin (* 1/2 (PI))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 1/24 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 y y)))) (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) y)))) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 y y) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (*.f64 y y))))) x (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) x (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(* 1/2 (PI)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(+ (* 1/2 (PI)) (* 1/2 (/ x y))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64))) |
-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 (-.f64 (/.f64 (*.f64 #s(literal -5/384 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x)) #s(literal 1 binary64)) |
(- (* (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) |
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(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) x) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal 1/24 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))))) y) #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (pow.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 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 #s(literal -1/2 binary64) x (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/24 binary64))) (neg.f64 y)) |
(* -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 (/.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))) (-.f64 (/.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))) (*.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (neg.f64 y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (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 (/.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 (pow.f64 x #s(literal 5 binary64)) #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 (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 6 binary64))) (+.f64 (/.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))) (-.f64 (/.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))) (*.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (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 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) 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 (/ (+ (* -1/48 (/ (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 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) (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 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 x))) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 x))) (neg.f64 y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 207 |
| 0 | 71 | 189 |
| 1 | 203 | 184 |
| 2 | 1285 | 184 |
| 0 | 9096 | 184 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) |
#s(approx (/ (tan (/ (/ x -2) y)) (sin (/ x (* y 2)))) #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 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sin.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/.f64 (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)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) |
(cos.f64 (/.f64 x y)) |
(/.f64 x y) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
(sin.f64 (/.f64 x y)) |
| Outputs |
|---|
(/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 (sin.f64 (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64))) (sin.f64 (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) #s(literal 0 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))))) |
(fma.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) |
(fma.f64 #s(literal 0 binary64) (sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))) |
(fma.f64 (sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))) |
(fma.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))) |
(sin.f64 (+.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y)))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y))))) |
(-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) y)) x))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) y)) x)))) |
(-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) (*.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))) |
(cos.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) |
(cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) |
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(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))) #s(literal -1 binary64)) |
(pow.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 -1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal -1 binary64)) |
(pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal -1 binary64))) |
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(/.f64 (fma.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64) (*.f64 (neg.f64 y) (neg.f64 (neg.f64 (PI.f64))))) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64) (*.f64 (neg.f64 y) (neg.f64 (PI.f64)))) (*.f64 (neg.f64 y) #s(literal -2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64) (*.f64 (neg.f64 y) (PI.f64))) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 y (neg.f64 (neg.f64 (PI.f64))))) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64) (*.f64 (neg.f64 y) (neg.f64 (neg.f64 (PI.f64))))) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64) (*.f64 (neg.f64 y) (neg.f64 (PI.f64)))) (*.f64 (neg.f64 y) #s(literal -2 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64) (*.f64 (neg.f64 y) (PI.f64))) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 y) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 (PI.f64))) y (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (fma.f64 (neg.f64 (PI.f64)) (neg.f64 y) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) (neg.f64 y))) |
(/.f64 (fma.f64 (neg.f64 (PI.f64)) (neg.f64 y) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) x))) (*.f64 #s(literal -2 binary64) (neg.f64 y))) |
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(/.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 y (PI.f64))) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (fma.f64 (neg.f64 (PI.f64)) y (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (fma.f64 (PI.f64) y (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) y)) |
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(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) y))) |
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) y)) x)) |
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(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) |
#s(approx (/ (tan (/ (/ x -2) y)) (sin (/ x (* y 2)))) #s(literal -1 binary64)) |
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(sin.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
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(cos.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(cos.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
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(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) |
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(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) #s(literal -1 binary64)) |
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
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(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))) |
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(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 x)) #s(literal -2 binary64) (*.f64 (neg.f64 y) (neg.f64 (PI.f64)))) (*.f64 (neg.f64 y) #s(literal -2 binary64))) |
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(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64) (*.f64 (neg.f64 y) (neg.f64 (neg.f64 (PI.f64))))) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal -2 binary64) (*.f64 (neg.f64 y) (neg.f64 (PI.f64)))) (*.f64 (neg.f64 y) #s(literal -2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64) (*.f64 (neg.f64 y) (PI.f64))) (*.f64 #s(literal -2 binary64) y)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64) (*.f64 y (neg.f64 (neg.f64 (PI.f64))))) (*.f64 #s(literal 2 binary64) y)) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 (PI.f64))) (neg.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal -1/2 binary64)))) (*.f64 #s(literal -2 binary64) y)) |
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(/.f64 (fma.f64 (neg.f64 (PI.f64)) (neg.f64 y) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 #s(literal -2 binary64) (neg.f64 y))) |
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(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))) |
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(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
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(cos.f64 (/.f64 (neg.f64 x) y)) |
(cos.f64 (/.f64 x y)) |
(+.f64 (*.f64 (neg.f64 (sin.f64 (/.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)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y))) |
(*.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 (neg.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 y)) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y)) |
(neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 (PI.f64)) (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (*.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 #s(literal -2 binary64)) y)) (sin.f64 (PI.f64)))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) |
(sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
(-.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (neg.f64 (PI.f64)))) (*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (neg.f64 (PI.f64))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) #s(literal 0 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #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 #s(literal -2 binary64)) y)) (sin.f64 (PI.f64)))) |
(+.f64 (*.f64 (sin.f64 (PI.f64)) (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) (*.f64 (cos.f64 (PI.f64)) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(neg.f64 (neg.f64 (sin.f64 (/.f64 x y)))) |
(sin.f64 (/.f64 x y)) |
Compiled 17 430 to 2 292 computations (86.9% saved)
55 alts after pruning (51 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 382 | 39 | 421 |
| Fresh | 8 | 12 | 20 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 393 | 55 | 448 |
| Status | Accuracy | Program |
|---|---|---|
| 6.4% | (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| 6.8% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| 41.6% | (/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| 8.8% | (/.f64 (/.f64 (sin.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) (PI.f64)))) (neg.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| 4.5% | (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) | |
| 4.9% | (/.f64 (-.f64 (pow.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) (sin.f64 (/.f64 x y))) | |
| 6.7% | (/.f64 (-.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| 4.5% | (/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) #s(literal -1 binary64)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) (*.f64 (sin.f64 (/.f64 x y)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))))) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x y)))) | |
| 4.5% | (/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) #s(literal -1 binary64)) (sin.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))))) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) | |
| 4.8% | (/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x y)))) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (cos.f64 (/.f64 x y)))) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x y))))) | |
| 4.5% | (/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))))) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) | |
| 3.9% | (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) | |
| 3.8% | (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) | |
| 4.9% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (PI.f64)))))) | |
| 4.8% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))))) | |
| ▶ | 4.5% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
| 4.5% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) #s(approx (sin (/ (/ x -2) y)) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) | |
| ▶ | 5.1% | (/.f64 (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (PI.f64))))) |
| 5.7% | (/.f64 (tan.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)))) | |
| ▶ | 4.5% | (/.f64 (tan.f64 (/.f64 #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 41.8% | (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| 6.8% | (/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| 4.4% | (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) | |
| 34.5% | (/.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))) | |
| 41.6% | (/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| 4.5% | (-.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x y))) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x y))))) | |
| 3.5% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (-.f64 (cos.f64 (/.f64 (-.f64 x (/.f64 x #s(literal -2 binary64))) y)) (cos.f64 (/.f64 (+.f64 x (/.f64 x #s(literal -2 binary64))) y)))) #s(literal 2 binary64)) | |
| 5.0% | #s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ (/ x -2) y)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (sin.f64 (/.f64 x y)))) | |
| ✓ | 6.5% | #s(approx (/ (tan (/ (/ x -2) y)) (sin (/ x (* y 2)))) #s(literal -1 binary64)) |
| ▶ | 49.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))) |
| 51.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 53.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) #s(literal -1/2 binary64))) | |
| 51.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))))))) | |
| 53.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal 4 binary64)))) | |
| 53.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))) #s(literal 4 binary64)))) | |
| 53.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (sin.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) | |
| 53.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64))) (sin.f64 (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) | |
| 53.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)))))) | |
| ✓ | 54.0% | #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)))))) |
| 50.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) | |
| 52.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) | |
| 51.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) | |
| 52.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) | |
| 53.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))) | |
| 54.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (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))))) | |
| 53.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ 1/2 y) x) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64))))))) | |
| 53.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64))))))) | |
| 53.8% | #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)))) | |
| 53.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (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))))) | |
| ✓ | 53.6% | #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)))) |
| 50.4% | #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))))) | |
| 53.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) | |
| ▶ | 54.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))) |
| 51.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))) | |
| ✓ | 54.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 3 569 to 2 076 computations (41.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (sin.f64 (PI.f64)) | |
| cost-diff | 1 | (cos.f64 (PI.f64)) | |
| cost-diff | 3 | (fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (PI.f64)))) | |
| cost-diff | 7 | (*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (PI.f64))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) | |
| cost-diff | 2 | (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) | |
| cost-diff | 2 | (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) | |
| cost-diff | 5 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| cost-diff | 0 | #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) y) | |
| cost-diff | 0 | (tan.f64 (/.f64 #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) y)) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/8 binary64) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) | |
| cost-diff | 0 | (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) 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 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))) | |
| cost-diff | 1 | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 338 |
| 0 | 92 | 300 |
| 1 | 161 | 290 |
| 2 | 308 | 283 |
| 3 | 622 | 283 |
| 4 | 1348 | 283 |
| 5 | 2950 | 283 |
| 6 | 6004 | 283 |
| 0 | 8155 | 283 |
| 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 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) |
#s(literal -1 binary64) |
(cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) |
x |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(PI.f64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1/8 binary64) x) y) |
(*.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
x |
y |
(/.f64 x y) |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) y)) |
(/.f64 #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) y) |
#s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
y |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) |
#s(literal 1 binary64) |
(cos.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(*.f64 (sin.f64 (/.f64 x y)) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(sin.f64 (/.f64 x y)) |
(cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
(/.f64 (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (PI.f64))))) |
(tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
(/.f64 (/.f64 x #s(literal -2 binary64)) y) |
(/.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
y |
(fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (PI.f64)))) |
(sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
(cos.f64 (PI.f64)) |
(PI.f64) |
(*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (PI.f64))) |
(cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
(sin.f64 (PI.f64)) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) 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 x (/.f64 #s(literal 1/2 binary64) 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 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) |
(cos.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) x (PI.f64))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (PI.f64)) |
x |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(PI.f64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (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)))) (fma.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1/8 binary64) x) y) |
(*.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
x |
y |
(/.f64 x y) |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) y)) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(tan.f64 (/.f64 #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) y)) |
(/.f64 #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) y) |
#s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
y |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #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 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) |
#s(literal 1 binary64) |
(cos.f64 (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(*.f64 (sin.f64 (/.f64 x y)) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))))) |
(*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x y))) |
(sin.f64 (/.f64 x y)) |
(cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) |
(/.f64 (/.f64 x y) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (PI.f64) #s(literal 2 binary64)) |
(PI.f64) |
(/.f64 (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (PI.f64))))) |
(/.f64 (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
(/.f64 (/.f64 x #s(literal -2 binary64)) y) |
(/.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
y |
(fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (PI.f64)))) |
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
(cos.f64 (PI.f64)) |
#s(literal -1 binary64) |
(PI.f64) |
(*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (PI.f64))) |
#s(literal 0 binary64) |
(cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
(sin.f64 (PI.f64)) |
#s(literal 0 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 29.251207381396373 | (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) | |
| accuracy | 29.405032529901742 | (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) | |
| accuracy | 29.45233022832428 | (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) | |
| accuracy | 61.92199421717352 | (sin.f64 (PI.f64)) | |
| accuracy | 17.783134023554158 | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| accuracy | 29.201252706626 | (sin.f64 (/.f64 x y)) | |
| accuracy | 29.407668706526465 | (cos.f64 (/.f64 x y)) | |
| accuracy | 58.84995728035534 | (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) | |
| accuracy | 0.0 | #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) | |
| accuracy | 7.619248971220067 | (/.f64 (tan.f64 (/.f64 #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 29.27593514421514 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 29.45233022832428 | (tan.f64 (/.f64 #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) y)) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/8 binary64) x) | |
| accuracy | 0.08984375 | (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)) | |
| accuracy | 32.09505169197909 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 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 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))) | |
| accuracy | 0.109375 | (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) | |
| accuracy | 0.12109375 | (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) | |
| accuracy | 29.28585462092785 | (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) |
| 443.0ms | 45× | 3 | valid |
| 248.0ms | 150× | 1 | valid |
| 196.0ms | 60× | 2 | valid |
| 18.0ms | 1× | 4 | valid |
Compiled 309 to 49 computations (84.1% saved)
ival-sin: 519.0ms (62.3% of total)ival-cos: 137.0ms (16.4% of total)adjust: 57.0ms (6.8% of total)ival-div: 47.0ms (5.6% of total)ival-mult: 35.0ms (4.2% of total)ival-tan: 18.0ms (2.2% of total)ival-add: 12.0ms (1.4% of total)ival-pi: 3.0ms (0.4% of total)ival-sub: 3.0ms (0.4% 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 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))) |
(cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1/8 binary64) x) y) |
(*.f64 #s(literal 1/8 binary64) x) |
(/.f64 (tan.f64 (/.f64 #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) y)) |
(/.f64 #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) y) |
#s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) |
(*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (PI.f64))) |
(fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (PI.f64)))) |
(cos.f64 (PI.f64)) |
(sin.f64 (PI.f64)) |
(/.f64 x y) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(cos.f64 (/.f64 x y)) |
(sin.f64 (/.f64 x y)) |
(tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
(cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
(sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) 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 (+ (* -1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (+ (* 1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/2 (/ (* (sin (PI)) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))))) (* y (cos (PI))))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* 1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
1 |
(+ 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))) |
(* 1/8 (/ x y)) |
(* 1/8 x) |
-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)))) |
(* -1/2 x) |
(* 1/2 (/ x (* y (cos (* 1/2 (PI)))))) |
(* x (+ (* 1/4 (/ (* x (sin (* 1/2 (PI)))) (* (pow y 2) (pow (cos (* 1/2 (PI))) 2)))) (* 1/2 (/ 1 (* y (cos (* 1/2 (PI)))))))) |
(* x (+ (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (cos (* 1/2 (PI))) 3)))) (+ (* 1/24 (/ 1 (* (pow y 3) (cos (* 1/2 (PI)))))) (* 1/2 (/ (+ (* -1/6 (/ (cos (* 1/2 (PI))) (pow y 3))) (* -1/8 (/ (cos (* 1/2 (PI))) (pow y 3)))) (pow (cos (* 1/2 (PI))) 2))))))) (* -1/4 (/ (sin (* 1/2 (PI))) (* (pow y 2) (pow (cos (* 1/2 (PI))) 2)))))) (* 1/2 (/ 1 (* y (cos (* 1/2 (PI)))))))) |
(* x (+ (* x (- (* x (- (* -1 (* x (+ (* 1/4 (/ (* (sin (* 1/2 (PI))) (+ (* -1/6 (/ (cos (* 1/2 (PI))) (pow y 3))) (* -1/8 (/ (cos (* 1/2 (PI))) (pow y 3))))) (* y (pow (cos (* 1/2 (PI))) 3)))) (+ (* 1/2 (/ (* (sin (* 1/2 (PI))) (+ (* -1/8 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (cos (* 1/2 (PI))) 3)))) (+ (* 1/24 (/ 1 (* (pow y 3) (cos (* 1/2 (PI)))))) (* 1/2 (/ (+ (* -1/6 (/ (cos (* 1/2 (PI))) (pow y 3))) (* -1/8 (/ (cos (* 1/2 (PI))) (pow y 3)))) (pow (cos (* 1/2 (PI))) 2)))))) (* y (cos (* 1/2 (PI)))))) (* 1/2 (/ (+ (* 1/48 (/ (sin (* 1/2 (PI))) (pow y 4))) (* 1/12 (/ (sin (* 1/2 (PI))) (pow y 4)))) (pow (cos (* 1/2 (PI))) 2))))))) (+ (* -1/8 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (cos (* 1/2 (PI))) 3)))) (+ (* 1/24 (/ 1 (* (pow y 3) (cos (* 1/2 (PI)))))) (* 1/2 (/ (+ (* -1/6 (/ (cos (* 1/2 (PI))) (pow y 3))) (* -1/8 (/ (cos (* 1/2 (PI))) (pow y 3)))) (pow (cos (* 1/2 (PI))) 2))))))) (* -1/4 (/ (sin (* 1/2 (PI))) (* (pow y 2) (pow (cos (* 1/2 (PI))) 2)))))) (* 1/2 (/ 1 (* y (cos (* 1/2 (PI)))))))) |
(cos (* 1/2 (PI))) |
(+ (cos (* 1/2 (PI))) (* -1/2 (/ (* x (sin (* 1/2 (PI)))) y))) |
(+ (cos (* 1/2 (PI))) (* x (- (* -1/8 (/ (* x (cos (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (sin (* 1/2 (PI))) y))))) |
(+ (cos (* 1/2 (PI))) (* x (- (* x (+ (* -1/8 (/ (cos (* 1/2 (PI))) (pow y 2))) (* 1/48 (/ (* x (sin (* 1/2 (PI)))) (pow y 3))))) (* 1/2 (/ (sin (* 1/2 (PI))) y))))) |
(* 1/2 (PI)) |
(+ (* 1/2 (PI)) (* 1/2 (/ x y))) |
(* 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))))) |
(sin (PI)) |
(+ (sin (PI)) (* -1/8 (/ (* (pow x 2) (sin (PI))) (pow y 2)))) |
(+ (sin (PI)) (* (pow x 2) (+ (* -1/8 (/ (sin (PI)) (pow y 2))) (* 1/384 (/ (* (pow x 2) (sin (PI))) (pow y 4)))))) |
(+ (sin (PI)) (* (pow x 2) (+ (* -1/8 (/ (sin (PI)) (pow y 2))) (* (pow x 2) (+ (* -1/46080 (/ (* (pow x 2) (sin (PI))) (pow y 6))) (* 1/384 (/ (sin (PI)) (pow y 4)))))))) |
(+ (sin (PI)) (* -1/2 (/ (* x (cos (PI))) y))) |
(+ (sin (PI)) (* x (+ (* -1/2 (/ (cos (PI)) y)) (* -1/8 (/ (* x (sin (PI))) (pow y 2)))))) |
(+ (sin (PI)) (* x (+ (* -1/2 (/ (cos (PI)) y)) (* x (+ (* -1/8 (/ (sin (PI)) (pow y 2))) (* 1/48 (/ (* x (cos (PI))) (pow y 3)))))))) |
(/ 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)))))) |
(* 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 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* x (- (* 1/48 (/ (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 (+ (PI) (* 1/2 (/ x y))))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(cos (+ (PI) (* 1/2 (/ x y)))) |
(* x (+ (* 1/2 (/ 1 y)) (/ (PI) x))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(/ (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)))) |
(/ (- 1 (cos (/ x y))) (* (cos (+ (* 1/2 (PI)) (* 1/2 (/ x y)))) (sin (/ x y)))) |
(cos (+ (* 1/2 (PI)) (* 1/2 (/ x y)))) |
(* x (+ (* 1/2 (/ (PI) x)) (* 1/2 (/ 1 y)))) |
(- 1 (cos (/ x y))) |
(* (cos (* -1/2 (/ x y))) (sin (PI))) |
(+ (* (cos (PI)) (sin (* -1/2 (/ x y)))) (* (cos (* -1/2 (/ x y))) (sin (PI)))) |
(sin (* 1/2 (/ x y))) |
(cos (/ x y)) |
(sin (/ x y)) |
(cos (* -1/2 (/ x y))) |
(sin (* -1/2 (/ x y))) |
(/ -1 (cos (- (PI) (* -1/2 (/ x y))))) |
(cos (- (PI) (* -1/2 (/ x y)))) |
(* -1 (* x (- (* -1 (/ (PI) x)) (* 1/2 (/ 1 y))))) |
(/ (- 1 (cos (/ x y))) (* (cos (- (* 1/2 (PI)) (* -1/2 (/ x y)))) (sin (/ x y)))) |
(cos (- (* 1/2 (PI)) (* -1/2 (/ x y)))) |
(* -1 (* x (- (* -1/2 (/ (PI) x)) (* 1/2 (/ 1 y))))) |
(/ (+ (* 1/2 x) (* y (PI))) y) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ (+ (* 1/2 x) (* 1/2 (* 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 (/ (+ (* -1/48 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))) (+ (* 1/16 (/ (* (pow x 3) (sin (PI))) (pow (cos (PI)) 2))) (* 1/2 (/ (* x (* (sin (PI)) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (cos (PI)))))) (pow y 3))) (+ (* 1/8 (/ (pow x 2) (* (pow y 2) (cos (PI))))) (+ (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* (pow y 2) (pow (cos (PI)) 3)))) (+ (* 1/2 (/ (* x (sin (PI))) (* y (pow (cos (PI)) 2)))) (/ 1 (cos (PI))))))) |
(- (+ 1 (* 2 (/ (- (* -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))) |
(- (* 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) |
(/ (+ (* 1/4 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (* y (pow (cos (* 1/2 (PI))) 2)))) (* 1/2 (/ x (cos (* 1/2 (PI)))))) y) |
(/ (- (+ (* -1/24 (/ (pow x 3) (* (pow y 2) (cos (* 1/2 (PI)))))) (* 1/2 (/ x (cos (* 1/2 (PI)))))) (+ (* -1/4 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (* y (pow (cos (* 1/2 (PI))) 2)))) (+ (* -1/8 (/ (* (pow x 3) (pow (sin (* 1/2 (PI))) 2)) (* (pow y 2) (pow (cos (* 1/2 (PI))) 3)))) (* 1/2 (/ (+ (* -1/6 (* (pow x 3) (cos (* 1/2 (PI))))) (* -1/8 (* (pow x 3) (cos (* 1/2 (PI)))))) (* (pow y 2) (pow (cos (* 1/2 (PI))) 2))))))) y) |
(/ (- (+ (* -1 (/ (+ (* -1/2 (/ (* x (* (sin (* 1/2 (PI))) (- (* -1/24 (/ (pow x 3) (cos (* 1/2 (PI))))) (+ (* -1/8 (/ (* (pow x 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 3))) (* 1/2 (/ (+ (* -1/6 (* (pow x 3) (cos (* 1/2 (PI))))) (* -1/8 (* (pow x 3) (cos (* 1/2 (PI)))))) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI))))) (+ (* 1/4 (/ (* x (* (sin (* 1/2 (PI))) (+ (* -1/6 (* (pow x 3) (cos (* 1/2 (PI))))) (* -1/8 (* (pow x 3) (cos (* 1/2 (PI)))))))) (pow (cos (* 1/2 (PI))) 3))) (* 1/2 (/ (+ (* 1/48 (* (pow x 4) (sin (* 1/2 (PI))))) (* 1/12 (* (pow x 4) (sin (* 1/2 (PI)))))) (pow (cos (* 1/2 (PI))) 2))))) (pow y 3))) (+ (* -1/24 (/ (pow x 3) (* (pow y 2) (cos (* 1/2 (PI)))))) (* 1/2 (/ x (cos (* 1/2 (PI))))))) (+ (* -1/4 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (* y (pow (cos (* 1/2 (PI))) 2)))) (+ (* -1/8 (/ (* (pow x 3) (pow (sin (* 1/2 (PI))) 2)) (* (pow y 2) (pow (cos (* 1/2 (PI))) 3)))) (* 1/2 (/ (+ (* -1/6 (* (pow x 3) (cos (* 1/2 (PI))))) (* -1/8 (* (pow x 3) (cos (* 1/2 (PI)))))) (* (pow y 2) (pow (cos (* 1/2 (PI))) 2))))))) y) |
(- (+ (cos (* 1/2 (PI))) (* -1/8 (/ (* (pow x 2) (cos (* 1/2 (PI)))) (pow y 2)))) (* 1/2 (/ (* x (sin (* 1/2 (PI)))) y))) |
(- (+ (cos (* 1/2 (PI))) (+ (* -1/8 (/ (* (pow x 2) (cos (* 1/2 (PI)))) (pow y 2))) (* 1/48 (/ (* (pow x 3) (sin (* 1/2 (PI)))) (pow y 3))))) (* 1/2 (/ (* x (sin (* 1/2 (PI)))) y))) |
(/ (- (* -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)) |
(+ (sin (PI)) (+ (* -1/8 (/ (* (pow x 2) (sin (PI))) (pow y 2))) (* 1/384 (/ (* (pow x 4) (sin (PI))) (pow y 4))))) |
(+ (sin (PI)) (+ (* -1/8 (/ (* (pow x 2) (sin (PI))) (pow y 2))) (+ (* -1/46080 (/ (* (pow x 6) (sin (PI))) (pow y 6))) (* 1/384 (/ (* (pow x 4) (sin (PI))) (pow y 4)))))) |
(+ (sin (PI)) (+ (* -1/2 (/ (* x (cos (PI))) y)) (* -1/8 (/ (* (pow x 2) (sin (PI))) (pow y 2))))) |
(+ (sin (PI)) (+ (* -1/2 (/ (* x (cos (PI))) y)) (+ (* -1/8 (/ (* (pow x 2) (sin (PI))) (pow y 2))) (* 1/48 (/ (* (pow x 3) (cos (PI))) (pow y 3)))))) |
(/ (+ (* -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)))))) |
(/ (+ x (* -1/6 (/ (pow x 3) (pow y 2)))) y) |
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (* 1/120 (/ (pow x 5) (pow y 4))))) y) |
(/ (+ x (+ (* -1/6 (/ (pow x 3) (pow y 2))) (+ (* -1/5040 (/ (pow x 7) (pow y 6))) (* 1/120 (/ (pow x 5) (pow y 4)))))) y) |
(+ 1 (+ (* -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)))))) |
(/ (+ (* -1/2 x) (* 1/48 (/ (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))))) 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)))))) y) |
(- (* -1 (/ (- (+ (* 1/8 (/ (pow x 2) (* y (cos (PI))))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (* y (pow (cos (PI)) 3))))) (* -1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI)))) |
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (sin (PI)) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3)))))) (* y (cos (PI))))) (+ (* -1/16 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))) (* 1/48 (/ (* (pow x 3) (sin (PI))) (* y (pow (cos (PI)) 2)))))) (+ (* 1/8 (/ (pow x 2) (cos (PI)))) (* 1/4 (/ (* (pow x 2) (pow (sin (PI)) 2)) (pow (cos (PI)) 3))))) y)) (* -1/2 (/ (* x (sin (PI))) (pow (cos (PI)) 2)))) y)) (/ 1 (cos (PI)))) |
(- (+ 1 (* -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))) |
(- (* -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 (cos (* 1/2 (PI))))) (* -1/4 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (* y (pow (cos (* 1/2 (PI))) 2))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 3) (cos (* 1/2 (PI))))) (+ (* 1/8 (/ (* (pow x 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 3))) (* 1/2 (/ (+ (* 1/8 (* (pow x 3) (cos (* 1/2 (PI))))) (* 1/6 (* (pow x 3) (cos (* 1/2 (PI)))))) (pow (cos (* 1/2 (PI))) 2))))) y)) (* -1/4 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow (cos (* 1/2 (PI))) 2)))) y)) (* -1/2 (/ x (cos (* 1/2 (PI)))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* x (* (sin (* 1/2 (PI))) (+ (* 1/8 (* (pow x 3) (cos (* 1/2 (PI))))) (* 1/6 (* (pow x 3) (cos (* 1/2 (PI)))))))) (* y (pow (cos (* 1/2 (PI))) 3)))) (+ (* 1/24 (/ (pow x 3) (cos (* 1/2 (PI))))) (+ (* 1/2 (/ (* x (* (sin (* 1/2 (PI))) (- (* 1/24 (/ (pow x 3) (cos (* 1/2 (PI))))) (+ (* 1/8 (/ (* (pow x 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 3))) (* 1/2 (/ (+ (* 1/8 (* (pow x 3) (cos (* 1/2 (PI))))) (* 1/6 (* (pow x 3) (cos (* 1/2 (PI)))))) (pow (cos (* 1/2 (PI))) 2))))))) (* y (cos (* 1/2 (PI)))))) (* 1/2 (/ (+ (* 1/48 (* (pow x 4) (sin (* 1/2 (PI))))) (* 1/12 (* (pow x 4) (sin (* 1/2 (PI)))))) (* y (pow (cos (* 1/2 (PI))) 2))))))) (+ (* 1/8 (/ (* (pow x 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 3))) (* 1/2 (/ (+ (* 1/8 (* (pow x 3) (cos (* 1/2 (PI))))) (* 1/6 (* (pow x 3) (cos (* 1/2 (PI)))))) (pow (cos (* 1/2 (PI))) 2))))) y)) (* -1/4 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow (cos (* 1/2 (PI))) 2)))) y)) (* -1/2 (/ x (cos (* 1/2 (PI)))))) y)) |
(+ (cos (* 1/2 (PI))) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (* 1/2 (PI)))) y)) (* -1/2 (* x (sin (* 1/2 (PI)))))) y))) |
(+ (cos (* 1/2 (PI))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (* 1/2 (PI))))) (* 1/48 (/ (* (pow x 3) (sin (* 1/2 (PI)))) y))) y)) (* -1/2 (* x (sin (* 1/2 (PI)))))) y))) |
(+ (sin (PI)) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (PI))) y)) (* 1/2 (* x (cos (PI))))) 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))) |
(* -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 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) 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)))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | y | @ | -inf | ((/ -1 (cos (+ (* x (/ 1/2 y)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* x (/ 1/2 y)) (PI))) (+ (* x (/ 1/2 y)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (/ (tan (/ (/ x -2) y)) (sin (/ x (* y 2)))) (tan (/ (/ x -2) y)) (/ (/ x -2) y) (/ x -2) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (cos (+ (/ (/ x y) 2) (/ (PI) 2))))) (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (+ (/ (/ x y) 2) (/ (PI) 2)) (- 1 (cos (/ x y))) (* (cos (/ (/ x -2) y)) (sin (PI))) (+ (* (sin (/ (/ x -2) y)) (cos (PI))) (* (cos (/ (/ x -2) y)) (sin (PI)))) (cos (PI)) (sin (PI)) (/ x y) (sin (/ x (* y 2))) (cos (/ x y)) (sin (/ x y)) (tan (/ (/ x -2) y)) (cos (/ (/ x -2) y)) (sin (/ (/ x -2) y))) |
| 8.0ms | x | @ | -inf | ((/ -1 (cos (+ (* x (/ 1/2 y)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* x (/ 1/2 y)) (PI))) (+ (* x (/ 1/2 y)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (/ (tan (/ (/ x -2) y)) (sin (/ x (* y 2)))) (tan (/ (/ x -2) y)) (/ (/ x -2) y) (/ x -2) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (cos (+ (/ (/ x y) 2) (/ (PI) 2))))) (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (+ (/ (/ x y) 2) (/ (PI) 2)) (- 1 (cos (/ x y))) (* (cos (/ (/ x -2) y)) (sin (PI))) (+ (* (sin (/ (/ x -2) y)) (cos (PI))) (* (cos (/ (/ x -2) y)) (sin (PI)))) (cos (PI)) (sin (PI)) (/ x y) (sin (/ x (* y 2))) (cos (/ x y)) (sin (/ x y)) (tan (/ (/ x -2) y)) (cos (/ (/ x -2) y)) (sin (/ (/ x -2) y))) |
| 7.0ms | x | @ | 0 | ((/ -1 (cos (+ (* x (/ 1/2 y)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* x (/ 1/2 y)) (PI))) (+ (* x (/ 1/2 y)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (/ (tan (/ (/ x -2) y)) (sin (/ x (* y 2)))) (tan (/ (/ x -2) y)) (/ (/ x -2) y) (/ x -2) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (cos (+ (/ (/ x y) 2) (/ (PI) 2))))) (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (+ (/ (/ x y) 2) (/ (PI) 2)) (- 1 (cos (/ x y))) (* (cos (/ (/ x -2) y)) (sin (PI))) (+ (* (sin (/ (/ x -2) y)) (cos (PI))) (* (cos (/ (/ x -2) y)) (sin (PI)))) (cos (PI)) (sin (PI)) (/ x y) (sin (/ x (* y 2))) (cos (/ x y)) (sin (/ x y)) (tan (/ (/ x -2) y)) (cos (/ (/ x -2) y)) (sin (/ (/ x -2) y))) |
| 7.0ms | y | @ | inf | ((/ -1 (cos (+ (* x (/ 1/2 y)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* x (/ 1/2 y)) (PI))) (+ (* x (/ 1/2 y)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (/ (tan (/ (/ x -2) y)) (sin (/ x (* y 2)))) (tan (/ (/ x -2) y)) (/ (/ x -2) y) (/ x -2) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (cos (+ (/ (/ x y) 2) (/ (PI) 2))))) (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (+ (/ (/ x y) 2) (/ (PI) 2)) (- 1 (cos (/ x y))) (* (cos (/ (/ x -2) y)) (sin (PI))) (+ (* (sin (/ (/ x -2) y)) (cos (PI))) (* (cos (/ (/ x -2) y)) (sin (PI)))) (cos (PI)) (sin (PI)) (/ x y) (sin (/ x (* y 2))) (cos (/ x y)) (sin (/ x y)) (tan (/ (/ x -2) y)) (cos (/ (/ x -2) y)) (sin (/ (/ x -2) y))) |
| 6.0ms | x | @ | inf | ((/ -1 (cos (+ (* x (/ 1/2 y)) (PI)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (cos (+ (* x (/ 1/2 y)) (PI))) (+ (* x (/ 1/2 y)) (PI)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ (* 1/8 x) y) (/ x y)) 1) (/ (* 1/8 x) y) (* 1/8 x) (/ (tan (/ (/ x -2) y)) (sin (/ x (* y 2)))) (tan (/ (/ x -2) y)) (/ (/ x -2) y) (/ x -2) (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (cos (+ (/ (/ x y) 2) (/ (PI) 2))))) (cos (+ (/ (/ x y) 2) (/ (PI) 2))) (+ (/ (/ x y) 2) (/ (PI) 2)) (- 1 (cos (/ x y))) (* (cos (/ (/ x -2) y)) (sin (PI))) (+ (* (sin (/ (/ x -2) y)) (cos (PI))) (* (cos (/ (/ x -2) y)) (sin (PI)))) (cos (PI)) (sin (PI)) (/ x y) (sin (/ x (* y 2))) (cos (/ x y)) (sin (/ x y)) (tan (/ (/ x -2) y)) (cos (/ (/ x -2) y)) (sin (/ (/ x -2) y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1046 | 5293 |
| 1 | 3618 | 4907 |
| 0 | 8665 | 4655 |
| 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)))) |
(- (* x (- (* x (- (* -1 (* x (+ (* -1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (+ (* 1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/2 (/ (* (sin (PI)) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))))) (* y (cos (PI))))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* 1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
1 |
(+ 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))) |
(* 1/8 (/ x y)) |
(* 1/8 x) |
-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)))) |
(* -1/2 x) |
(* 1/2 (/ x (* y (cos (* 1/2 (PI)))))) |
(* x (+ (* 1/4 (/ (* x (sin (* 1/2 (PI)))) (* (pow y 2) (pow (cos (* 1/2 (PI))) 2)))) (* 1/2 (/ 1 (* y (cos (* 1/2 (PI)))))))) |
(* x (+ (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (cos (* 1/2 (PI))) 3)))) (+ (* 1/24 (/ 1 (* (pow y 3) (cos (* 1/2 (PI)))))) (* 1/2 (/ (+ (* -1/6 (/ (cos (* 1/2 (PI))) (pow y 3))) (* -1/8 (/ (cos (* 1/2 (PI))) (pow y 3)))) (pow (cos (* 1/2 (PI))) 2))))))) (* -1/4 (/ (sin (* 1/2 (PI))) (* (pow y 2) (pow (cos (* 1/2 (PI))) 2)))))) (* 1/2 (/ 1 (* y (cos (* 1/2 (PI)))))))) |
(* x (+ (* x (- (* x (- (* -1 (* x (+ (* 1/4 (/ (* (sin (* 1/2 (PI))) (+ (* -1/6 (/ (cos (* 1/2 (PI))) (pow y 3))) (* -1/8 (/ (cos (* 1/2 (PI))) (pow y 3))))) (* y (pow (cos (* 1/2 (PI))) 3)))) (+ (* 1/2 (/ (* (sin (* 1/2 (PI))) (+ (* -1/8 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (cos (* 1/2 (PI))) 3)))) (+ (* 1/24 (/ 1 (* (pow y 3) (cos (* 1/2 (PI)))))) (* 1/2 (/ (+ (* -1/6 (/ (cos (* 1/2 (PI))) (pow y 3))) (* -1/8 (/ (cos (* 1/2 (PI))) (pow y 3)))) (pow (cos (* 1/2 (PI))) 2)))))) (* y (cos (* 1/2 (PI)))))) (* 1/2 (/ (+ (* 1/48 (/ (sin (* 1/2 (PI))) (pow y 4))) (* 1/12 (/ (sin (* 1/2 (PI))) (pow y 4)))) (pow (cos (* 1/2 (PI))) 2))))))) (+ (* -1/8 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (cos (* 1/2 (PI))) 3)))) (+ (* 1/24 (/ 1 (* (pow y 3) (cos (* 1/2 (PI)))))) (* 1/2 (/ (+ (* -1/6 (/ (cos (* 1/2 (PI))) (pow y 3))) (* -1/8 (/ (cos (* 1/2 (PI))) (pow y 3)))) (pow (cos (* 1/2 (PI))) 2))))))) (* -1/4 (/ (sin (* 1/2 (PI))) (* (pow y 2) (pow (cos (* 1/2 (PI))) 2)))))) (* 1/2 (/ 1 (* y (cos (* 1/2 (PI)))))))) |
(cos (* 1/2 (PI))) |
(+ (cos (* 1/2 (PI))) (* -1/2 (/ (* x (sin (* 1/2 (PI)))) y))) |
(+ (cos (* 1/2 (PI))) (* x (- (* -1/8 (/ (* x (cos (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (sin (* 1/2 (PI))) y))))) |
(+ (cos (* 1/2 (PI))) (* x (- (* x (+ (* -1/8 (/ (cos (* 1/2 (PI))) (pow y 2))) (* 1/48 (/ (* x (sin (* 1/2 (PI)))) (pow y 3))))) (* 1/2 (/ (sin (* 1/2 (PI))) y))))) |
(* 1/2 (PI)) |
(+ (* 1/2 (PI)) (* 1/2 (/ x y))) |
(* 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))))) |
(sin (PI)) |
(+ (sin (PI)) (* -1/8 (/ (* (pow x 2) (sin (PI))) (pow y 2)))) |
(+ (sin (PI)) (* (pow x 2) (+ (* -1/8 (/ (sin (PI)) (pow y 2))) (* 1/384 (/ (* (pow x 2) (sin (PI))) (pow y 4)))))) |
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(+ (sin (PI)) (* -1/2 (/ (* x (cos (PI))) y))) |
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(* -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 (cos (* 1/2 (PI))))) (* -1/4 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (* y (pow (cos (* 1/2 (PI))) 2))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 3) (cos (* 1/2 (PI))))) (+ (* 1/8 (/ (* (pow x 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 3))) (* 1/2 (/ (+ (* 1/8 (* (pow x 3) (cos (* 1/2 (PI))))) (* 1/6 (* (pow x 3) (cos (* 1/2 (PI)))))) (pow (cos (* 1/2 (PI))) 2))))) y)) (* -1/4 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow (cos (* 1/2 (PI))) 2)))) y)) (* -1/2 (/ x (cos (* 1/2 (PI)))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* x (* (sin (* 1/2 (PI))) (+ (* 1/8 (* (pow x 3) (cos (* 1/2 (PI))))) (* 1/6 (* (pow x 3) (cos (* 1/2 (PI)))))))) (* y (pow (cos (* 1/2 (PI))) 3)))) (+ (* 1/24 (/ (pow x 3) (cos (* 1/2 (PI))))) (+ (* 1/2 (/ (* x (* (sin (* 1/2 (PI))) (- (* 1/24 (/ (pow x 3) (cos (* 1/2 (PI))))) (+ (* 1/8 (/ (* (pow x 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 3))) (* 1/2 (/ (+ (* 1/8 (* (pow x 3) (cos (* 1/2 (PI))))) (* 1/6 (* (pow x 3) (cos (* 1/2 (PI)))))) (pow (cos (* 1/2 (PI))) 2))))))) (* y (cos (* 1/2 (PI)))))) (* 1/2 (/ (+ (* 1/48 (* (pow x 4) (sin (* 1/2 (PI))))) (* 1/12 (* (pow x 4) (sin (* 1/2 (PI)))))) (* y (pow (cos (* 1/2 (PI))) 2))))))) (+ (* 1/8 (/ (* (pow x 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 3))) (* 1/2 (/ (+ (* 1/8 (* (pow x 3) (cos (* 1/2 (PI))))) (* 1/6 (* (pow x 3) (cos (* 1/2 (PI)))))) (pow (cos (* 1/2 (PI))) 2))))) y)) (* -1/4 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow (cos (* 1/2 (PI))) 2)))) y)) (* -1/2 (/ x (cos (* 1/2 (PI)))))) y)) |
(+ (cos (* 1/2 (PI))) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (* 1/2 (PI)))) y)) (* -1/2 (* x (sin (* 1/2 (PI)))))) y))) |
(+ (cos (* 1/2 (PI))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (* 1/2 (PI))))) (* 1/48 (/ (* (pow x 3) (sin (* 1/2 (PI)))) y))) y)) (* -1/2 (* x (sin (* 1/2 (PI)))))) y))) |
(+ (sin (PI)) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (PI))) y)) (* 1/2 (* x (cos (PI))))) 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))) |
(* -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 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) 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)))) 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 (+ (* -1/48 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (+ (* 1/16 (/ (sin (PI)) (* (pow y 3) (pow (cos (PI)) 2)))) (* 1/2 (/ (* (sin (PI)) (+ (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3)))) (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))))) (* y (cos (PI))))))))) (+ (* 1/8 (/ 1 (* (pow y 2) (cos (PI))))) (* 1/4 (/ (pow (sin (PI)) 2) (* (pow y 2) (pow (cos (PI)) 3))))))) (* 1/2 (/ (sin (PI)) (* y (pow (cos (PI)) 2)))))) (/ 1 (cos (PI)))) |
(-.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)) |
(* 1/8 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/8 binary64)) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
-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 (-.f64 (/.f64 (*.f64 #s(literal -5/384 binary64) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x)) #s(literal 1 binary64)) |
(- (* (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 (-.f64 (*.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) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* 1/2 (/ x (* y (cos (* 1/2 (PI)))))) |
(*.f64 (/.f64 (/.f64 x y) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 1/2 binary64)) |
(* x (+ (* 1/4 (/ (* x (sin (* 1/2 (PI)))) (* (pow y 2) (pow (cos (* 1/2 (PI))) 2)))) (* 1/2 (/ 1 (* y (cos (* 1/2 (PI)))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 x (*.f64 y y))) #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) y))) x) |
(* x (+ (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (cos (* 1/2 (PI))) 3)))) (+ (* 1/24 (/ 1 (* (pow y 3) (cos (* 1/2 (PI)))))) (* 1/2 (/ (+ (* -1/6 (/ (cos (* 1/2 (PI))) (pow y 3))) (* -1/8 (/ (cos (* 1/2 (PI))) (pow y 3)))) (pow (cos (* 1/2 (PI))) 2))))))) (* -1/4 (/ (sin (* 1/2 (PI))) (* (pow y 2) (pow (cos (* 1/2 (PI))) 2)))))) (* 1/2 (/ 1 (* y (cos (* 1/2 (PI)))))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) y) #s(literal 3 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64))) #s(literal -7/24 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 y y)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64))))) x (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) y))) x) |
(* x (+ (* x (- (* x (- (* -1 (* x (+ (* 1/4 (/ (* (sin (* 1/2 (PI))) (+ (* -1/6 (/ (cos (* 1/2 (PI))) (pow y 3))) (* -1/8 (/ (cos (* 1/2 (PI))) (pow y 3))))) (* y (pow (cos (* 1/2 (PI))) 3)))) (+ (* 1/2 (/ (* (sin (* 1/2 (PI))) (+ (* -1/8 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (cos (* 1/2 (PI))) 3)))) (+ (* 1/24 (/ 1 (* (pow y 3) (cos (* 1/2 (PI)))))) (* 1/2 (/ (+ (* -1/6 (/ (cos (* 1/2 (PI))) (pow y 3))) (* -1/8 (/ (cos (* 1/2 (PI))) (pow y 3)))) (pow (cos (* 1/2 (PI))) 2)))))) (* y (cos (* 1/2 (PI)))))) (* 1/2 (/ (+ (* 1/48 (/ (sin (* 1/2 (PI))) (pow y 4))) (* 1/12 (/ (sin (* 1/2 (PI))) (pow y 4)))) (pow (cos (* 1/2 (PI))) 2))))))) (+ (* -1/8 (/ (pow (sin (* 1/2 (PI))) 2) (* (pow y 3) (pow (cos (* 1/2 (PI))) 3)))) (+ (* 1/24 (/ 1 (* (pow y 3) (cos (* 1/2 (PI)))))) (* 1/2 (/ (+ (* -1/6 (/ (cos (* 1/2 (PI))) (pow y 3))) (* -1/8 (/ (cos (* 1/2 (PI))) (pow y 3)))) (pow (cos (* 1/2 (PI))) 2))))))) (* -1/4 (/ (sin (* 1/2 (PI))) (* (pow y 2) (pow (cos (* 1/2 (PI))) 2)))))) (* 1/2 (/ 1 (* y (cos (* 1/2 (PI)))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) y) #s(literal 3 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64))) #s(literal -7/24 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64)))))) y) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/48 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64))) #s(literal -7/24 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) y) #s(literal 3 binary64))))) (fma.f64 (/.f64 (*.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64))) #s(literal -7/24 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64)))))) x (*.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 y y)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64))))) x (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) y))) x) |
(cos (* 1/2 (PI))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) |
(+ (cos (* 1/2 (PI))) (* -1/2 (/ (* x (sin (* 1/2 (PI)))) y))) |
(fma.f64 (*.f64 x (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y)) #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
(+ (cos (* 1/2 (PI))) (* x (- (* -1/8 (/ (* x (cos (* 1/2 (PI)))) (pow y 2))) (* 1/2 (/ (sin (* 1/2 (PI))) y))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) x) y) (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y))) x (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
(+ (cos (* 1/2 (PI))) (* x (- (* x (+ (* -1/8 (/ (cos (* 1/2 (PI))) (pow y 2))) (* 1/48 (/ (* x (sin (* 1/2 (PI)))) (pow y 3))))) (* 1/2 (/ (sin (* 1/2 (PI))) y))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) y) (*.f64 (*.f64 x (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/48 binary64))) x (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) y))) x (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) |
(* 1/2 (PI)) |
(*.f64 #s(literal 1/2 binary64) (PI.f64)) |
(+ (* 1/2 (PI)) (* 1/2 (/ x y))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64))) |
(* 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))))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x)) |
(* (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))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 8 binary64))) #s(literal -1/40320 binary64) (/.f64 #s(literal 1/720 binary64) (pow.f64 y #s(literal 6 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (*.f64 x x)) |
(sin (PI)) |
#s(literal 0 binary64) |
(+ (sin (PI)) (* -1/8 (/ (* (pow x 2) (sin (PI))) (pow y 2)))) |
#s(literal 0 binary64) |
(+ (sin (PI)) (* (pow x 2) (+ (* -1/8 (/ (sin (PI)) (pow y 2))) (* 1/384 (/ (* (pow x 2) (sin (PI))) (pow y 4)))))) |
#s(literal 0 binary64) |
(+ (sin (PI)) (* (pow x 2) (+ (* -1/8 (/ (sin (PI)) (pow y 2))) (* (pow x 2) (+ (* -1/46080 (/ (* (pow x 2) (sin (PI))) (pow y 6))) (* 1/384 (/ (sin (PI)) (pow y 4)))))))) |
#s(literal 0 binary64) |
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(* -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)) |
(/.f64 (-.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))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y)) |
(* -1 (/ (- (+ (* -1/48 (/ (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 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) (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 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 1/3840 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) #s(literal -1/16 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/92160 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/384 binary64) (/.f64 (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))))))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 (/ x (cos (* 1/2 (PI))))) (* -1/4 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (* y (pow (cos (* 1/2 (PI))) 2))))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) y) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x x)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 3) (cos (* 1/2 (PI))))) (+ (* 1/8 (/ (* (pow x 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 3))) (* 1/2 (/ (+ (* 1/8 (* (pow x 3) (cos (* 1/2 (PI))))) (* 1/6 (* (pow x 3) (cos (* 1/2 (PI)))))) (pow (cos (* 1/2 (PI))) 2))))) y)) (* -1/4 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow (cos (* 1/2 (PI))) 2)))) y)) (* -1/2 (/ x (cos (* 1/2 (PI)))))) y)) |
(/.f64 (fma.f64 (/.f64 x (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 7/24 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) y) #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x x)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64))))) (neg.f64 y))) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* x (* (sin (* 1/2 (PI))) (+ (* 1/8 (* (pow x 3) (cos (* 1/2 (PI))))) (* 1/6 (* (pow x 3) (cos (* 1/2 (PI)))))))) (* y (pow (cos (* 1/2 (PI))) 3)))) (+ (* 1/24 (/ (pow x 3) (cos (* 1/2 (PI))))) (+ (* 1/2 (/ (* x (* (sin (* 1/2 (PI))) (- (* 1/24 (/ (pow x 3) (cos (* 1/2 (PI))))) (+ (* 1/8 (/ (* (pow x 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 3))) (* 1/2 (/ (+ (* 1/8 (* (pow x 3) (cos (* 1/2 (PI))))) (* 1/6 (* (pow x 3) (cos (* 1/2 (PI)))))) (pow (cos (* 1/2 (PI))) 2))))))) (* y (cos (* 1/2 (PI)))))) (* 1/2 (/ (+ (* 1/48 (* (pow x 4) (sin (* 1/2 (PI))))) (* 1/12 (* (pow x 4) (sin (* 1/2 (PI)))))) (* y (pow (cos (* 1/2 (PI))) 2))))))) (+ (* 1/8 (/ (* (pow x 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 3))) (* 1/2 (/ (+ (* 1/8 (* (pow x 3) (cos (* 1/2 (PI))))) (* 1/6 (* (pow x 3) (cos (* 1/2 (PI)))))) (pow (cos (* 1/2 (PI))) 2))))) y)) (* -1/4 (/ (* (pow x 2) (sin (* 1/2 (PI)))) (pow (cos (* 1/2 (PI))) 2)))) y)) (* -1/2 (/ x (cos (* 1/2 (PI)))))) y)) |
(/.f64 (fma.f64 (/.f64 x (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) x) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 7/24 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) y) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 #s(literal 5/48 binary64) y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 1/24 binary64) (*.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) x) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 7/24 binary64))) y)))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) #s(literal 7/24 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) y) #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 x x)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) #s(literal 2 binary64))))) (neg.f64 y))) (neg.f64 y)) |
(+ (cos (* 1/2 (PI))) (* -1 (/ (- (* 1/8 (/ (* (pow x 2) (cos (* 1/2 (PI)))) y)) (* -1/2 (* x (sin (* 1/2 (PI)))))) y))) |
(-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (/.f64 (fma.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 x x)) y) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) x))) y)) |
(+ (cos (* 1/2 (PI))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (pow x 2) (cos (* 1/2 (PI))))) (* 1/48 (/ (* (pow x 3) (sin (* 1/2 (PI)))) y))) y)) (* -1/2 (* x (sin (* 1/2 (PI)))))) y))) |
(-.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) y) #s(literal 1/48 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))))) y) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) x))) y)) |
(+ (sin (PI)) (* -1 (/ (+ (* 1/8 (/ (* (pow x 2) (sin (PI))) y)) (* 1/2 (* x (cos (PI))))) y))) |
(*.f64 (/.f64 x y) #s(literal 1/2 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 (fma.f64 (neg.f64 x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) y) #s(literal 1/48 binary64) #s(literal 0 binary64)) (neg.f64 y))) (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 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (* 1/6 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (* 1/6 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 x))) (neg.f64 y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1/120 (/ (pow x 5) (pow y 4))) (+ (* 1/5040 (/ (pow x 7) (pow y 6))) (* 1/6 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (fma.f64 #s(literal -1/120 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 x))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) 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 (/ (+ (* -1/48 (/ (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 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) (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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 243 |
| 0 | 90 | 214 |
| 1 | 301 | 204 |
| 2 | 2227 | 202 |
| 0 | 8304 | 200 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))) |
(cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal 1/8 binary64) x) y) |
(*.f64 #s(literal 1/8 binary64) x) |
(/.f64 (tan.f64 (/.f64 #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) y)) |
(/.f64 #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) y) |
#s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) |
(*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (PI.f64))) |
(fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (PI.f64)))) |
(cos.f64 (PI.f64)) |
(sin.f64 (PI.f64)) |
(/.f64 x y) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(cos.f64 (/.f64 x y)) |
(sin.f64 (/.f64 x y)) |
(tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
(cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
(sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
| Outputs |
|---|
(pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #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) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(exp.f64 (*.f64 (log.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)))) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64) #s(literal 0 binary64)))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64) #s(literal 0 binary64))) |
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(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) (/.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (neg.f64 (PI.f64))))) |
(fma.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (*.f64 (neg.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (/.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(fma.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) #s(literal -1 binary64) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (neg.f64 (PI.f64))))) |
(fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) #s(literal 0 binary64))) |
(fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (neg.f64 (PI.f64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) (*.f64 (neg.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) (/.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) #s(literal 0 binary64)) |
(sin.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 x y) (PI.f64)) (neg.f64 (PI.f64))) #s(literal -2 binary64)))) |
(sin.f64 (neg.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (/.f64 x y) (PI.f64))) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 x y) (PI.f64)) (neg.f64 (PI.f64))) #s(literal -2 binary64)) (PI.f64))) |
(sin.f64 (+.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (/.f64 x y) (PI.f64))) #s(literal 2 binary64)) (PI.f64))) |
(sin.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) (PI.f64))) |
(sin.f64 (-.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) (PI.f64))) |
(sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
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(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(cos.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal -2 binary64))) (PI.f64))) |
(cos.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal -2 binary64)) (PI.f64))) |
(cos.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)) (PI.f64))) |
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(+.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (neg.f64 (PI.f64))))) |
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(+.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(+.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) |
#s(literal -1 binary64) |
#s(literal 0 binary64) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
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(*.f64 (/.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) |
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(*.f64 (/.f64 (fabs.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 (fabs.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) |
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(*.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) |
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(*.f64 (/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
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(*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) |
(*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) #s(literal -1 binary64)) |
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(*.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) |
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(fma.f64 (sin.f64 (/.f64 x y)) #s(literal 0 binary64) (cos.f64 (/.f64 x y))) |
(fma.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y)))) |
(sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y))) |
(cos.f64 (/.f64 (neg.f64 x) y)) |
(cos.f64 (/.f64 x y)) |
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(+.f64 (cos.f64 (/.f64 x y)) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y)))) |
(neg.f64 (neg.f64 (sin.f64 (/.f64 x y)))) |
(sin.f64 (/.f64 x y)) |
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(/.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) |
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(tan.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)) (PI.f64)))) |
(tan.f64 (+.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) (PI.f64))) |
(tan.f64 (+.f64 (+.f64 (+.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) (PI.f64)) (PI.f64)) (PI.f64))) |
(tan.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64)))) |
(tan.f64 (+.f64 (+.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) (PI.f64)) (PI.f64))) |
(tan.f64 (+.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) (PI.f64))) |
(tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (/.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(-.f64 (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (/.f64 (/.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
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(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) (-.f64 (pow.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)))) (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 (/.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)))) (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(+.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) |
(+.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (/.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) #s(literal 1 binary64)) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) |
(+.f64 (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (/.f64 (*.f64 (neg.f64 (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) #s(literal 0 binary64)) (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(+.f64 (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))) |
(fma.f64 (sin.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (PI.f64) (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (PI.f64) (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (PI.f64) (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (PI.f64) (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) #s(literal 2 binary64))))))) |
(fma.f64 (sin.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (cos.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 4 binary64))) (*.f64 (cos.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (sin.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 4 binary64))))) |
(fma.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) #s(literal 0 binary64) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64))) |
(sin.f64 (+.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) |
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))))) |
(cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) |
(cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
(cos.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (PI.f64) (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (PI.f64) (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (PI.f64) (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (PI.f64) (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) #s(literal 2 binary64))))))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (cos.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 4 binary64)))) (*.f64 (cos.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (sin.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 4 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (cos.f64 (/.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))))) |
(neg.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(fma.f64 (cos.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))) (*.f64 (sin.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))))) |
(fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) #s(literal 0 binary64)) |
(sin.f64 (neg.f64 (-.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) (PI.f64)))) |
(sin.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) (PI.f64)))) |
(sin.f64 (+.f64 (-.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) (PI.f64)) (PI.f64))) |
(sin.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal -2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 (/.f64 (+.f64 (+.f64 (/.f64 x y) (PI.f64)) (neg.f64 (PI.f64))) #s(literal -2 binary64))) |
(sin.f64 (+.f64 (+.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) (PI.f64)) (PI.f64))) |
(sin.f64 (/.f64 (+.f64 (PI.f64) (+.f64 (/.f64 x y) (PI.f64))) #s(literal 2 binary64))) |
(sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) |
(sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (cos.f64 (/.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (cos.f64 (/.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))))) (/.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (PI.f64) (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) #s(literal 2 binary64))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (PI.f64) (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) #s(literal 2 binary64)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (PI.f64) (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) #s(literal 2 binary64))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (PI.f64) (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) #s(literal 2 binary64))))))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (cos.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 4 binary64)))) (*.f64 (sin.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (sin.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 4 binary64))))) |
(-.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (neg.f64 (PI.f64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(cos.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal -2 binary64))))) |
(cos.f64 (+.f64 (+.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (+.f64 (-.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) (PI.f64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (neg.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal -2 binary64)))) |
(cos.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal -2 binary64))) |
(cos.f64 (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (cos.f64 (/.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64)))) #s(literal 0 binary64)) |
(+.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) #s(literal 0 binary64)) |
(+.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) #s(literal 1 binary64))) |
Compiled 26 872 to 3 359 computations (87.5% saved)
59 alts after pruning (53 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 712 | 18 | 730 |
| Fresh | 11 | 35 | 46 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 726 | 59 | 785 |
| Status | Accuracy | Program |
|---|---|---|
| 6.4% | (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 (/.f64 x y)))) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| 6.8% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| 41.6% | (/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| 8.8% | (/.f64 (/.f64 (sin.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y) (PI.f64)))) (neg.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| 4.9% | (/.f64 (-.f64 (pow.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) (sin.f64 (/.f64 x y))) | |
| 6.7% | (/.f64 (-.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y)))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| 4.5% | (/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) #s(literal -1 binary64)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) (*.f64 (sin.f64 (/.f64 x y)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))))) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x y)))) | |
| 4.5% | (/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) #s(literal -1 binary64)) (sin.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))))) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) | |
| 4.8% | (/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x y)))) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (cos.f64 (/.f64 x y)))) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x y))))) | |
| 4.5% | (/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))))) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) | |
| 3.9% | (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) | |
| 4.6% | (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| 4.4% | (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 x y)))) (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) | |
| 3.8% | (/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) | |
| 4.1% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))))) | |
| 4.9% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (-.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (neg.f64 (PI.f64))))))) | |
| 4.5% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 #s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64))))))) | |
| 4.5% | (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) #s(approx (sin (/ (/ x -2) y)) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) | |
| 4.3% | (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) (-.f64 (pow.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)))) (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 (/.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)))) (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))) (fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (PI.f64))))) | |
| 5.0% | (/.f64 (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (-.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (neg.f64 (PI.f64)))))) | |
| 6.3% | (/.f64 (tan.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (+.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))) (sin.f64 (neg.f64 (PI.f64)))))) | |
| 5.7% | (/.f64 (tan.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)))) | |
| ✓ | 4.5% | (/.f64 (tan.f64 (/.f64 #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) x)) y)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 41.8% | (/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| 4.4% | (/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) | |
| 34.5% | (/.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))) | |
| 4.5% | (-.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x y))) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x y))))) | |
| 4.5% | (-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x y)))) (/.f64 (/.f64 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x y))))) | |
| 3.5% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (-.f64 (cos.f64 (/.f64 (-.f64 x (/.f64 x #s(literal -2 binary64))) y)) (cos.f64 (/.f64 (+.f64 x (/.f64 x #s(literal -2 binary64))) y)))) #s(literal 2 binary64)) | |
| 3.1% | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (+.f64 (cos.f64 (/.f64 (+.f64 x (/.f64 x #s(literal 2 binary64))) y)) (sin.f64 (-.f64 (/.f64 x y) (/.f64 (+.f64 (/.f64 x y) (PI.f64)) #s(literal 2 binary64)))))) #s(literal 2 binary64)) | |
| 5.0% | #s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ (/ x -2) y)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (sin.f64 (/.f64 x y)))) | |
| 4.6% | #s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (cos (+ (/ (/ x y) 2) (/ (PI) 2))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64))))) (sin.f64 (/.f64 x y)))) | |
| ✓ | 6.5% | #s(approx (/ (tan (/ (/ x -2) y)) (sin (/ x (* y 2)))) #s(literal -1 binary64)) |
| 48.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) | |
| 51.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 53.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) #s(literal -1/2 binary64))) | |
| 51.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))))))) | |
| 53.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) #s(literal 4 binary64)))) | |
| 53.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (/.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64)))) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))) #s(literal 4 binary64)))) | |
| 53.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64))) (sin.f64 (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) | |
| ✓ | 54.0% | #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)))))) |
| 52.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) | |
| 51.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) | |
| 52.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) | |
| 53.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))) | |
| 53.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ 1/2 y) x) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64))))))) | |
| 53.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64))))))) | |
| 53.8% | #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)))) | |
| 53.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (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))))) | |
| ✓ | 53.6% | #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)))) |
| 53.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 53.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64))))))) | |
| 53.6% | #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 (PI.f64))))))) | |
| ✓ | 54.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))) |
| 52.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (neg.f64 (PI.f64))))))) | |
| 54.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* x (/ 1/2 y)) (PI)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))) | |
| 48.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ (* x (/ 1/2 y)) (PI))) (fma.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x #s(literal 0 binary64)) x #s(literal -1 binary64))))) | |
| 51.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))) | |
| ✓ | 54.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 4 863 to 1 686 computations (65.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ (/ x -2) y)) (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) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #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) #s(approx (cos (+ (* x (/ 1/2 y)) (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)))) |
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(-.f64 (pow.f64 (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x y))) #s(literal -1 binary64)) (/.f64 (cos.f64 (/.f64 x y)) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x y))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) #s(literal -1 binary64)) (sin.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))))) (pow.f64 (sin.f64 (/.f64 x y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) #s(literal -1 binary64)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) (*.f64 (sin.f64 (/.f64 x y)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))))) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x y)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y))) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (/.f64 (cos.f64 (/.f64 x y)) (sin.f64 (/.f64 x y))))) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x y)))) (/.f64 (/.f64 (pow.f64 (cos.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x y))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (/.f64 x y)) #s(literal -1 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x y)))) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (cos.f64 (/.f64 x y)))) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (*.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (/.f64 x y))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (*.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)))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) (cos.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) (sin.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))))))) |
(/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64)) (-.f64 (pow.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)))) (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 (/.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (sin.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 0 binary64)))) (neg.f64 (cos.f64 (/.f64 (/.f64 x y) #s(literal -2 binary64)))))) (fma.f64 (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (cos.f64 (PI.f64)) (*.f64 (cos.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)) (sin.f64 (PI.f64))))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
5 calls:
| 63.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 50.0ms | (*.f64 y #s(literal 2 binary64)) |
| 28.0ms | y |
| 27.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 25.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.7% | 2 | (*.f64 y #s(literal 2 binary64)) |
| 56.2% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 55.8% | 2 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 54.1% | 1 | x |
| 55.7% | 2 | 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 -2) y)) (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) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #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) #s(approx (cos (+ (* x (/ 1/2 y)) (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 #s(approx (+ (* x (/ 1/2 y)) (PI)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (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))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (PI.f64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (PI.f64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* -1/2 (/ x y)) (/ (PI) 2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x y) (PI.f64))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 #s(approx (+ (* (/ 1/2 y) x) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (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 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 x (/.f64 #s(literal 1/2 binary64) y)))))) |
(/.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 (+.f64 (neg.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 (+.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (PI.f64) #s(literal 2 binary64))) (PI.f64)) (PI.f64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (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))))) |
(/.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 #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))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) #s(literal -1/2 binary64))) |
(/.f64 (tan.f64 (/.f64 x (+.f64 y y))) #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)))) #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 #s(approx (/ x -2) (*.f64 #s(literal -1/2 binary64) 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 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 (tan.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)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (neg.f64 (PI.f64))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (exp.f64 (*.f64 (log.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)))) (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)))) (/.f64 #s(literal -1 binary64) (fma.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (neg.f64 (PI.f64))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) #s(approx (sin (/ (/ x -2) y)) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (-.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 (PI.f64))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 #s(approx (+ (/ (/ x y) 2) (/ (PI) 2)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64))))))) |
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (sin (/ (/ x -2) y)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (sin.f64 (/.f64 x y)))) |
(/.f64 (sin.f64 (/.f64 x y)) (*.f64 (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) |
(/.f64 (/.f64 (sin.f64 (/.f64 x y)) (+.f64 (cos.f64 (/.f64 x y)) #s(literal 1 binary64))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (sin.f64 (/.f64 x y))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (neg.f64 (sin.f64 (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(approx (/ (- 1 (cos (/ x y))) (* (sin (/ x y)) (cos (+ (/ (/ x y) 2) (/ (PI) 2))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x y) (PI.f64))))) (sin.f64 (/.f64 x y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (PI.f64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (fma.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64))) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) #s(literal -1 binary64))))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) #s(approx (sin (/ x (* y 2))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (*.f64 (sin.f64 (/.f64 x y)) (cos.f64 (+.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 x y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (PI.f64) #s(literal 2 binary64))))) (*.f64 (sin.f64 (/.f64 x y)) (sin.f64 (/.f64 (/.f64 x #s(literal -2 binary64)) y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y))) (-.f64 (cos.f64 (/.f64 (-.f64 x (/.f64 x #s(literal -2 binary64))) y)) (cos.f64 (/.f64 (+.f64 x (/.f64 x #s(literal -2 binary64))) y)))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* x (/ 1/2 y)) (PI)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (PI.f64)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
1 calls:
| 25.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.2% | 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 -2) y)) (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) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #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) #s(approx (cos (+ (* x (/ 1/2 y)) (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)) |
1 calls:
| 3.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.9% | 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 -2) y)) (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) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #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) #s(approx (cos (+ (* x (/ 1/2 y)) (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:
| 3.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.9% | 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 -2) y)) (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) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 #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) #s(approx (cos (+ (* x (/ 1/2 y)) (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)))) #s(literal 1 binary64)) |
4 calls:
| 30.0ms | y |
| 3.0ms | (*.f64 y #s(literal 2 binary64)) |
| 3.0ms | (/.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 |
|---|---|---|
| 54.1% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 54.1% | 1 | y |
| 54.1% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 54.1% | 1 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 22 to 19 computations (13.6% 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 | x |
| 1.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 1.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.1% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 3.1% | 1 | y |
| 3.1% | 1 | x |
| 3.1% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 3.1% | 1 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 23 to 21 computations (8.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.122738255012165e+152 | 1.1445104548319279e+153 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.732166560185707e+164 | 5.444396292783659e+166 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1195333624838904e+123 | 9.980791714827556e+123 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1195333624838904e+123 | 9.980791714827556e+123 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 223 |
| 1 | 76 | 223 |
| 2 | 106 | 223 |
| 3 | 148 | 223 |
| 4 | 202 | 223 |
| 5 | 272 | 223 |
| 6 | 361 | 223 |
| 7 | 632 | 223 |
| 8 | 1312 | 223 |
| 9 | 2855 | 223 |
| 10 | 6371 | 223 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 999999999999999899489893451833484927233458399740540420336951338855520357125044282616287570346763120896578585177704871391229197474064067196498264773607101557544845312 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* x (/ 1/2 y)) (PI)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (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 1999999999999999955419939462808259340115968595189843154784166645324982581779679772155733117683015263369515044141902701002752 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 1999999999999999955419939462808259340115968595189843154784166645324982581779679772155733117683015263369515044141902701002752 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))) |
#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 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (sin.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (PI.f64) #s(literal 2 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 999999999999999899489893451833484927233458399740540420336951338855520357125044282616287570346763120896578585177704871391229197474064067196498264773607101557544845312 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal -1 binary64) (cos.f64 #s(approx (+ (* x (/ 1/2 y)) (PI)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (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 1999999999999999955419939462808259340115968595189843154784166645324982581779679772155733117683015263369515044141902701002752 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 1999999999999999955419939462808259340115968595189843154784166645324982581779679772155733117683015263369515044141902701002752 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 1999999999999999955419939462808259340115968595189843154784166645324982581779679772155733117683015263369515044141902701002752 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 1999999999999999955419939462808259340115968595189843154784166645324982581779679772155733117683015263369515044141902701002752 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))) |
#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 | 1046 | 5293 |
| 1 | 3618 | 4907 |
| 0 | 8665 | 4655 |
| 0 | 45 | 207 |
| 0 | 71 | 189 |
| 1 | 203 | 184 |
| 2 | 1285 | 184 |
| 0 | 9096 | 184 |
| 0 | 8 | 33 |
| 0 | 13 | 17 |
| 1 | 29 | 17 |
| 2 | 118 | 17 |
| 3 | 824 | 7 |
| 0 | 10401 | 7 |
| 0 | 34 | 171 |
| 0 | 56 | 171 |
| 1 | 147 | 171 |
| 2 | 697 | 171 |
| 3 | 7738 | 171 |
| 0 | 8108 | 171 |
| 0 | 316 | 1576 |
| 1 | 1006 | 1536 |
| 2 | 4033 | 1498 |
| 0 | 8680 | 1395 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 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× | iter limit |
| 1× | node limit |
Compiled 223 to 60 computations (73.1% saved)
Compiled 788 to 304 computations (61.4% saved)
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