
Time bar (total: 10.5s)
| 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)
| 922.0ms | 4 060× | 1 | valid |
| 610.0ms | 4 196× | 0 | valid |
ival-div: 396.0ms (35.2% of total)ival-tan: 392.0ms (34.8% of total)ival-sin: 205.0ms (18.2% of total)ival-mult: 63.0ms (5.6% of total)adjust: 55.0ms (4.9% of total)ival-true: 7.0ms (0.6% of total)exact: 5.0ms (0.4% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 146 | 0 | - | 0 | - | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 145 | 1 | (1.1011107967946883e-243 1.3902868834660255e-247) | 0 | - | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 21 | 0 | - | 0 | - | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 2 binary64)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sin.f64 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | sensitivity | 146 | 0 |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | sensitivity | 146 | 0 |
/.f64 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | u/n | 21 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 21 | |
| ↳ | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 21 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 167 | 0 |
| - | 0 | 89 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 167 | 0 | 0 |
| - | 0 | 0 | 89 |
| number | freq |
|---|---|
| 0 | 89 |
| 1 | 21 |
| 2 | 146 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 52.0ms | 278× | 1 | valid |
| 16.0ms | 234× | 0 | valid |
Compiled 161 to 61 computations (62.1% saved)
ival-sin: 14.0ms (29% of total)ival-tan: 12.0ms (24.9% of total)ival-div: 10.0ms (20.7% of total)ival-mult: 7.0ms (14.5% of total)adjust: 4.0ms (8.3% of total)ival-true: 1.0ms (2.1% of total)ival-assert: 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 | 52 | 67 |
| 2 | 106 | 65 |
| 3 | 177 | 65 |
| 4 | 260 | 65 |
| 5 | 433 | 65 |
| 6 | 544 | 65 |
| 7 | 584 | 65 |
| 8 | 603 | 65 |
| 9 | 616 | 65 |
| 0 | 8 | 13 |
| 0 | 13 | 13 |
| 1 | 16 | 13 |
| 2 | 18 | 13 |
| 0 | 18 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(abs y)
(abs x)
Compiled 13 to 8 computations (38.5% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 42.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
Compiled 13 to 8 computations (38.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 x (*.f64 y #s(literal 2 binary64))) | |
| cost-diff | 0 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 36 |
| 0 | 13 | 36 |
| 1 | 16 | 36 |
| 2 | 18 | 36 |
| 0 | 18 | 36 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
x |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
x |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y #s(literal 2 binary64)) | |
| accuracy | 5.257870272067331 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 31.950641233556095 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 32.16820624831238 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 27.0ms | 139× | 1 | valid |
| 7.0ms | 117× | 0 | valid |
Compiled 74 to 18 computations (75.7% saved)
ival-tan: 10.0ms (40.1% of total)ival-sin: 6.0ms (24% of total)ival-div: 5.0ms (20% of total)adjust: 2.0ms (8% of total)ival-mult: 2.0ms (8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* 1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(sin (* 1/2 (/ x y))) |
(* 2 y) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5))))) (pow y 6))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/768 (/ (pow x 5) (pow y 4))) (* 1/384 (/ (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 6))))))))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(- (+ 1 (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (+ (* -2 (/ (- (* 1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))))) (+ (* 1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 4.0ms | y | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 2.0ms | x | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 2.0ms | x | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 2.0ms | x | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 1577 |
| 1 | 950 | 1551 |
| 2 | 3389 | 1449 |
| 0 | 9127 | 1340 |
| 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)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) x (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/48 binary64)) (pow.f64 y #s(literal 3 binary64)))) |
(* 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)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) x) y) (/.f64 x y) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal 1/24 binary64) (*.f64 y x)) #s(literal 1 binary64))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/960 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #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 (/.f64 #s(literal 2 binary64) x) (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 7 binary64)) #s(literal -1/645120 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/960 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (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)))) (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/960 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (*.f64 x x) (+.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/960 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) x) #s(literal 2 binary64) (fma.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 #s(literal -1/1920 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/322560 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) x) #s(literal 2 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/1920 binary64) (/.f64 #s(literal 1/1920 binary64) (pow.f64 y #s(literal 4 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 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) y) (fma.f64 #s(literal 1/2 binary64) x (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 (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) x) (/.f64 #s(literal -1/8 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 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/768 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 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/960 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal -1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal -1/92160 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 1/768 binary64) (pow.f64 y #s(literal 4 binary64))))))))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) y) |
(/ (+ (* -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)))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) x) y) (/.f64 x y) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) x) (/.f64 #s(literal -1/24 binary64) (*.f64 y y)) #s(literal 1 binary64))) |
(- (+ 1 (+ (* -2 (/ (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5)))) (* x (pow y 4)))) (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) (* x (pow y 2)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/24 binary64) y) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/960 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x))) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (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))) #s(literal -1/24 binary64) (/.f64 #s(literal -1/24 binary64) (*.f64 y y))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #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 (/.f64 #s(literal -2 binary64) x) (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)) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/960 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x))) (fma.f64 #s(literal -1/384 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/960 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) #s(literal -2 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (*.f64 x x) (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/960 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x))) x) #s(literal -2 binary64) (fma.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 #s(literal -1/1920 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 y #s(literal 6 binary64))) (/.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 (/.f64 x y) (/.f64 x y))) (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1/322560 binary64) (*.f64 (pow.f64 x #s(literal 4 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 6 binary64))) #s(literal 1/1920 binary64) (/.f64 #s(literal 1/1920 binary64) (pow.f64 y #s(literal 4 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 (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) x) x) (/.f64 #s(literal -1/8 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 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/768 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)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -1/24 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/960 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))) (*.f64 x x))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal -1/768 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal 7 binary64)) (/.f64 #s(literal 1/92160 binary64) (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) (*.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 6 binary64))))))))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 (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: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 33 |
| 0 | 13 | 33 |
| 1 | 33 | 33 |
| 2 | 142 | 28 |
| 3 | 788 | 28 |
| 0 | 8171 | 28 |
| 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 |
|---|
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(*.f64 (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)))) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) |
(*.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(*.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(*.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(*.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64)))) |
(*.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
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(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)))) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) #s(literal -1 binary64)) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64)))) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) |
(/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64)) |
(neg.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(fma.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 1 binary64) #s(literal 0 binary64)) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)))) |
(+.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(+.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 0 binary64)) |
Compiled 12 671 to 1 818 computations (85.7% saved)
57 alts after pruning (56 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 513 | 56 | 569 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 513 | 57 | 570 |
| Status | Accuracy | Program |
|---|---|---|
| 46.6% | (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 48.1% | (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1/2 binary64)) | |
| 40.1% | (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| 26.9% | (/.f64 (/.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.0% | (/.f64 (/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 (neg.f64 x) y))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 20.7% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 20.7% | (/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.1% | (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 36.5% | (/.f64 (*.f64 (pow.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.0% | (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.8% | (/.f64 (tan.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 35.7% | (/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.4% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 25.9% | (/.f64 (tan.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y))) (*.f64 #s(literal -2 binary64) y)) (*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 20.5% | (/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 15.4% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 16.3% | (/.f64 (tan.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 23.8% | (/.f64 (tan.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 #s(literal -2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 23.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64)))) |
| 35.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64)))) | |
| 41.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) | |
| 25.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y))) (*.f64 #s(literal -2 binary64) y)) (*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -2 binary64) (/.f64 x y)))))) | |
| 17.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))))))) | |
| 24.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) | |
| 20.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))) | |
| 15.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))) | |
| 23.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)))) | |
| ▶ | 41.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))))) |
| 41.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))) | |
| ✓ | 42.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 37.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))))))) | |
| 39.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 41.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))))) | |
| 40.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x)))) | |
| 18.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) y)))) | |
| 41.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 35.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 31.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) y))) | |
| 37.3% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.3% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.8% | (/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.7% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.6% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.5% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 35.8% | (/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 20.9% | (/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) | |
| 27.2% | (/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 34.0% | (/.f64 (exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.5% | (/.f64 #s(approx (tan (/ x (* y 2))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 35.5% | (/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 50.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
| 36.4% | (*.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) | |
| 40.1% | (*.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) | |
| 26.9% | (*.f64 (/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) | |
| 40.1% | (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) | |
| 50.0% | #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)))) | |
| ▶ | 48.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 2 295 to 1 610 computations (29.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))))) | |
| cost-diff | 14656 | (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 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 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64)))) | |
| cost-diff | 320 | (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 64 | (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) | |
| cost-diff | 640 | (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64))) | |
| cost-diff | 768 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y)) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) | |
| cost-diff | 0 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 329 |
| 0 | 70 | 348 |
| 1 | 108 | 319 |
| 2 | 260 | 255 |
| 3 | 1207 | 242 |
| 4 | 3403 | 242 |
| 5 | 5560 | 242 |
| 0 | 8189 | 242 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
x |
y |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) |
#s(literal 0 binary64) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
y |
(*.f64 x #s(literal -1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 #s(literal -2 binary64) y) 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 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 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 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(/.f64 (*.f64 #s(literal 2 binary64) y) x) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal -1/2 binary64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 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 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))))) |
(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 x y) |
x |
y |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 x) y) |
#s(literal 0 binary64) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 y x) |
(*.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
y |
(*.f64 x #s(literal -1/2 binary64)) |
x |
#s(literal -1/2 binary64) |
(*.f64 (*.f64 #s(literal -2 binary64) y) y) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64)))) |
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (pow.f64 (*.f64 (/.f64 (/.f64 y x) x) (*.f64 #s(literal 4 binary64) y)) #s(literal -1/2 binary64)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
x |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
(sin.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64))) |
(sin.f64 (pow.f64 (*.f64 (/.f64 (/.f64 y x) x) (*.f64 #s(literal 4 binary64) y)) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 y x) x) (*.f64 #s(literal 4 binary64) y)) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(*.f64 (/.f64 (/.f64 y x) x) (*.f64 #s(literal 4 binary64) y)) |
(/.f64 (*.f64 #s(literal 2 binary64) y) x) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal -1/2 binary64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
x |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 2 binary64) y) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal -1/2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.30078125 | (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) | |
| accuracy | 5.257870272067331 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))))) | |
| accuracy | 31.950641233556095 | (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))))) | |
| accuracy | 32.16820624831238 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 5.257870272067331 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64)))) | |
| accuracy | 19.482519291935397 | (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64)) | |
| accuracy | 31.950641233556095 | (sin.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64))) | |
| accuracy | 32.16820624831238 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 5.257870272067331 | (/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 22.73386158231007 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y)) | |
| accuracy | 31.950641233556095 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 32.16820624831238 | (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))) | |
| accuracy | 33.00360092216681 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) | |
| accuracy | 0.09375 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) | |
| accuracy | 31.710479626697197 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
| 183.0ms | 139× | 1 | valid |
| 37.0ms | 117× | 0 | valid |
Compiled 658 to 80 computations (87.8% saved)
ival-pow: 36.0ms (24.5% of total)ival-div: 32.0ms (21.8% of total)ival-mult: 25.0ms (17% of total)ival-sin: 19.0ms (13% of total)ival-tan: 16.0ms (10.9% of total)ival-cos: 10.0ms (6.8% of total)adjust: 7.0ms (4.8% of total)ival-sub: 2.0ms (1.4% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y)) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))))) |
(tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64)) |
(sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 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 y) |
(* 1/2 (/ x y)) |
(* x y) |
(* -1 (* x y)) |
(* 4 (/ (pow y 2) (pow x 2))) |
(* 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 (pow (sqrt 1/2) 2)) |
(+ (* (pow x 2) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2)))) |
(+ (* (pow x 2) (- (+ (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* (pow x 2) (- (* 1/240 (/ 1 (* (pow y 4) (pow (sqrt 1/2) 2)))) (+ (* -1/6 (/ (* (pow (sqrt 1/2) 4) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (pow y 2))) (* 1/240 (/ (pow (sqrt 1/2) 6) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2)))) |
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(* 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 (pow (sqrt 1/2) 2)) y) |
(* x (+ (* -1/6 (/ (* (pow x 2) (pow (sqrt 1/2) 6)) (pow y 3))) (/ (pow (sqrt 1/2) 2) y))) |
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* 1/120 (/ (* (pow x 2) (pow (sqrt 1/2) 10)) (pow y 5))))) (/ (pow (sqrt 1/2) 2) y))) |
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (sqrt 1/2) 14)) (pow y 7))) (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (/ (pow (sqrt 1/2) 2) y))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(cos (* -1/2 (/ x y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ (* x (pow (sqrt 1/2) 2)) y)))) |
(sin (* 1/2 (/ x y))) |
(sin (/ (* x (pow (sqrt 1/2) 2)) y)) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y))))) |
(sin (* -1/2 (/ x y))) |
(/ y (pow (sqrt 1/2) 2)) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(+ 1 (+ (* -1/8 (/ (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 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
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(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y) |
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(/ (+ (* -1/48 (/ (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) |
(/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* x (pow (sqrt 1/2) 2))) y) |
(/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2)))) y) |
(/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2))))) 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 |
(- (* 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 (/ (- (+ (* -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 (/ y (pow (sqrt -1/2) 2))) |
(/ -1/2 (pow (sqrt -1/2) 2)) |
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(* -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 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* x (pow (sqrt -1/2) 2))) y)) |
(* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2)))) y)) |
(* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt -1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2))))) y)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 54.0ms | x | @ | inf | ((/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y)) (* (* -2 y) (* x -1/2)) (- 0 (* (* -2 y) (* x -1/2))) (/ (tan (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (sin (/ x (* y 2)))) (* (/ (* 2 y) x) (/ (* 2 y) x)) (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2)) (/ (tan (/ x (* y 2))) (sin (/ x (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2))))) (tan (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (sin (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2)) (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2) (sin (/ x (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2))))) |
| 9.0ms | y | @ | -inf | ((/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y)) (* (* -2 y) (* x -1/2)) (- 0 (* (* -2 y) (* x -1/2))) (/ (tan (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (sin (/ x (* y 2)))) (* (/ (* 2 y) x) (/ (* 2 y) x)) (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2)) (/ (tan (/ x (* y 2))) (sin (/ x (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2))))) (tan (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (sin (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2)) (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2) (sin (/ x (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2))))) |
| 9.0ms | y | @ | inf | ((/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y)) (* (* -2 y) (* x -1/2)) (- 0 (* (* -2 y) (* x -1/2))) (/ (tan (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (sin (/ x (* y 2)))) (* (/ (* 2 y) x) (/ (* 2 y) x)) (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2)) (/ (tan (/ x (* y 2))) (sin (/ x (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2))))) (tan (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (sin (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2)) (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2) (sin (/ x (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2))))) |
| 5.0ms | x | @ | 0 | ((/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y)) (* (* -2 y) (* x -1/2)) (- 0 (* (* -2 y) (* x -1/2))) (/ (tan (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (sin (/ x (* y 2)))) (* (/ (* 2 y) x) (/ (* 2 y) x)) (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2)) (/ (tan (/ x (* y 2))) (sin (/ x (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2))))) (tan (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (sin (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2)) (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2) (sin (/ x (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2))))) |
| 5.0ms | x | @ | -inf | ((/ 1 (cos (* -1/2 (/ x y)))) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (/ x y) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y)) (* (* -2 y) (* x -1/2)) (- 0 (* (* -2 y) (* x -1/2))) (/ (tan (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (sin (/ x (* y 2)))) (* (/ (* 2 y) x) (/ (* 2 y) x)) (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (tan (/ x (* y 2))) (/ x (* y 2)) (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2)) (/ (tan (/ x (* y 2))) (sin (/ x (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2))))) (tan (/ (- 0 (* (* -2 y) (* x -1/2))) (* (* -2 y) y))) (sin (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2)) (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2) (sin (/ x (/ (/ 1 (pow (* 2 y) -1/2)) (pow (* 2 y) -1/2))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 724 | 4282 |
| 1 | 2198 | 3729 |
| 0 | 8525 | 3490 |
| 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 y) |
(* 1/2 (/ x y)) |
(* x y) |
(* -1 (* x y)) |
(* 4 (/ (pow y 2) (pow x 2))) |
(* 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 (pow (sqrt 1/2) 2)) |
(+ (* (pow x 2) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2)))) |
(+ (* (pow x 2) (- (+ (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* (pow x 2) (- (* 1/240 (/ 1 (* (pow y 4) (pow (sqrt 1/2) 2)))) (+ (* -1/6 (/ (* (pow (sqrt 1/2) 4) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (pow y 2))) (* 1/240 (/ (pow (sqrt 1/2) 6) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2)))) |
(+ (* (pow x 2) (- (+ (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* (pow x 2) (- (+ (* 1/240 (/ 1 (* (pow y 4) (pow (sqrt 1/2) 2)))) (* (pow x 2) (- (* 17/40320 (/ 1 (* (pow y 6) (pow (sqrt 1/2) 2)))) (+ (* -1/6 (/ (* (pow (sqrt 1/2) 4) (- (* 1/240 (/ 1 (* (pow y 4) (pow (sqrt 1/2) 2)))) (+ (* -1/6 (/ (* (pow (sqrt 1/2) 4) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (pow y 2))) (* 1/240 (/ (pow (sqrt 1/2) 6) (pow y 4)))))) (pow y 2))) (+ (* -1/10080 (/ (pow (sqrt 1/2) 10) (pow y 6))) (* 1/120 (/ (* (pow (sqrt 1/2) 8) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (pow y 4)))))))) (+ (* -1/6 (/ (* (pow (sqrt 1/2) 4) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (pow y 2))) (* 1/240 (/ (pow (sqrt 1/2) 6) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (* 1/2 (/ 1 (pow (sqrt 1/2) 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)))) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(* x (+ (* -1/6 (/ (* (pow x 2) (pow (sqrt 1/2) 6)) (pow y 3))) (/ (pow (sqrt 1/2) 2) y))) |
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* 1/120 (/ (* (pow x 2) (pow (sqrt 1/2) 10)) (pow y 5))))) (/ (pow (sqrt 1/2) 2) y))) |
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (sqrt 1/2) 14)) (pow y 7))) (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (/ (pow (sqrt 1/2) 2) y))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(cos (* -1/2 (/ x y))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ (* x (pow (sqrt 1/2) 2)) y)))) |
(sin (* 1/2 (/ x y))) |
(sin (/ (* x (pow (sqrt 1/2) 2)) y)) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y))))) |
(sin (* -1/2 (/ x y))) |
(/ y (pow (sqrt 1/2) 2)) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(+ 1 (+ (* -1/8 (/ (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 (/ (- (* -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 2) (* (pow y 2) (pow (sqrt 1/2) 2)))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2)))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (* -1/16 (/ (pow x 2) (* (pow y 2) (pow (sqrt 1/2) 2)))))) |
(- (+ (* -1/48 (/ (pow x 2) (* (pow y 2) (pow (sqrt 1/2) 2)))) (+ (* 1/3840 (/ (pow x 4) (* (pow y 4) (pow (sqrt 1/2) 2)))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2))))) (+ (* -1/6 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/48 (/ (pow x 2) (pow (sqrt 1/2) 2))) (+ (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))) (* -1/16 (/ (pow x 2) (pow (sqrt 1/2) 2))))))) (pow y 4))) (+ (* -1/8 (/ (* x (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (* (pow y 4) (pow (sqrt 1/2) 2)))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/16 (/ (pow x 2) (* (pow y 2) (pow (sqrt 1/2) 2)))) (+ (* 1/768 (/ (pow x 4) (* (pow y 4) (pow (sqrt 1/2) 2)))) (* 1/240 (/ (* (pow x 4) (pow (sqrt 1/2) 6)) (pow y 4))))))))) |
(- (+ (* -1/48 (/ (pow x 2) (* (pow y 2) (pow (sqrt 1/2) 2)))) (+ (* -1/645120 (/ (pow x 6) (* (pow y 6) (pow (sqrt 1/2) 2)))) (+ (* 1/3840 (/ (pow x 4) (* (pow y 4) (pow (sqrt 1/2) 2)))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2)))))) (+ (* -1/6 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/48 (/ (pow x 2) (pow (sqrt 1/2) 2))) (+ (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))) (* -1/16 (/ (pow x 2) (pow (sqrt 1/2) 2))))))) (pow y 4))) (+ (* -1/6 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/3840 (/ (pow x 4) (pow (sqrt 1/2) 2))) (+ (* -1/6 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/48 (/ (pow x 2) (pow (sqrt 1/2) 2))) (+ (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))) (* -1/16 (/ (pow x 2) (pow (sqrt 1/2) 2)))))))) (+ (* -1/8 (/ (* x (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow (sqrt 1/2) 2))) (+ (* 1/768 (/ (pow x 4) (pow (sqrt 1/2) 2))) (* 1/240 (* (pow x 4) (pow (sqrt 1/2) 6))))))))) (pow y 6))) (+ (* -1/8 (/ (* x (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (* (pow y 4) (pow (sqrt 1/2) 2)))) (+ (* -1/8 (/ (* x (- (* 1/3840 (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) (pow (sqrt 1/2) 2)))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/16 (/ (pow x 2) (* (pow y 2) (pow (sqrt 1/2) 2)))) (+ (* -1/10080 (/ (* (pow x 6) (pow (sqrt 1/2) 10)) (pow y 6))) (+ (* -1/92160 (/ (pow x 6) (* (pow y 6) (pow (sqrt 1/2) 2)))) (+ (* 1/768 (/ (pow x 4) (* (pow y 4) (pow (sqrt 1/2) 2)))) (+ (* 1/384 (/ (* (pow x 3) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (* (pow y 6) (pow (sqrt 1/2) 2)))) (+ (* 1/240 (/ (* (pow x 4) (pow (sqrt 1/2) 6)) (pow y 4))) (* 1/120 (/ (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/48 (/ (pow x 2) (pow (sqrt 1/2) 2))) (+ (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))) (* -1/16 (/ (pow x 2) (pow (sqrt 1/2) 2))))))) (pow y 6))))))))))))))) |
(/ (+ (* -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) |
(/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* x (pow (sqrt 1/2) 2))) y) |
(/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2)))) y) |
(/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))) (* x (pow (sqrt 1/2) 2))))) 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 |
(- (* 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 (/ (- (+ (* -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 (/ y (pow (sqrt -1/2) 2))) |
(/ -1/2 (pow (sqrt -1/2) 2)) |
(- (* 1/48 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1/2) 2)))) (+ (* 1/16 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1/2) 2)))) (+ (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))) (* 1/2 (/ 1 (pow (sqrt -1/2) 2)))))) |
(- (+ (* -1/3840 (/ (pow x 4) (* (pow y 4) (pow (sqrt -1/2) 2)))) (* 1/48 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1/2) 2))))) (+ (* -1/6 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/48 (/ (pow x 2) (pow (sqrt -1/2) 2))) (+ (* 1/16 (/ (pow x 2) (pow (sqrt -1/2) 2))) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))))) (pow y 4))) (+ (* -1/8 (/ (* x (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (* (pow y 4) (pow (sqrt -1/2) 2)))) (+ (* -1/240 (/ (* (pow x 4) (pow (sqrt -1/2) 6)) (pow y 4))) (+ (* -1/768 (/ (pow x 4) (* (pow y 4) (pow (sqrt -1/2) 2)))) (+ (* 1/16 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1/2) 2)))) (+ (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))) (* 1/2 (/ 1 (pow (sqrt -1/2) 2)))))))))) |
(- (+ (* -1/3840 (/ (pow x 4) (* (pow y 4) (pow (sqrt -1/2) 2)))) (+ (* 1/645120 (/ (pow x 6) (* (pow y 6) (pow (sqrt -1/2) 2)))) (* 1/48 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1/2) 2)))))) (+ (* -1/6 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/3840 (/ (pow x 4) (pow (sqrt -1/2) 2))) (+ (* -1/6 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/48 (/ (pow x 2) (pow (sqrt -1/2) 2))) (+ (* 1/16 (/ (pow x 2) (pow (sqrt -1/2) 2))) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2)))))))) (+ (* -1/8 (/ (* x (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow (sqrt -1/2) 2))) (+ (* -1/240 (* (pow x 4) (pow (sqrt -1/2) 6))) (* -1/768 (/ (pow x 4) (pow (sqrt -1/2) 2))))))))) (pow y 6))) (+ (* -1/6 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/48 (/ (pow x 2) (pow (sqrt -1/2) 2))) (+ (* 1/16 (/ (pow x 2) (pow (sqrt -1/2) 2))) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))))) (pow y 4))) (+ (* -1/8 (/ (* x (- (* -1/3840 (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) (pow (sqrt -1/2) 2)))) (+ (* -1/8 (/ (* x (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (* (pow y 4) (pow (sqrt -1/2) 2)))) (+ (* -1/240 (/ (* (pow x 4) (pow (sqrt -1/2) 6)) (pow y 4))) (+ (* -1/768 (/ (pow x 4) (* (pow y 4) (pow (sqrt -1/2) 2)))) (+ (* 1/92160 (/ (pow x 6) (* (pow y 6) (pow (sqrt -1/2) 2)))) (+ (* 1/10080 (/ (* (pow x 6) (pow (sqrt -1/2) 10)) (pow y 6))) (+ (* 1/384 (/ (* (pow x 3) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (* (pow y 6) (pow (sqrt -1/2) 2)))) (+ (* 1/120 (/ (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* 1/48 (/ (pow x 2) (pow (sqrt -1/2) 2))) (+ (* 1/16 (/ (pow x 2) (pow (sqrt -1/2) 2))) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))))) (pow y 6))) (+ (* 1/16 (/ (pow x 2) (* (pow y 2) (pow (sqrt -1/2) 2)))) (+ (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))) (* 1/2 (/ 1 (pow (sqrt -1/2) 2)))))))))))))))) |
(* -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 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* x (pow (sqrt -1/2) 2))) y)) |
(* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2)))) y)) |
(* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt -1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2))))) 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 (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 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (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 #s(literal -1/2 binary64) (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* 4 (/ (pow y 2) (pow x 2))) |
(*.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 y y) x)) |
(* x (+ (* 1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 3 binary64))) x) x (/.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)))) |
(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)) |
(/ 1/2 (pow (sqrt 1/2) 2)) |
#s(literal 1 binary64) |
(+ (* (pow x 2) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 y y)) (/.f64 #s(literal -1/24 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ (* (pow x 2) (- (+ (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* (pow x 2) (- (* 1/240 (/ 1 (* (pow y 4) (pow (sqrt 1/2) 2)))) (+ (* -1/6 (/ (* (pow (sqrt 1/2) 4) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (pow y 2))) (* 1/240 (/ (pow (sqrt 1/2) 6) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 y y)) (/.f64 #s(literal -1/24 binary64) (*.f64 y y))) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 6 binary64)) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 x x) (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 y y)) (/.f64 #s(literal -1/24 binary64) (*.f64 y y)))) (*.f64 x x) #s(literal 1 binary64)) |
(+ (* (pow x 2) (- (+ (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* (pow x 2) (- (+ (* 1/240 (/ 1 (* (pow y 4) (pow (sqrt 1/2) 2)))) (* (pow x 2) (- (* 17/40320 (/ 1 (* (pow y 6) (pow (sqrt 1/2) 2)))) (+ (* -1/6 (/ (* (pow (sqrt 1/2) 4) (- (* 1/240 (/ 1 (* (pow y 4) (pow (sqrt 1/2) 2)))) (+ (* -1/6 (/ (* (pow (sqrt 1/2) 4) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (pow y 2))) (* 1/240 (/ (pow (sqrt 1/2) 6) (pow y 4)))))) (pow y 2))) (+ (* -1/10080 (/ (pow (sqrt 1/2) 10) (pow y 6))) (* 1/120 (/ (* (pow (sqrt 1/2) 8) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (pow y 4)))))))) (+ (* -1/6 (/ (* (pow (sqrt 1/2) 4) (- (* 1/24 (/ 1 (* (pow y 2) (pow (sqrt 1/2) 2)))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (pow y 2))) (* 1/240 (/ (pow (sqrt 1/2) 6) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2))))) (* 1/2 (/ 1 (pow (sqrt 1/2) 2)))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 17/20160 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 y y)) (/.f64 #s(literal -1/24 binary64) (*.f64 y y))) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 6 binary64)) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 y y))) #s(literal -1/6 binary64) (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 8 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 y y)) (/.f64 #s(literal -1/24 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 10 binary64)) #s(literal -1/10080 binary64)) (pow.f64 y #s(literal 6 binary64)))))) (*.f64 x x) (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 y y)) (/.f64 #s(literal -1/24 binary64) (*.f64 y y))) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 6 binary64)) #s(literal 1/240 binary64)) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 x x) (-.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 y y)) (/.f64 #s(literal -1/24 binary64) (*.f64 y y)))) (*.f64 x x) #s(literal 1 binary64)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y)) 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)) |
(/ (* x (pow (sqrt 1/2) 2)) y) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* x (+ (* -1/6 (/ (* (pow x 2) (pow (sqrt 1/2) 6)) (pow y 3))) (/ (pow (sqrt 1/2) 2) y))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x) |
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* 1/120 (/ (* (pow x 2) (pow (sqrt 1/2) 10)) (pow y 5))))) (/ (pow (sqrt 1/2) 2) y))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 10 binary64)) (pow.f64 y #s(literal 5 binary64))) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 6 binary64)) #s(literal -1/6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x) |
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (sqrt 1/2) 14)) (pow y 7))) (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (/ (pow (sqrt 1/2) 2) y))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 14 binary64)) (pow.f64 y #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 10 binary64)) #s(literal 1/120 binary64)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 6 binary64)) #s(literal -1/6 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 #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 (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))) (* (cos (* 1/2 (/ x y))) (sin (/ (* x (pow (sqrt 1/2) 2)) y)))) |
(/.f64 (/.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 (/.f64 #s(literal 1/2 binary64) y) x))) |
(sin (* 1/2 (/ x y))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(sin (/ (* x (pow (sqrt 1/2) 2)) y)) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
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(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* x (pow (sqrt -1/2) 2))) y)) |
(/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2)))) y)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 10 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) x))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* -1/5040 (/ (* (pow x 7) (pow (sqrt -1/2) 14)) (pow y 6))) (+ (* 1/120 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))) (* x (pow (sqrt -1/2) 2))))) y)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) y) y) (fma.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 14 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 10 binary64)) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/120 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (neg.f64 y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 235 |
| 0 | 70 | 184 |
| 1 | 227 | 167 |
| 2 | 1320 | 118 |
| 0 | 8750 | 118 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y)) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))))) |
(tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64)) |
(sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))))) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (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))) |
(*.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)) #s(literal 1 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))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 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 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (*.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 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal 1 binary64)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(-.f64 #s(literal 0 binary64) (/.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 (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (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 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 (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))))) |
(/.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal 3 binary64))) (fma.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (-.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 (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))))))) |
(/.f64 (+.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(fma.f64 (neg.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))) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) |
(fma.f64 (neg.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 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (*.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) |
(fma.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
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(fma.f64 (*.f64 #s(literal -2 binary64) y) (neg.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 (/.f64 #s(literal -1/2 binary64) y) y)) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y) #s(literal 0 binary64))) |
(fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 (/.f64 #s(literal -1/2 binary64) y) y)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y) #s(literal 0 binary64))) |
(fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y) #s(literal 0 binary64))) |
(fma.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))) #s(literal 0 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) y) y)) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y) #s(literal 0 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) y) y)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y) #s(literal 0 binary64))) |
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 0 binary64)) |
(fma.f64 y (*.f64 x (neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y) #s(literal 0 binary64))) |
(fma.f64 y (*.f64 x (neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))) #s(literal 0 binary64)) |
(fma.f64 y (neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y) #s(literal 0 binary64))) |
(fma.f64 y (neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y))) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 y (neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y) #s(literal 0 binary64))) |
(fma.f64 x (*.f64 y (neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y) #s(literal 0 binary64))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) (neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 y x) #s(literal -2 binary64)) (neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 y x)) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 y x)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -2 binary64)) #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) y) y) x) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) y) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) y) y) x)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) y) y) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (*.f64 (*.f64 y y) (*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(exp.f64 (fma.f64 (log.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))) #s(literal -1/4 binary64) (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))) #s(literal -1/4 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))) #s(literal -1/4 binary64) (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64) (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))) #s(literal -1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal 4 binary64))) #s(literal -1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) y) #s(literal 0 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) (*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) (fma.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (fma.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (*.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64))) |
(neg.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(neg.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(fma.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(fma.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) |
(fma.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (neg.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
Compiled 31 813 to 5 213 computations (83.6% saved)
80 alts after pruning (77 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 244 | 55 | 1 299 |
| Fresh | 29 | 22 | 51 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 276 | 80 | 1 356 |
| Status | Accuracy | Program |
|---|---|---|
| 46.5% | (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 48.2% | (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal -1/2 binary64)) | |
| 26.9% | (/.f64 (/.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 42.0% | (/.f64 (/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 (neg.f64 x) y))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 20.7% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 20.7% | (/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 23.5% | (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64)))) | |
| 36.5% | (/.f64 (*.f64 (pow.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.6% | (/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))))) | |
| 35.7% | (/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 21.8% | (/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.9% | (/.f64 (tan.f64 (/.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.4% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 15.4% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.3% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) x) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 20.5% | (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.2% | (/.f64 (tan.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -2 binary64)) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 23.8% | (/.f64 (tan.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 #s(literal -2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 21.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1/2 binary64)))) | |
| 23.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 #s(literal 4 binary64) (/.f64 y x))) #s(literal -1/2 binary64)))) | |
| 35.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64)))) | |
| 41.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) | |
| 20.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))) | |
| 23.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)))) | |
| 40.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)) #s(literal -4 binary64))))) | |
| 41.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))))) | |
| 40.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1/4 binary64)))))) | |
| 40.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) | |
| 41.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 37.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64))))))) | |
| ✓ | 42.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 37.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 39.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 41.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 35.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 4.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) | |
| 37.3% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.3% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.2% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 40.2% | (/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 41.5% | (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.9% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.5% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.3% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.0% | (/.f64 (tan.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.3% | (/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 y y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.1% | (/.f64 (tan.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal -1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 18.3% | (/.f64 (tan.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 35.8% | (/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.8% | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) | |
| 27.2% | (/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) | |
| 50.0% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal 3 binary64))) (fma.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (-.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 (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)))))))) | |
| 40.1% | (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))) | |
| 41.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 y x) y) (*.f64 #s(literal -2 binary64) y)))) | |
| 49.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) | |
| 49.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) | |
| 37.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))) | |
| 49.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) | |
| 50.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| ▶ | 50.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
| 50.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| 41.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y))))) | |
| 37.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) | |
| 37.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 y x) (/.f64 (/.f64 #s(literal -1/2 binary64) y) y)))) | |
| 49.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)))))) | |
| ▶ | 50.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))) |
| 42.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y))))) | |
| 43.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y (*.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))))) | |
| 43.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) y)))))) | |
| ✓ | 50.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
| 49.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))))) | |
| 49.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))))) | |
| 41.8% | (/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) | |
| 36.4% | (*.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) | |
| 39.8% | (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64))) | |
| 39.8% | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) | |
| ▶ | 40.1% | (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
| 4.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (/.f64 (/.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 #s(literal -1/2 binary64) (/.f64 x y))))) | |
| ▶ | 7.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64)) |
| ✓ | 48.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 3 042 to 2 170 computations (28.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 y #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) | |
| cost-diff | 0 | (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 0 | (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (cos.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))) | |
| cost-diff | 12992 | (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) | |
| cost-diff | 0 | (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) | |
| cost-diff | 128 | (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) | |
| cost-diff | 320 | (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) | |
| cost-diff | 0 | (cos.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| cost-diff | 2624 | (*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))) |
Useful iterations: 14 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 310 |
| 0 | 77 | 313 |
| 1 | 120 | 310 |
| 2 | 228 | 302 |
| 3 | 465 | 266 |
| 4 | 712 | 260 |
| 5 | 895 | 260 |
| 6 | 1307 | 260 |
| 7 | 1517 | 260 |
| 8 | 2090 | 260 |
| 9 | 2344 | 260 |
| 10 | 2561 | 260 |
| 11 | 2828 | 260 |
| 12 | 3083 | 260 |
| 13 | 3542 | 260 |
| 14 | 5109 | 259 |
| 15 | 6449 | 259 |
| 16 | 7237 | 259 |
| 17 | 7381 | 259 |
| 18 | 7426 | 259 |
| 19 | 7452 | 259 |
| 20 | 7994 | 259 |
| 0 | 8086 | 259 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) |
(*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) |
x |
(sqrt.f64 (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) |
#s(literal -1 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
#s(literal 1/2 binary64) |
(/.f64 x y) |
x |
y |
(/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
#s(literal -1 binary64) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
x |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
(neg.f64 (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) |
(pow.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal -1/2 binary64) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))) |
(pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) |
#s(literal 4 binary64) |
#s(literal -1/4 binary64) |
(/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) |
x |
(sqrt.f64 (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) |
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) |
x |
(sqrt.f64 (*.f64 #s(literal 2 binary64) y)) |
(sqrt.f64 (*.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
y |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) |
#s(literal -1 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(tan.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
#s(literal 1/2 binary64) |
(/.f64 x y) |
x |
y |
(/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(literal -1 binary64) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) |
(cos.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal 1/2 binary64)) |
x |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
(neg.f64 (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) x) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(tan.f64 (*.f64 (/.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) x) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) |
(*.f64 (/.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) x) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (pow.f64 y #s(literal -1/2 binary64))) |
(pow.f64 y #s(literal -1/2 binary64)) |
y |
#s(literal -1/2 binary64) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) x) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) |
(pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) |
#s(literal 4 binary64) |
#s(literal -1/4 binary64) |
(/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) |
x |
(sqrt.f64 (*.f64 #s(literal 2 binary64) y)) |
(sqrt.f64 (*.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3903312988422101 | (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))) | |
| accuracy | 5.257870272067331 | (/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 31.950641233556095 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 32.16820624831238 | (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| accuracy | 0.09375 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))) | |
| accuracy | 0.25390625 | (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) | |
| accuracy | 0.26009750976844204 | (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) | |
| accuracy | 31.710479626697197 | (cos.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) | |
| accuracy | 0.19140625 | (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) | |
| accuracy | 6.545311531835773 | (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| accuracy | 31.950641233556095 | (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) | |
| accuracy | 32.16820624831238 | (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) | |
| accuracy | 59.27726004145612 | #s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64)) | |
| accuracy | 0.22265625 | (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 0.28419877930532605 | (*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))) | |
| accuracy | 0.2890625 | (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 31.710479626697197 | (cos.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) |
| 270.0ms | 139× | 1 | valid |
| 60.0ms | 117× | 0 | valid |
Compiled 620 to 96 computations (84.5% saved)
ival-mult: 113.0ms (40% of total)ival-pow: 77.0ms (27.2% of total)ival-sin: 24.0ms (8.5% of total)ival-div: 23.0ms (8.1% of total)ival-tan: 17.0ms (6% of total)ival-cos: 13.0ms (4.6% of total)adjust: 8.0ms (2.8% of total)ival-neg: 3.0ms (1.1% of total)ival-sqrt: 3.0ms (1.1% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(cos.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))) |
(cos.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) |
(pow.f64 y #s(literal -1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))) |
| Outputs |
|---|
(* -1 (/ x (* y (pow (sqrt 2) 2)))) |
1 |
(+ 1 (* 1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt 2) 4))))) |
(+ 1 (* (pow x 2) (+ (* 5/24 (/ (pow x 2) (* (pow y 4) (pow (sqrt 2) 8)))) (* 1/2 (/ 1 (* (pow y 2) (pow (sqrt 2) 4))))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/720 (/ (pow x 2) (* (pow y 6) (pow (sqrt 2) 12)))) (* 5/24 (/ 1 (* (pow y 4) (pow (sqrt 2) 8)))))) (* 1/2 (/ 1 (* (pow y 2) (pow (sqrt 2) 4))))))) |
(+ 1 (* -1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt 2) 4))))) |
(+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (* (pow y 4) (pow (sqrt 2) 8)))) (* 1/2 (/ 1 (* (pow y 2) (pow (sqrt 2) 4))))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (* (pow y 6) (pow (sqrt 2) 12)))) (* 1/24 (/ 1 (* (pow y 4) (pow (sqrt 2) 8)))))) (* 1/2 (/ 1 (* (pow y 2) (pow (sqrt 2) 4))))))) |
(* (/ x (sqrt 2)) (sqrt (/ 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)))))) |
(* -1/2 (/ 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 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) (- (* 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 (sqrt (/ 1 y)))) |
(* 2 (* (pow 1/4 1/4) (/ 1 (sqrt 2)))) |
(+ (* 2 (* (pow 1/4 1/4) (/ 1 (sqrt 2)))) (* (pow x 2) (- (* 2 (* y (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))))) (* -1/12 (* (pow 1/4 1/4) (/ 1 (* (pow y 2) (sqrt 2)))))))) |
(+ (* 2 (* (pow 1/4 1/4) (/ 1 (sqrt 2)))) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))))) (* (pow x 2) (- (* 2 (* y (- (* 1/120 (* (pow 1/1024 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))) (+ (* -1/4 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))) (* (pow y 2) (pow (sqrt 2) 2)))) (* 1/96 (* (pow 1/4 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))))) (* -1/12 (* (pow 1/4 1/4) (/ 1 (* (pow y 2) (sqrt 2)))))) (pow y 2))) (* 1/960 (* (pow 1/4 1/4) (/ 1 (* (pow y 4) (sqrt 2))))))))) (* -1/12 (* (pow 1/4 1/4) (/ 1 (* (pow y 2) (sqrt 2)))))))) |
(+ (* 2 (* (pow 1/4 1/4) (/ 1 (sqrt 2)))) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))))) (* (pow x 2) (- (+ (* 2 (* y (- (* 1/120 (* (pow 1/1024 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))) (+ (* -1/4 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))) (* (pow y 2) (pow (sqrt 2) 2)))) (* 1/96 (* (pow 1/4 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))))))) (* (pow x 2) (- (* 2 (* y (- (* -1/5040 (* (pow 1/16384 1/4) (/ 1 (* (pow y 7) (pow (sqrt 2) 7))))) (+ (* -1/4 (/ (- (* 1/120 (* (pow 1/1024 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))) (+ (* -1/4 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))) (* (pow y 2) (pow (sqrt 2) 2)))) (* 1/96 (* (pow 1/4 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))))) (* (pow y 2) (pow (sqrt 2) 2)))) (+ (* -1/5760 (* (pow 1/4 1/4) (/ 1 (* (pow y 7) (pow (sqrt 2) 7))))) (* 1/96 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))) (* (pow y 4) (pow (sqrt 2) 4))))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* 1/120 (* (pow 1/1024 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))) (+ (* -1/4 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))) (* (pow y 2) (pow (sqrt 2) 2)))) (* 1/96 (* (pow 1/4 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))))) (* -1/12 (* (pow 1/4 1/4) (/ 1 (* (pow y 2) (sqrt 2)))))) (pow y 2))) (* 1/960 (* (pow 1/4 1/4) (/ 1 (* (pow y 4) (sqrt 2))))))) (pow y 2))) (+ (* -1/161280 (* (pow 1/4 1/4) (/ 1 (* (pow y 6) (sqrt 2))))) (* 1/1920 (/ (- (* 2 (* y (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))))) (* -1/12 (* (pow 1/4 1/4) (/ 1 (* (pow y 2) (sqrt 2)))))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))))) (* -1/12 (* (pow 1/4 1/4) (/ 1 (* (pow y 2) (sqrt 2)))))) (pow y 2))) (* 1/960 (* (pow 1/4 1/4) (/ 1 (* (pow y 4) (sqrt 2))))))))) (* -1/12 (* (pow 1/4 1/4) (/ 1 (* (pow y 2) (sqrt 2)))))))) |
(* (pow 1/4 1/4) (/ x (* y (sqrt 2)))) |
(* x (+ (* (pow 1/4 1/4) (/ 1 (* y (sqrt 2)))) (* (pow x 2) (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))))))) |
(* x (+ (* (pow 1/4 1/4) (/ 1 (* y (sqrt 2)))) (* (pow x 2) (- (+ (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* (pow x 2) (- (* 1/120 (* (pow 1/1024 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))) (+ (* -1/4 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))) (* (pow y 2) (pow (sqrt 2) 2)))) (* 1/96 (* (pow 1/4 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))))))) |
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(* 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)))) |
(* -2 (/ y x)) |
(/ (+ (* -2 y) (* -1/12 (/ (pow x 2) y))) x) |
(/ (+ (* -2 y) (* (pow x 2) (- (* -7/2880 (/ (pow x 2) (pow y 3))) (* 1/12 (/ 1 y))))) x) |
(/ (+ (* -2 y) (* (pow x 2) (- (* (pow x 2) (- (* -31/483840 (/ (pow x 2) (pow y 5))) (* 7/2880 (/ 1 (pow y 3))))) (* 1/12 (/ 1 y))))) x) |
(* (pow 1/4 1/4) (* (/ x (sqrt 2)) (sqrt (/ 1 y)))) |
(/ 1 (cos (* -1 (/ x (* y (pow (sqrt 2) 2)))))) |
(cos (* -1 (/ x (* y (pow (sqrt 2) 2))))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(* -1 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(cos (* -1/2 (/ x y))) |
(/ (sin (* (pow 1/4 1/4) (/ x (* y (sqrt 2))))) (* (cos (* (pow 1/4 1/4) (/ x (* y (sqrt 2))))) (sin (* 1/2 (/ x y))))) |
(/ (sin (* (pow 1/4 1/4) (/ x (* y (sqrt 2))))) (cos (* (pow 1/4 1/4) (/ x (* y (sqrt 2)))))) |
(sin (* 1/2 (/ x y))) |
(/ -1 (sin (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y))))) |
(sqrt (/ 1 y)) |
(* -1 (* (sqrt (/ 1 y)) (/ 1 (sqrt 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow x 4) (pow (sqrt 2) 8))) (* 1/24 (/ (pow x 4) (pow (sqrt 2) 8)))) (pow y 4)))) (* -1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt 2) 4))))) |
(- (+ 1 (* -1 (/ (+ (* -1/720 (/ (pow x 6) (pow (sqrt 2) 12))) (+ (* 1/48 (/ (pow x 6) (pow (sqrt 2) 12))) (* 1/2 (/ (* (pow x 2) (+ (* -1/4 (/ (pow x 4) (pow (sqrt 2) 8))) (* 1/24 (/ (pow x 4) (pow (sqrt 2) 8))))) (pow (sqrt 2) 4))))) (pow y 6)))) (+ (* -1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt 2) 4)))) (+ (* -1/4 (/ (pow x 4) (* (pow y 4) (pow (sqrt 2) 8)))) (* 1/24 (/ (pow x 4) (* (pow y 4) (pow (sqrt 2) 8))))))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt 2) 4)))) (* 1/24 (/ (pow x 4) (* (pow y 4) (pow (sqrt 2) 8)))))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt 2) 4)))) (+ (* -1/720 (/ (pow x 6) (* (pow y 6) (pow (sqrt 2) 12)))) (* 1/24 (/ (pow x 4) (* (pow y 4) (pow (sqrt 2) 8))))))) |
(- (+ 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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(/ (- (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x))) y) |
(/ (- (+ (* -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))))) (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(/ (- (+ (* -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)))))))) (+ (* -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) |
(/ (- (+ (* -1/48 (/ (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 (* -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)))))) |
(- (+ (* 2 (* (pow 1/4 1/4) (/ 1 (sqrt 2)))) (* 2 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (pow (sqrt 2) 3))))) (* x (pow y 2))))) (* -1/12 (* (pow 1/4 1/4) (/ (pow x 2) (* (pow y 2) (sqrt 2)))))) |
(- (+ (* 2 (* (pow 1/4 1/4) (/ 1 (sqrt 2)))) (+ (* 2 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (pow (sqrt 2) 3))))) (* x (pow y 2)))) (* 2 (/ (- (* 1/120 (* (pow 1/1024 1/4) (/ (pow x 5) (pow (sqrt 2) 5)))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))))) (pow (sqrt 2) 2))) (* 1/96 (* (pow 1/4 1/4) (/ (pow x 5) (pow (sqrt 2) 5)))))) (* x (pow y 4)))))) (+ (* -1/12 (* (pow 1/4 1/4) (/ (pow x 2) (* (pow y 2) (sqrt 2))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (pow (sqrt 2) 3))))) x)) (* -1/12 (* (pow 1/4 1/4) (/ (pow x 2) (sqrt 2)))))) (pow y 4))) (* 1/960 (* (pow 1/4 1/4) (/ (pow x 4) (* (pow y 4) (sqrt 2)))))))) |
(- (+ (* 2 (* (pow 1/4 1/4) (/ 1 (sqrt 2)))) (+ (* 2 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (pow (sqrt 2) 3))))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/5040 (* (pow 1/16384 1/4) (/ (pow x 7) (pow (sqrt 2) 7)))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/120 (* (pow 1/1024 1/4) (/ (pow x 5) (pow (sqrt 2) 5)))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))))) (pow (sqrt 2) 2))) (* 1/96 (* (pow 1/4 1/4) (/ (pow x 5) (pow (sqrt 2) 5))))))) (pow (sqrt 2) 2))) (+ (* -1/5760 (* (pow 1/4 1/4) (/ (pow x 7) (pow (sqrt 2) 7)))) (* 1/96 (/ (* (pow x 4) (- (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))))) (pow (sqrt 2) 4)))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/120 (* (pow 1/1024 1/4) (/ (pow x 5) (pow (sqrt 2) 5)))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))))) (pow (sqrt 2) 2))) (* 1/96 (* (pow 1/4 1/4) (/ (pow x 5) (pow (sqrt 2) 5)))))) (* x (pow y 4))))))) (+ (* -1/12 (* (pow 1/4 1/4) (/ (pow x 2) (* (pow y 2) (sqrt 2))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (pow (sqrt 2) 3))))) x)) (* -1/12 (* (pow 1/4 1/4) (/ (pow x 2) (sqrt 2)))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/120 (* (pow 1/1024 1/4) (/ (pow x 5) (pow (sqrt 2) 5)))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))))) (pow (sqrt 2) 2))) (* 1/96 (* (pow 1/4 1/4) (/ (pow x 5) (pow (sqrt 2) 5)))))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (pow (sqrt 2) 3))))) x)) (* -1/12 (* (pow 1/4 1/4) (/ (pow x 2) (sqrt 2))))))) (* 1/960 (* (pow 1/4 1/4) (/ (pow x 4) (sqrt 2))))))) (pow y 6))) (+ (* -1/161280 (* (pow 1/4 1/4) (/ (pow x 6) (* (pow y 6) (sqrt 2))))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (pow (sqrt 2) 3))))) x)) (* -1/12 (* (pow 1/4 1/4) (/ (pow x 2) (sqrt 2)))))) (pow y 6))) (* 1/960 (* (pow 1/4 1/4) (/ (pow x 4) (* (pow y 4) (sqrt 2))))))))))) |
(/ (- (+ (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (* (pow y 2) (pow (sqrt 2) 3))))) (* (pow 1/4 1/4) (/ x (sqrt 2)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (* (pow y 2) (pow (sqrt 2) 3)))))) y) |
(/ (- (+ (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (* (pow y 2) (pow (sqrt 2) 3))))) (+ (* 1/120 (* (pow 1/1024 1/4) (/ (pow x 5) (* (pow y 4) (pow (sqrt 2) 5))))) (* (pow 1/4 1/4) (/ x (sqrt 2))))) (+ (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (* (pow y 2) (pow (sqrt 2) 3))))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))))) (* (pow y 4) (pow (sqrt 2) 2)))) (* 1/96 (* (pow 1/4 1/4) (/ (pow x 5) (* (pow y 4) (pow (sqrt 2) 5)))))))) y) |
(/ (- (+ (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (* (pow y 2) (pow (sqrt 2) 3))))) (+ (* -1/5040 (* (pow 1/16384 1/4) (/ (pow x 7) (* (pow y 6) (pow (sqrt 2) 7))))) (+ (* 1/120 (* (pow 1/1024 1/4) (/ (pow x 5) (* (pow y 4) (pow (sqrt 2) 5))))) (* (pow 1/4 1/4) (/ x (sqrt 2)))))) (+ (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (* (pow y 2) (pow (sqrt 2) 3))))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))))) (* (pow y 4) (pow (sqrt 2) 2)))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/120 (* (pow 1/1024 1/4) (/ (pow x 5) (pow (sqrt 2) 5)))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))))) (pow (sqrt 2) 2))) (* 1/96 (* (pow 1/4 1/4) (/ (pow x 5) (pow (sqrt 2) 5))))))) (* (pow y 6) (pow (sqrt 2) 2)))) (+ (* -1/5760 (* (pow 1/4 1/4) (/ (pow x 7) (* (pow y 6) (pow (sqrt 2) 7))))) (+ (* 1/96 (* (pow 1/4 1/4) (/ (pow x 5) (* (pow y 4) (pow (sqrt 2) 5))))) (* 1/96 (/ (* (pow x 4) (- (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))))) (* (pow y 6) (pow (sqrt 2) 4)))))))))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(* y (- (* -1/12 (/ x (pow y 2))) (* 2 (/ 1 x)))) |
(* y (- (* -1 (/ (+ (* -1/960 (pow x 3)) (* 1/288 (pow x 3))) (pow y 4))) (+ (* 1/12 (/ x (pow y 2))) (* 2 (/ 1 x))))) |
(* y (- (* -1 (/ (+ (* -1/23040 (pow x 5)) (+ (* 1/161280 (pow x 5)) (* 1/24 (* (pow x 2) (+ (* -1/960 (pow x 3)) (* 1/288 (pow x 3))))))) (pow y 6))) (+ (* -1/960 (/ (pow x 3) (pow y 4))) (+ (* 1/288 (/ (pow x 3) (pow y 4))) (+ (* 1/12 (/ x (pow y 2))) (* 2 (/ 1 x))))))) |
(/ x (* y (pow (sqrt -2) 2))) |
(+ 1 (* 1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt -2) 4))))) |
(- (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow x 4) (pow (sqrt -2) 8))) (* 1/24 (/ (pow x 4) (pow (sqrt -2) 8)))) (pow y 4)))) (* -1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt -2) 4))))) |
(- (+ 1 (* -1 (/ (+ (* -1/720 (/ (pow x 6) (pow (sqrt -2) 12))) (+ (* 1/48 (/ (pow x 6) (pow (sqrt -2) 12))) (* 1/2 (/ (* (pow x 2) (+ (* -1/4 (/ (pow x 4) (pow (sqrt -2) 8))) (* 1/24 (/ (pow x 4) (pow (sqrt -2) 8))))) (pow (sqrt -2) 4))))) (pow y 6)))) (+ (* -1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt -2) 4)))) (+ (* -1/4 (/ (pow x 4) (* (pow y 4) (pow (sqrt -2) 8)))) (* 1/24 (/ (pow x 4) (* (pow y 4) (pow (sqrt -2) 8))))))) |
(+ 1 (* -1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt -2) 4))))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt -2) 4)))) (* 1/24 (/ (pow x 4) (* (pow y 4) (pow (sqrt -2) 8)))))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt -2) 4)))) (+ (* -1/720 (/ (pow x 6) (* (pow y 6) (pow (sqrt -2) 12)))) (* 1/24 (/ (pow x 4) (* (pow y 4) (pow (sqrt -2) 8))))))) |
(* (/ (* x (sqrt -1)) (sqrt -2)) (sqrt (/ 1 y))) |
-1 |
(- (* 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 (/ (- (* 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 (/ (- (* 1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (- (+ (* -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))))) (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -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)))))))) (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2))))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(* 1/2 (/ (* x (pow (sqrt -1) 2)) y)) |
(+ 1 (* 1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (* (pow x 4) (pow (sqrt -1) 8))) (* 1/384 (* (pow x 4) (pow (sqrt -1) 8)))) (pow y 4)))) (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (* (pow x 6) (pow (sqrt -1) 12))) (+ (* 1/3072 (* (pow x 6) (pow (sqrt -1) 12))) (* 1/8 (* (pow x 2) (* (pow (sqrt -1) 4) (+ (* -1/64 (* (pow x 4) (pow (sqrt -1) 8))) (* 1/384 (* (pow x 4) (pow (sqrt -1) 8))))))))) (pow y 6)))) (+ (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))) (+ (* -1/64 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4))) (* 1/384 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4)))))) |
(+ 1 (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2)))) |
(+ 1 (+ (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))) (* 1/384 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4))))) |
(+ 1 (+ (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))) (+ (* -1/46080 (/ (* (pow x 6) (pow (sqrt -1) 12)) (pow y 6))) (* 1/384 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4)))))) |
(* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))) |
(* -2 (* (pow 1/4 1/4) (/ (sqrt -1) (sqrt -2)))) |
(- (+ (* -2 (* (pow 1/4 1/4) (/ (sqrt -1) (sqrt -2)))) (* -2 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))) (* x (pow y 2))))) (* 1/12 (* (pow 1/4 1/4) (/ (* (pow x 2) (sqrt -1)) (* (pow y 2) (sqrt -2)))))) |
(- (+ (* -2 (* (pow 1/4 1/4) (/ (sqrt -1) (sqrt -2)))) (+ (* -2 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))) (* x (pow y 2)))) (* -2 (/ (- (* 1/120 (* (pow 1/1024 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (pow (sqrt -2) 5)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))))) (pow (sqrt -2) 2))) (* 1/96 (* (pow 1/4 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (pow (sqrt -2) 5)))))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))) x)) (* 1/12 (* (pow 1/4 1/4) (/ (* (pow x 2) (sqrt -1)) (sqrt -2)))))) (pow y 4))) (+ (* -1/960 (* (pow 1/4 1/4) (/ (* (pow x 4) (sqrt -1)) (* (pow y 4) (sqrt -2))))) (* 1/12 (* (pow 1/4 1/4) (/ (* (pow x 2) (sqrt -1)) (* (pow y 2) (sqrt -2)))))))) |
(- (+ (* -2 (* (pow 1/4 1/4) (/ (sqrt -1) (sqrt -2)))) (+ (* -2 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))) (* x (pow y 2)))) (+ (* -2 (/ (- (* -1/5040 (* (pow 1/16384 1/4) (/ (* (pow x 7) (pow (sqrt -1) 7)) (pow (sqrt -2) 7)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (- (* 1/120 (* (pow 1/1024 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (pow (sqrt -2) 5)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))))) (pow (sqrt -2) 2))) (* 1/96 (* (pow 1/4 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (pow (sqrt -2) 5)))))))) (pow (sqrt -2) 2))) (+ (* -1/5760 (* (pow 1/4 1/4) (/ (* (pow x 7) (pow (sqrt -1) 7)) (pow (sqrt -2) 7)))) (* 1/96 (/ (* (pow x 4) (* (pow (sqrt -1) 4) (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))))) (pow (sqrt -2) 4)))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/120 (* (pow 1/1024 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (pow (sqrt -2) 5)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))))) (pow (sqrt -2) 2))) (* 1/96 (* (pow 1/4 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (pow (sqrt -2) 5)))))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))) x)) (* 1/12 (* (pow 1/4 1/4) (/ (* (pow x 2) (sqrt -1)) (sqrt -2)))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/120 (* (pow 1/1024 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (pow (sqrt -2) 5)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))))) (pow (sqrt -2) 2))) (* 1/96 (* (pow 1/4 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (pow (sqrt -2) 5)))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))) x)) (* 1/12 (* (pow 1/4 1/4) (/ (* (pow x 2) (sqrt -1)) (sqrt -2))))))) (* -1/960 (* (pow 1/4 1/4) (/ (* (pow x 4) (sqrt -1)) (sqrt -2))))))) (pow y 6))) (+ (* -1/960 (* (pow 1/4 1/4) (/ (* (pow x 4) (sqrt -1)) (* (pow y 4) (sqrt -2))))) (+ (* 1/161280 (* (pow 1/4 1/4) (/ (* (pow x 6) (sqrt -1)) (* (pow y 6) (sqrt -2))))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))) x)) (* 1/12 (* (pow 1/4 1/4) (/ (* (pow x 2) (sqrt -1)) (sqrt -2)))))) (pow y 6))) (* 1/12 (* (pow 1/4 1/4) (/ (* (pow x 2) (sqrt -1)) (* (pow y 2) (sqrt -2))))))))))) |
(* -1 (* (pow 1/4 1/4) (/ (* x (sqrt -1)) (* y (sqrt -2))))) |
(* -1 (/ (- (+ (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (* (pow y 2) (pow (sqrt -2) 3))))) (* (pow 1/4 1/4) (/ (* x (sqrt -1)) (sqrt -2)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (* (pow y 2) (pow (sqrt -2) 3)))))) y)) |
(* -1 (/ (- (+ (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (* (pow y 2) (pow (sqrt -2) 3))))) (+ (* 1/120 (* (pow 1/1024 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (* (pow y 4) (pow (sqrt -2) 5))))) (* (pow 1/4 1/4) (/ (* x (sqrt -1)) (sqrt -2))))) (+ (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (* (pow y 2) (pow (sqrt -2) 3))))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))))) (* (pow y 4) (pow (sqrt -2) 2)))) (* 1/96 (* (pow 1/4 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (* (pow y 4) (pow (sqrt -2) 5)))))))) y)) |
(* -1 (/ (- (+ (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (* (pow y 2) (pow (sqrt -2) 3))))) (+ (* -1/5040 (* (pow 1/16384 1/4) (/ (* (pow x 7) (pow (sqrt -1) 7)) (* (pow y 6) (pow (sqrt -2) 7))))) (+ (* 1/120 (* (pow 1/1024 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (* (pow y 4) (pow (sqrt -2) 5))))) (* (pow 1/4 1/4) (/ (* x (sqrt -1)) (sqrt -2)))))) (+ (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (* (pow y 2) (pow (sqrt -2) 3))))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))))) (* (pow y 4) (pow (sqrt -2) 2)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (- (* 1/120 (* (pow 1/1024 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (pow (sqrt -2) 5)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))))) (pow (sqrt -2) 2))) (* 1/96 (* (pow 1/4 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (pow (sqrt -2) 5)))))))) (* (pow y 6) (pow (sqrt -2) 2)))) (+ (* -1/5760 (* (pow 1/4 1/4) (/ (* (pow x 7) (pow (sqrt -1) 7)) (* (pow y 6) (pow (sqrt -2) 7))))) (+ (* 1/96 (* (pow 1/4 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (* (pow y 4) (pow (sqrt -2) 5))))) (* 1/96 (/ (* (pow x 4) (* (pow (sqrt -1) 4) (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))))) (* (pow y 6) (pow (sqrt -2) 4)))))))))) y)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt (/ 1 y)) (/ (sqrt -1) (sqrt -2)))) |
(* -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 (* y (+ (* 1/12 (/ x (pow y 2))) (* 2 (/ 1 x))))) |
(* -1 (* y (- (+ (* -1 (/ (+ (* -1/288 (pow x 3)) (* 1/960 (pow x 3))) (pow y 4))) (* 2 (/ 1 x))) (* -1/12 (/ x (pow y 2)))))) |
(* -1 (* y (- (+ (* -1 (/ (+ (* -1/161280 (pow x 5)) (+ (* 1/23040 (pow x 5)) (* 1/24 (* (pow x 2) (+ (* -1/288 (pow x 3)) (* 1/960 (pow x 3))))))) (pow y 6))) (* 2 (/ 1 x))) (+ (* -1/12 (/ x (pow y 2))) (+ (* -1/288 (/ (pow x 3) (pow y 4))) (* 1/960 (/ (pow x 3) (pow y 4)))))))) |
(* (pow 1/4 1/4) (* (/ (* x (sqrt -1)) (sqrt -2)) (sqrt (/ 1 y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 94.0ms | x | @ | inf | ((* (/ x (sqrt (* 2 y))) (/ -1 (sqrt (* 2 y)))) (/ 1 (cos (* (/ x (sqrt (* 2 y))) (/ -1 (sqrt (* 2 y)))))) (cos (* (/ x (sqrt (* 2 y))) (/ -1 (sqrt (* 2 y))))) (/ x (sqrt (* 2 y))) (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (* (neg (tan (* 1/2 (/ x y)))) (/ -1 (sin (* 1/2 (/ x y))))) (neg (tan (* 1/2 (/ x y)))) (tan (* 1/2 (/ x y))) (* 1/2 (/ x y)) (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2))) (/ 1 (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2))))) (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (* x (* (pow y -1/2) 1/2)) (/ (tan (* (pow y -1/2) (* (pow 4 -1/4) (/ x (sqrt (* 2 y)))))) (sin (/ x (* y 2)))) (tan (* (pow y -1/2) (* (pow 4 -1/4) (/ x (sqrt (* 2 y)))))) (* (pow y -1/2) (* (pow 4 -1/4) (/ x (sqrt (* 2 y))))) (pow y -1/2) (/ -1 (sqrt (* 2 y))) (sin (* 1/2 (/ x y))) (/ -1 (sin (* 1/2 (/ x y)))) (sin (/ x (* y 2))) (* (pow 4 -1/4) (/ x (sqrt (* 2 y))))) |
| 69.0ms | x | @ | 0 | ((* (/ x (sqrt (* 2 y))) (/ -1 (sqrt (* 2 y)))) (/ 1 (cos (* (/ x (sqrt (* 2 y))) (/ -1 (sqrt (* 2 y)))))) (cos (* (/ x (sqrt (* 2 y))) (/ -1 (sqrt (* 2 y))))) (/ x (sqrt (* 2 y))) (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (* (neg (tan (* 1/2 (/ x y)))) (/ -1 (sin (* 1/2 (/ x y))))) (neg (tan (* 1/2 (/ x y)))) (tan (* 1/2 (/ x y))) (* 1/2 (/ x y)) (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2))) (/ 1 (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2))))) (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (* x (* (pow y -1/2) 1/2)) (/ (tan (* (pow y -1/2) (* (pow 4 -1/4) (/ x (sqrt (* 2 y)))))) (sin (/ x (* y 2)))) (tan (* (pow y -1/2) (* (pow 4 -1/4) (/ x (sqrt (* 2 y)))))) (* (pow y -1/2) (* (pow 4 -1/4) (/ x (sqrt (* 2 y))))) (pow y -1/2) (/ -1 (sqrt (* 2 y))) (sin (* 1/2 (/ x y))) (/ -1 (sin (* 1/2 (/ x y)))) (sin (/ x (* y 2))) (* (pow 4 -1/4) (/ x (sqrt (* 2 y))))) |
| 24.0ms | y | @ | -inf | ((* (/ x (sqrt (* 2 y))) (/ -1 (sqrt (* 2 y)))) (/ 1 (cos (* (/ x (sqrt (* 2 y))) (/ -1 (sqrt (* 2 y)))))) (cos (* (/ x (sqrt (* 2 y))) (/ -1 (sqrt (* 2 y))))) (/ x (sqrt (* 2 y))) (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (* (neg (tan (* 1/2 (/ x y)))) (/ -1 (sin (* 1/2 (/ x y))))) (neg (tan (* 1/2 (/ x y)))) (tan (* 1/2 (/ x y))) (* 1/2 (/ x y)) (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2))) (/ 1 (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2))))) (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (* x (* (pow y -1/2) 1/2)) (/ (tan (* (pow y -1/2) (* (pow 4 -1/4) (/ x (sqrt (* 2 y)))))) (sin (/ x (* y 2)))) (tan (* (pow y -1/2) (* (pow 4 -1/4) (/ x (sqrt (* 2 y)))))) (* (pow y -1/2) (* (pow 4 -1/4) (/ x (sqrt (* 2 y))))) (pow y -1/2) (/ -1 (sqrt (* 2 y))) (sin (* 1/2 (/ x y))) (/ -1 (sin (* 1/2 (/ x y)))) (sin (/ x (* y 2))) (* (pow 4 -1/4) (/ x (sqrt (* 2 y))))) |
| 23.0ms | y | @ | inf | ((* (/ x (sqrt (* 2 y))) (/ -1 (sqrt (* 2 y)))) (/ 1 (cos (* (/ x (sqrt (* 2 y))) (/ -1 (sqrt (* 2 y)))))) (cos (* (/ x (sqrt (* 2 y))) (/ -1 (sqrt (* 2 y))))) (/ x (sqrt (* 2 y))) (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (* (neg (tan (* 1/2 (/ x y)))) (/ -1 (sin (* 1/2 (/ x y))))) (neg (tan (* 1/2 (/ x y)))) (tan (* 1/2 (/ x y))) (* 1/2 (/ x y)) (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2))) (/ 1 (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2))))) (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (* x (* (pow y -1/2) 1/2)) (/ (tan (* (pow y -1/2) (* (pow 4 -1/4) (/ x (sqrt (* 2 y)))))) (sin (/ x (* y 2)))) (tan (* (pow y -1/2) (* (pow 4 -1/4) (/ x (sqrt (* 2 y)))))) (* (pow y -1/2) (* (pow 4 -1/4) (/ x (sqrt (* 2 y))))) (pow y -1/2) (/ -1 (sqrt (* 2 y))) (sin (* 1/2 (/ x y))) (/ -1 (sin (* 1/2 (/ x y)))) (sin (/ x (* y 2))) (* (pow 4 -1/4) (/ x (sqrt (* 2 y))))) |
| 16.0ms | y | @ | 0 | ((* (/ x (sqrt (* 2 y))) (/ -1 (sqrt (* 2 y)))) (/ 1 (cos (* (/ x (sqrt (* 2 y))) (/ -1 (sqrt (* 2 y)))))) (cos (* (/ x (sqrt (* 2 y))) (/ -1 (sqrt (* 2 y))))) (/ x (sqrt (* 2 y))) (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (* (neg (tan (* 1/2 (/ x y)))) (/ -1 (sin (* 1/2 (/ x y))))) (neg (tan (* 1/2 (/ x y)))) (tan (* 1/2 (/ x y))) (* 1/2 (/ x y)) (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2))) (/ 1 (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2))))) (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (* x (* (pow y -1/2) 1/2)) (/ (tan (* (pow y -1/2) (* (pow 4 -1/4) (/ x (sqrt (* 2 y)))))) (sin (/ x (* y 2)))) (tan (* (pow y -1/2) (* (pow 4 -1/4) (/ x (sqrt (* 2 y)))))) (* (pow y -1/2) (* (pow 4 -1/4) (/ x (sqrt (* 2 y))))) (pow y -1/2) (/ -1 (sqrt (* 2 y))) (sin (* 1/2 (/ x y))) (/ -1 (sin (* 1/2 (/ x y)))) (sin (/ x (* y 2))) (* (pow 4 -1/4) (/ x (sqrt (* 2 y))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1135 | 8574 |
| 1 | 3531 | 7564 |
| 0 | 8387 | 7236 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ x (* y (pow (sqrt 2) 2)))) |
1 |
(+ 1 (* 1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt 2) 4))))) |
(+ 1 (* (pow x 2) (+ (* 5/24 (/ (pow x 2) (* (pow y 4) (pow (sqrt 2) 8)))) (* 1/2 (/ 1 (* (pow y 2) (pow (sqrt 2) 4))))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/720 (/ (pow x 2) (* (pow y 6) (pow (sqrt 2) 12)))) (* 5/24 (/ 1 (* (pow y 4) (pow (sqrt 2) 8)))))) (* 1/2 (/ 1 (* (pow y 2) (pow (sqrt 2) 4))))))) |
(+ 1 (* -1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt 2) 4))))) |
(+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (* (pow y 4) (pow (sqrt 2) 8)))) (* 1/2 (/ 1 (* (pow y 2) (pow (sqrt 2) 4))))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (* (pow y 6) (pow (sqrt 2) 12)))) (* 1/24 (/ 1 (* (pow y 4) (pow (sqrt 2) 8)))))) (* 1/2 (/ 1 (* (pow y 2) (pow (sqrt 2) 4))))))) |
(* (/ x (sqrt 2)) (sqrt (/ 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)))))) |
(* -1/2 (/ 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 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) (- (* 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 (sqrt (/ 1 y)))) |
(* 2 (* (pow 1/4 1/4) (/ 1 (sqrt 2)))) |
(+ (* 2 (* (pow 1/4 1/4) (/ 1 (sqrt 2)))) (* (pow x 2) (- (* 2 (* y (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))))) (* -1/12 (* (pow 1/4 1/4) (/ 1 (* (pow y 2) (sqrt 2)))))))) |
(+ (* 2 (* (pow 1/4 1/4) (/ 1 (sqrt 2)))) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))))) (* (pow x 2) (- (* 2 (* y (- (* 1/120 (* (pow 1/1024 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))) (+ (* -1/4 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))) (* (pow y 2) (pow (sqrt 2) 2)))) (* 1/96 (* (pow 1/4 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))))) (* -1/12 (* (pow 1/4 1/4) (/ 1 (* (pow y 2) (sqrt 2)))))) (pow y 2))) (* 1/960 (* (pow 1/4 1/4) (/ 1 (* (pow y 4) (sqrt 2))))))))) (* -1/12 (* (pow 1/4 1/4) (/ 1 (* (pow y 2) (sqrt 2)))))))) |
(+ (* 2 (* (pow 1/4 1/4) (/ 1 (sqrt 2)))) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))))) (* (pow x 2) (- (+ (* 2 (* y (- (* 1/120 (* (pow 1/1024 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))) (+ (* -1/4 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))) (* (pow y 2) (pow (sqrt 2) 2)))) (* 1/96 (* (pow 1/4 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))))))) (* (pow x 2) (- (* 2 (* y (- (* -1/5040 (* (pow 1/16384 1/4) (/ 1 (* (pow y 7) (pow (sqrt 2) 7))))) (+ (* -1/4 (/ (- (* 1/120 (* (pow 1/1024 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))) (+ (* -1/4 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))) (* (pow y 2) (pow (sqrt 2) 2)))) (* 1/96 (* (pow 1/4 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))))) (* (pow y 2) (pow (sqrt 2) 2)))) (+ (* -1/5760 (* (pow 1/4 1/4) (/ 1 (* (pow y 7) (pow (sqrt 2) 7))))) (* 1/96 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))) (* (pow y 4) (pow (sqrt 2) 4))))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* 1/120 (* (pow 1/1024 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))) (+ (* -1/4 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))) (* (pow y 2) (pow (sqrt 2) 2)))) (* 1/96 (* (pow 1/4 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))))) (* -1/12 (* (pow 1/4 1/4) (/ 1 (* (pow y 2) (sqrt 2)))))) (pow y 2))) (* 1/960 (* (pow 1/4 1/4) (/ 1 (* (pow y 4) (sqrt 2))))))) (pow y 2))) (+ (* -1/161280 (* (pow 1/4 1/4) (/ 1 (* (pow y 6) (sqrt 2))))) (* 1/1920 (/ (- (* 2 (* y (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))))) (* -1/12 (* (pow 1/4 1/4) (/ 1 (* (pow y 2) (sqrt 2)))))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))))) (* -1/12 (* (pow 1/4 1/4) (/ 1 (* (pow y 2) (sqrt 2)))))) (pow y 2))) (* 1/960 (* (pow 1/4 1/4) (/ 1 (* (pow y 4) (sqrt 2))))))))) (* -1/12 (* (pow 1/4 1/4) (/ 1 (* (pow y 2) (sqrt 2)))))))) |
(* (pow 1/4 1/4) (/ x (* y (sqrt 2)))) |
(* x (+ (* (pow 1/4 1/4) (/ 1 (* y (sqrt 2)))) (* (pow x 2) (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))))))) |
(* x (+ (* (pow 1/4 1/4) (/ 1 (* y (sqrt 2)))) (* (pow x 2) (- (+ (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* (pow x 2) (- (* 1/120 (* (pow 1/1024 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))) (+ (* -1/4 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))) (* (pow y 2) (pow (sqrt 2) 2)))) (* 1/96 (* (pow 1/4 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))))))) |
(* x (+ (* (pow 1/4 1/4) (/ 1 (* y (sqrt 2)))) (* (pow x 2) (- (+ (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* (pow x 2) (- (+ (* 1/120 (* (pow 1/1024 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))) (* (pow x 2) (- (* -1/5040 (* (pow 1/16384 1/4) (/ 1 (* (pow y 7) (pow (sqrt 2) 7))))) (+ (* -1/4 (/ (- (* 1/120 (* (pow 1/1024 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))) (+ (* -1/4 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))) (* (pow y 2) (pow (sqrt 2) 2)))) (* 1/96 (* (pow 1/4 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))))) (* (pow y 2) (pow (sqrt 2) 2)))) (+ (* -1/5760 (* (pow 1/4 1/4) (/ 1 (* (pow y 7) (pow (sqrt 2) 7))))) (* 1/96 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))) (* (pow y 4) (pow (sqrt 2) 4))))))))) (+ (* -1/4 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))) (* (pow y 2) (pow (sqrt 2) 2)))) (* 1/96 (* (pow 1/4 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))))))) |
(* 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)))) |
(* -2 (/ y x)) |
(/ (+ (* -2 y) (* -1/12 (/ (pow x 2) y))) x) |
(/ (+ (* -2 y) (* (pow x 2) (- (* -7/2880 (/ (pow x 2) (pow y 3))) (* 1/12 (/ 1 y))))) x) |
(/ (+ (* -2 y) (* (pow x 2) (- (* (pow x 2) (- (* -31/483840 (/ (pow x 2) (pow y 5))) (* 7/2880 (/ 1 (pow y 3))))) (* 1/12 (/ 1 y))))) x) |
(* (pow 1/4 1/4) (* (/ x (sqrt 2)) (sqrt (/ 1 y)))) |
(/ 1 (cos (* -1 (/ x (* y (pow (sqrt 2) 2)))))) |
(cos (* -1 (/ x (* y (pow (sqrt 2) 2))))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(* -1 (/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y))))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(cos (* -1/2 (/ x y))) |
(/ (sin (* (pow 1/4 1/4) (/ x (* y (sqrt 2))))) (* (cos (* (pow 1/4 1/4) (/ x (* y (sqrt 2))))) (sin (* 1/2 (/ x y))))) |
(/ (sin (* (pow 1/4 1/4) (/ x (* y (sqrt 2))))) (cos (* (pow 1/4 1/4) (/ x (* y (sqrt 2)))))) |
(sin (* 1/2 (/ x y))) |
(/ -1 (sin (* 1/2 (/ x y)))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (* -1/2 (/ x y))))) |
(sqrt (/ 1 y)) |
(* -1 (* (sqrt (/ 1 y)) (/ 1 (sqrt 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow x 4) (pow (sqrt 2) 8))) (* 1/24 (/ (pow x 4) (pow (sqrt 2) 8)))) (pow y 4)))) (* -1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt 2) 4))))) |
(- (+ 1 (* -1 (/ (+ (* -1/720 (/ (pow x 6) (pow (sqrt 2) 12))) (+ (* 1/48 (/ (pow x 6) (pow (sqrt 2) 12))) (* 1/2 (/ (* (pow x 2) (+ (* -1/4 (/ (pow x 4) (pow (sqrt 2) 8))) (* 1/24 (/ (pow x 4) (pow (sqrt 2) 8))))) (pow (sqrt 2) 4))))) (pow y 6)))) (+ (* -1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt 2) 4)))) (+ (* -1/4 (/ (pow x 4) (* (pow y 4) (pow (sqrt 2) 8)))) (* 1/24 (/ (pow x 4) (* (pow y 4) (pow (sqrt 2) 8))))))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt 2) 4)))) (* 1/24 (/ (pow x 4) (* (pow y 4) (pow (sqrt 2) 8)))))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt 2) 4)))) (+ (* -1/720 (/ (pow x 6) (* (pow y 6) (pow (sqrt 2) 12)))) (* 1/24 (/ (pow x 4) (* (pow y 4) (pow (sqrt 2) 8))))))) |
(- (+ 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))))))))) |
(/ (- (* -1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x))) y) |
(/ (- (+ (* -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))))) (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(/ (- (+ (* -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)))))))) (+ (* -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) |
(/ (- (+ (* -1/48 (/ (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 (* -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)))))) |
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(/ (- (+ (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (* (pow y 2) (pow (sqrt 2) 3))))) (* (pow 1/4 1/4) (/ x (sqrt 2)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (* (pow y 2) (pow (sqrt 2) 3)))))) y) |
(/ (- (+ (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (* (pow y 2) (pow (sqrt 2) 3))))) (+ (* 1/120 (* (pow 1/1024 1/4) (/ (pow x 5) (* (pow y 4) (pow (sqrt 2) 5))))) (* (pow 1/4 1/4) (/ x (sqrt 2))))) (+ (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (* (pow y 2) (pow (sqrt 2) 3))))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))))) (* (pow y 4) (pow (sqrt 2) 2)))) (* 1/96 (* (pow 1/4 1/4) (/ (pow x 5) (* (pow y 4) (pow (sqrt 2) 5)))))))) y) |
(/ (- (+ (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (* (pow y 2) (pow (sqrt 2) 3))))) (+ (* -1/5040 (* (pow 1/16384 1/4) (/ (pow x 7) (* (pow y 6) (pow (sqrt 2) 7))))) (+ (* 1/120 (* (pow 1/1024 1/4) (/ (pow x 5) (* (pow y 4) (pow (sqrt 2) 5))))) (* (pow 1/4 1/4) (/ x (sqrt 2)))))) (+ (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (* (pow y 2) (pow (sqrt 2) 3))))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))))) (* (pow y 4) (pow (sqrt 2) 2)))) (+ (* -1/4 (/ (* (pow x 2) (- (* 1/120 (* (pow 1/1024 1/4) (/ (pow x 5) (pow (sqrt 2) 5)))) (+ (* -1/4 (/ (* (pow x 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))))) (pow (sqrt 2) 2))) (* 1/96 (* (pow 1/4 1/4) (/ (pow x 5) (pow (sqrt 2) 5))))))) (* (pow y 6) (pow (sqrt 2) 2)))) (+ (* -1/5760 (* (pow 1/4 1/4) (/ (pow x 7) (* (pow y 6) (pow (sqrt 2) 7))))) (+ (* 1/96 (* (pow 1/4 1/4) (/ (pow x 5) (* (pow y 4) (pow (sqrt 2) 5))))) (* 1/96 (/ (* (pow x 4) (- (* -1/6 (* (pow 1/64 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (pow x 3) (pow (sqrt 2) 3)))))) (* (pow y 6) (pow (sqrt 2) 4)))))))))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(* y (- (* -1/12 (/ x (pow y 2))) (* 2 (/ 1 x)))) |
(* y (- (* -1 (/ (+ (* -1/960 (pow x 3)) (* 1/288 (pow x 3))) (pow y 4))) (+ (* 1/12 (/ x (pow y 2))) (* 2 (/ 1 x))))) |
(* y (- (* -1 (/ (+ (* -1/23040 (pow x 5)) (+ (* 1/161280 (pow x 5)) (* 1/24 (* (pow x 2) (+ (* -1/960 (pow x 3)) (* 1/288 (pow x 3))))))) (pow y 6))) (+ (* -1/960 (/ (pow x 3) (pow y 4))) (+ (* 1/288 (/ (pow x 3) (pow y 4))) (+ (* 1/12 (/ x (pow y 2))) (* 2 (/ 1 x))))))) |
(/ x (* y (pow (sqrt -2) 2))) |
(+ 1 (* 1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt -2) 4))))) |
(- (+ 1 (* -1 (/ (+ (* -1/4 (/ (pow x 4) (pow (sqrt -2) 8))) (* 1/24 (/ (pow x 4) (pow (sqrt -2) 8)))) (pow y 4)))) (* -1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt -2) 4))))) |
(- (+ 1 (* -1 (/ (+ (* -1/720 (/ (pow x 6) (pow (sqrt -2) 12))) (+ (* 1/48 (/ (pow x 6) (pow (sqrt -2) 12))) (* 1/2 (/ (* (pow x 2) (+ (* -1/4 (/ (pow x 4) (pow (sqrt -2) 8))) (* 1/24 (/ (pow x 4) (pow (sqrt -2) 8))))) (pow (sqrt -2) 4))))) (pow y 6)))) (+ (* -1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt -2) 4)))) (+ (* -1/4 (/ (pow x 4) (* (pow y 4) (pow (sqrt -2) 8)))) (* 1/24 (/ (pow x 4) (* (pow y 4) (pow (sqrt -2) 8))))))) |
(+ 1 (* -1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt -2) 4))))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt -2) 4)))) (* 1/24 (/ (pow x 4) (* (pow y 4) (pow (sqrt -2) 8)))))) |
(+ 1 (+ (* -1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt -2) 4)))) (+ (* -1/720 (/ (pow x 6) (* (pow y 6) (pow (sqrt -2) 12)))) (* 1/24 (/ (pow x 4) (* (pow y 4) (pow (sqrt -2) 8))))))) |
(* (/ (* x (sqrt -1)) (sqrt -2)) (sqrt (/ 1 y))) |
-1 |
(- (* 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 (/ (- (* 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 (/ (- (* 1/16 (/ (pow x 3) (pow y 2))) (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (- (+ (* -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))))) (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -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)))))))) (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2))))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) (* 1/16 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (* 1/16 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (- (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* -1/768 (pow x 5))))) (pow y 6))) (+ (* -1/8 (/ (* (pow x 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 4))) (+ (* -1/768 (/ (pow x 5) (pow y 4))) (+ (* 1/92160 (/ (pow x 7) (pow y 6))) (+ (* 1/384 (/ (* (pow x 4) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3)))) (pow y 6))) (* 1/16 (/ (pow x 3) (pow y 2))))))))) y)) |
(* 1/2 (/ (* x (pow (sqrt -1) 2)) y)) |
(+ 1 (* 1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (* (pow x 4) (pow (sqrt -1) 8))) (* 1/384 (* (pow x 4) (pow (sqrt -1) 8)))) (pow y 4)))) (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (* (pow x 6) (pow (sqrt -1) 12))) (+ (* 1/3072 (* (pow x 6) (pow (sqrt -1) 12))) (* 1/8 (* (pow x 2) (* (pow (sqrt -1) 4) (+ (* -1/64 (* (pow x 4) (pow (sqrt -1) 8))) (* 1/384 (* (pow x 4) (pow (sqrt -1) 8))))))))) (pow y 6)))) (+ (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))) (+ (* -1/64 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4))) (* 1/384 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4)))))) |
(+ 1 (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2)))) |
(+ 1 (+ (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))) (* 1/384 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4))))) |
(+ 1 (+ (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))) (+ (* -1/46080 (/ (* (pow x 6) (pow (sqrt -1) 12)) (pow y 6))) (* 1/384 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4)))))) |
(* 1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 y)))) |
(* -2 (* (pow 1/4 1/4) (/ (sqrt -1) (sqrt -2)))) |
(- (+ (* -2 (* (pow 1/4 1/4) (/ (sqrt -1) (sqrt -2)))) (* -2 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))) (* x (pow y 2))))) (* 1/12 (* (pow 1/4 1/4) (/ (* (pow x 2) (sqrt -1)) (* (pow y 2) (sqrt -2)))))) |
(- (+ (* -2 (* (pow 1/4 1/4) (/ (sqrt -1) (sqrt -2)))) (+ (* -2 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))) (* x (pow y 2)))) (* -2 (/ (- (* 1/120 (* (pow 1/1024 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (pow (sqrt -2) 5)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))))) (pow (sqrt -2) 2))) (* 1/96 (* (pow 1/4 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (pow (sqrt -2) 5)))))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))) x)) (* 1/12 (* (pow 1/4 1/4) (/ (* (pow x 2) (sqrt -1)) (sqrt -2)))))) (pow y 4))) (+ (* -1/960 (* (pow 1/4 1/4) (/ (* (pow x 4) (sqrt -1)) (* (pow y 4) (sqrt -2))))) (* 1/12 (* (pow 1/4 1/4) (/ (* (pow x 2) (sqrt -1)) (* (pow y 2) (sqrt -2)))))))) |
(- (+ (* -2 (* (pow 1/4 1/4) (/ (sqrt -1) (sqrt -2)))) (+ (* -2 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))) (* x (pow y 2)))) (+ (* -2 (/ (- (* -1/5040 (* (pow 1/16384 1/4) (/ (* (pow x 7) (pow (sqrt -1) 7)) (pow (sqrt -2) 7)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (- (* 1/120 (* (pow 1/1024 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (pow (sqrt -2) 5)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))))) (pow (sqrt -2) 2))) (* 1/96 (* (pow 1/4 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (pow (sqrt -2) 5)))))))) (pow (sqrt -2) 2))) (+ (* -1/5760 (* (pow 1/4 1/4) (/ (* (pow x 7) (pow (sqrt -1) 7)) (pow (sqrt -2) 7)))) (* 1/96 (/ (* (pow x 4) (* (pow (sqrt -1) 4) (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))))) (pow (sqrt -2) 4)))))) (* x (pow y 6)))) (* -2 (/ (- (* 1/120 (* (pow 1/1024 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (pow (sqrt -2) 5)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))))) (pow (sqrt -2) 2))) (* 1/96 (* (pow 1/4 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (pow (sqrt -2) 5)))))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))) x)) (* 1/12 (* (pow 1/4 1/4) (/ (* (pow x 2) (sqrt -1)) (sqrt -2)))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/120 (* (pow 1/1024 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (pow (sqrt -2) 5)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))))) (pow (sqrt -2) 2))) (* 1/96 (* (pow 1/4 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (pow (sqrt -2) 5)))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))) x)) (* 1/12 (* (pow 1/4 1/4) (/ (* (pow x 2) (sqrt -1)) (sqrt -2))))))) (* -1/960 (* (pow 1/4 1/4) (/ (* (pow x 4) (sqrt -1)) (sqrt -2))))))) (pow y 6))) (+ (* -1/960 (* (pow 1/4 1/4) (/ (* (pow x 4) (sqrt -1)) (* (pow y 4) (sqrt -2))))) (+ (* 1/161280 (* (pow 1/4 1/4) (/ (* (pow x 6) (sqrt -1)) (* (pow y 6) (sqrt -2))))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))) x)) (* 1/12 (* (pow 1/4 1/4) (/ (* (pow x 2) (sqrt -1)) (sqrt -2)))))) (pow y 6))) (* 1/12 (* (pow 1/4 1/4) (/ (* (pow x 2) (sqrt -1)) (* (pow y 2) (sqrt -2))))))))))) |
(* -1 (* (pow 1/4 1/4) (/ (* x (sqrt -1)) (* y (sqrt -2))))) |
(* -1 (/ (- (+ (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (* (pow y 2) (pow (sqrt -2) 3))))) (* (pow 1/4 1/4) (/ (* x (sqrt -1)) (sqrt -2)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (* (pow y 2) (pow (sqrt -2) 3)))))) y)) |
(* -1 (/ (- (+ (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (* (pow y 2) (pow (sqrt -2) 3))))) (+ (* 1/120 (* (pow 1/1024 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (* (pow y 4) (pow (sqrt -2) 5))))) (* (pow 1/4 1/4) (/ (* x (sqrt -1)) (sqrt -2))))) (+ (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (* (pow y 2) (pow (sqrt -2) 3))))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))))) (* (pow y 4) (pow (sqrt -2) 2)))) (* 1/96 (* (pow 1/4 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (* (pow y 4) (pow (sqrt -2) 5)))))))) y)) |
(* -1 (/ (- (+ (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (* (pow y 2) (pow (sqrt -2) 3))))) (+ (* -1/5040 (* (pow 1/16384 1/4) (/ (* (pow x 7) (pow (sqrt -1) 7)) (* (pow y 6) (pow (sqrt -2) 7))))) (+ (* 1/120 (* (pow 1/1024 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (* (pow y 4) (pow (sqrt -2) 5))))) (* (pow 1/4 1/4) (/ (* x (sqrt -1)) (sqrt -2)))))) (+ (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (* (pow y 2) (pow (sqrt -2) 3))))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))))) (* (pow y 4) (pow (sqrt -2) 2)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (- (* 1/120 (* (pow 1/1024 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (pow (sqrt -2) 5)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))))) (pow (sqrt -2) 2))) (* 1/96 (* (pow 1/4 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (pow (sqrt -2) 5)))))))) (* (pow y 6) (pow (sqrt -2) 2)))) (+ (* -1/5760 (* (pow 1/4 1/4) (/ (* (pow x 7) (pow (sqrt -1) 7)) (* (pow y 6) (pow (sqrt -2) 7))))) (+ (* 1/96 (* (pow 1/4 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (* (pow y 4) (pow (sqrt -2) 5))))) (* 1/96 (/ (* (pow x 4) (* (pow (sqrt -1) 4) (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))))) (* (pow y 6) (pow (sqrt -2) 4)))))))))) y)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt (/ 1 y)) (/ (sqrt -1) (sqrt -2)))) |
(* -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 (* y (+ (* 1/12 (/ x (pow y 2))) (* 2 (/ 1 x))))) |
(* -1 (* y (- (+ (* -1 (/ (+ (* -1/288 (pow x 3)) (* 1/960 (pow x 3))) (pow y 4))) (* 2 (/ 1 x))) (* -1/12 (/ x (pow y 2)))))) |
(* -1 (* y (- (+ (* -1 (/ (+ (* -1/161280 (pow x 5)) (+ (* 1/23040 (pow x 5)) (* 1/24 (* (pow x 2) (+ (* -1/288 (pow x 3)) (* 1/960 (pow x 3))))))) (pow y 6))) (* 2 (/ 1 x))) (+ (* -1/12 (/ x (pow y 2))) (+ (* -1/288 (/ (pow x 3) (pow y 4))) (* 1/960 (/ (pow x 3) (pow y 4)))))))) |
(* (pow 1/4 1/4) (* (/ (* x (sqrt -1)) (sqrt -2)) (sqrt (/ 1 y)))) |
| Outputs |
|---|
(* -1 (/ x (* y (pow (sqrt 2) 2)))) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt 2) 4))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/24 (/ (pow x 2) (* (pow y 4) (pow (sqrt 2) 8)))) (* 1/2 (/ 1 (* (pow y 2) (pow (sqrt 2) 4))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 5/24 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 8 binary64))) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 y y)))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/720 (/ (pow x 2) (* (pow y 6) (pow (sqrt 2) 12)))) (* 5/24 (/ 1 (* (pow y 4) (pow (sqrt 2) 8)))))) (* 1/2 (/ 1 (* (pow y 2) (pow (sqrt 2) 4))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 61/720 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 12 binary64))) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 5/24 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 y y)))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (/ (pow x 2) (* (pow y 2) (pow (sqrt 2) 4))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (/ (pow x 2) (* (pow y 4) (pow (sqrt 2) 8)))) (* 1/2 (/ 1 (* (pow y 2) (pow (sqrt 2) 4))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 y y)))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/720 (/ (pow x 2) (* (pow y 6) (pow (sqrt 2) 12)))) (* 1/24 (/ 1 (* (pow y 4) (pow (sqrt 2) 8)))))) (* 1/2 (/ 1 (* (pow y 2) (pow (sqrt 2) 4))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/720 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 12 binary64))) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 x x) (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 y y)))) (*.f64 x x) #s(literal 1 binary64)) |
(* (/ x (sqrt 2)) (sqrt (/ 1 y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 x (sqrt.f64 #s(literal 2 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)) |
(* -1/2 (/ 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 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal -1/2 binary64) y)) x) |
(* 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 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64))) #s(literal -1/240 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 (/.f64 (*.f64 x 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 x x) (/.f64 #s(literal -1/2 binary64) y)) x) |
(* 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 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) |
(* 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 (*.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 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (/.f64 (*.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 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -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 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/2 (* x (sqrt (/ 1 y)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* 2 (* (pow 1/4 1/4) (/ 1 (sqrt 2)))) |
(*.f64 (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) |
(+ (* 2 (* (pow 1/4 1/4) (/ 1 (sqrt 2)))) (* (pow x 2) (- (* 2 (* y (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))))) (* -1/12 (* (pow 1/4 1/4) (/ 1 (* (pow y 2) (sqrt 2)))))))) |
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(+ (* 2 (* (pow 1/4 1/4) (/ 1 (sqrt 2)))) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))))) (* (pow x 2) (- (* 2 (* y (- (* 1/120 (* (pow 1/1024 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))) (+ (* -1/4 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))) (* (pow y 2) (pow (sqrt 2) 2)))) (* 1/96 (* (pow 1/4 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))))) (* -1/12 (* (pow 1/4 1/4) (/ 1 (* (pow y 2) (sqrt 2)))))) (pow y 2))) (* 1/960 (* (pow 1/4 1/4) (/ 1 (* (pow y 4) (sqrt 2))))))))) (* -1/12 (* (pow 1/4 1/4) (/ 1 (* (pow y 2) (sqrt 2)))))))) |
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(* (pow 1/4 1/4) (/ x (* y (sqrt 2)))) |
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(* x (+ (* (pow 1/4 1/4) (/ 1 (* y (sqrt 2)))) (* (pow x 2) (- (+ (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* (pow x 2) (- (* 1/120 (* (pow 1/1024 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))) (+ (* -1/4 (/ (- (* -1/6 (* (pow 1/64 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3)))))) (* (pow y 2) (pow (sqrt 2) 2)))) (* 1/96 (* (pow 1/4 1/4) (/ 1 (* (pow y 5) (pow (sqrt 2) 5))))))))) (* -1/4 (* (pow 1/4 1/4) (/ 1 (* (pow y 3) (pow (sqrt 2) 3))))))))) |
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(* -1 (/ (- (+ (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (* (pow y 2) (pow (sqrt -2) 3))))) (+ (* 1/120 (* (pow 1/1024 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (* (pow y 4) (pow (sqrt -2) 5))))) (* (pow 1/4 1/4) (/ (* x (sqrt -1)) (sqrt -2))))) (+ (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (* (pow y 2) (pow (sqrt -2) 3))))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))))) (* (pow y 4) (pow (sqrt -2) 2)))) (* 1/96 (* (pow 1/4 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (* (pow y 4) (pow (sqrt -2) 5)))))))) y)) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 #s(literal 1/64 binary64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y))) (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 #s(literal 1/1024 binary64) #s(literal 1/4 binary64))) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))) (fma.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 #s(literal 1/64 binary64) #s(literal 1/4 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal 1/96 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 5 binary64))))))) (neg.f64 y)) |
(* -1 (/ (- (+ (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (* (pow y 2) (pow (sqrt -2) 3))))) (+ (* -1/5040 (* (pow 1/16384 1/4) (/ (* (pow x 7) (pow (sqrt -1) 7)) (* (pow y 6) (pow (sqrt -2) 7))))) (+ (* 1/120 (* (pow 1/1024 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (* (pow y 4) (pow (sqrt -2) 5))))) (* (pow 1/4 1/4) (/ (* x (sqrt -1)) (sqrt -2)))))) (+ (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (* (pow y 2) (pow (sqrt -2) 3))))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))))) (* (pow y 4) (pow (sqrt -2) 2)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (- (* 1/120 (* (pow 1/1024 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (pow (sqrt -2) 5)))) (+ (* -1/4 (/ (* (pow x 2) (* (pow (sqrt -1) 2) (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))))) (pow (sqrt -2) 2))) (* 1/96 (* (pow 1/4 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (pow (sqrt -2) 5)))))))) (* (pow y 6) (pow (sqrt -2) 2)))) (+ (* -1/5760 (* (pow 1/4 1/4) (/ (* (pow x 7) (pow (sqrt -1) 7)) (* (pow y 6) (pow (sqrt -2) 7))))) (+ (* 1/96 (* (pow 1/4 1/4) (/ (* (pow x 5) (pow (sqrt -1) 5)) (* (pow y 4) (pow (sqrt -2) 5))))) (* 1/96 (/ (* (pow x 4) (* (pow (sqrt -1) 4) (- (* -1/6 (* (pow 1/64 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3)))) (* -1/4 (* (pow 1/4 1/4) (/ (* (pow x 3) (pow (sqrt -1) 3)) (pow (sqrt -2) 3))))))) (* (pow y 6) (pow (sqrt -2) 4)))))))))) y)) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 #s(literal 1/64 binary64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y))) (fma.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 #s(literal 1/16384 binary64) #s(literal 1/4 binary64))) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 #s(literal 1/1024 binary64) #s(literal 1/4 binary64))) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))) (fma.f64 #s(literal -1/4 binary64) (fma.f64 (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 #s(literal 1/64 binary64) #s(literal 1/4 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 #s(literal 1/1024 binary64) #s(literal 1/4 binary64))) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 #s(literal 1/64 binary64) #s(literal 1/4 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))) #s(literal -2 binary64)) #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 1/96 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 5 binary64))))))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 1/96 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 #s(literal 1/64 binary64) #s(literal 1/4 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))))) (pow.f64 y #s(literal 6 binary64))) (*.f64 (/.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 5 binary64))) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) (*.f64 (*.f64 #s(literal -1/5760 binary64) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 7 binary64))))))))) (neg.f64 y)) |
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* (sqrt (/ 1 y)) (/ (sqrt -1) (sqrt -2)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal -2 binary64)))) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 1/48 binary64) y) (*.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 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 1/48 binary64) y) (fma.f64 #s(literal -1/3840 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) x))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 #s(literal 1/645120 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 1/48 binary64) y) (/.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y)) |
(* -1 (* y (+ (* 1/12 (/ x (pow y 2))) (* 2 (/ 1 x))))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 x (*.f64 y y)) #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) x))) |
(* -1 (* y (- (+ (* -1 (/ (+ (* -1/288 (pow x 3)) (* 1/960 (pow x 3))) (pow y 4))) (* 2 (/ 1 x))) (* -1/12 (/ x (pow y 2)))))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -7/2880 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) x)))) |
(* -1 (* y (- (+ (* -1 (/ (+ (* -1/161280 (pow x 5)) (+ (* 1/23040 (pow x 5)) (* 1/24 (* (pow x 2) (+ (* -1/288 (pow x 3)) (* 1/960 (pow x 3))))))) (pow y 6))) (* 2 (/ 1 x))) (+ (* -1/12 (/ x (pow y 2))) (+ (* -1/288 (/ (pow x 3) (pow y 4))) (* 1/960 (/ (pow x 3) (pow y 4)))))))) |
(*.f64 (neg.f64 y) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/26880 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -7/2880 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -7/2880 binary64) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -1/12 binary64))))) |
(* (pow 1/4 1/4) (* (/ (* x (sqrt -1)) (sqrt -2)) (sqrt (/ 1 y)))) |
(*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 243 |
| 0 | 77 | 218 |
| 1 | 223 | 158 |
| 2 | 1084 | 145 |
| 3 | 6679 | 144 |
| 0 | 8408 | 144 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(cos.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))) |
(cos.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) |
(*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) |
(pow.f64 y #s(literal -1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) (neg.f64 x)) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) x) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))) (pow.f64 y #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (neg.f64 x) (sqrt.f64 y))) |
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(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(neg.f64 (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) #s(literal 1 binary64)))) |
(neg.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (sin.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 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 (pow.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(neg.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.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)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(neg.f64 (sin.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) #s(literal 1 binary64)))) |
(neg.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (sin.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) y))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 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 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (neg.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) (neg.f64 x)) |
(*.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) x) #s(literal 1 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (neg.f64 x) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) x) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (sqrt.f64 y)) (/.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (sqrt.f64 y)) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) x) (sqrt.f64 y))) |
(*.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (/.f64 (sqrt.f64 y) x))) |
(*.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (neg.f64 (sqrt.f64 y)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (/.f64 (sqrt.f64 y) x))) |
(*.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) x) |
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64))))))) |
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (sqrt.f64 y))) |
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 x (sqrt.f64 y))) |
(*.f64 (*.f64 (neg.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) x) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/16 binary64)) (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) x)) |
(*.f64 (neg.f64 x) (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (neg.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)))) |
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))) |
(*.f64 (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))) |
(*.f64 x (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) |
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) x) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))) #s(literal -1 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (/.f64 x (sqrt.f64 y))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))) (sqrt.f64 y)) |
(/.f64 (*.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 y)) |
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) x)) |
(/.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) x)) |
(/.f64 (*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) x) #s(literal 1 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (/.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) x) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (/.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) x) (sqrt.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 y))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) x)) |
(/.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 y)) |
(/.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) x)) |
(/.f64 (*.f64 (neg.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))) (neg.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) x) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) |
(/.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 y) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) x) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) x) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) x) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) x) (neg.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))) |
(neg.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)) (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64)))) |
Compiled 31 447 to 4 946 computations (84.3% saved)
120 alts after pruning (116 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 092 | 57 | 1 149 |
| Fresh | 13 | 59 | 72 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 109 | 120 | 1 229 |
| Status | Accuracy | Program |
|---|---|---|
| 46.5% | (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 48.1% | (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) #s(literal -1/2 binary64)) | |
| 48.2% | (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal -1/2 binary64)) | |
| 26.9% | (/.f64 (/.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 20.7% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 23.5% | (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64)))) | |
| 36.5% | (/.f64 (*.f64 (pow.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.6% | (/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))))) | |
| 35.7% | (/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 21.8% | (/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.9% | (/.f64 (tan.f64 (/.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.4% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 15.4% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 20.5% | (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.2% | (/.f64 (tan.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -2 binary64)) #s(literal 0 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 23.8% | (/.f64 (tan.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 #s(literal -2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 21.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1/2 binary64)))) | |
| 23.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 #s(literal 4 binary64) (/.f64 y x))) #s(literal -1/2 binary64)))) | |
| 35.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64)))) | |
| 41.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) | |
| 20.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))) | |
| 23.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)))) | |
| 40.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)) #s(literal -4 binary64))))) | |
| 41.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))))) | |
| ▶ | 40.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) |
| 41.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 37.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64))))))) | |
| ✓ | 42.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 37.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 39.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 41.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| ▶ | 35.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) |
| 4.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) | |
| 37.3% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.3% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.2% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.4% | (/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.4% | (/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 (*.f64 (neg.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.8% | (/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) x)) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.5% | (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.5% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.8% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| 22.3% | (/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 y y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.1% | (/.f64 (tan.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal -1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 18.3% | (/.f64 (tan.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.6% | (/.f64 (tan.f64 (*.f64 (exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.5% | (/.f64 (tan.f64 (*.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 4.8% | (/.f64 (tan.f64 (*.f64 #s(approx (pow y -1/2) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 35.8% | (/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.5% | (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) | |
| 41.8% | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) | |
| 39.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) | |
| 50.0% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal 3 binary64))) (fma.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (-.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 (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)))))))) | |
| 41.8% | (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) | |
| 26.5% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (neg.f64 (pow.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) | |
| 40.1% | (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))) | |
| 41.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 y x) y) (*.f64 #s(literal -2 binary64) y)))) | |
| 49.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y)))) | |
| 49.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))) | |
| 49.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) | |
| 50.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) x)))) | |
| 37.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))) | |
| 49.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) y)) (sqrt.f64 #s(literal 2 binary64))))) | |
| 49.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) | |
| 49.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))) | |
| 50.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))))) | |
| ▶ | 50.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
| 50.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 50.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) (neg.f64 x)))) | |
| 49.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) y) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) | |
| 49.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))))) | |
| 49.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| 50.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| 49.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 x (*.f64 y (sqrt.f64 #s(literal 2 binary64))))))) | |
| 41.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y))))) | |
| 50.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))) | |
| 50.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 37.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) | |
| 37.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 y x) (/.f64 (/.f64 #s(literal -1/2 binary64) y) y)))) | |
| 49.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)))))) | |
| 43.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 (*.f64 y y) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))) | |
| 48.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))) | |
| 49.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y)))))) | |
| 49.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))))))) | |
| 50.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))) | |
| 49.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (*.f64 (exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))) | |
| 48.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 42.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y))))) | |
| 43.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y (*.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))))) | |
| 43.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) y)))))) | |
| ✓ | 50.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
| 49.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))))) | |
| ▶ | 41.8% | (/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) |
| 36.4% | (*.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) | |
| 40.1% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 26.3% | (*.f64 (/.f64 (neg.f64 (neg.f64 (pow.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 26.9% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| ▶ | 39.6% | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
| 39.8% | (*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64))) | |
| 39.8% | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) | |
| 39.8% | (*.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 y)) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 38.9% | (*.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 38.9% | (*.f64 (neg.f64 (tan.f64 (/.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) (sqrt.f64 y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 39.3% | (*.f64 (neg.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) x) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 39.6% | (*.f64 (neg.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 39.0% | (*.f64 (neg.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 38.4% | (*.f64 (neg.f64 (tan.f64 (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 39.3% | (*.f64 (neg.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -1/8 binary64))))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 39.0% | (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y))))) | |
| 39.0% | (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))))) | |
| 38.9% | (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 y (sqrt.f64 #s(literal 2 binary64))))))) | |
| 38.9% | (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))))))) | |
| 39.2% | (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) | |
| 38.7% | (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) | |
| 38.8% | (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))))) | |
| 38.9% | (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) y)))))) | |
| 38.4% | (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 x y))))) | |
| 4.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) | |
| ✓ | 7.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64)) |
| ✓ | 48.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 4 637 to 3 489 computations (24.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| cost-diff | 192 | (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)) | |
| cost-diff | 12928 | (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 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 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) | |
| cost-diff | 1600 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 1600 | (*.f64 (sqrt.f64 y) (sqrt.f64 y)) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/8 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| cost-diff | 128 | (cos.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) | |
| cost-diff | 384 | (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) | |
| cost-diff | 1024 | (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))) |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 382 |
| 0 | 94 | 334 |
| 1 | 147 | 328 |
| 2 | 291 | 325 |
| 3 | 635 | 311 |
| 4 | 1088 | 305 |
| 5 | 1634 | 305 |
| 6 | 3342 | 302 |
| 7 | 4793 | 302 |
| 8 | 5771 | 302 |
| 9 | 6738 | 302 |
| 0 | 8131 | 302 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) |
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) |
#s(literal 2 binary64) |
#s(literal -1/2 binary64) |
(/.f64 (sqrt.f64 y) x) |
(sqrt.f64 y) |
y |
x |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) |
#s(literal -1 binary64) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
#s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(/.f64 #s(literal -1/8 binary64) y) |
#s(literal -1/8 binary64) |
y |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
#s(literal -1 binary64) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
(tan.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 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #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 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
(sqrt.f64 y) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 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 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)) |
(log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(/.f64 (*.f64 #s(literal 2 binary64) y) x) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) y) x) (fabs.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) |
(cos.f64 (/.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) y) x) (fabs.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))) |
(*.f64 (/.f64 (/.f64 x y) (fabs.f64 (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))) |
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) |
(*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) |
(pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) |
#s(literal 2 binary64) |
#s(literal -1/2 binary64) |
(/.f64 (sqrt.f64 y) x) |
(sqrt.f64 y) |
y |
x |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) |
#s(literal -1 binary64) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) y)) |
(sqrt.f64 (*.f64 y #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/8 binary64) y) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
#s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/8 binary64) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal -1/8 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal -1/8 binary64) y) |
#s(literal -1/8 binary64) |
y |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
#s(literal -1 binary64) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 1/2 binary64) |
(tan.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 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (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 1/2 binary64))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
x |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
y |
(sqrt.f64 y) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (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 1/2 binary64))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
x |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
(sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)) |
(neg.f64 (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x))) |
(log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) |
(log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x)) |
(/.f64 (*.f64 #s(literal 2 binary64) y) x) |
(/.f64 (*.f64 y #s(literal 2 binary64)) x) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 5.257870272067331 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| accuracy | 14.535784420092522 | (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) | |
| accuracy | 31.950641233556095 | (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) | |
| accuracy | 32.16820624831238 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 1.0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 5.257870272067331 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) | |
| accuracy | 31.950641233556095 | (sin.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| accuracy | 32.16820624831238 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 0.20703125 | (*.f64 (/.f64 #s(literal -1/2 binary64) y) x) | |
| accuracy | 6.545311531835773 | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| accuracy | 31.950641233556095 | (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) | |
| accuracy | 32.13720340315962 | (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) | |
| accuracy | 0.09375 | (/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) | |
| accuracy | 1.4742885076415153 | (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) | |
| accuracy | 7.60439244163864 | (/.f64 (*.f64 x x) y) | |
| accuracy | 35.745246934217924 | #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) | |
| accuracy | 0.28419877930532605 | (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))) | |
| accuracy | 0.2890625 | (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 0.5906408113256941 | (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) | |
| accuracy | 31.710479626697197 | (cos.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) |
| 234.0ms | 139× | 1 | valid |
| 74.0ms | 117× | 0 | valid |
Compiled 745 to 112 computations (85% saved)
ival-mult: 75.0ms (30.1% of total)ival-div: 53.0ms (21.3% of total)ival-pow: 29.0ms (11.7% of total)ival-sin: 21.0ms (8.4% of total)ival-tan: 16.0ms (6.4% of total)ival-cos: 13.0ms (5.2% of total)ival-log: 12.0ms (4.8% of total)ival-exp: 9.0ms (3.6% of total)ival-sqrt: 9.0ms (3.6% of total)adjust: 8.0ms (3.2% of total)ival-neg: 2.0ms (0.8% of total)ival-add: 2.0ms (0.8% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) |
(cos.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) |
#s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(/.f64 #s(literal -1/8 binary64) y) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (*.f64 x x) y) |
(tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(sin.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
(sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) |
(log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) |
| Outputs |
|---|
(* -1 (/ (* x (sqrt 1/2)) (* y (sqrt 2)))) |
(* (* x (sqrt 1/2)) (sqrt (/ 1 y))) |
1 |
(+ 1 (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (pow (sqrt 2) 2))))) |
(+ 1 (* (pow x 2) (+ (* -1/2 (/ (pow (sqrt 1/2) 2) (* (pow y 2) (pow (sqrt 2) 2)))) (* 1/24 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (* (pow y 4) (pow (sqrt 2) 4))))))) |
(+ 1 (* (pow x 2) (+ (* -1/2 (/ (pow (sqrt 1/2) 2) (* (pow y 2) (pow (sqrt 2) 2)))) (* (pow x 2) (+ (* -1/720 (/ (* (pow x 2) (pow (sqrt 1/2) 6)) (* (pow y 6) (pow (sqrt 2) 6)))) (* 1/24 (/ (pow (sqrt 1/2) 4) (* (pow y 4) (pow (sqrt 2) 4))))))))) |
(+ 1 (* 1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (pow (sqrt 2) 2))))) |
(+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ (pow (sqrt 1/2) 4) (* (pow y 4) (pow (sqrt 2) 4)))) (* 1/24 (/ (pow (sqrt 1/2) 4) (* (pow y 4) (pow (sqrt 2) 4))))))) (* -1/2 (/ (pow (sqrt 1/2) 2) (* (pow y 2) (pow (sqrt 2) 2))))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 (/ (pow (sqrt 1/2) 6) (* (pow y 6) (pow (sqrt 2) 6)))) (+ (* 1/48 (/ (pow (sqrt 1/2) 6) (* (pow y 6) (pow (sqrt 2) 6)))) (* 1/2 (/ (* (pow (sqrt 1/2) 2) (+ (* -1/4 (/ (pow (sqrt 1/2) 4) (* (pow y 4) (pow (sqrt 2) 4)))) (* 1/24 (/ (pow (sqrt 1/2) 4) (* (pow y 4) (pow (sqrt 2) 4)))))) (* (pow y 2) (pow (sqrt 2) 2)))))))) (+ (* -1/4 (/ (pow (sqrt 1/2) 4) (* (pow y 4) (pow (sqrt 2) 4)))) (* 1/24 (/ (pow (sqrt 1/2) 4) (* (pow y 4) (pow (sqrt 2) 4))))))) (* -1/2 (/ (pow (sqrt 1/2) 2) (* (pow y 2) (pow (sqrt 2) 2))))))) |
(+ 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)))))) |
(* -2 (/ y x)) |
(/ (+ (* -2 y) (* -1/12 (/ (pow x 2) y))) x) |
(/ (+ (* -2 y) (* (pow x 2) (- (* -7/2880 (/ (pow x 2) (pow y 3))) (* 1/12 (/ 1 y))))) x) |
(/ (+ (* -2 y) (* (pow x 2) (- (* (pow x 2) (- (* -31/483840 (/ (pow x 2) (pow y 5))) (* 7/2880 (/ 1 (pow y 3))))) (* 1/12 (/ 1 y))))) x) |
(* 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)))) |
(* 1/2 (pow (sqrt 2) 2)) |
(+ (* 1/2 (pow (sqrt 2) 2)) (* (pow x 2) (+ (* 1/24 (/ (pow (sqrt 2) 2) (pow y 2))) (* 1/12 (/ 1 (* (pow y 2) (pow (sqrt 2) 2))))))) |
(+ (* 1/2 (pow (sqrt 2) 2)) (* (pow x 2) (+ (* 1/24 (/ (pow (sqrt 2) 2) (pow y 2))) (+ (* 1/12 (/ 1 (* (pow y 2) (pow (sqrt 2) 2)))) (* (pow x 2) (- (* 1/240 (/ (pow (sqrt 2) 2) (pow y 4))) (+ (* -1/6 (/ (+ (* 1/24 (/ (pow (sqrt 2) 2) (pow y 2))) (* 1/12 (/ 1 (* (pow y 2) (pow (sqrt 2) 2))))) (* (pow y 2) (pow (sqrt 2) 4)))) (* 1/240 (/ 1 (* (pow y 4) (pow (sqrt 2) 6))))))))))) |
(+ (* 1/2 (pow (sqrt 2) 2)) (* (pow x 2) (+ (* 1/24 (/ (pow (sqrt 2) 2) (pow y 2))) (+ (* 1/12 (/ 1 (* (pow y 2) (pow (sqrt 2) 2)))) (* (pow x 2) (- (+ (* 1/240 (/ (pow (sqrt 2) 2) (pow y 4))) (* (pow x 2) (- (+ (* 1/10080 (/ 1 (* (pow y 6) (pow (sqrt 2) 10)))) (* 17/40320 (/ (pow (sqrt 2) 2) (pow y 6)))) (+ (* -1/6 (/ (- (* 1/240 (/ (pow (sqrt 2) 2) (pow y 4))) (+ (* -1/6 (/ (+ (* 1/24 (/ (pow (sqrt 2) 2) (pow y 2))) (* 1/12 (/ 1 (* (pow y 2) (pow (sqrt 2) 2))))) (* (pow y 2) (pow (sqrt 2) 4)))) (* 1/240 (/ 1 (* (pow y 4) (pow (sqrt 2) 6)))))) (* (pow y 2) (pow (sqrt 2) 4)))) (* 1/120 (/ (+ (* 1/24 (/ (pow (sqrt 2) 2) (pow y 2))) (* 1/12 (/ 1 (* (pow y 2) (pow (sqrt 2) 2))))) (* (pow y 4) (pow (sqrt 2) 8)))))))) (+ (* -1/6 (/ (+ (* 1/24 (/ (pow (sqrt 2) 2) (pow y 2))) (* 1/12 (/ 1 (* (pow y 2) (pow (sqrt 2) 2))))) (* (pow y 2) (pow (sqrt 2) 4)))) (* 1/240 (/ 1 (* (pow y 4) (pow (sqrt 2) 6))))))))))) |
(* 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 (+ (log (* 2 y)) (* -1 (log x)))) |
(/ (pow x 2) y) |
(* -1/2 (/ x y)) |
(* x (- (* -1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (- (* (pow x 2) (- (* -1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ x (* y (pow (sqrt 2) 2))) |
(* x (+ (* -1/6 (/ (pow x 2) (* (pow y 3) (pow (sqrt 2) 6)))) (/ 1 (* y (pow (sqrt 2) 2))))) |
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (* (pow y 5) (pow (sqrt 2) 10)))) (* 1/6 (/ 1 (* (pow y 3) (pow (sqrt 2) 6)))))) (/ 1 (* y (pow (sqrt 2) 2))))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (* (pow y 7) (pow (sqrt 2) 14)))) (* 1/120 (/ 1 (* (pow y 5) (pow (sqrt 2) 10)))))) (* 1/6 (/ 1 (* (pow y 3) (pow (sqrt 2) 6)))))) (/ 1 (* y (pow (sqrt 2) 2))))) |
(+ (log (* 2 y)) (* -1 (log x))) |
(cos (* -1 (/ (* x (sqrt 1/2)) (* y (sqrt 2))))) |
(/ 1 (cos (* -1 (/ (* x (sqrt 1/2)) (* y (sqrt 2)))))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(cos (* -1/2 (/ x y))) |
(* -1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (sin (* 1/2 (/ x y)))))) |
(/ -1 (sin (* 1/2 (/ x y)))) |
(sin (* 1/2 (/ x y))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ x (* y (pow (sqrt 2) 2)))))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* -1 (+ (log (* 2 y)) (log (/ 1 x)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* -1/2 (/ x y))) (cos (* -1/2 (/ x y)))) |
(sin (/ x (* y (pow (sqrt 2) 2)))) |
(+ (log (* 2 y)) (log (/ 1 x))) |
(* -1 (+ (log (* -2 y)) (log (/ -1 x)))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(/ (+ (* -1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ -1/8 y) |
y |
(* -1 (+ (log y) (log (/ 2 x)))) |
(* -1 (* (sqrt (/ 1 y)) (/ 1 (sqrt 2)))) |
(+ (log y) (log (/ 2 x))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (pow (sqrt 2) 2)))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (* (pow y 4) (pow (sqrt 2) 4)))))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (pow (sqrt 2) 2)))) (+ (* -1/720 (/ (* (pow x 6) (pow (sqrt 1/2) 6)) (* (pow y 6) (pow (sqrt 2) 6)))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (* (pow y 4) (pow (sqrt 2) 4))))))) |
(- (+ 1 (* -1 (/ (+ (* -1/4 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (pow (sqrt 2) 4))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (pow (sqrt 2) 4)))) (pow y 4)))) (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (pow (sqrt 2) 2))))) |
(- (+ 1 (* -1 (/ (+ (* -1/720 (/ (* (pow x 6) (pow (sqrt 1/2) 6)) (pow (sqrt 2) 6))) (+ (* 1/48 (/ (* (pow x 6) (pow (sqrt 1/2) 6)) (pow (sqrt 2) 6))) (* 1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 2) (+ (* -1/4 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (pow (sqrt 2) 4))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (pow (sqrt 2) 4)))))) (pow (sqrt 2) 2))))) (pow y 6)))) (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (pow (sqrt 2) 2)))) (+ (* -1/4 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (* (pow y 4) (pow (sqrt 2) 4)))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (* (pow y 4) (pow (sqrt 2) 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 (* -1 (/ (- (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* 1/24 (pow x 2))) (pow y 2)))) |
(+ 1 (+ (* -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)) (+ (* -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 4))) (* -1 (/ (- (* 2 (/ (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))) x)) (* 1/24 (pow x 2))) (pow y 2))))) |
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(* y (- (* -1/12 (/ x (pow y 2))) (* 2 (/ 1 x)))) |
(* y (- (* -1 (/ (+ (* -1/960 (pow x 3)) (* 1/288 (pow x 3))) (pow y 4))) (+ (* 1/12 (/ x (pow y 2))) (* 2 (/ 1 x))))) |
(* y (- (* -1 (/ (+ (* -1/23040 (pow x 5)) (+ (* 1/161280 (pow x 5)) (* 1/24 (* (pow x 2) (+ (* -1/960 (pow x 3)) (* 1/288 (pow x 3))))))) (pow y 6))) (+ (* -1/960 (/ (pow x 3) (pow y 4))) (+ (* 1/288 (/ (pow x 3) (pow y 4))) (+ (* 1/12 (/ x (pow y 2))) (* 2 (/ 1 x))))))) |
(/ (+ (* -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) |
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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) |
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(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
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(/ (- (+ (* -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) |
(/ (+ (* -1/6 (/ (pow x 3) (* (pow y 2) (pow (sqrt 2) 6)))) (/ x (pow (sqrt 2) 2))) y) |
(/ (+ (* -1/6 (/ (pow x 3) (* (pow y 2) (pow (sqrt 2) 6)))) (+ (* 1/120 (/ (pow x 5) (* (pow y 4) (pow (sqrt 2) 10)))) (/ x (pow (sqrt 2) 2)))) y) |
(/ (+ (* -1/6 (/ (pow x 3) (* (pow y 2) (pow (sqrt 2) 6)))) (+ (* -1/5040 (/ (pow x 7) (* (pow y 6) (pow (sqrt 2) 14)))) (+ (* 1/120 (/ (pow x 5) (* (pow y 4) (pow (sqrt 2) 10)))) (/ x (pow (sqrt 2) 2))))) y) |
(+ (log (/ 2 x)) (* -1 (log (/ 1 y)))) |
(/ (* x (sqrt 1/2)) (* y (* (sqrt -2) (sqrt -1)))) |
(+ 1 (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (* (pow (sqrt -2) 2) (pow (sqrt -1) 2)))))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (* (pow (sqrt -2) 2) (pow (sqrt -1) 2))))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (* (pow y 4) (* (pow (sqrt -2) 4) (pow (sqrt -1) 4))))))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (* (pow (sqrt -2) 2) (pow (sqrt -1) 2))))) (+ (* -1/720 (/ (* (pow x 6) (pow (sqrt 1/2) 6)) (* (pow y 6) (* (pow (sqrt -2) 6) (pow (sqrt -1) 6))))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (* (pow y 4) (* (pow (sqrt -2) 4) (pow (sqrt -1) 4)))))))) |
(+ 1 (* 1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (* (pow (sqrt -2) 2) (pow (sqrt -1) 2)))))) |
(- (+ 1 (* -1 (/ (+ (* -1/4 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (* (pow (sqrt -2) 4) (pow (sqrt -1) 4)))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (* (pow (sqrt -2) 4) (pow (sqrt -1) 4))))) (pow y 4)))) (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (* (pow (sqrt -2) 2) (pow (sqrt -1) 2)))))) |
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(+ 1 (* 1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (* (pow x 4) (pow (sqrt -1) 8))) (* 1/384 (* (pow x 4) (pow (sqrt -1) 8)))) (pow y 4)))) (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (* (pow x 6) (pow (sqrt -1) 12))) (+ (* 1/3072 (* (pow x 6) (pow (sqrt -1) 12))) (* 1/8 (* (pow x 2) (* (pow (sqrt -1) 4) (+ (* -1/64 (* (pow x 4) (pow (sqrt -1) 8))) (* 1/384 (* (pow x 4) (pow (sqrt -1) 8))))))))) (pow y 6)))) (+ (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))) (+ (* -1/64 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4))) (* 1/384 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4)))))) |
(+ 1 (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2)))) |
(+ 1 (+ (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))) (* 1/384 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4))))) |
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(+ 1 (* -1 (/ (- (* -2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* 1/24 (pow x 2))) (pow y 2)))) |
(+ 1 (+ (* -1 (/ (- (* -2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* 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)) (+ (* -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 4))))) |
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(* -1 (* y (+ (* 1/12 (/ x (pow y 2))) (* 2 (/ 1 x))))) |
(* -1 (* y (- (+ (* -1 (/ (+ (* -1/288 (pow x 3)) (* 1/960 (pow x 3))) (pow y 4))) (* 2 (/ 1 x))) (* -1/12 (/ x (pow y 2)))))) |
(* -1 (* y (- (+ (* -1 (/ (+ (* -1/161280 (pow x 5)) (+ (* 1/23040 (pow x 5)) (* 1/24 (* (pow x 2) (+ (* -1/288 (pow x 3)) (* 1/960 (pow x 3))))))) (pow y 6))) (* 2 (/ 1 x))) (+ (* -1/12 (/ x (pow y 2))) (+ (* -1/288 (/ (pow x 3) (pow y 4))) (* 1/960 (/ (pow x 3) (pow y 4)))))))) |
(* -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 (* y (pow (sqrt -1) 2))) |
(* -1/2 (* (pow (sqrt -1) 2) (pow (sqrt 2) 2))) |
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(- (+ (* -1/2 (* (pow (sqrt -1) 2) (pow (sqrt 2) 2))) (+ (/ (* (pow (sqrt -1) 2) (* (pow (sqrt 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))) (+ (/ (* (pow (sqrt -1) 2) (* (pow (sqrt 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))) (/ (* (pow (sqrt -1) 2) (* (pow (sqrt 2) 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* x (pow y 2)))))) (+ (* -1/6 (/ (* (pow x 2) (- (/ (* (pow (sqrt -1) 2) (* (pow (sqrt 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) (+ (* -1/6 (/ (* (pow x 2) (- (/ (* (pow (sqrt -1) 2) (* (pow (sqrt 2) 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) x) (* 1/12 (/ (pow x 2) (* (pow (sqrt -1) 2) (pow (sqrt 2) 2)))))) (* (pow (sqrt -1) 4) (pow (sqrt 2) 4)))) (* -1/240 (/ (pow x 4) (* (pow (sqrt -1) 6) (pow (sqrt 2) 6))))))) (* (pow y 6) (* (pow (sqrt -1) 4) (pow (sqrt 2) 4))))) (+ (* -1/6 (/ (* (pow x 2) (- (/ (* (pow (sqrt -1) 2) (* (pow (sqrt 2) 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) x) (* 1/12 (/ (pow x 2) (* (pow (sqrt -1) 2) (pow (sqrt 2) 2)))))) (* (pow y 4) (* (pow (sqrt -1) 4) (pow (sqrt 2) 4))))) (+ (* -1/240 (/ (pow x 4) (* (pow y 4) (* (pow (sqrt -1) 6) (pow (sqrt 2) 6))))) (+ (* 1/10080 (/ (pow x 6) (* (pow y 6) (* (pow (sqrt -1) 10) (pow (sqrt 2) 10))))) (+ (* 1/120 (/ (* (pow x 4) (- (/ (* (pow (sqrt -1) 2) (* (pow (sqrt 2) 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) x) (* 1/12 (/ (pow x 2) (* (pow (sqrt -1) 2) (pow (sqrt 2) 2)))))) (* (pow y 6) (* (pow (sqrt -1) 8) (pow (sqrt 2) 8))))) (* 1/12 (/ (pow x 2) (* (pow y 2) (* (pow (sqrt -1) 2) (pow (sqrt 2) 2))))))))))) |
(* -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 (+ (log (/ -2 x)) (* -1 (log (/ -1 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 (* (sqrt (/ 1 y)) (/ (sqrt -1) (sqrt -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 (/ x (* y (* (pow (sqrt -1) 2) (pow (sqrt 2) 2))))) |
(* -1 (/ (+ (* -1/6 (/ (pow x 3) (* (pow y 2) (* (pow (sqrt -1) 6) (pow (sqrt 2) 6))))) (/ x (* (pow (sqrt -1) 2) (pow (sqrt 2) 2)))) y)) |
(* -1 (/ (+ (* -1/6 (/ (pow x 3) (* (pow y 2) (* (pow (sqrt -1) 6) (pow (sqrt 2) 6))))) (+ (* 1/120 (/ (pow x 5) (* (pow y 4) (* (pow (sqrt -1) 10) (pow (sqrt 2) 10))))) (/ x (* (pow (sqrt -1) 2) (pow (sqrt 2) 2))))) y)) |
(* -1 (/ (+ (* -1/6 (/ (pow x 3) (* (pow y 2) (* (pow (sqrt -1) 6) (pow (sqrt 2) 6))))) (+ (* -1/5040 (/ (pow x 7) (* (pow y 6) (* (pow (sqrt -1) 14) (pow (sqrt 2) 14))))) (+ (* 1/120 (/ (pow x 5) (* (pow y 4) (* (pow (sqrt -1) 10) (pow (sqrt 2) 10))))) (/ x (* (pow (sqrt -1) 2) (pow (sqrt 2) 2)))))) y)) |
(+ (log (/ -2 x)) (* -1 (log (/ -1 y)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 52.0ms | y | @ | -inf | ((* (/ (pow 2 -1/2) (/ (sqrt y) x)) (/ -1 (sqrt (* 2 y)))) (/ (pow 2 -1/2) (/ (sqrt y) x)) (cos (* (/ (pow 2 -1/2) (/ (sqrt y) x)) (/ -1 (sqrt (* 2 y))))) (/ 1 (cos (* (/ (pow 2 -1/2) (/ (sqrt y) x)) (/ -1 (sqrt (* 2 y)))))) (/ 1 (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2))))) (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (/ -1/8 y) (* (/ -1 (sin (* (/ x y) 1/2))) (tan (* (/ -1/2 y) x))) (/ -1 (sin (* (/ x y) 1/2))) (sin (* (/ x y) 1/2)) (* (/ x y) 1/2) (* (sqrt y) (sqrt y)) (* (sqrt 2) (sqrt 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* (* (sqrt y) (sqrt y)) (* (sqrt 2) (sqrt 2)))))) (tan (/ x (* y 2))) (exp (* (log (/ (* 2 y) x)) -1)) (* (log (/ (* 2 y) x)) -1) (/ (tan (/ x (* y 2))) (sin (exp (* (log (/ (* 2 y) x)) -1)))) (/ -1 (sqrt (* 2 y))) (/ (* x x) y) (tan (* (/ -1/2 y) x)) (* (/ -1/2 y) x) (sin (/ x (* (* (sqrt y) (sqrt y)) (* (sqrt 2) (sqrt 2))))) (sin (exp (* (log (/ (* 2 y) x)) -1))) (log (/ (* 2 y) x))) |
| 50.0ms | x | @ | 0 | ((* (/ (pow 2 -1/2) (/ (sqrt y) x)) (/ -1 (sqrt (* 2 y)))) (/ (pow 2 -1/2) (/ (sqrt y) x)) (cos (* (/ (pow 2 -1/2) (/ (sqrt y) x)) (/ -1 (sqrt (* 2 y))))) (/ 1 (cos (* (/ (pow 2 -1/2) (/ (sqrt y) x)) (/ -1 (sqrt (* 2 y)))))) (/ 1 (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2))))) (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (/ -1/8 y) (* (/ -1 (sin (* (/ x y) 1/2))) (tan (* (/ -1/2 y) x))) (/ -1 (sin (* (/ x y) 1/2))) (sin (* (/ x y) 1/2)) (* (/ x y) 1/2) (* (sqrt y) (sqrt y)) (* (sqrt 2) (sqrt 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* (* (sqrt y) (sqrt y)) (* (sqrt 2) (sqrt 2)))))) (tan (/ x (* y 2))) (exp (* (log (/ (* 2 y) x)) -1)) (* (log (/ (* 2 y) x)) -1) (/ (tan (/ x (* y 2))) (sin (exp (* (log (/ (* 2 y) x)) -1)))) (/ -1 (sqrt (* 2 y))) (/ (* x x) y) (tan (* (/ -1/2 y) x)) (* (/ -1/2 y) x) (sin (/ x (* (* (sqrt y) (sqrt y)) (* (sqrt 2) (sqrt 2))))) (sin (exp (* (log (/ (* 2 y) x)) -1))) (log (/ (* 2 y) x))) |
| 24.0ms | y | @ | 0 | ((* (/ (pow 2 -1/2) (/ (sqrt y) x)) (/ -1 (sqrt (* 2 y)))) (/ (pow 2 -1/2) (/ (sqrt y) x)) (cos (* (/ (pow 2 -1/2) (/ (sqrt y) x)) (/ -1 (sqrt (* 2 y))))) (/ 1 (cos (* (/ (pow 2 -1/2) (/ (sqrt y) x)) (/ -1 (sqrt (* 2 y)))))) (/ 1 (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2))))) (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (/ -1/8 y) (* (/ -1 (sin (* (/ x y) 1/2))) (tan (* (/ -1/2 y) x))) (/ -1 (sin (* (/ x y) 1/2))) (sin (* (/ x y) 1/2)) (* (/ x y) 1/2) (* (sqrt y) (sqrt y)) (* (sqrt 2) (sqrt 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* (* (sqrt y) (sqrt y)) (* (sqrt 2) (sqrt 2)))))) (tan (/ x (* y 2))) (exp (* (log (/ (* 2 y) x)) -1)) (* (log (/ (* 2 y) x)) -1) (/ (tan (/ x (* y 2))) (sin (exp (* (log (/ (* 2 y) x)) -1)))) (/ -1 (sqrt (* 2 y))) (/ (* x x) y) (tan (* (/ -1/2 y) x)) (* (/ -1/2 y) x) (sin (/ x (* (* (sqrt y) (sqrt y)) (* (sqrt 2) (sqrt 2))))) (sin (exp (* (log (/ (* 2 y) x)) -1))) (log (/ (* 2 y) x))) |
| 21.0ms | x | @ | -inf | ((* (/ (pow 2 -1/2) (/ (sqrt y) x)) (/ -1 (sqrt (* 2 y)))) (/ (pow 2 -1/2) (/ (sqrt y) x)) (cos (* (/ (pow 2 -1/2) (/ (sqrt y) x)) (/ -1 (sqrt (* 2 y))))) (/ 1 (cos (* (/ (pow 2 -1/2) (/ (sqrt y) x)) (/ -1 (sqrt (* 2 y)))))) (/ 1 (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2))))) (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (/ -1/8 y) (* (/ -1 (sin (* (/ x y) 1/2))) (tan (* (/ -1/2 y) x))) (/ -1 (sin (* (/ x y) 1/2))) (sin (* (/ x y) 1/2)) (* (/ x y) 1/2) (* (sqrt y) (sqrt y)) (* (sqrt 2) (sqrt 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* (* (sqrt y) (sqrt y)) (* (sqrt 2) (sqrt 2)))))) (tan (/ x (* y 2))) (exp (* (log (/ (* 2 y) x)) -1)) (* (log (/ (* 2 y) x)) -1) (/ (tan (/ x (* y 2))) (sin (exp (* (log (/ (* 2 y) x)) -1)))) (/ -1 (sqrt (* 2 y))) (/ (* x x) y) (tan (* (/ -1/2 y) x)) (* (/ -1/2 y) x) (sin (/ x (* (* (sqrt y) (sqrt y)) (* (sqrt 2) (sqrt 2))))) (sin (exp (* (log (/ (* 2 y) x)) -1))) (log (/ (* 2 y) x))) |
| 17.0ms | y | @ | inf | ((* (/ (pow 2 -1/2) (/ (sqrt y) x)) (/ -1 (sqrt (* 2 y)))) (/ (pow 2 -1/2) (/ (sqrt y) x)) (cos (* (/ (pow 2 -1/2) (/ (sqrt y) x)) (/ -1 (sqrt (* 2 y))))) (/ 1 (cos (* (/ (pow 2 -1/2) (/ (sqrt y) x)) (/ -1 (sqrt (* 2 y)))))) (/ 1 (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2))))) (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (/ -1/8 y) (* (/ -1 (sin (* (/ x y) 1/2))) (tan (* (/ -1/2 y) x))) (/ -1 (sin (* (/ x y) 1/2))) (sin (* (/ x y) 1/2)) (* (/ x y) 1/2) (* (sqrt y) (sqrt y)) (* (sqrt 2) (sqrt 2)) (/ (tan (/ x (* y 2))) (sin (/ x (* (* (sqrt y) (sqrt y)) (* (sqrt 2) (sqrt 2)))))) (tan (/ x (* y 2))) (exp (* (log (/ (* 2 y) x)) -1)) (* (log (/ (* 2 y) x)) -1) (/ (tan (/ x (* y 2))) (sin (exp (* (log (/ (* 2 y) x)) -1)))) (/ -1 (sqrt (* 2 y))) (/ (* x x) y) (tan (* (/ -1/2 y) x)) (* (/ -1/2 y) x) (sin (/ x (* (* (sqrt y) (sqrt y)) (* (sqrt 2) (sqrt 2))))) (sin (exp (* (log (/ (* 2 y) x)) -1))) (log (/ (* 2 y) x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1027 | 6619 |
| 1 | 3175 | 5806 |
| 0 | 8573 | 5494 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* x (sqrt 1/2)) (* y (sqrt 2)))) |
(* (* x (sqrt 1/2)) (sqrt (/ 1 y))) |
1 |
(+ 1 (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (pow (sqrt 2) 2))))) |
(+ 1 (* (pow x 2) (+ (* -1/2 (/ (pow (sqrt 1/2) 2) (* (pow y 2) (pow (sqrt 2) 2)))) (* 1/24 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (* (pow y 4) (pow (sqrt 2) 4))))))) |
(+ 1 (* (pow x 2) (+ (* -1/2 (/ (pow (sqrt 1/2) 2) (* (pow y 2) (pow (sqrt 2) 2)))) (* (pow x 2) (+ (* -1/720 (/ (* (pow x 2) (pow (sqrt 1/2) 6)) (* (pow y 6) (pow (sqrt 2) 6)))) (* 1/24 (/ (pow (sqrt 1/2) 4) (* (pow y 4) (pow (sqrt 2) 4))))))))) |
(+ 1 (* 1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (pow (sqrt 2) 2))))) |
(+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ (pow (sqrt 1/2) 4) (* (pow y 4) (pow (sqrt 2) 4)))) (* 1/24 (/ (pow (sqrt 1/2) 4) (* (pow y 4) (pow (sqrt 2) 4))))))) (* -1/2 (/ (pow (sqrt 1/2) 2) (* (pow y 2) (pow (sqrt 2) 2))))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 (/ (pow (sqrt 1/2) 6) (* (pow y 6) (pow (sqrt 2) 6)))) (+ (* 1/48 (/ (pow (sqrt 1/2) 6) (* (pow y 6) (pow (sqrt 2) 6)))) (* 1/2 (/ (* (pow (sqrt 1/2) 2) (+ (* -1/4 (/ (pow (sqrt 1/2) 4) (* (pow y 4) (pow (sqrt 2) 4)))) (* 1/24 (/ (pow (sqrt 1/2) 4) (* (pow y 4) (pow (sqrt 2) 4)))))) (* (pow y 2) (pow (sqrt 2) 2)))))))) (+ (* -1/4 (/ (pow (sqrt 1/2) 4) (* (pow y 4) (pow (sqrt 2) 4)))) (* 1/24 (/ (pow (sqrt 1/2) 4) (* (pow y 4) (pow (sqrt 2) 4))))))) (* -1/2 (/ (pow (sqrt 1/2) 2) (* (pow y 2) (pow (sqrt 2) 2))))))) |
(+ 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)))))) |
(* -2 (/ y x)) |
(/ (+ (* -2 y) (* -1/12 (/ (pow x 2) y))) x) |
(/ (+ (* -2 y) (* (pow x 2) (- (* -7/2880 (/ (pow x 2) (pow y 3))) (* 1/12 (/ 1 y))))) x) |
(/ (+ (* -2 y) (* (pow x 2) (- (* (pow x 2) (- (* -31/483840 (/ (pow x 2) (pow y 5))) (* 7/2880 (/ 1 (pow y 3))))) (* 1/12 (/ 1 y))))) x) |
(* 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)))) |
(* 1/2 (pow (sqrt 2) 2)) |
(+ (* 1/2 (pow (sqrt 2) 2)) (* (pow x 2) (+ (* 1/24 (/ (pow (sqrt 2) 2) (pow y 2))) (* 1/12 (/ 1 (* (pow y 2) (pow (sqrt 2) 2))))))) |
(+ (* 1/2 (pow (sqrt 2) 2)) (* (pow x 2) (+ (* 1/24 (/ (pow (sqrt 2) 2) (pow y 2))) (+ (* 1/12 (/ 1 (* (pow y 2) (pow (sqrt 2) 2)))) (* (pow x 2) (- (* 1/240 (/ (pow (sqrt 2) 2) (pow y 4))) (+ (* -1/6 (/ (+ (* 1/24 (/ (pow (sqrt 2) 2) (pow y 2))) (* 1/12 (/ 1 (* (pow y 2) (pow (sqrt 2) 2))))) (* (pow y 2) (pow (sqrt 2) 4)))) (* 1/240 (/ 1 (* (pow y 4) (pow (sqrt 2) 6))))))))))) |
(+ (* 1/2 (pow (sqrt 2) 2)) (* (pow x 2) (+ (* 1/24 (/ (pow (sqrt 2) 2) (pow y 2))) (+ (* 1/12 (/ 1 (* (pow y 2) (pow (sqrt 2) 2)))) (* (pow x 2) (- (+ (* 1/240 (/ (pow (sqrt 2) 2) (pow y 4))) (* (pow x 2) (- (+ (* 1/10080 (/ 1 (* (pow y 6) (pow (sqrt 2) 10)))) (* 17/40320 (/ (pow (sqrt 2) 2) (pow y 6)))) (+ (* -1/6 (/ (- (* 1/240 (/ (pow (sqrt 2) 2) (pow y 4))) (+ (* -1/6 (/ (+ (* 1/24 (/ (pow (sqrt 2) 2) (pow y 2))) (* 1/12 (/ 1 (* (pow y 2) (pow (sqrt 2) 2))))) (* (pow y 2) (pow (sqrt 2) 4)))) (* 1/240 (/ 1 (* (pow y 4) (pow (sqrt 2) 6)))))) (* (pow y 2) (pow (sqrt 2) 4)))) (* 1/120 (/ (+ (* 1/24 (/ (pow (sqrt 2) 2) (pow y 2))) (* 1/12 (/ 1 (* (pow y 2) (pow (sqrt 2) 2))))) (* (pow y 4) (pow (sqrt 2) 8)))))))) (+ (* -1/6 (/ (+ (* 1/24 (/ (pow (sqrt 2) 2) (pow y 2))) (* 1/12 (/ 1 (* (pow y 2) (pow (sqrt 2) 2))))) (* (pow y 2) (pow (sqrt 2) 4)))) (* 1/240 (/ 1 (* (pow y 4) (pow (sqrt 2) 6))))))))))) |
(* 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 (+ (log (* 2 y)) (* -1 (log x)))) |
(/ (pow x 2) y) |
(* -1/2 (/ x y)) |
(* x (- (* -1/24 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (- (* (pow x 2) (- (* -1/240 (/ (pow x 2) (pow y 5))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ x (* y (pow (sqrt 2) 2))) |
(* x (+ (* -1/6 (/ (pow x 2) (* (pow y 3) (pow (sqrt 2) 6)))) (/ 1 (* y (pow (sqrt 2) 2))))) |
(* x (+ (* (pow x 2) (- (* 1/120 (/ (pow x 2) (* (pow y 5) (pow (sqrt 2) 10)))) (* 1/6 (/ 1 (* (pow y 3) (pow (sqrt 2) 6)))))) (/ 1 (* y (pow (sqrt 2) 2))))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/5040 (/ (pow x 2) (* (pow y 7) (pow (sqrt 2) 14)))) (* 1/120 (/ 1 (* (pow y 5) (pow (sqrt 2) 10)))))) (* 1/6 (/ 1 (* (pow y 3) (pow (sqrt 2) 6)))))) (/ 1 (* y (pow (sqrt 2) 2))))) |
(+ (log (* 2 y)) (* -1 (log x))) |
(cos (* -1 (/ (* x (sqrt 1/2)) (* y (sqrt 2))))) |
(/ 1 (cos (* -1 (/ (* x (sqrt 1/2)) (* y (sqrt 2)))))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(cos (* -1/2 (/ x y))) |
(* -1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(* -1 (/ (sin (* -1/2 (/ x y))) (* (cos (* -1/2 (/ x y))) (sin (* 1/2 (/ x y)))))) |
(/ -1 (sin (* 1/2 (/ x y)))) |
(sin (* 1/2 (/ x y))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ x (* y (pow (sqrt 2) 2)))))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(* -1 (+ (log (* 2 y)) (log (/ 1 x)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ (sin (* -1/2 (/ x y))) (cos (* -1/2 (/ x y)))) |
(sin (/ x (* y (pow (sqrt 2) 2)))) |
(+ (log (* 2 y)) (log (/ 1 x))) |
(* -1 (+ (log (* -2 y)) (log (/ -1 x)))) |
(+ (log (* -2 y)) (log (/ -1 x))) |
(/ (+ (* -1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ -1/8 y) |
y |
(* -1 (+ (log y) (log (/ 2 x)))) |
(* -1 (* (sqrt (/ 1 y)) (/ 1 (sqrt 2)))) |
(+ (log y) (log (/ 2 x))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (pow (sqrt 2) 2)))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (* (pow y 4) (pow (sqrt 2) 4)))))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (pow (sqrt 2) 2)))) (+ (* -1/720 (/ (* (pow x 6) (pow (sqrt 1/2) 6)) (* (pow y 6) (pow (sqrt 2) 6)))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (* (pow y 4) (pow (sqrt 2) 4))))))) |
(- (+ 1 (* -1 (/ (+ (* -1/4 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (pow (sqrt 2) 4))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (pow (sqrt 2) 4)))) (pow y 4)))) (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (pow (sqrt 2) 2))))) |
(- (+ 1 (* -1 (/ (+ (* -1/720 (/ (* (pow x 6) (pow (sqrt 1/2) 6)) (pow (sqrt 2) 6))) (+ (* 1/48 (/ (* (pow x 6) (pow (sqrt 1/2) 6)) (pow (sqrt 2) 6))) (* 1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 2) (+ (* -1/4 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (pow (sqrt 2) 4))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (pow (sqrt 2) 4)))))) (pow (sqrt 2) 2))))) (pow y 6)))) (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (pow (sqrt 2) 2)))) (+ (* -1/4 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (* (pow y 4) (pow (sqrt 2) 4)))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (* (pow y 4) (pow (sqrt 2) 4))))))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
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(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
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(* y (- (* -1/12 (/ x (pow y 2))) (* 2 (/ 1 x)))) |
(* y (- (* -1 (/ (+ (* -1/960 (pow x 3)) (* 1/288 (pow x 3))) (pow y 4))) (+ (* 1/12 (/ x (pow y 2))) (* 2 (/ 1 x))))) |
(* y (- (* -1 (/ (+ (* -1/23040 (pow x 5)) (+ (* 1/161280 (pow x 5)) (* 1/24 (* (pow x 2) (+ (* -1/960 (pow x 3)) (* 1/288 (pow x 3))))))) (pow y 6))) (+ (* -1/960 (/ (pow x 3) (pow y 4))) (+ (* 1/288 (/ (pow x 3) (pow y 4))) (+ (* 1/12 (/ x (pow y 2))) (* 2 (/ 1 x))))))) |
(/ (+ (* -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) |
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(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
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(/ (- (+ (* -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) |
(/ (+ (* -1/6 (/ (pow x 3) (* (pow y 2) (pow (sqrt 2) 6)))) (/ x (pow (sqrt 2) 2))) y) |
(/ (+ (* -1/6 (/ (pow x 3) (* (pow y 2) (pow (sqrt 2) 6)))) (+ (* 1/120 (/ (pow x 5) (* (pow y 4) (pow (sqrt 2) 10)))) (/ x (pow (sqrt 2) 2)))) y) |
(/ (+ (* -1/6 (/ (pow x 3) (* (pow y 2) (pow (sqrt 2) 6)))) (+ (* -1/5040 (/ (pow x 7) (* (pow y 6) (pow (sqrt 2) 14)))) (+ (* 1/120 (/ (pow x 5) (* (pow y 4) (pow (sqrt 2) 10)))) (/ x (pow (sqrt 2) 2))))) y) |
(+ (log (/ 2 x)) (* -1 (log (/ 1 y)))) |
(/ (* x (sqrt 1/2)) (* y (* (sqrt -2) (sqrt -1)))) |
(+ 1 (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (* (pow (sqrt -2) 2) (pow (sqrt -1) 2)))))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (* (pow (sqrt -2) 2) (pow (sqrt -1) 2))))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (* (pow y 4) (* (pow (sqrt -2) 4) (pow (sqrt -1) 4))))))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (* (pow (sqrt -2) 2) (pow (sqrt -1) 2))))) (+ (* -1/720 (/ (* (pow x 6) (pow (sqrt 1/2) 6)) (* (pow y 6) (* (pow (sqrt -2) 6) (pow (sqrt -1) 6))))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (* (pow y 4) (* (pow (sqrt -2) 4) (pow (sqrt -1) 4)))))))) |
(+ 1 (* 1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (* (pow (sqrt -2) 2) (pow (sqrt -1) 2)))))) |
(- (+ 1 (* -1 (/ (+ (* -1/4 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (* (pow (sqrt -2) 4) (pow (sqrt -1) 4)))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 4)) (* (pow (sqrt -2) 4) (pow (sqrt -1) 4))))) (pow y 4)))) (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (* (pow (sqrt -2) 2) (pow (sqrt -1) 2)))))) |
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(+ 1 (* 1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (* (pow x 4) (pow (sqrt -1) 8))) (* 1/384 (* (pow x 4) (pow (sqrt -1) 8)))) (pow y 4)))) (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (* (pow x 6) (pow (sqrt -1) 12))) (+ (* 1/3072 (* (pow x 6) (pow (sqrt -1) 12))) (* 1/8 (* (pow x 2) (* (pow (sqrt -1) 4) (+ (* -1/64 (* (pow x 4) (pow (sqrt -1) 8))) (* 1/384 (* (pow x 4) (pow (sqrt -1) 8))))))))) (pow y 6)))) (+ (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))) (+ (* -1/64 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4))) (* 1/384 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4)))))) |
(+ 1 (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2)))) |
(+ 1 (+ (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))) (* 1/384 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4))))) |
(+ 1 (+ (* -1/8 (/ (* (pow x 2) (pow (sqrt -1) 4)) (pow y 2))) (+ (* -1/46080 (/ (* (pow x 6) (pow (sqrt -1) 12)) (pow y 6))) (* 1/384 (/ (* (pow x 4) (pow (sqrt -1) 8)) (pow y 4)))))) |
(+ 1 (* -1 (/ (- (* -2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* 1/24 (pow x 2))) (pow y 2)))) |
(+ 1 (+ (* -1 (/ (- (* -2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* 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)) (+ (* -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 4))))) |
(+ 1 (+ (* -1 (/ (- (* -2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* 1/24 (pow x 2))) (pow y 2))) (+ (* -1 (/ (- (* -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)) (+ (* -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)))))) (+ (* 1/322560 (pow x 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 (/ (- (* -2 (/ (- (* 1/3840 (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 4)))))) |
(* -1 (* y (+ (* 1/12 (/ x (pow y 2))) (* 2 (/ 1 x))))) |
(* -1 (* y (- (+ (* -1 (/ (+ (* -1/288 (pow x 3)) (* 1/960 (pow x 3))) (pow y 4))) (* 2 (/ 1 x))) (* -1/12 (/ x (pow y 2)))))) |
(* -1 (* y (- (+ (* -1 (/ (+ (* -1/161280 (pow x 5)) (+ (* 1/23040 (pow x 5)) (* 1/24 (* (pow x 2) (+ (* -1/288 (pow x 3)) (* 1/960 (pow x 3))))))) (pow y 6))) (* 2 (/ 1 x))) (+ (* -1/12 (/ x (pow y 2))) (+ (* -1/288 (/ (pow x 3) (pow y 4))) (* 1/960 (/ (pow x 3) (pow y 4)))))))) |
(* -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 (* y (pow (sqrt -1) 2))) |
(* -1/2 (* (pow (sqrt -1) 2) (pow (sqrt 2) 2))) |
(- (+ (* -1/2 (* (pow (sqrt -1) 2) (pow (sqrt 2) 2))) (/ (* (pow (sqrt -1) 2) (* (pow (sqrt 2) 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* x (pow y 2)))) (* 1/12 (/ (pow x 2) (* (pow y 2) (* (pow (sqrt -1) 2) (pow (sqrt 2) 2)))))) |
(- (+ (* -1/2 (* (pow (sqrt -1) 2) (pow (sqrt 2) 2))) (+ (/ (* (pow (sqrt -1) 2) (* (pow (sqrt 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))) (/ (* (pow (sqrt -1) 2) (* (pow (sqrt 2) 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* x (pow y 2))))) (+ (* -1/6 (/ (* (pow x 2) (- (/ (* (pow (sqrt -1) 2) (* (pow (sqrt 2) 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) x) (* 1/12 (/ (pow x 2) (* (pow (sqrt -1) 2) (pow (sqrt 2) 2)))))) (* (pow y 4) (* (pow (sqrt -1) 4) (pow (sqrt 2) 4))))) (+ (* -1/240 (/ (pow x 4) (* (pow y 4) (* (pow (sqrt -1) 6) (pow (sqrt 2) 6))))) (* 1/12 (/ (pow x 2) (* (pow y 2) (* (pow (sqrt -1) 2) (pow (sqrt 2) 2)))))))) |
(- (+ (* -1/2 (* (pow (sqrt -1) 2) (pow (sqrt 2) 2))) (+ (/ (* (pow (sqrt -1) 2) (* (pow (sqrt 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))) (+ (/ (* (pow (sqrt -1) 2) (* (pow (sqrt 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))) (/ (* (pow (sqrt -1) 2) (* (pow (sqrt 2) 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) (* x (pow y 2)))))) (+ (* -1/6 (/ (* (pow x 2) (- (/ (* (pow (sqrt -1) 2) (* (pow (sqrt 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) (+ (* -1/6 (/ (* (pow x 2) (- (/ (* (pow (sqrt -1) 2) (* (pow (sqrt 2) 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) x) (* 1/12 (/ (pow x 2) (* (pow (sqrt -1) 2) (pow (sqrt 2) 2)))))) (* (pow (sqrt -1) 4) (pow (sqrt 2) 4)))) (* -1/240 (/ (pow x 4) (* (pow (sqrt -1) 6) (pow (sqrt 2) 6))))))) (* (pow y 6) (* (pow (sqrt -1) 4) (pow (sqrt 2) 4))))) (+ (* -1/6 (/ (* (pow x 2) (- (/ (* (pow (sqrt -1) 2) (* (pow (sqrt 2) 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) x) (* 1/12 (/ (pow x 2) (* (pow (sqrt -1) 2) (pow (sqrt 2) 2)))))) (* (pow y 4) (* (pow (sqrt -1) 4) (pow (sqrt 2) 4))))) (+ (* -1/240 (/ (pow x 4) (* (pow y 4) (* (pow (sqrt -1) 6) (pow (sqrt 2) 6))))) (+ (* 1/10080 (/ (pow x 6) (* (pow y 6) (* (pow (sqrt -1) 10) (pow (sqrt 2) 10))))) (+ (* 1/120 (/ (* (pow x 4) (- (/ (* (pow (sqrt -1) 2) (* (pow (sqrt 2) 2) (- (* 1/48 (pow x 3)) (* 1/16 (pow x 3))))) x) (* 1/12 (/ (pow x 2) (* (pow (sqrt -1) 2) (pow (sqrt 2) 2)))))) (* (pow y 6) (* (pow (sqrt -1) 8) (pow (sqrt 2) 8))))) (* 1/12 (/ (pow x 2) (* (pow y 2) (* (pow (sqrt -1) 2) (pow (sqrt 2) 2))))))))))) |
(* -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 (+ (log (/ -2 x)) (* -1 (log (/ -1 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 (* (sqrt (/ 1 y)) (/ (sqrt -1) (sqrt -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 (/ x (* y (* (pow (sqrt -1) 2) (pow (sqrt 2) 2))))) |
(* -1 (/ (+ (* -1/6 (/ (pow x 3) (* (pow y 2) (* (pow (sqrt -1) 6) (pow (sqrt 2) 6))))) (/ x (* (pow (sqrt -1) 2) (pow (sqrt 2) 2)))) y)) |
(* -1 (/ (+ (* -1/6 (/ (pow x 3) (* (pow y 2) (* (pow (sqrt -1) 6) (pow (sqrt 2) 6))))) (+ (* 1/120 (/ (pow x 5) (* (pow y 4) (* (pow (sqrt -1) 10) (pow (sqrt 2) 10))))) (/ x (* (pow (sqrt -1) 2) (pow (sqrt 2) 2))))) y)) |
(* -1 (/ (+ (* -1/6 (/ (pow x 3) (* (pow y 2) (* (pow (sqrt -1) 6) (pow (sqrt 2) 6))))) (+ (* -1/5040 (/ (pow x 7) (* (pow y 6) (* (pow (sqrt -1) 14) (pow (sqrt 2) 14))))) (+ (* 1/120 (/ (pow x 5) (* (pow y 4) (* (pow (sqrt -1) 10) (pow (sqrt 2) 10))))) (/ x (* (pow (sqrt -1) 2) (pow (sqrt 2) 2)))))) y)) |
(+ (log (/ -2 x)) (* -1 (log (/ -1 y)))) |
| Outputs |
|---|
(* -1 (/ (* x (sqrt 1/2)) (* y (sqrt 2)))) |
(*.f64 (neg.f64 (/.f64 x y)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(* (* x (sqrt 1/2)) (sqrt (/ 1 y))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (pow (sqrt 2) 2))))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* -1/2 (/ (pow (sqrt 1/2) 2) (* (pow y 2) (pow (sqrt 2) 2)))) (* 1/24 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (* (pow y 4) (pow (sqrt 2) 4))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 y y)))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* -1/2 (/ (pow (sqrt 1/2) 2) (* (pow y 2) (pow (sqrt 2) 2)))) (* (pow x 2) (+ (* -1/720 (/ (* (pow x 2) (pow (sqrt 1/2) 6)) (* (pow y 6) (pow (sqrt 2) 6)))) (* 1/24 (/ (pow (sqrt 1/2) 4) (* (pow y 4) (pow (sqrt 2) 4))))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) #s(literal 1/4 binary64) (*.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/720 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 6 binary64)) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64))))) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (* (pow y 2) (pow (sqrt 2) 2))))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 x x) y)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ (pow (sqrt 1/2) 4) (* (pow y 4) (pow (sqrt 2) 4)))) (* 1/24 (/ (pow (sqrt 1/2) 4) (* (pow y 4) (pow (sqrt 2) 4))))))) (* -1/2 (/ (pow (sqrt 1/2) 2) (* (pow y 2) (pow (sqrt 2) 2))))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 5/24 binary64)) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 y y)))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 (/ (pow (sqrt 1/2) 6) (* (pow y 6) (pow (sqrt 2) 6)))) (+ (* 1/48 (/ (pow (sqrt 1/2) 6) (* (pow y 6) (pow (sqrt 2) 6)))) (* 1/2 (/ (* (pow (sqrt 1/2) 2) (+ (* -1/4 (/ (pow (sqrt 1/2) 4) (* (pow y 4) (pow (sqrt 2) 4)))) (* 1/24 (/ (pow (sqrt 1/2) 4) (* (pow y 4) (pow (sqrt 2) 4)))))) (* (pow y 2) (pow (sqrt 2) 2)))))))) (+ (* -1/4 (/ (pow (sqrt 1/2) 4) (* (pow y 4) (pow (sqrt 2) 4)))) (* 1/24 (/ (pow (sqrt 1/2) 4) (* (pow y 4) (pow (sqrt 2) 4))))))) (* -1/2 (/ (pow (sqrt 1/2) 2) (* (pow y 2) (pow (sqrt 2) 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (*.f64 x x)) (fma.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 6 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal 7/360 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y)) #s(literal -5/48 binary64))) #s(literal 1/2 binary64))) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 5/24 binary64))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 y y)))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/384 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -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 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(* -2 (/ y x)) |
(*.f64 (/.f64 y x) #s(literal -2 binary64)) |
(/ (+ (* -2 y) (* -1/12 (/ (pow x 2) y))) x) |
(/.f64 (fma.f64 (/.f64 (*.f64 x x) y) #s(literal -1/12 binary64) (*.f64 #s(literal -2 binary64) y)) x) |
(/ (+ (* -2 y) (* (pow x 2) (- (* -7/2880 (/ (pow x 2) (pow y 3))) (* 1/12 (/ 1 y))))) x) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) #s(literal -7/2880 binary64) (/.f64 #s(literal -1/12 binary64) y)) (*.f64 x x) (*.f64 #s(literal -2 binary64) y)) x) |
(/ (+ (* -2 y) (* (pow x 2) (- (* (pow x 2) (- (* -31/483840 (/ (pow x 2) (pow y 5))) (* 7/2880 (/ 1 (pow y 3))))) (* 1/12 (/ 1 y))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64))) #s(literal -31/483840 binary64) (/.f64 #s(literal -7/2880 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/12 binary64) y)) (*.f64 x x) (*.f64 #s(literal -2 binary64) y)) x) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)) x) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) #s(literal -1/645120 binary64) (/.f64 #s(literal 1/3840 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/48 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) y)) x) |
(* 1/2 (pow (sqrt 2) 2)) |
#s(literal 1 binary64) |
(+ (* 1/2 (pow (sqrt 2) 2)) (* (pow x 2) (+ (* 1/24 (/ (pow (sqrt 2) 2) (pow y 2))) (* 1/12 (/ 1 (* (pow y 2) (pow (sqrt 2) 2))))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/12 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ (* 1/2 (pow (sqrt 2) 2)) (* (pow x 2) (+ (* 1/24 (/ (pow (sqrt 2) 2) (pow y 2))) (+ (* 1/12 (/ 1 (* (pow y 2) (pow (sqrt 2) 2)))) (* (pow x 2) (- (* 1/240 (/ (pow (sqrt 2) 2) (pow y 4))) (+ (* -1/6 (/ (+ (* 1/24 (/ (pow (sqrt 2) 2) (pow y 2))) (* 1/12 (/ 1 (* (pow y 2) (pow (sqrt 2) 2))))) (* (pow y 2) (pow (sqrt 2) 4)))) (* 1/240 (/ 1 (* (pow y 4) (pow (sqrt 2) 6))))))))))) |
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(* -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))) (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 (/ (- (+ (* -1/2 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 #s(literal -1/8 binary64) (fma.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (fma.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))))) (pow.f64 y #s(literal 6 binary64))) (/.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)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1/768 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/384 binary64) (fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 6 binary64)))))))) (neg.f64 y)) |
(* -1 (+ (log (/ -2 x)) (* -1 (log (/ -1 y))))) |
(neg.f64 (-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 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 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/24 binary64) y) (/.f64 (*.f64 x x) 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)))))) |
(-.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal -1/24 binary64) (*.f64 y y)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (fma.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))))) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 x y) (/.f64 x y))) (/.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 x #s(literal 4 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) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 #s(literal -1/24 binary64) (*.f64 y y)) (/.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 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))))) (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/384 binary64) (*.f64 #s(literal 1/92160 binary64) (pow.f64 x #s(literal 7 binary64)))))) (*.f64 (pow.f64 y #s(literal 6 binary64)) x))) (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (fma.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))))) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/3840 binary64)) (fma.f64 #s(literal -1/768 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64))))) x) #s(literal -2 binary64) (neg.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal -1/24 binary64) (*.f64 #s(literal 1/1920 binary64) (pow.f64 x #s(literal 4 binary64)))))) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/24 binary64) (fma.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 x y) (/.f64 x y))) (fma.f64 #s(literal -1/322560 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/1920 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))))) |
(* -1 (* (sqrt (/ 1 y)) (/ (sqrt -1) (sqrt -2)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal -2 binary64)))) |
(* -1 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -1/16 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal 1/24 binary64) y))) (neg.f64 y)) |
(* -1 (/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) (+ (* -1/8 (/ (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))) (pow y 4))) (+ (* -1/16 (/ (pow x 3) (pow y 2))) (* 1/768 (/ (pow x 5) (pow y 4)))))) y)) |
(/.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 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64))))) (*.f64 x x)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y)) (fma.f64 #s(literal -1/92160 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1/384 binary64) (/.f64 (*.f64 #s(literal 1/768 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))))))) (neg.f64 y)) |
(* -1 (/ x (* y (* (pow (sqrt -1) 2) (pow (sqrt 2) 2))))) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(* -1 (/ (+ (* -1/6 (/ (pow x 3) (* (pow y 2) (* (pow (sqrt -1) 6) (pow (sqrt 2) 6))))) (/ x (* (pow (sqrt -1) 2) (pow (sqrt 2) 2)))) y)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64))) (*.f64 y y))) #s(literal -1/6 binary64) (/.f64 x #s(literal -2 binary64))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/6 (/ (pow x 3) (* (pow y 2) (* (pow (sqrt -1) 6) (pow (sqrt 2) 6))))) (+ (* 1/120 (/ (pow x 5) (* (pow y 4) (* (pow (sqrt -1) 10) (pow (sqrt 2) 10))))) (/ x (* (pow (sqrt -1) 2) (pow (sqrt 2) 2))))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 10 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 10 binary64))) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/120 binary64) (/.f64 x #s(literal -2 binary64)))) (neg.f64 y)) |
(* -1 (/ (+ (* -1/6 (/ (pow x 3) (* (pow y 2) (* (pow (sqrt -1) 6) (pow (sqrt 2) 6))))) (+ (* -1/5040 (/ (pow x 7) (* (pow y 6) (* (pow (sqrt -1) 14) (pow (sqrt 2) 14))))) (+ (* 1/120 (/ (pow x 5) (* (pow y 4) (* (pow (sqrt -1) 10) (pow (sqrt 2) 10))))) (/ x (* (pow (sqrt -1) 2) (pow (sqrt 2) 2)))))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (pow.f64 x #s(literal 7 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 14 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 14 binary64)))) (fma.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 y y)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 10 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 10 binary64))) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1/120 binary64) (/.f64 x #s(literal -2 binary64))))) (neg.f64 y)) |
(+ (log (/ -2 x)) (* -1 (log (/ -1 y)))) |
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) y))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 277 |
| 0 | 94 | 255 |
| 1 | 292 | 233 |
| 2 | 1519 | 191 |
| 0 | 8347 | 191 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))) |
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) |
(cos.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) |
#s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(/.f64 #s(literal -1/8 binary64) y) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 y) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) |
(/.f64 (*.f64 x x) y) |
(tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) x) |
(sin.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
(sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) |
(log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) |
| Outputs |
|---|
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(+.f64 (log.f64 (sqrt.f64 y)) (log.f64 (/.f64 (*.f64 (sqrt.f64 y) #s(literal 2 binary64)) x))) |
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 y x))) |
(+.f64 (log.f64 y) (log.f64 (/.f64 #s(literal 2 binary64) x))) |
(+.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (neg.f64 (log.f64 x))) |
(log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x)) |
Compiled 29 553 to 4 712 computations (84.1% saved)
141 alts after pruning (135 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 045 | 43 | 1 088 |
| Fresh | 19 | 92 | 111 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 067 | 141 | 1 208 |
| Status | Accuracy | Program |
|---|---|---|
| 46.5% | (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 48.1% | (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) #s(literal -1/2 binary64)) | |
| 48.2% | (pow.f64 (*.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal -1/2 binary64)) | |
| 26.9% | (/.f64 (/.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 20.7% | (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.4% | (/.f64 (/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) | |
| 23.5% | (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (sin.f64 (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1/2 binary64)))) | |
| 35.6% | (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) (sin.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64))))) | |
| 39.6% | (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) | |
| 36.5% | (/.f64 (*.f64 (pow.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.6% | (/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))))) | |
| 35.7% | (/.f64 (tan.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 21.8% | (/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.9% | (/.f64 (tan.f64 (/.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.4% | (/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 15.4% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 20.5% | (/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 23.8% | (/.f64 (tan.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 #s(literal -2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 21.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1/2 binary64)))) | |
| 23.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 #s(literal 4 binary64) (/.f64 y x))) #s(literal -1/2 binary64)))) | |
| 35.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1 binary64)))) | |
| 41.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) | |
| 20.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))) | |
| 23.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)))) | |
| 40.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)) #s(literal -4 binary64))))) | |
| ✓ | 40.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) |
| 41.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) #s(literal 2 binary64))))) | |
| 41.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 38.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) | |
| 40.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) | |
| ✓ | 42.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 37.8% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 39.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 41.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| 37.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (-.f64 (log.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) (log.f64 (sqrt.f64 #s(literal 2 binary64))))))) | |
| 37.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (-.f64 (log.f64 x) (log.f64 (*.f64 y #s(literal 2 binary64))))))) | |
| 37.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (log.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (log.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))) #s(literal -1 binary64))))) | |
| 27.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) x)) (-.f64 (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -1 binary64))))) | |
| 37.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x)))))) #s(literal -1 binary64))))) | |
| 37.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (log.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) | |
| 4.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) | |
| 37.3% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.3% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.2% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64)) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 38.4% | (/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.4% | (/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 (*.f64 (neg.f64 x) (pow.f64 #s(literal 16 binary64) #s(literal -1/8 binary64))) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 37.8% | (/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) x)) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.5% | (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.5% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.8% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| 22.3% | (/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 y y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.1% | (/.f64 (tan.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal -1/2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 18.3% | (/.f64 (tan.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.5% | (/.f64 (tan.f64 (*.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 4.8% | (/.f64 (tan.f64 (*.f64 #s(approx (pow y -1/2) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 35.8% | (/.f64 (tan.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.5% | (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) | |
| 41.8% | (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) | |
| 39.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) | |
| 50.0% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal 3 binary64))) (fma.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (-.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 (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)))))))) | |
| 26.5% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (neg.f64 (pow.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) | |
| 40.1% | (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))) | |
| 50.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (*.f64 (/.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))))) | |
| 41.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 y x) y) (*.f64 #s(literal -2 binary64) y)))) | |
| 49.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))) | |
| 49.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) | |
| 49.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x)))) | |
| 50.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) x)))) | |
| 37.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))) | |
| 49.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) y)) (sqrt.f64 #s(literal 2 binary64))))) | |
| 49.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (*.f64 (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))))) | |
| 49.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) | |
| 49.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))) | |
| 50.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))))) | |
| 50.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (neg.f64 (sqrt.f64 y)))))) | |
| 50.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))))) | |
| ✓ | 50.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
| 50.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 y)) x))) | |
| 50.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))))) | |
| 50.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 49.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 y) x)) (neg.f64 (sqrt.f64 y)))))) | |
| 49.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) y) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) | |
| 49.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) | |
| 49.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| 49.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))))) | |
| 49.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 x (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))))) | |
| 50.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| 49.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) | |
| 41.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y))))) | |
| 50.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))) | |
| 49.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) x) (/.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/8 binary64)) (neg.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) (sqrt.f64 y))))) | |
| 50.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 49.6% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x))) | |
| 37.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) | |
| 37.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 y x) (/.f64 (/.f64 #s(literal -1/2 binary64) y) y)))) | |
| 48.9% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))) | |
| 49.3% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y)))))) | |
| 49.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))))))) | |
| 49.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (*.f64 (exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))) | |
| 48.5% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 50.0% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(approx (/ (pow 2 -1/2) (/ (sqrt y) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 42.8% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y))))) | |
| 43.1% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y (*.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))))) | |
| 43.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) y)))))) | |
| ✓ | 50.2% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
| 49.7% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))))) | |
| 44.7% | (/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))) | |
| 38.0% | (/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y))) #s(literal 1 binary64)))) | |
| 21.2% | (/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) #s(approx (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) (*.f64 y y)) (*.f64 y y))))) | |
| 36.4% | (*.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) | |
| 40.1% | (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 (/.f64 x y))) (+.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 26.3% | (*.f64 (/.f64 (neg.f64 (neg.f64 (pow.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 26.9% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 36.2% | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x))))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| 35.2% | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 y #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| 38.7% | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| 38.7% | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| 38.8% | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| 39.2% | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| 39.8% | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| 39.8% | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| 39.2% | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (/.f64 x (neg.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| 38.8% | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) x) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64))))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| 35.7% | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (exp.f64 (log.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) | |
| 39.6% | (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) | |
| 39.8% | (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))))) | |
| 39.8% | (*.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 y)) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 38.9% | (*.f64 (neg.f64 (tan.f64 (/.f64 (/.f64 x (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 38.9% | (*.f64 (neg.f64 (tan.f64 (/.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) (sqrt.f64 y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 39.3% | (*.f64 (neg.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) x) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 39.6% | (*.f64 (neg.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 39.0% | (*.f64 (neg.f64 (tan.f64 (*.f64 (/.f64 x (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 38.4% | (*.f64 (neg.f64 (tan.f64 (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 39.3% | (*.f64 (neg.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -1/8 binary64))))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) | |
| 38.9% | (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))))))) | |
| 38.8% | (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))))) | |
| 38.9% | (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) y)))))) | |
| 38.4% | (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (/.f64 x y))))) | |
| 4.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) (/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) | |
| ✓ | 7.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64)) |
| ✓ | 48.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 7 139 to 3 123 computations (56.3% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) #s(approx (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) (*.f64 y y)) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y))) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y (*.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 y x) (/.f64 (/.f64 #s(literal -1/2 binary64) y) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 y x) y) (*.f64 #s(literal -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))))) |
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(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1/4 binary64)))))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal -1 binary64))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (-.f64 (log.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) (log.f64 (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64)))) |
(/.f64 (tan.f64 (*.f64 (exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (-.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 (neg.f64 x) y))) (+.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (/.f64 (neg.f64 x) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal 3 binary64))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) (sin.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64))))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x))) #s(literal -1/2 binary64)))) |
(/.f64 (tan.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -1/8 binary64))))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) x)) #s(literal -1 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (*.f64 (pow.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 y #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) x)) (-.f64 (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal -1 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (log.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (log.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))))) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) #s(literal 3 binary64))) (fma.f64 (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (-.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 (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)))))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (exp.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) (log.f64 x)))))) #s(literal -1 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
5 calls:
| 185.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 110.0ms | y |
| 93.0ms | (*.f64 y #s(literal 2 binary64)) |
| 92.0ms | x |
| 61.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.6% | 1 | x |
| 50.6% | 1 | y |
| 52.4% | 2 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 52.3% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 50.6% | 1 | (*.f64 y #s(literal 2 binary64)) |
Compiled 23 to 21 computations (8.7% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) #s(approx (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) (*.f64 y y)) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y))) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y (*.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 y x) (/.f64 (/.f64 #s(literal -1/2 binary64) y) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 y x) y) (*.f64 #s(literal -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))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) y)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 x (*.f64 y (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 x (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) y) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) y)) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (*.f64 (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(approx (/ (pow 2 -1/2) (/ (sqrt y) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (sqrt.f64 y)) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 y) x)) (neg.f64 (sqrt.f64 y)))))) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) #s(literal -1/2 binary64)) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2)) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 y y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 (tan.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64)) (*.f64 x y)))) |
(/.f64 (tan.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 #s(literal -2 binary64) y) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal -1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(/.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))))))) |
(/.f64 (tan.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 y y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (*.f64 (/.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))) |
(/.f64 (tan.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) y) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (sin (/ x (* y 2))) (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 #s(literal -1/48 binary64) y) (*.f64 #s(literal 1/2 binary64) x)) y))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) (neg.f64 x)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
2 calls:
| 26.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 22.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.3% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 52.3% | 2 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) #s(approx (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) (*.f64 y y)) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y))) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y (*.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 y x) (/.f64 (/.f64 #s(literal -1/2 binary64) y) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 y x) y) (*.f64 #s(literal -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))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) y)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 x (*.f64 y (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 x (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) y) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 x (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) y)) (sqrt.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
2 calls:
| 33.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 9.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.3% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 52.3% | 2 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) #s(approx (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) (*.f64 y y)) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y))) #s(literal 1 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y (/.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 y x) (*.f64 (*.f64 #s(literal -2 binary64) y) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y (*.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) y) y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 y x) (/.f64 (/.f64 #s(literal -1/2 binary64) y) y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (*.f64 y x) y) (*.f64 #s(literal -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))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) y)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 y)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 x (*.f64 y (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (*.f64 x (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 (sqrt.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 (neg.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
5 calls:
| 27.0ms | x |
| 11.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 9.0ms | (*.f64 y #s(literal 2 binary64)) |
| 9.0ms | y |
| 9.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.2% | 1 | x |
| 50.2% | 1 | y |
| 50.2% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 52.1% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 52.1% | 2 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
Compiled 23 to 21 computations (8.7% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) #s(approx (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) (*.f64 y y)) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 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)) |
2 calls:
| 3.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 3.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.8% | 2 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 51.9% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) #s(approx (+ (* (/ -1/8 y) (/ (* x x) y)) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) (*.f64 y y)) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* -1/2 (/ x y))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (cos (* (* x (* (pow y -1/2) 1/2)) (neg (pow y -1/2)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y))) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
5 calls:
| 3.0ms | (*.f64 y #s(literal 2 binary64)) |
| 3.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.1% | 2 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 48.4% | 1 | x |
| 48.4% | 1 | y |
| 48.4% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 48.4% | 1 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 23 to 21 computations (8.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
1 calls:
| 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 |
|---|---|---|
| 48.4% | 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× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 13.78154519434506 | 26.744633853915502 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 220.5356888636074 | 670.2562148043795 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 220.5356888636074 | 670.2562148043795 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.357467646400542e+277 | 9.928733370013256e+280 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.562936662683877e+178 | 6.823408649066233e+178 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.0000671339410288 | 1.0 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 290 |
| 1 | 90 | 290 |
| 2 | 110 | 288 |
| 3 | 141 | 288 |
| 4 | 186 | 288 |
| 5 | 255 | 288 |
| 6 | 348 | 288 |
| 7 | 452 | 288 |
| 8 | 563 | 288 |
| 9 | 650 | 288 |
| 10 | 695 | 288 |
| 11 | 719 | 288 |
| 12 | 720 | 288 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 20 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 400 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) (neg.f64 x)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 400 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) 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 49999999999999998175343433979589279157951137391496288266157242743110873150620102906337171435410246399918892469000602018887594876771980109395971573896894072660533262290309118329484316681379045013850167655746877489167183814937869568749188006828844715705934104413037475872242663424 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 49999999999999999022774886740757079728938194623363135957072991575057002693164136229634719617248991824711074298971975169209998501584220122192048645407522035152272390608472804163584 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 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 20 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 20 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 400 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))))) (neg.f64 x)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 400 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) x))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 400 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal 400 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) 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 49999999999999998175343433979589279157951137391496288266157242743110873150620102906337171435410246399918892469000602018887594876771980109395971573896894072660533262290309118329484316681379045013850167655746877489167183814937869568749188006828844715705934104413037475872242663424 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 49999999999999998175343433979589279157951137391496288266157242743110873150620102906337171435410246399918892469000602018887594876771980109395971573896894072660533262290309118329484316681379045013850167655746877489167183814937869568749188006828844715705934104413037475872242663424 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 49999999999999999022774886740757079728938194623363135957072991575057002693164136229634719617248991824711074298971975169209998501584220122192048645407522035152272390608472804163584 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 #s(literal 2 binary64) y)) #s(literal 49999999999999999022774886740757079728938194623363135957072991575057002693164136229634719617248991824711074298971975169209998501584220122192048645407522035152272390608472804163584 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 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (pow (* (/ (* 2 y) x) (/ (* 2 y) x)) -1/2))) #s(literal -1 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 243 |
| 0 | 77 | 218 |
| 1 | 223 | 158 |
| 2 | 1084 | 145 |
| 3 | 6679 | 144 |
| 0 | 8408 | 144 |
| 0 | 41 | 235 |
| 0 | 70 | 184 |
| 1 | 227 | 167 |
| 2 | 1320 | 118 |
| 0 | 8750 | 118 |
| 0 | 8 | 33 |
| 0 | 13 | 33 |
| 1 | 33 | 33 |
| 2 | 142 | 28 |
| 3 | 788 | 28 |
| 0 | 8171 | 28 |
| 0 | 724 | 4282 |
| 1 | 2198 | 3729 |
| 0 | 8525 | 3490 |
| 0 | 316 | 1577 |
| 1 | 950 | 1551 |
| 2 | 3389 | 1449 |
| 0 | 9127 | 1340 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 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 |
Compiled 482 to 212 computations (56% saved)
(abs x)
Compiled 960 to 368 computations (61.7% saved)
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