
Time bar (total: 7.5s)
| 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)
| 856.0ms | 3 960× | 1 | valid |
| 462.0ms | 4 296× | 0 | valid |
ival-tan: 260.0ms (27.2% of total)ival-div: 238.0ms (24.9% of total)ival-sin: 226.0ms (23.7% of total)ival-mult: 154.0ms (16.1% of total)adjust: 63.0ms (6.6% of total)ival-true: 6.0ms (0.6% of total)exact: 5.0ms (0.5% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 129 | 0 | - | 0 | - | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 129 | 0 | - | 0 | - | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 25 | 0 | - | 0 | - | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 2 binary64)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sin.f64 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | sensitivity | 94 | 0 |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | sensitivity | 94 | 0 |
sin.f64 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 35 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 35 | |
tan.f64 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | oflow-rescue | 35 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | overflow | 35 | |
/.f64 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | u/u | 25 | 0 |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 25 | |
| ↳ | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 25 | |
| ↳ | (/.f64 x (*.f64 y #s(literal 2 binary64))) | underflow | 25 | |
| ↳ | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | underflow | 25 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 154 | 0 |
| - | 0 | 102 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 154 | 0 | 0 |
| - | 0 | 0 | 102 |
| number | freq |
|---|---|
| 0 | 102 |
| 1 | 25 |
| 2 | 129 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 65.0ms | 252× | 1 | valid |
| 17.0ms | 260× | 0 | valid |
Compiled 125 to 36 computations (71.2% saved)
ival-div: 32.0ms (50.4% of total)ival-sin: 12.0ms (18.9% of total)ival-tan: 11.0ms (17.3% of total)ival-mult: 4.0ms (6.3% of total)adjust: 3.0ms (4.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 75 |
| 1 | 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 |
|---|---|---|
| ▶ | 44.7% | (/.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 | 0.0 | (*.f64 y #s(literal 2 binary64)) | |
| accuracy | 6.253975026270632 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 29.243867414240892 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 29.277178604142996 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| 23.0ms | 126× | 1 | valid |
| 8.0ms | 130× | 0 | valid |
Compiled 74 to 18 computations (75.7% saved)
ival-sin: 6.0ms (29.9% of total)ival-tan: 6.0ms (29.9% of total)ival-div: 5.0ms (24.9% of total)adjust: 2.0ms (10% of total)ival-mult: 2.0ms (10% 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 | |
|---|---|---|---|---|
| 9.0ms | y | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 4.0ms | y | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 2.0ms | x | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 2.0ms | x | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 2.0ms | y | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (tan (/ x (* y 2))) (/ x (* y 2)) (* y 2) (sin (/ x (* y 2)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 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)
52 alts after pruning (52 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 517 | 52 | 569 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 518 | 52 | 570 |
| Status | Accuracy | Program |
|---|---|---|
| 51.9% | (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 53.7% | (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)) | |
| 44.3% | (/.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))) | |
| 44.7% | (/.f64 (/.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 54.4% | (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.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 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 0 binary64)))) | |
| 44.3% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| 43.7% | (/.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))))) | |
| 26.7% | (/.f64 (tan.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 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.5% | (/.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))))) | |
| ▶ | 44.2% | (/.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))))) |
| 26.8% | (/.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))))) | |
| 20.3% | (/.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))))) | |
| 17.2% | (/.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))))) | |
| 26.3% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 26.3% | (/.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))))) | |
| 44.2% | (/.f64 (tan.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 x (*.f64 y #s(literal 2 binary64))))) | |
| 24.7% | (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 41.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (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)))) | |
| ▶ | 44.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
| 43.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| 27.1% | (/.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))))) | |
| 17.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y)))) | |
| 26.1% | (/.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)))) | |
| 44.5% | (/.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))))) | |
| 39.8% | (/.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))))))) | |
| 43.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 44.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y))))) | |
| ▶ | 43.9% | (/.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)))) |
| 40.0% | (/.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))))) | |
| 38.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))))) | |
| 33.9% | (/.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))) | |
| 40.1% | (/.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))))) | |
| 44.2% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 44.5% | (/.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))))) | |
| 43.9% | (/.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))))) | |
| 10.3% | (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 44.4% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.6% | (/.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))))) | |
| 44.7% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) | |
| 38.3% | (/.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))))) | |
| 44.4% | (/.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))))) | |
| 40.5% | (/.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))))) | |
| 54.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) | |
| 41.6% | (*.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))))) | |
| 44.2% | (*.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)))) | |
| 41.2% | (*.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))))) | |
| 29.4% | (*.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)))) | |
| 44.2% | (*.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)))) | |
| 51.9% | (exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64))) | |
| ▶ | 47.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
| 54.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| ▶ | 54.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 2 020 to 1 444 computations (28.5% 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 (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)))) | |
| cost-diff | 13184 | (*.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)) | |
| 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)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| cost-diff | 5760 | (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) | |
| cost-diff | 0 | (/.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))))) | |
| cost-diff | 1088 | (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) y) | |
| cost-diff | 0 | (/.f64 #s(literal 1/8 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 269 |
| 0 | 64 | 255 |
| 1 | 91 | 255 |
| 2 | 128 | 231 |
| 3 | 191 | 231 |
| 4 | 257 | 231 |
| 5 | 312 | 231 |
| 6 | 488 | 231 |
| 7 | 691 | 231 |
| 8 | 937 | 231 |
| 9 | 1009 | 231 |
| 10 | 1063 | 231 |
| 11 | 1165 | 231 |
| 12 | 1211 | 231 |
| 13 | 1265 | 231 |
| 14 | 1285 | 231 |
| 15 | 1303 | 231 |
| 16 | 1326 | 231 |
| 17 | 1345 | 231 |
| 18 | 1348 | 231 |
| 0 | 1348 | 231 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) y) |
#s(literal 1/8 binary64) |
y |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #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) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(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 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal -1 binary64) |
(/.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)))) |
(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 (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))) |
(*.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)) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) |
(*.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) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) y) |
#s(literal 1/8 binary64) |
y |
(/.f64 (*.f64 x x) y) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (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 -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) |
(tan.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(/.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(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)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #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 #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) |
(/.f64 #s(literal 1 binary64) (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))) |
#s(literal 1 binary64) |
(pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal -1 binary64) |
(/.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)))) |
(/.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 (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 #s(literal 1/2 binary64) (/.f64 x y))) |
(*.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)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x y)) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) |
(*.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) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.296875 | (*.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)) | |
| accuracy | 6.253975026270632 | (/.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)))) | |
| accuracy | 29.243867414240892 | (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))) | |
| accuracy | 29.277178604142996 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 0.26791000976844204 | (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| accuracy | 6.253975026270632 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) | |
| accuracy | 29.243867414240892 | (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) | |
| accuracy | 29.277178604142996 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 0.29134750976844204 | (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 6.253975026270632 | (/.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))))) | |
| accuracy | 29.243867414240892 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 29.277178604142996 | (tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.5521001580984318 | (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) | |
| accuracy | 6.118074882271461 | (/.f64 (*.f64 x x) y) | |
| accuracy | 31.508481826580283 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) | |
| accuracy | 28.97731806437833 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| 160.0ms | 126× | 1 | valid |
| 46.0ms | 130× | 0 | valid |
Compiled 528 to 74 computations (86% saved)
ival-div: 62.0ms (36.8% of total)ival-pow: 37.0ms (21.9% of total)ival-sin: 28.0ms (16.6% of total)ival-mult: 15.0ms (8.9% of total)ival-tan: 15.0ms (8.9% of total)adjust: 7.0ms (4.2% of total)ival-add: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 (/.f64 #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))))) |
(tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal -1/2 binary64) y) |
(pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) 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 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(*.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)) |
(/.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)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 x x) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(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))) |
| Outputs |
|---|
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ (pow x 2) y) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (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)))) |
(* 2 (/ y x)) |
(/ (+ (* 1/12 (/ (pow x 2) y)) (* 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) |
(* 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) |
(/ 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)))) |
(pow x 2) |
(* 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)))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ 1 (sin (* 1/2 (/ x y)))) |
(sin (* 1/2 (/ x y))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ (* x (pow (sqrt 1/2) 2)) y)))) |
(sin (/ (* x (pow (sqrt 1/2) 2)) y)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ 1/8 y) |
(/ -1/2 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) |
(* y (+ (* 1/12 (/ x (pow y 2))) (* 2 (/ 1 x)))) |
(* y (- (+ (* -1 (/ (+ (* -1/288 (pow x 3)) (* 1/960 (pow x 3))) (pow y 4))) (* 2 (/ 1 x))) (* -1/12 (/ x (pow y 2))))) |
(* 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))))))) |
(/ (+ (* -1/48 (/ (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) |
(- (+ (* -1/48 (/ (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))))))))))))))) |
(/ (+ (* -1/6 (/ (* (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 (/ (- (+ (* -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 (- (* -1/12 (/ x (pow y 2))) (* 2 (/ 1 x))))) |
(* -1 (* y (- (* -1 (/ (+ (* -1/960 (pow x 3)) (* 1/288 (pow x 3))) (pow y 4))) (+ (* 1/12 (/ x (pow y 2))) (* 2 (/ 1 x)))))) |
(* -1 (* 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 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(/ -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 (/ (+ (* -1/6 (/ (* (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 | |
|---|---|---|---|---|
| 88.0ms | y | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (/ (/ -1/2 y) (/ -1 x)) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (pow (sin (/ x (* 2 y))) -1) (/ 1 (pow (sin (/ x (* 2 y))) -1)) (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (tan (/ x (* y 2))) (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)) (/ (tan (/ x (* y 2))) (sin (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)))) (/ x (* y 2)) (* x x) (sin (/ x (* y 2))) (sin (/ x (* 2 y))) (sin (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)))) |
| 37.0ms | x | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (/ (/ -1/2 y) (/ -1 x)) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (pow (sin (/ x (* 2 y))) -1) (/ 1 (pow (sin (/ x (* 2 y))) -1)) (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (tan (/ x (* y 2))) (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)) (/ (tan (/ x (* y 2))) (sin (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)))) (/ x (* y 2)) (* x x) (sin (/ x (* y 2))) (sin (/ x (* 2 y))) (sin (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)))) |
| 7.0ms | y | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (/ (/ -1/2 y) (/ -1 x)) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (pow (sin (/ x (* 2 y))) -1) (/ 1 (pow (sin (/ x (* 2 y))) -1)) (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (tan (/ x (* y 2))) (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)) (/ (tan (/ x (* y 2))) (sin (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)))) (/ x (* y 2)) (* x x) (sin (/ x (* y 2))) (sin (/ x (* 2 y))) (sin (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)))) |
| 7.0ms | x | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (/ (/ -1/2 y) (/ -1 x)) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (pow (sin (/ x (* 2 y))) -1) (/ 1 (pow (sin (/ x (* 2 y))) -1)) (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (tan (/ x (* y 2))) (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)) (/ (tan (/ x (* y 2))) (sin (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)))) (/ x (* y 2)) (* x x) (sin (/ x (* y 2))) (sin (/ x (* 2 y))) (sin (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)))) |
| 4.0ms | y | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/ 1/8 y) (/ (* x x) y) (/ (/ -1/2 y) (/ -1 x)) (/ (tan (/ (/ -1/2 y) (/ -1 x))) (sin (/ x (* y 2)))) (tan (/ (/ -1/2 y) (/ -1 x))) (/ -1/2 y) (pow (sin (/ x (* 2 y))) -1) (/ 1 (pow (sin (/ x (* 2 y))) -1)) (/ (tan (/ x (* y 2))) (/ 1 (pow (sin (/ x (* 2 y))) -1))) (tan (/ x (* y 2))) (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)) (/ (tan (/ x (* y 2))) (sin (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)))) (/ x (* y 2)) (* x x) (sin (/ x (* y 2))) (sin (/ x (* 2 y))) (sin (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 721 | 3889 |
| 1 | 2163 | 3330 |
| 0 | 8451 | 3115 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(/ (pow x 2) y) |
(* 1/2 (/ x y)) |
(* x (+ (* 1/24 (/ (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)))) |
(* 2 (/ y x)) |
(/ (+ (* 1/12 (/ (pow x 2) y)) (* 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) |
(* 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) |
(/ 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)))) |
(pow x 2) |
(* 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)))) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ 1 (sin (* 1/2 (/ x y)))) |
(sin (* 1/2 (/ x y))) |
(/ (sin (* 1/2 (/ x y))) (* (cos (* 1/2 (/ x y))) (sin (/ (* x (pow (sqrt 1/2) 2)) y)))) |
(sin (/ (* x (pow (sqrt 1/2) 2)) y)) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(/ 1/8 y) |
(/ -1/2 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) |
(* y (+ (* 1/12 (/ x (pow y 2))) (* 2 (/ 1 x)))) |
(* y (- (+ (* -1 (/ (+ (* -1/288 (pow x 3)) (* 1/960 (pow x 3))) (pow y 4))) (* 2 (/ 1 x))) (* -1/12 (/ x (pow y 2))))) |
(* 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))))))) |
(/ (+ (* -1/48 (/ (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) |
(- (+ (* -1/48 (/ (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))))))))))))))) |
(/ (+ (* -1/6 (/ (* (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 (/ (- (+ (* -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 (- (* -1/12 (/ x (pow y 2))) (* 2 (/ 1 x))))) |
(* -1 (* y (- (* -1 (/ (+ (* -1/960 (pow x 3)) (* 1/288 (pow x 3))) (pow y 4))) (+ (* 1/12 (/ x (pow y 2))) (* 2 (/ 1 x)))))) |
(* -1 (* 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 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (+ (* 1/645120 (/ (pow x 7) (pow y 6))) (* 1/48 (/ (pow x 3) (pow y 2)))))) y)) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(/ -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 (/ (+ (* -1/6 (/ (* (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) (*.f64 y y)) (*.f64 x x) #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)) |
(/ (pow x 2) y) |
(/.f64 (*.f64 x x) y) |
(* 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)))) |
(*.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)))) |
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(- (+ (* -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)))))))))))))))) |
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(* -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 -1/6 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 (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)) |
(* -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 | 38 | 199 |
| 0 | 64 | 177 |
| 1 | 210 | 161 |
| 2 | 1027 | 136 |
| 0 | 8431 | 136 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/8 binary64) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 (/.f64 #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))))) |
(tan.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal -1/2 binary64) y) |
(pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) 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 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(*.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)) |
(/.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)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 x x) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(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))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64))))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 x #s(literal 8 binary64))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 x #s(literal 8 binary64))) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) y)) y)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) y)) y))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 x #s(literal 8 binary64))) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) y)) y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 x #s(literal 8 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) y)) y)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) y)) y)) (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64))))))) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) y)) y)))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) y)) y))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) y)) y)))))) |
(*.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 y (*.f64 x x)) #s(literal -2 binary64))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 y y))))) |
(*.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) y)) y))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 x #s(literal 8 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 x x) y) y) #s(literal 2 binary64)) #s(literal 1 binary64))) |
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(/.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 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))) |
(neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(neg.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(exp.f64 (log.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (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)))) |
(pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (sqrt.f64 (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 -1/2 binary64)))) |
(/.f64 (sqrt.f64 (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 -1/2 binary64)))) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 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))) |
(neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(neg.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(exp.f64 (log.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (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)))) |
(pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (sqrt.f64 (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 -1/2 binary64)))) |
(/.f64 (sqrt.f64 (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 -1/2 binary64)))) |
(/.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 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))) |
(neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(neg.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(exp.f64 (log.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
Compiled 16 533 to 2 197 computations (86.7% saved)
69 alts after pruning (66 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 499 | 30 | 529 |
| Fresh | 11 | 36 | 47 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 512 | 69 | 581 |
| Status | Accuracy | Program |
|---|---|---|
| 51.9% | (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 53.7% | (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)) | |
| 44.3% | (/.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))) | |
| 44.7% | (/.f64 (/.f64 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 44.2% | (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (cos.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)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 54.4% | (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.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 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 0 binary64)))) | |
| 44.3% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| 43.7% | (/.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))))) | |
| 26.7% | (/.f64 (tan.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 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.5% | (/.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))))) | |
| 44.2% | (/.f64 (tan.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ✓ | 44.2% | (/.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))))) |
| 26.8% | (/.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))))) | |
| 20.3% | (/.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))))) | |
| 44.4% | (/.f64 (tan.f64 (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.2% | (/.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))))) | |
| 26.3% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 26.3% | (/.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))))) | |
| ▶ | 24.7% | (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 28.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) | |
| 41.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal -2 binary64))) | |
| 41.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) | |
| 41.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/4 binary64)))) | |
| 41.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| 44.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) | |
| 41.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))))) | |
| 38.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64))))) | |
| 37.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin (/ x (* 2 y))) -1) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 x x) y) (*.f64 #s(literal 2 binary64) y)) x)))) | |
| 40.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin (/ x (* 2 y))) -1) (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) x)) y)))) | |
| 40.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin (/ x (* 2 y))) -1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 43.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| 27.1% | (/.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))))) | |
| 17.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y)))) | |
| 26.1% | (/.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)))) | |
| ▶ | 44.5% | (/.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))))) |
| 39.8% | (/.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))))))) | |
| 43.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 44.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y))))) | |
| ✓ | 43.9% | (/.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)))) |
| 40.0% | (/.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))))) | |
| 38.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (log.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) | |
| 34.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (/ 1 (pow (sin (/ x (* 2 y))) -1)) (*.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))) | |
| ▶ | 40.1% | (/.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))))) |
| 44.2% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 44.5% | (/.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))))) | |
| 43.9% | (/.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))))) | |
| 43.8% | (/.f64 (tan.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.5% | (/.f64 (tan.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.5% | (/.f64 (tan.f64 (*.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 10.3% | (/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 44.4% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 44.0% | (/.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))))) | |
| 43.7% | (/.f64 (tan.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.6% | (/.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))))) | |
| 44.7% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) | |
| 44.4% | (/.f64 #s(approx (tan (/ (/ -1/2 y) (/ -1 x))) (/.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))))) | |
| 40.5% | (/.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))))) | |
| 54.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) | |
| 41.2% | (*.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))))) | |
| 44.2% | (*.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)))) | |
| 44.2% | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (neg.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) | |
| 51.9% | (exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) | |
| 47.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 x #s(literal 8 binary64))) (/.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 x #s(literal 8 binary64))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64))))) | |
| 48.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) | |
| ▶ | 54.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
| 25.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) | |
| ▶ | 2.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
| ✓ | 54.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| 44.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)))) (/.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (*.f64 (sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))))) |
Compiled 2 923 to 2 062 computations (29.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))))) | |
| cost-diff | 0 | (/.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))))) | |
| cost-diff | 512 | (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))) | |
| cost-diff | 12800 | (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 128 | (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) | |
| cost-diff | 1344 | (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)) | |
| cost-diff | 6144 | (pow.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))) | |
| cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) | |
| cost-diff | 0 | #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) | |
| cost-diff | 0 | (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 363 |
| 0 | 84 | 304 |
| 1 | 129 | 303 |
| 2 | 260 | 301 |
| 3 | 763 | 301 |
| 4 | 2947 | 301 |
| 5 | 5452 | 301 |
| 6 | 7676 | 301 |
| 0 | 8187 | 299 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) |
(*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
#s(literal 1/8 binary64) |
(*.f64 y y) |
y |
x |
(/.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))))) |
(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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)))) |
(/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y))) |
x |
(/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)) |
(neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#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)) |
(/.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))))) |
(tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))))) |
(/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))))) |
x |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))) |
(*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)) |
(log.f64 (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
#s(literal -1 binary64) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
x |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 (/.f64 x y) y) x) #s(literal 1/8 binary64)))) |
#s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)) |
#s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 (/.f64 x y) y) x) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) |
(*.f64 (*.f64 (/.f64 (/.f64 x y) y) x) #s(literal 1/8 binary64)) |
(*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) |
(*.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) y) y) x) |
(/.f64 #s(literal 1/8 binary64) (*.f64 y y)) |
(/.f64 (/.f64 #s(literal 1/8 binary64) y) y) |
#s(literal 1/8 binary64) |
(*.f64 y y) |
y |
x |
(/.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 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
x |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
(sin.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)))) |
(tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
x |
(/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
(neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) |
(*.f64 #s(literal -4 binary64) (*.f64 y y)) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) |
(*.f64 #s(literal 4 binary64) (*.f64 y y)) |
(*.f64 #s(literal 2 binary64) y) |
#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)))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
(/.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))))) |
(/.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) (sin.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) |
(tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))))) |
(tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
x |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))) |
(*.f64 #s(literal 2 binary64) y) |
(neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))) |
(log.f64 (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)) |
(log.f64 (/.f64 #s(literal 1/2 binary64) y)) |
(log.f64 (*.f64 #s(literal 2 binary64) y)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
#s(literal -1 binary64) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.0053706110667635 | (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))) | |
| accuracy | 6.253975026270632 | (/.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))))) | |
| accuracy | 29.243867414240892 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 29.277178604142996 | (tan.f64 (/.f64 x (exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))))) | |
| accuracy | 6.253975026270632 | (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 29.243867414240892 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 29.277178604142996 | (tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)))) | |
| accuracy | 31.48360633247371 | (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)) | |
| accuracy | 0.171875 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)) | |
| accuracy | 6.253975026270632 | (/.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))))) | |
| accuracy | 29.243867414240892 | (sin.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) | |
| accuracy | 29.277178604142996 | (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 3.861221782383582 | (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) | |
| accuracy | 5.596647610746415 | (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) | |
| accuracy | 30.42511434562446 | #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)) | |
| accuracy | 31.508481826580283 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) | |
| accuracy | 0.0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) | |
| accuracy | 0.140625 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) | |
| accuracy | 0.19921875 | (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) | |
| accuracy | 29.04579909442772 | (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
| 119.0ms | 126× | 1 | valid |
| 44.0ms | 130× | 0 | valid |
Compiled 687 to 102 computations (85.2% saved)
ival-div: 31.0ms (25.5% of total)ival-mult: 20.0ms (16.5% of total)ival-tan: 19.0ms (15.6% of total)ival-sin: 12.0ms (9.9% of total)ival-exp: 10.0ms (8.2% of total)ival-log: 9.0ms (7.4% of total)adjust: 7.0ms (5.8% of total)ival-cos: 5.0ms (4.1% of total)ival-neg: 3.0ms (2.5% of total)ival-add: 2.0ms (1.6% of total)ival-pow2: 2.0ms (1.6% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) |
(*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) 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 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)) |
(neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))) |
(/.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))))) |
(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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) |
(tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
1 |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* 1/2 (/ x y)) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ x (pow y 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)))) |
(* 2 (/ y (exp (neg (* -1 (log (* 2 y))))))) |
(+ (* 2 (/ y (exp (neg (* -1 (log (* 2 y))))))) (* (pow x 2) (+ (* 2/3 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (* 1/12 (/ 1 (* y (exp (neg (* -1 (log (* 2 y))))))))))) |
(+ (* 2 (/ y (exp (neg (* -1 (log (* 2 y))))))) (* (pow x 2) (+ (* 1/12 (/ 1 (* y (exp (neg (* -1 (log (* 2 y)))))))) (+ (* 2/3 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (* (pow x 2) (- (* 4/15 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 5))) (+ (* -1/24 (/ (+ (* 2/3 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (* 1/12 (/ 1 (* y (exp (neg (* -1 (log (* 2 y))))))))) (pow y 2))) (* 1/960 (/ 1 (* (pow y 3) (exp (neg (* -1 (log (* 2 y))))))))))))))) |
(+ (* 2 (/ y (exp (neg (* -1 (log (* 2 y))))))) (* (pow x 2) (+ (* 1/12 (/ 1 (* y (exp (neg (* -1 (log (* 2 y)))))))) (+ (* 2/3 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (* (pow x 2) (- (+ (* 4/15 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 5))) (* (pow x 2) (- (+ (* 1/161280 (/ 1 (* (pow y 5) (exp (neg (* -1 (log (* 2 y)))))))) (* 34/315 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 7)))) (+ (* -1/24 (/ (- (* 4/15 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 5))) (+ (* -1/24 (/ (+ (* 2/3 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (* 1/12 (/ 1 (* y (exp (neg (* -1 (log (* 2 y))))))))) (pow y 2))) (* 1/960 (/ 1 (* (pow y 3) (exp (neg (* -1 (log (* 2 y)))))))))) (pow y 2))) (* 1/1920 (/ (+ (* 2/3 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (* 1/12 (/ 1 (* y (exp (neg (* -1 (log (* 2 y))))))))) (pow y 4))))))) (+ (* -1/24 (/ (+ (* 2/3 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (* 1/12 (/ 1 (* y (exp (neg (* -1 (log (* 2 y))))))))) (pow y 2))) (* 1/960 (/ 1 (* (pow y 3) (exp (neg (* -1 (log (* 2 y))))))))))))))) |
(/ x (exp (neg (* -1 (log (* 2 y)))))) |
(* x (+ (* 1/3 (/ (pow x 2) (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (/ 1 (exp (neg (* -1 (log (* 2 y)))))))) |
(* x (+ (* (pow x 2) (+ (* 2/15 (/ (pow x 2) (pow (exp (neg (* -1 (log (* 2 y))))) 5))) (* 1/3 (/ 1 (pow (exp (neg (* -1 (log (* 2 y))))) 3))))) (/ 1 (exp (neg (* -1 (log (* 2 y)))))))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/315 (/ (pow x 2) (pow (exp (neg (* -1 (log (* 2 y))))) 7))) (* 2/15 (/ 1 (pow (exp (neg (* -1 (log (* 2 y))))) 5))))) (* 1/3 (/ 1 (pow (exp (neg (* -1 (log (* 2 y))))) 3))))) (/ 1 (exp (neg (* -1 (log (* 2 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)))) |
(cos (* 1/2 (/ x y))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (/ x (exp (neg (* -1 (log (* 2 y))))))) (* (cos (/ x (exp (neg (* -1 (log (* 2 y))))))) (sin (* 1/2 (/ x y))))) |
(/ (sin (/ x (exp (neg (* -1 (log (* 2 y))))))) (cos (/ x (exp (neg (* -1 (log (* 2 y)))))))) |
(sin (* 1/2 (/ x y))) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(* 2 y) |
(* 4 (pow y 2)) |
(* -4 (pow y 2)) |
(exp (neg (* -1 (+ (log 2) (log y))))) |
(+ (log 2) (log y)) |
(/ (sin (/ x (exp (neg (* -1 (+ (log 2) (log y))))))) (* (cos (/ x (exp (neg (* -1 (+ (log 2) (log y))))))) (sin (* 1/2 (/ x y))))) |
(/ (sin (/ x (exp (neg (* -1 (+ (log 2) (log y))))))) (cos (/ x (exp (neg (* -1 (+ (log 2) (log y)))))))) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -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) |
(exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y))))))) |
(+ (log 2) (* -1 (log (/ 1 y)))) |
(* 2 (/ (* y (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (* x (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))))) |
(* y (+ (* 1/12 (/ (* x (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (* (pow y 2) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))))) (* 2 (/ (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y))))))))) (* x (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))))))) |
(* y (- (+ (* -1 (/ (+ (* -1/288 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y))))))))))) (* 1/960 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))))) (pow y 4))) (* 2 (/ (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y))))))))) (* x (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y))))))))))))) (* -1/12 (/ (* x (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (* (pow y 2) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))))))) |
(* y (- (+ (* -1 (/ (+ (* -1/161280 (/ (* (pow x 5) (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y))))))))))) (+ (* 1/23040 (/ (* (pow x 5) (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y))))))))))) (* 1/24 (* (pow x 2) (+ (* -1/288 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y))))))))))) (* 1/960 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))))))))) (pow y 6))) (* 2 (/ (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y))))))))) (* x (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y))))))))))))) (+ (* -1/12 (/ (* x (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (* (pow y 2) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))))) (+ (* -1/288 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (* (pow y 4) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))))) (* 1/960 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (* (pow y 4) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))))))))) |
(/ (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y))))))))) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 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)) |
(exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))) |
(+ (log -2) (* -1 (log (/ -1 y)))) |
(* 2 (/ (* y (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (* x (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) |
(* -1 (* y (+ (* -2 (/ (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))) (* x (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (* -1/12 (/ (* x (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (* (pow y 2) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))))))))) |
(* -1 (* y (- (+ (* -2 (/ (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))) (* x (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (* -1 (/ (+ (* -1/960 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))))) (* 1/288 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (pow y 4)))) (* 1/12 (/ (* x (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (* (pow y 2) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))))))))) |
(* -1 (* y (- (+ (* -2 (/ (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))) (* x (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (* -1 (/ (+ (* -1/23040 (/ (* (pow x 5) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))))) (+ (* 1/161280 (/ (* (pow x 5) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))))) (* 1/24 (* (pow x 2) (+ (* -1/960 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))))) (* 1/288 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))))))) (pow y 6)))) (+ (* -1/960 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (* (pow y 4) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (+ (* 1/288 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (* (pow y 4) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (* 1/12 (/ (* x (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (* (pow y 2) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))))))))))) |
(/ (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 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 | |
|---|---|---|---|---|
| 40.0ms | y | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (* (* (/ 1/8 (* y y)) x) x) (* (/ 1/8 (* y y)) x) (/ 1 (/ 1/2 y)) (/ (tan (/ x (* y 2))) (sin (/ x (/ 1 (/ 1/2 y))))) (tan (/ x (* y 2))) (/ x (* y 2)) (pow (* 2 y) 2) (/ (neg (pow (* 2 y) 2)) (* -2 y)) (neg (pow (* 2 y) 2)) (/ (tan (/ x (/ (neg (pow (* 2 y) 2)) (* -2 y)))) (sin (/ x (* y 2)))) (exp (neg (* (log (* 2 y)) -1))) (neg (* (log (* 2 y)) -1)) (/ (tan (/ x (exp (neg (* (log (* 2 y)) -1))))) (sin (/ x (* y 2)))) (tan (/ x (exp (neg (* (log (* 2 y)) -1))))) (sin (/ x (/ 1 (/ 1/2 y)))) (tan (/ x (/ (neg (pow (* 2 y) 2)) (* -2 y)))) (sin (/ x (* y 2)))) |
| 26.0ms | y | @ | inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (* (* (/ 1/8 (* y y)) x) x) (* (/ 1/8 (* y y)) x) (/ 1 (/ 1/2 y)) (/ (tan (/ x (* y 2))) (sin (/ x (/ 1 (/ 1/2 y))))) (tan (/ x (* y 2))) (/ x (* y 2)) (pow (* 2 y) 2) (/ (neg (pow (* 2 y) 2)) (* -2 y)) (neg (pow (* 2 y) 2)) (/ (tan (/ x (/ (neg (pow (* 2 y) 2)) (* -2 y)))) (sin (/ x (* y 2)))) (exp (neg (* (log (* 2 y)) -1))) (neg (* (log (* 2 y)) -1)) (/ (tan (/ x (exp (neg (* (log (* 2 y)) -1))))) (sin (/ x (* y 2)))) (tan (/ x (exp (neg (* (log (* 2 y)) -1))))) (sin (/ x (/ 1 (/ 1/2 y)))) (tan (/ x (/ (neg (pow (* 2 y) 2)) (* -2 y)))) (sin (/ x (* y 2)))) |
| 19.0ms | y | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (* (* (/ 1/8 (* y y)) x) x) (* (/ 1/8 (* y y)) x) (/ 1 (/ 1/2 y)) (/ (tan (/ x (* y 2))) (sin (/ x (/ 1 (/ 1/2 y))))) (tan (/ x (* y 2))) (/ x (* y 2)) (pow (* 2 y) 2) (/ (neg (pow (* 2 y) 2)) (* -2 y)) (neg (pow (* 2 y) 2)) (/ (tan (/ x (/ (neg (pow (* 2 y) 2)) (* -2 y)))) (sin (/ x (* y 2)))) (exp (neg (* (log (* 2 y)) -1))) (neg (* (log (* 2 y)) -1)) (/ (tan (/ x (exp (neg (* (log (* 2 y)) -1))))) (sin (/ x (* y 2)))) (tan (/ x (exp (neg (* (log (* 2 y)) -1))))) (sin (/ x (/ 1 (/ 1/2 y)))) (tan (/ x (/ (neg (pow (* 2 y) 2)) (* -2 y)))) (sin (/ x (* y 2)))) |
| 10.0ms | x | @ | -inf | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (* (* (/ 1/8 (* y y)) x) x) (* (/ 1/8 (* y y)) x) (/ 1 (/ 1/2 y)) (/ (tan (/ x (* y 2))) (sin (/ x (/ 1 (/ 1/2 y))))) (tan (/ x (* y 2))) (/ x (* y 2)) (pow (* 2 y) 2) (/ (neg (pow (* 2 y) 2)) (* -2 y)) (neg (pow (* 2 y) 2)) (/ (tan (/ x (/ (neg (pow (* 2 y) 2)) (* -2 y)))) (sin (/ x (* y 2)))) (exp (neg (* (log (* 2 y)) -1))) (neg (* (log (* 2 y)) -1)) (/ (tan (/ x (exp (neg (* (log (* 2 y)) -1))))) (sin (/ x (* y 2)))) (tan (/ x (exp (neg (* (log (* 2 y)) -1))))) (sin (/ x (/ 1 (/ 1/2 y)))) (tan (/ x (/ (neg (pow (* 2 y) 2)) (* -2 y)))) (sin (/ x (* y 2)))) |
| 8.0ms | x | @ | 0 | ((/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (/ 1/2 y) x))) (cos (* (/ 1/2 y) x)) (* (/ 1/2 y) x) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (* (* (/ 1/8 (* y y)) x) x) (* (/ 1/8 (* y y)) x) (/ 1 (/ 1/2 y)) (/ (tan (/ x (* y 2))) (sin (/ x (/ 1 (/ 1/2 y))))) (tan (/ x (* y 2))) (/ x (* y 2)) (pow (* 2 y) 2) (/ (neg (pow (* 2 y) 2)) (* -2 y)) (neg (pow (* 2 y) 2)) (/ (tan (/ x (/ (neg (pow (* 2 y) 2)) (* -2 y)))) (sin (/ x (* y 2)))) (exp (neg (* (log (* 2 y)) -1))) (neg (* (log (* 2 y)) -1)) (/ (tan (/ x (exp (neg (* (log (* 2 y)) -1))))) (sin (/ x (* y 2)))) (tan (/ x (exp (neg (* (log (* 2 y)) -1))))) (sin (/ x (/ 1 (/ 1/2 y)))) (tan (/ x (/ (neg (pow (* 2 y) 2)) (* -2 y)))) (sin (/ x (* y 2)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 587 | 3473 |
| 1 | 1759 | 3062 |
| 2 | 6354 | 2948 |
| 0 | 8109 | 2795 |
| 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)) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* 1/8 (/ x (pow y 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)))) |
(* 2 (/ y (exp (neg (* -1 (log (* 2 y))))))) |
(+ (* 2 (/ y (exp (neg (* -1 (log (* 2 y))))))) (* (pow x 2) (+ (* 2/3 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (* 1/12 (/ 1 (* y (exp (neg (* -1 (log (* 2 y))))))))))) |
(+ (* 2 (/ y (exp (neg (* -1 (log (* 2 y))))))) (* (pow x 2) (+ (* 1/12 (/ 1 (* y (exp (neg (* -1 (log (* 2 y)))))))) (+ (* 2/3 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (* (pow x 2) (- (* 4/15 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 5))) (+ (* -1/24 (/ (+ (* 2/3 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (* 1/12 (/ 1 (* y (exp (neg (* -1 (log (* 2 y))))))))) (pow y 2))) (* 1/960 (/ 1 (* (pow y 3) (exp (neg (* -1 (log (* 2 y))))))))))))))) |
(+ (* 2 (/ y (exp (neg (* -1 (log (* 2 y))))))) (* (pow x 2) (+ (* 1/12 (/ 1 (* y (exp (neg (* -1 (log (* 2 y)))))))) (+ (* 2/3 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (* (pow x 2) (- (+ (* 4/15 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 5))) (* (pow x 2) (- (+ (* 1/161280 (/ 1 (* (pow y 5) (exp (neg (* -1 (log (* 2 y)))))))) (* 34/315 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 7)))) (+ (* -1/24 (/ (- (* 4/15 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 5))) (+ (* -1/24 (/ (+ (* 2/3 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (* 1/12 (/ 1 (* y (exp (neg (* -1 (log (* 2 y))))))))) (pow y 2))) (* 1/960 (/ 1 (* (pow y 3) (exp (neg (* -1 (log (* 2 y)))))))))) (pow y 2))) (* 1/1920 (/ (+ (* 2/3 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (* 1/12 (/ 1 (* y (exp (neg (* -1 (log (* 2 y))))))))) (pow y 4))))))) (+ (* -1/24 (/ (+ (* 2/3 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (* 1/12 (/ 1 (* y (exp (neg (* -1 (log (* 2 y))))))))) (pow y 2))) (* 1/960 (/ 1 (* (pow y 3) (exp (neg (* -1 (log (* 2 y))))))))))))))) |
(/ x (exp (neg (* -1 (log (* 2 y)))))) |
(* x (+ (* 1/3 (/ (pow x 2) (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (/ 1 (exp (neg (* -1 (log (* 2 y)))))))) |
(* x (+ (* (pow x 2) (+ (* 2/15 (/ (pow x 2) (pow (exp (neg (* -1 (log (* 2 y))))) 5))) (* 1/3 (/ 1 (pow (exp (neg (* -1 (log (* 2 y))))) 3))))) (/ 1 (exp (neg (* -1 (log (* 2 y)))))))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/315 (/ (pow x 2) (pow (exp (neg (* -1 (log (* 2 y))))) 7))) (* 2/15 (/ 1 (pow (exp (neg (* -1 (log (* 2 y))))) 5))))) (* 1/3 (/ 1 (pow (exp (neg (* -1 (log (* 2 y))))) 3))))) (/ 1 (exp (neg (* -1 (log (* 2 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)))) |
(cos (* 1/2 (/ x y))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ (sin (/ x (exp (neg (* -1 (log (* 2 y))))))) (* (cos (/ x (exp (neg (* -1 (log (* 2 y))))))) (sin (* 1/2 (/ x y))))) |
(/ (sin (/ x (exp (neg (* -1 (log (* 2 y))))))) (cos (/ x (exp (neg (* -1 (log (* 2 y)))))))) |
(sin (* 1/2 (/ x y))) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(* 2 y) |
(* 4 (pow y 2)) |
(* -4 (pow y 2)) |
(exp (neg (* -1 (+ (log 2) (log y))))) |
(+ (log 2) (log y)) |
(/ (sin (/ x (exp (neg (* -1 (+ (log 2) (log y))))))) (* (cos (/ x (exp (neg (* -1 (+ (log 2) (log y))))))) (sin (* 1/2 (/ x y))))) |
(/ (sin (/ x (exp (neg (* -1 (+ (log 2) (log y))))))) (cos (/ x (exp (neg (* -1 (+ (log 2) (log y)))))))) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4)))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (* 1/1920 (/ (pow x 4) (pow y 4)))))) |
(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(- (+ 1 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))) (pow y 4)))) (* -1/8 (/ (pow x 2) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/46080 (pow x 6)) (+ (* 1/3072 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/384 (pow x 4))))))) (pow y 6)))) (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/64 (/ (pow x 4) (pow y 4))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (* 1/384 (/ (pow x 4) (pow y 4))))) |
(+ 1 (+ (* -1/8 (/ (pow x 2) (pow y 2))) (+ (* -1/46080 (/ (pow x 6) (pow y 6))) (* 1/384 (/ (pow x 4) (pow y 4)))))) |
(/ (- (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) (* -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) |
(exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y))))))) |
(+ (log 2) (* -1 (log (/ 1 y)))) |
(* 2 (/ (* y (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (* x (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))))) |
(* y (+ (* 1/12 (/ (* x (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (* (pow y 2) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))))) (* 2 (/ (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y))))))))) (* x (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))))))) |
(* y (- (+ (* -1 (/ (+ (* -1/288 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y))))))))))) (* 1/960 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))))) (pow y 4))) (* 2 (/ (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y))))))))) (* x (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y))))))))))))) (* -1/12 (/ (* x (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (* (pow y 2) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))))))) |
(* y (- (+ (* -1 (/ (+ (* -1/161280 (/ (* (pow x 5) (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y))))))))))) (+ (* 1/23040 (/ (* (pow x 5) (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y))))))))))) (* 1/24 (* (pow x 2) (+ (* -1/288 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y))))))))))) (* 1/960 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))))))))) (pow y 6))) (* 2 (/ (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y))))))))) (* x (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y))))))))))))) (+ (* -1/12 (/ (* x (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (* (pow y 2) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))))) (+ (* -1/288 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (* (pow y 4) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))))) (* 1/960 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))) (* (pow y 4) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y)))))))))))))))) |
(/ (sin (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 y))))))))) (cos (/ x (exp (neg (* -1 (+ (log 2) (* -1 (log (/ 1 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)) |
(exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))) |
(+ (log -2) (* -1 (log (/ -1 y)))) |
(* 2 (/ (* y (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (* x (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) |
(* -1 (* y (+ (* -2 (/ (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))) (* x (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (* -1/12 (/ (* x (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (* (pow y 2) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))))))))) |
(* -1 (* y (- (+ (* -2 (/ (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))) (* x (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (* -1 (/ (+ (* -1/960 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))))) (* 1/288 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (pow y 4)))) (* 1/12 (/ (* x (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (* (pow y 2) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))))))))) |
(* -1 (* y (- (+ (* -2 (/ (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))) (* x (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (* -1 (/ (+ (* -1/23040 (/ (* (pow x 5) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))))) (+ (* 1/161280 (/ (* (pow x 5) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))))) (* 1/24 (* (pow x 2) (+ (* -1/960 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))))) (* 1/288 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))))))) (pow y 6)))) (+ (* -1/960 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (* (pow y 4) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (+ (* 1/288 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (* (pow y 4) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (* 1/12 (/ (* x (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (* (pow y 2) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))))))))))) |
(/ (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 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) (*.f64 y y)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64))) x) x (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 x (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal -1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/2 (/ x y)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) y) (/.f64 x y)) |
(* 1/8 (/ x (pow y 2))) |
(*.f64 (/.f64 (/.f64 x y) y) #s(literal 1/8 binary64)) |
(* 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)) |
(* 2 (/ y (exp (neg (* -1 (log (* 2 y))))))) |
(*.f64 (/.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) |
(+ (* 2 (/ y (exp (neg (* -1 (log (* 2 y))))))) (* (pow x 2) (+ (* 2/3 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (* 1/12 (/ 1 (* y (exp (neg (* -1 (log (* 2 y))))))))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 y (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) #s(literal 2/3 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) y))) x) x (*.f64 (/.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) |
(+ (* 2 (/ y (exp (neg (* -1 (log (* 2 y))))))) (* (pow x 2) (+ (* 1/12 (/ 1 (* y (exp (neg (* -1 (log (* 2 y)))))))) (+ (* 2/3 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (* (pow x 2) (- (* 4/15 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 5))) (+ (* -1/24 (/ (+ (* 2/3 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (* 1/12 (/ 1 (* y (exp (neg (* -1 (log (* 2 y))))))))) (pow y 2))) (* 1/960 (/ 1 (* (pow y 3) (exp (neg (* -1 (log (* 2 y))))))))))))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 y (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 5 binary64))) #s(literal 4/15 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) #s(literal 2/3 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) y))) y) (/.f64 #s(literal -1/24 binary64) y) (/.f64 (/.f64 #s(literal 1/960 binary64) (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 x x) (fma.f64 (/.f64 y (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) #s(literal 2/3 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) y)))) (*.f64 x x) (*.f64 (/.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) |
(+ (* 2 (/ y (exp (neg (* -1 (log (* 2 y))))))) (* (pow x 2) (+ (* 1/12 (/ 1 (* y (exp (neg (* -1 (log (* 2 y)))))))) (+ (* 2/3 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (* (pow x 2) (- (+ (* 4/15 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 5))) (* (pow x 2) (- (+ (* 1/161280 (/ 1 (* (pow y 5) (exp (neg (* -1 (log (* 2 y)))))))) (* 34/315 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 7)))) (+ (* -1/24 (/ (- (* 4/15 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 5))) (+ (* -1/24 (/ (+ (* 2/3 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (* 1/12 (/ 1 (* y (exp (neg (* -1 (log (* 2 y))))))))) (pow y 2))) (* 1/960 (/ 1 (* (pow y 3) (exp (neg (* -1 (log (* 2 y)))))))))) (pow y 2))) (* 1/1920 (/ (+ (* 2/3 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (* 1/12 (/ 1 (* y (exp (neg (* -1 (log (* 2 y))))))))) (pow y 4))))))) (+ (* -1/24 (/ (+ (* 2/3 (/ y (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (* 1/12 (/ 1 (* y (exp (neg (* -1 (log (* 2 y))))))))) (pow y 2))) (* 1/960 (/ 1 (* (pow y 3) (exp (neg (* -1 (log (* 2 y))))))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 y (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 7 binary64))) #s(literal 34/315 binary64) (/.f64 (/.f64 #s(literal 1/161280 binary64) (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) #s(literal 2/3 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) y))) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 y (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 5 binary64))) #s(literal 4/15 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) #s(literal 2/3 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) y))) y) (/.f64 #s(literal -1/24 binary64) y) (/.f64 (/.f64 #s(literal 1/960 binary64) (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 y y)) #s(literal -1/24 binary64)))) (*.f64 x x) (-.f64 (*.f64 (/.f64 y (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 5 binary64))) #s(literal 4/15 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) #s(literal 2/3 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) y))) y) (/.f64 #s(literal -1/24 binary64) y) (/.f64 (/.f64 #s(literal 1/960 binary64) (*.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 x x) (fma.f64 (/.f64 y (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) #s(literal 2/3 binary64) (/.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) y)))) (*.f64 x x) (*.f64 (/.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) |
(/ x (exp (neg (* -1 (log (* 2 y)))))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(* x (+ (* 1/3 (/ (pow x 2) (pow (exp (neg (* -1 (log (* 2 y))))) 3))) (/ 1 (exp (neg (* -1 (log (* 2 y)))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) x) x (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))) x) |
(* x (+ (* (pow x 2) (+ (* 2/15 (/ (pow x 2) (pow (exp (neg (* -1 (log (* 2 y))))) 5))) (* 1/3 (/ 1 (pow (exp (neg (* -1 (log (* 2 y))))) 3))))) (/ 1 (exp (neg (* -1 (log (* 2 y)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 2/15 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 5 binary64))) x) x (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) x)) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/315 (/ (pow x 2) (pow (exp (neg (* -1 (log (* 2 y))))) 7))) (* 2/15 (/ 1 (pow (exp (neg (* -1 (log (* 2 y))))) 5))))) (* 1/3 (/ 1 (pow (exp (neg (* -1 (log (* 2 y))))) 3))))) (/ 1 (exp (neg (* -1 (log (* 2 y)))))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 7 binary64)))) #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 5 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) x)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
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(* -1 (* y (- (+ (* -2 (/ (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))) (* x (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (* -1 (/ (+ (* -1/960 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))))) (* 1/288 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (pow y 4)))) (* 1/12 (/ (* x (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (* (pow y 2) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))))))))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 (/.f64 x (exp.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))))) (*.f64 (cos.f64 (/.f64 x (exp.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) y)) (/.f64 x y) (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) (cos.f64 (/.f64 x (exp.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))))) (/.f64 (sin.f64 (/.f64 x (exp.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) x)) (*.f64 (/.f64 (*.f64 (sin.f64 (/.f64 x (exp.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (pow.f64 x #s(literal 3 binary64))) (cos.f64 (/.f64 x (exp.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))))) (/.f64 #s(literal 7/2880 binary64) (pow.f64 y #s(literal 4 binary64))))))) |
(* -1 (* y (- (+ (* -2 (/ (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))) (* x (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (* -1 (/ (+ (* -1/23040 (/ (* (pow x 5) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))))) (+ (* 1/161280 (/ (* (pow x 5) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))))) (* 1/24 (* (pow x 2) (+ (* -1/960 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))))) (* 1/288 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))))))) (pow y 6)))) (+ (* -1/960 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (* (pow y 4) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (+ (* 1/288 (/ (* (pow x 3) (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (* (pow y 4) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))))) (* 1/12 (/ (* x (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) (* (pow y 2) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))))))))))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 #s(literal -2 binary64) (cos.f64 (/.f64 x (exp.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))))) (/.f64 (sin.f64 (/.f64 x (exp.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) x) (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 (*.f64 (sin.f64 (/.f64 x (exp.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (pow.f64 x #s(literal 3 binary64))) (cos.f64 (/.f64 x (exp.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))) #s(literal 7/2880 binary64) (*.f64 (/.f64 (*.f64 (sin.f64 (/.f64 x (exp.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (pow.f64 x #s(literal 5 binary64))) (cos.f64 (/.f64 x (exp.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))))) #s(literal -1/26880 binary64))) (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (/.f64 (sin.f64 (/.f64 x (exp.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 (/.f64 x (exp.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))))) #s(literal 7/2880 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 (/.f64 x (exp.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))))) (cos.f64 (/.f64 x (exp.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y))))))) (/.f64 (/.f64 x y) y)))))) |
(/ (sin (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y))))))))) (cos (/ x (exp (neg (* -1 (+ (log -2) (* -1 (log (/ -1 y)))))))))) |
(/.f64 (sin.f64 (/.f64 x (exp.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (cos.f64 (/.f64 x (exp.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 256 |
| 0 | 84 | 198 |
| 1 | 263 | 195 |
| 2 | 1320 | 185 |
| 0 | 8644 | 183 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x))) |
(cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x) |
(*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) 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 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))) |
(tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)) |
(neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))) |
(/.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))))) |
(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 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y)))) |
(tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) y)))) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (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)))) (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.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))))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 (tan.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))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64)) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) |
(*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))) |
(*.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (*.f64 (/.f64 x 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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) (sin.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) (/.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (pow.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (neg.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(/.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) (neg.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal -2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) |
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(+.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))) |
(+.f64 (log.f64 (neg.f64 y)) (log.f64 #s(literal -2 binary64))) |
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (neg.f64 y))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) y)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) y))) |
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 2 binary64) y))) |
(+.f64 (log.f64 y) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 y)) |
(+.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 0 binary64)) |
(log.f64 (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (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)))) (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (tan.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))))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1/2 binary64)) (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 (tan.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))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64)) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) |
(*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))) |
(*.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64)) |
(/.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) (sin.f64 (*.f64 (/.f64 x 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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) (sin.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) (/.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64))) |
(*.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(pow.f64 (pow.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (tan.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) |
(neg.f64 (neg.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) (neg.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 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 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) |
(neg.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1/2 binary64))) (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(*.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) #s(literal -1 binary64))) |
(*.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(pow.f64 (pow.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (tan.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) |
(neg.f64 (neg.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))))) (neg.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 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 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (sin.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) |
(neg.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
(sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
Compiled 20 338 to 3 584 computations (82.4% saved)
88 alts after pruning (82 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 652 | 41 | 693 |
| Fresh | 20 | 41 | 61 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 674 | 88 | 762 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.9% | (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
| 44.3% | (/.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))) | |
| 44.8% | (/.f64 (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) (sin.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))) | |
| 54.4% | (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.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 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 0 binary64)))) | |
| 44.3% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| 43.7% | (/.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))))) | |
| 44.2% | (/.f64 (tan.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ✓ | 44.2% | (/.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))))) |
| 26.8% | (/.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))))) | |
| 20.3% | (/.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))))) | |
| 44.4% | (/.f64 (tan.f64 (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.2% | (/.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))))) | |
| 26.3% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 26.3% | (/.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))))) | |
| 24.3% | (/.f64 (tan.f64 (/.f64 x (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 24.6% | (/.f64 (tan.f64 (/.f64 x (/.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 24.0% | (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.4% | (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) y)))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.5% | (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.2% | (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64)))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.6% | (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y))) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 28.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) | |
| 41.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/4 binary64)))) | |
| 44.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) | |
| 41.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))))) | |
| 38.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64))))) | |
| 37.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin (/ x (* 2 y))) -1) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 x x) y) (*.f64 #s(literal 2 binary64) y)) x)))) | |
| 40.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin (/ x (* 2 y))) -1) (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) x)) y)))) | |
| 40.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin (/ x (* 2 y))) -1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 43.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| 17.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y)))) | |
| 26.1% | (/.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)))) | |
| 39.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 40.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) y)))))) | |
| ✓ | 44.5% | (/.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))))) |
| 39.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 y))))))) | |
| 24.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (/.f64 #s(literal 4 binary64) y) (neg.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))))) | |
| 44.1% | (/.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)))))) | |
| 40.0% | (/.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))))))) | |
| 24.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y y) y))))) | |
| 39.8% | (/.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)))))) | |
| 43.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 44.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y))))) | |
| ✓ | 43.9% | (/.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)))) |
| 40.0% | (/.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))))) | |
| 38.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (log.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) | |
| 40.1% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.0% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.4% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (*.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 #s(literal 2 binary64)))))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.3% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.1% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ▶ | 44.2% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 44.5% | (/.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))))) | |
| ▶ | 43.9% | (/.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))))) |
| 43.5% | (/.f64 (tan.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 44.4% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.7% | (/.f64 (tan.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.6% | (/.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))))) | |
| 44.7% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) | |
| 44.3% | (/.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) (sin.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))) | |
| 40.5% | (/.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))))) | |
| 40.7% | (/.f64 #s(approx (tan (/ x (exp (neg (* (log (* 2 y)) -1))))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 54.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) | |
| 44.2% | (*.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)))) | |
| 44.2% | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (neg.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) | |
| 51.9% | (exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) | |
| ▶ | 48.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) |
| 53.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (*.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) #s(literal -1/2 binary64))) | |
| 44.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) | |
| 44.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))))) | |
| 54.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal -1 binary64)))))) | |
| 50.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) x))))) | |
| 49.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y)))))))) | |
| 54.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) | |
| ▶ | 54.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)))))) |
| 50.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))))) | |
| ✓ | 54.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
| 41.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 y x))))) | |
| 49.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal -2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 48.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal -2 binary64)))) y) #s(literal 2 binary64))))) | |
| 48.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (/.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y y)))) y)))) | |
| 50.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 y (*.f64 #s(literal -4 binary64) (*.f64 y y))))))) | |
| 41.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| 54.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))))) | |
| 51.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))))) | |
| 3.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (*.f64 x x) y) (*.f64 y #s(literal 8 binary64))))) | |
| ✓ | 2.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
| ✓ | 54.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 3 763 to 2 706 computations (28.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (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))) | |
| cost-diff | 0 | (/.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))))) | |
| cost-diff | 13184 | (*.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)) | |
| 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 | (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) | |
| cost-diff | 6464 | (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) | |
| cost-diff | 0 | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| cost-diff | 384 | (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) | |
| cost-diff | 0 | (/.f64 x (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/8 binary64) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64))))) | |
| cost-diff | 0 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)))))) | |
| cost-diff | 14272 | (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 312 |
| 0 | 70 | 264 |
| 1 | 97 | 262 |
| 2 | 132 | 246 |
| 3 | 174 | 246 |
| 4 | 201 | 246 |
| 5 | 215 | 246 |
| 6 | 360 | 246 |
| 7 | 488 | 246 |
| 8 | 495 | 246 |
| 9 | 499 | 246 |
| 10 | 509 | 246 |
| 11 | 521 | 246 |
| 0 | 521 | 246 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64))))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) y) x) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
x |
#s(literal -1/2 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
x |
(/.f64 x (*.f64 y y)) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
y |
x |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 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(literal 2 binary64) |
(/.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))))) |
(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))) |
(*.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)) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#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) |
x |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(*.f64 y #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
#s(literal 1 binary64) |
(cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)))) |
(cos.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) y) x) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
x |
#s(literal -1/2 binary64) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 x (*.f64 y y)) (*.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (*.f64 y y)) (*.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/8 binary64) x) |
#s(literal 1/8 binary64) |
x |
(/.f64 x (*.f64 y y)) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.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 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
y |
x |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #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 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) |
(*.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(literal 2 binary64) |
(/.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))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) |
(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))) |
(tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(*.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)) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
#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) |
x |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
(sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) |
(/.f64 x (*.f64 y #s(literal 2 binary64))) |
(/.f64 x (*.f64 #s(literal 2 binary64) y)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.21875 | (*.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)) | |
| accuracy | 6.144600026270632 | (/.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))))) | |
| accuracy | 13.51223527950377 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 13.580189843120532 | (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))) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) | |
| accuracy | 0.0234375 | (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) | |
| accuracy | 0.125 | (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 13.655048876186896 | (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) | |
| accuracy | 0.15072250976844204 | (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) | |
| accuracy | 6.144600026270632 | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| accuracy | 13.51223527950377 | (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) | |
| accuracy | 13.580189843120532 | (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/8 binary64) x) | |
| accuracy | 0.2587734704461067 | (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) | |
| accuracy | 4.204386063794988 | (/.f64 x (*.f64 y y)) | |
| accuracy | 14.642236379254852 | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) | |
| accuracy | 0.0703125 | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64))))) | |
| accuracy | 0.31382753907376815 | (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64))) | |
| accuracy | 9.480337931327902 | (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) | |
| accuracy | 13.655048876186896 | (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)))) |
| 135.0ms | 59× | 1 | valid |
| 60.0ms | 64× | 1 | invalid |
| 50.0ms | 129× | 0 | valid |
| 2.0ms | 4× | 0 | invalid |
Compiled 597 to 81 computations (86.4% saved)
ival-pow: 41.0ms (24.1% of total)ival-mult: 34.0ms (20% of total)ival-sin: 32.0ms (18.8% of total)ival-div: 22.0ms (12.9% of total)ival-tan: 16.0ms (9.4% of total)ival-cos: 11.0ms (6.5% of total)adjust: 7.0ms (4.1% of total)ival-pow2: 4.0ms (2.4% of total)ival-add: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64))))) |
(cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/8 binary64) x) |
(/.f64 x (*.f64 y y)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(/.f64 y x) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(*.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)) |
(/.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))))) |
(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))) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
(/ (* x (pow (sqrt 1/2) 2)) y) |
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 (* 1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ (pow (sqrt 1/2) 8) (pow y 4))) (* 1/24 (/ (pow (sqrt 1/2) 8) (pow y 4)))))) (* -1/2 (/ (pow (sqrt 1/2) 4) (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 (/ (pow (sqrt 1/2) 12) (pow y 6))) (+ (* 1/48 (/ (pow (sqrt 1/2) 12) (pow y 6))) (* 1/2 (/ (* (pow (sqrt 1/2) 4) (+ (* -1/4 (/ (pow (sqrt 1/2) 8) (pow y 4))) (* 1/24 (/ (pow (sqrt 1/2) 8) (pow y 4))))) (pow y 2))))))) (+ (* -1/4 (/ (pow (sqrt 1/2) 8) (pow y 4))) (* 1/24 (/ (pow (sqrt 1/2) 8) (pow y 4)))))) (* -1/2 (/ (pow (sqrt 1/2) 4) (pow y 2)))))) |
(+ 1 (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* -1/2 (/ (pow (sqrt 1/2) 4) (pow y 2))) (* 1/24 (/ (* (pow x 2) (pow (sqrt 1/2) 8)) (pow y 4)))))) |
(+ 1 (* (pow x 2) (+ (* -1/2 (/ (pow (sqrt 1/2) 4) (pow y 2))) (* (pow x 2) (+ (* -1/720 (/ (* (pow x 2) (pow (sqrt 1/2) 12)) (pow y 6))) (* 1/24 (/ (pow (sqrt 1/2) 8) (pow y 4)))))))) |
(* 1/8 x) |
(/ x (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)))) |
(/ y x) |
(+ 1 (* 1/16 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 7/1536 (/ (pow x 2) (pow y 4))) (* 1/16 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 139/368640 (/ (pow x 2) (pow y 6))) (* 7/1536 (/ 1 (pow y 4))))) (* 1/16 (/ 1 (pow y 2)))))) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* -1/2 (/ x y)) |
(* 2 (pow (sqrt 1/2) 2)) |
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))))) |
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))))) |
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (+ (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* (pow x 2) (- (* 2 (* y (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))) (pow y 2))) (+ (* -1/161280 (/ (pow (sqrt 1/2) 2) (pow y 6))) (* 1/1920 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))))) |
(* x (+ (* (pow x 2) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (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))) (* (pow x 2) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (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))) (* (pow x 2) (- (+ (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (* (pow x 2) (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y))) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(cos (/ (* x (pow (sqrt 1/2) 2)) y)) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(sqrt (/ 1 (cos (* -1/2 (/ x y))))) |
(cos (* -1/2 (/ x y))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y))))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(sin (* 1/2 (/ x y))) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(/ 1 (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y)))) |
(cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) |
(* -1 (* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2)))) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(* (sqrt (/ 1 y)) (sqrt 1/2)) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
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(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(- (+ 1 (* -1 (/ (+ (* -1/4 (* (pow x 4) (pow (sqrt 1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt 1/2) 8)))) (pow y 4)))) (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/720 (* (pow x 6) (pow (sqrt 1/2) 12))) (+ (* 1/48 (* (pow x 6) (pow (sqrt 1/2) 12))) (* 1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (+ (* -1/4 (* (pow x 4) (pow (sqrt 1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt 1/2) 8))))))))) (pow y 6)))) (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))) (+ (* -1/4 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (pow y 4))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (pow y 4)))))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (pow y 4))))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 6) (pow (sqrt 1/2) 12)) (pow y 6))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (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 (* -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 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (* (pow x 2) (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))))) (+ (* -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))) (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2)))))) |
(+ 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 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (* 2 (pow (sqrt 1/2) 2))) (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2)))) |
(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (+ (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) (* x (pow y 4)))) (* 2 (pow (sqrt 1/2) 2)))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 4))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4)))))) |
(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt 1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt 1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))))))) (* x (pow y 6)))) (+ (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) (* x (pow y 4)))) (* 2 (pow (sqrt 1/2) 2))))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2)))))) (* 1/960 (* (pow x 4) (pow (sqrt 1/2) 2)))))) (pow y 6))) (+ (* -1/161280 (/ (* (pow x 6) (pow (sqrt 1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 6))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4))))))))) |
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* x (pow (sqrt 1/2) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 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)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4)))))) 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))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))))) (pow y 6))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 6))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))))))))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(- (+ 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 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/4 (* (pow x 4) (pow (sqrt -1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt -1/2) 8)))) (pow y 4)))) (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/720 (* (pow x 6) (pow (sqrt -1/2) 12))) (+ (* 1/48 (* (pow x 6) (pow (sqrt -1/2) 12))) (* 1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (+ (* -1/4 (* (pow x 4) (pow (sqrt -1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt -1/2) 8))))))))) (pow y 6)))) (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))) (+ (* -1/4 (/ (* (pow x 4) (pow (sqrt -1/2) 8)) (pow y 4))) (* 1/24 (/ (* (pow x 4) (pow (sqrt -1/2) 8)) (pow y 4)))))) |
(+ 1 (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2)))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))) (* 1/24 (/ (* (pow x 4) (pow (sqrt -1/2) 8)) (pow y 4))))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 6) (pow (sqrt -1/2) 12)) (pow y 6))) (* 1/24 (/ (* (pow x 4) (pow (sqrt -1/2) 8)) (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)) |
(* -2 (pow (sqrt -1/2) 2)) |
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (* -2 (pow (sqrt -1/2) 2))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2)))) |
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) (* x (pow y 4)))) (* -2 (pow (sqrt -1/2) 2)))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 4))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt -1/2) 2)) (pow y 4))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2)))))) |
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt -1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt -1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))))))) (* x (pow y 6)))) (+ (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) (* x (pow y 4)))) (* -2 (pow (sqrt -1/2) 2))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2)))))) (* -1/960 (* (pow x 4) (pow (sqrt -1/2) 2)))))) (pow y 6))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt -1/2) 2)) (pow y 4))) (+ (* 1/161280 (/ (* (pow x 6) (pow (sqrt -1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 6))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))))))))) |
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* x (pow (sqrt -1/2) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 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)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* 1/24 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4)))))) 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))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))))) (pow y 6))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt -1/2) 14)) (pow y 6))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 6))) (* 1/24 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))))))))) y)) |
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2))) |
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))) |
(* -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)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 91.0ms | y | @ | inf | ((* (pow (/ (* 2 y) x) -1/2) (pow (/ (* 2 y) x) -1/2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (pow (/ (* 2 y) x) -1/2) (pow (/ (* 2 y) x) -1/2)))) (cos (* (pow (/ (* 2 y) x) -1/2) (pow (/ (* 2 y) x) -1/2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* 1/8 x) (/ x (* y y))) 1) (* 1/8 x) (/ x (* y y)) (/ 1/2 (/ y x)) (/ (tan (/ 1/2 (/ y x))) (sin (/ x (* y 2)))) (tan (/ 1/2 (/ y x))) (/ y x) (pow (pow (cos (* -1/2 (/ x y))) -1/2) 2) (pow (cos (* -1/2 (/ x y))) -1/2) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)) (/ (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (sin (/ x (* y 2)))) (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (pow (* 2 y) -1/2) (pow (/ (* 2 y) x) -1/2) (sin (/ x (* y 2)))) |
| 16.0ms | x | @ | 0 | ((* (pow (/ (* 2 y) x) -1/2) (pow (/ (* 2 y) x) -1/2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (pow (/ (* 2 y) x) -1/2) (pow (/ (* 2 y) x) -1/2)))) (cos (* (pow (/ (* 2 y) x) -1/2) (pow (/ (* 2 y) x) -1/2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* 1/8 x) (/ x (* y y))) 1) (* 1/8 x) (/ x (* y y)) (/ 1/2 (/ y x)) (/ (tan (/ 1/2 (/ y x))) (sin (/ x (* y 2)))) (tan (/ 1/2 (/ y x))) (/ y x) (pow (pow (cos (* -1/2 (/ x y))) -1/2) 2) (pow (cos (* -1/2 (/ x y))) -1/2) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)) (/ (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (sin (/ x (* y 2)))) (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (pow (* 2 y) -1/2) (pow (/ (* 2 y) x) -1/2) (sin (/ x (* y 2)))) |
| 9.0ms | y | @ | -inf | ((* (pow (/ (* 2 y) x) -1/2) (pow (/ (* 2 y) x) -1/2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (pow (/ (* 2 y) x) -1/2) (pow (/ (* 2 y) x) -1/2)))) (cos (* (pow (/ (* 2 y) x) -1/2) (pow (/ (* 2 y) x) -1/2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* 1/8 x) (/ x (* y y))) 1) (* 1/8 x) (/ x (* y y)) (/ 1/2 (/ y x)) (/ (tan (/ 1/2 (/ y x))) (sin (/ x (* y 2)))) (tan (/ 1/2 (/ y x))) (/ y x) (pow (pow (cos (* -1/2 (/ x y))) -1/2) 2) (pow (cos (* -1/2 (/ x y))) -1/2) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)) (/ (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (sin (/ x (* y 2)))) (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (pow (* 2 y) -1/2) (pow (/ (* 2 y) x) -1/2) (sin (/ x (* y 2)))) |
| 7.0ms | x | @ | -inf | ((* (pow (/ (* 2 y) x) -1/2) (pow (/ (* 2 y) x) -1/2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (pow (/ (* 2 y) x) -1/2) (pow (/ (* 2 y) x) -1/2)))) (cos (* (pow (/ (* 2 y) x) -1/2) (pow (/ (* 2 y) x) -1/2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* 1/8 x) (/ x (* y y))) 1) (* 1/8 x) (/ x (* y y)) (/ 1/2 (/ y x)) (/ (tan (/ 1/2 (/ y x))) (sin (/ x (* y 2)))) (tan (/ 1/2 (/ y x))) (/ y x) (pow (pow (cos (* -1/2 (/ x y))) -1/2) 2) (pow (cos (* -1/2 (/ x y))) -1/2) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)) (/ (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (sin (/ x (* y 2)))) (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (pow (* 2 y) -1/2) (pow (/ (* 2 y) x) -1/2) (sin (/ x (* y 2)))) |
| 6.0ms | y | @ | 0 | ((* (pow (/ (* 2 y) x) -1/2) (pow (/ (* 2 y) x) -1/2)) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/ 1 (cos (* (pow (/ (* 2 y) x) -1/2) (pow (/ (* 2 y) x) -1/2)))) (cos (* (pow (/ (* 2 y) x) -1/2) (pow (/ (* 2 y) x) -1/2))) (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (+ (* (* 1/8 x) (/ x (* y y))) 1) (* 1/8 x) (/ x (* y y)) (/ 1/2 (/ y x)) (/ (tan (/ 1/2 (/ y x))) (sin (/ x (* y 2)))) (tan (/ 1/2 (/ y x))) (/ y x) (pow (pow (cos (* -1/2 (/ x y))) -1/2) 2) (pow (cos (* -1/2 (/ x y))) -1/2) (cos (* -1/2 (/ x y))) (* -1/2 (/ x y)) (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x)) (/ (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (sin (/ x (* y 2)))) (tan (* (pow (* 2 y) -1/2) (* (pow (* 2 y) -1/2) x))) (pow (* 2 y) -1/2) (pow (/ (* 2 y) x) -1/2) (sin (/ x (* y 2)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 870 | 5453 |
| 1 | 2709 | 5060 |
| 0 | 8974 | 4788 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (pow (sqrt 1/2) 2)) y) |
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 (* 1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ (pow (sqrt 1/2) 8) (pow y 4))) (* 1/24 (/ (pow (sqrt 1/2) 8) (pow y 4)))))) (* -1/2 (/ (pow (sqrt 1/2) 4) (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 (/ (pow (sqrt 1/2) 12) (pow y 6))) (+ (* 1/48 (/ (pow (sqrt 1/2) 12) (pow y 6))) (* 1/2 (/ (* (pow (sqrt 1/2) 4) (+ (* -1/4 (/ (pow (sqrt 1/2) 8) (pow y 4))) (* 1/24 (/ (pow (sqrt 1/2) 8) (pow y 4))))) (pow y 2))))))) (+ (* -1/4 (/ (pow (sqrt 1/2) 8) (pow y 4))) (* 1/24 (/ (pow (sqrt 1/2) 8) (pow y 4)))))) (* -1/2 (/ (pow (sqrt 1/2) 4) (pow y 2)))))) |
(+ 1 (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* -1/2 (/ (pow (sqrt 1/2) 4) (pow y 2))) (* 1/24 (/ (* (pow x 2) (pow (sqrt 1/2) 8)) (pow y 4)))))) |
(+ 1 (* (pow x 2) (+ (* -1/2 (/ (pow (sqrt 1/2) 4) (pow y 2))) (* (pow x 2) (+ (* -1/720 (/ (* (pow x 2) (pow (sqrt 1/2) 12)) (pow y 6))) (* 1/24 (/ (pow (sqrt 1/2) 8) (pow y 4)))))))) |
(* 1/8 x) |
(/ x (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)))) |
(/ y x) |
(+ 1 (* 1/16 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (+ (* 7/1536 (/ (pow x 2) (pow y 4))) (* 1/16 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 139/368640 (/ (pow x 2) (pow y 6))) (* 7/1536 (/ 1 (pow y 4))))) (* 1/16 (/ 1 (pow y 2)))))) |
(+ 1 (* -1/8 (/ (pow x 2) (pow y 2)))) |
(+ 1 (* (pow x 2) (- (* 1/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/46080 (/ (pow x 2) (pow y 6))) (* 1/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(* -1/2 (/ x y)) |
(* 2 (pow (sqrt 1/2) 2)) |
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))))) |
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))))) |
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (+ (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* (pow x 2) (- (* 2 (* y (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))) (pow y 2))) (+ (* -1/161280 (/ (pow (sqrt 1/2) 2) (pow y 6))) (* 1/1920 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))))) |
(* x (+ (* (pow x 2) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (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))) (* (pow x 2) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (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))) (* (pow x 2) (- (+ (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (* (pow x 2) (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (/ (pow (sqrt 1/2) 2) y))) |
(* (sqrt (/ x y)) (sqrt 1/2)) |
(* x (+ (* -1/48 (/ (pow x 2) (pow y 3))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* 1/3840 (/ (pow x 2) (pow y 5))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/645120 (/ (pow x 2) (pow y 7))) (* 1/3840 (/ 1 (pow y 5))))) (* 1/48 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(/ 1 (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(cos (/ (* x (pow (sqrt 1/2) 2)) y)) |
(* 1/8 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (/ 1 (pow x 2)) (* 1/8 (/ 1 (pow y 2))))) |
(/ (sin (* 1/2 (/ x y))) (cos (* 1/2 (/ x y)))) |
(/ 1 (cos (* -1/2 (/ x y)))) |
(sqrt (/ 1 (cos (* -1/2 (/ x y))))) |
(cos (* -1/2 (/ x y))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (* (cos (/ (* x (pow (sqrt 1/2) 2)) y)) (sin (* 1/2 (/ x y))))) |
(/ (sin (/ (* x (pow (sqrt 1/2) 2)) y)) (cos (/ (* x (pow (sqrt 1/2) 2)) y))) |
(sin (* 1/2 (/ x y))) |
(* -1 (/ (* x (pow (sqrt -1/2) 2)) y)) |
(/ 1 (cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y)))) |
(cos (* -1 (/ (* x (pow (sqrt -1/2) 2)) y))) |
(* -1 (* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2)))) |
(/ (+ (* 1/8 (pow x 2)) (pow y 2)) (pow y 2)) |
(* (sqrt (/ 1 y)) (sqrt 1/2)) |
(- (+ 1 (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2))))) (* -1/24 (/ (pow x 2) (pow y 2)))) |
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(- (+ 1 (+ (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/645120 (pow x 7)) (+ (* -1/8 (* (pow x 2) (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))))) (+ (* -1/92160 (pow x 7)) (* 1/384 (* (pow x 4) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3)))))))) (* x (pow y 6)))) (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) (* x (pow y 4))))))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/3840 (pow x 5)) (+ (* -1/8 (* (pow x 2) (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))))) (* 1/768 (pow x 5)))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2))))) (* 1/1920 (pow x 4))))) (pow y 6))) (+ (* -1/24 (/ (pow x 2) (pow y 2))) (+ (* -1/322560 (/ (pow x 6) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/48 (pow x 3)) (* -1/16 (pow x 3))) x)) (* -1/24 (pow x 2)))) (pow y 6))) (* 1/1920 (/ (pow x 4) (pow y 4))))))))) |
(- (+ 1 (* -1 (/ (+ (* -1/4 (* (pow x 4) (pow (sqrt 1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt 1/2) 8)))) (pow y 4)))) (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/720 (* (pow x 6) (pow (sqrt 1/2) 12))) (+ (* 1/48 (* (pow x 6) (pow (sqrt 1/2) 12))) (* 1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (+ (* -1/4 (* (pow x 4) (pow (sqrt 1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt 1/2) 8))))))))) (pow y 6)))) (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))) (+ (* -1/4 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (pow y 4))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (pow y 4)))))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (pow y 4))))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 6) (pow (sqrt 1/2) 12)) (pow y 6))) (* 1/24 (/ (* (pow x 4) (pow (sqrt 1/2) 8)) (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 (* -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 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1/16 (* (pow x 2) (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))))) (+ (* -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))) (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (+ (* 1/384 (pow x 4)) (* 1/256 (pow x 4)))) (pow y 4))) (* 1/16 (/ (pow x 2) (pow y 2)))))) |
(+ 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 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (* 2 (pow (sqrt 1/2) 2))) (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2)))) |
(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (+ (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) (* x (pow y 4)))) (* 2 (pow (sqrt 1/2) 2)))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 4))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4)))))) |
(- (+ (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) (* x (pow y 2)))) (+ (* 2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt 1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt 1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))))))) (* x (pow y 6)))) (+ (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) (* x (pow y 4)))) (* 2 (pow (sqrt 1/2) 2))))) (+ (* -1/12 (/ (* (pow x 2) (pow (sqrt 1/2) 2)) (pow y 2))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* 2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2)))))) (* 1/960 (* (pow x 4) (pow (sqrt 1/2) 2)))))) (pow y 6))) (+ (* -1/161280 (/ (* (pow x 6) (pow (sqrt 1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* 2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))) x)) (* -1/12 (* (pow x 2) (pow (sqrt 1/2) 2))))) (pow y 6))) (* 1/960 (/ (* (pow x 4) (pow (sqrt 1/2) 2)) (pow y 4))))))))) |
(/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* x (pow (sqrt 1/2) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 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)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4)))))) 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))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt 1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt 1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt 1/2) 10))))))) (pow y 6))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt 1/2) 6)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt 1/2) 14)) (pow y 6))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt 1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt 1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt 1/2) 6)))))) (pow y 6))) (* 1/24 (/ (* (pow x 5) (pow (sqrt 1/2) 10)) (pow y 4))))))))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (* 1/2 x)) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x))) y) |
(/ (+ (* -1/48 (/ (pow x 3) (pow y 2))) (+ (* -1/645120 (/ (pow x 7) (pow y 6))) (+ (* 1/3840 (/ (pow x 5) (pow y 4))) (* 1/2 x)))) y) |
(- (+ 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 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/4 (* (pow x 4) (pow (sqrt -1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt -1/2) 8)))) (pow y 4)))) (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2)))) |
(- (+ 1 (* -1 (/ (+ (* -1/720 (* (pow x 6) (pow (sqrt -1/2) 12))) (+ (* 1/48 (* (pow x 6) (pow (sqrt -1/2) 12))) (* 1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (+ (* -1/4 (* (pow x 4) (pow (sqrt -1/2) 8))) (* 1/24 (* (pow x 4) (pow (sqrt -1/2) 8))))))))) (pow y 6)))) (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))) (+ (* -1/4 (/ (* (pow x 4) (pow (sqrt -1/2) 8)) (pow y 4))) (* 1/24 (/ (* (pow x 4) (pow (sqrt -1/2) 8)) (pow y 4)))))) |
(+ 1 (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2)))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))) (* 1/24 (/ (* (pow x 4) (pow (sqrt -1/2) 8)) (pow y 4))))) |
(+ 1 (+ (* -1/2 (/ (* (pow x 2) (pow (sqrt -1/2) 4)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 6) (pow (sqrt -1/2) 12)) (pow y 6))) (* 1/24 (/ (* (pow x 4) (pow (sqrt -1/2) 8)) (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)) |
(* -2 (pow (sqrt -1/2) 2)) |
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (* -2 (pow (sqrt -1/2) 2))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2)))) |
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) (* x (pow y 4)))) (* -2 (pow (sqrt -1/2) 2)))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 4))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt -1/2) 2)) (pow y 4))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2)))))) |
(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt -1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt -1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))))))) (* x (pow y 6)))) (+ (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) (* x (pow y 4)))) (* -2 (pow (sqrt -1/2) 2))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2)))))) (* -1/960 (* (pow x 4) (pow (sqrt -1/2) 2)))))) (pow y 6))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt -1/2) 2)) (pow y 4))) (+ (* 1/161280 (/ (* (pow x 6) (pow (sqrt -1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 6))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))))))))) |
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* x (pow (sqrt -1/2) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 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)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* 1/24 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4)))))) 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))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))))) (pow y 6))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt -1/2) 14)) (pow y 6))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 6))) (* 1/24 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))))))))) y)) |
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2))) |
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))) |
(* -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)) |
| Outputs |
|---|
(/ (* x (pow (sqrt 1/2) 2)) y) |
(*.f64 (/.f64 x y) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/8 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 5/384 (/ (pow x 2) (pow y 4))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/384 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 61/46080 (/ (pow x 2) (pow y 6))) (* 5/384 (/ 1 (pow y 4))))) (* 1/8 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) #s(literal 61/46080 binary64) (/.f64 #s(literal 5/384 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/8 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 y y)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (/ (pow (sqrt 1/2) 8) (pow y 4))) (* 1/24 (/ (pow (sqrt 1/2) 8) (pow y 4)))))) (* -1/2 (/ (pow (sqrt 1/2) 4) (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/24 binary64)) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 (/ (pow (sqrt 1/2) 12) (pow y 6))) (+ (* 1/48 (/ (pow (sqrt 1/2) 12) (pow y 6))) (* 1/2 (/ (* (pow (sqrt 1/2) 4) (+ (* -1/4 (/ (pow (sqrt 1/2) 8) (pow y 4))) (* 1/24 (/ (pow (sqrt 1/2) 8) (pow y 4))))) (pow y 2))))))) (+ (* -1/4 (/ (pow (sqrt 1/2) 8) (pow y 4))) (* 1/24 (/ (pow (sqrt 1/2) 8) (pow y 4)))))) (* -1/2 (/ (pow (sqrt 1/2) 4) (pow y 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 12 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 7/360 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -5/24 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 5/24 binary64))) (*.f64 x x) (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* -1/2 (/ (* (pow x 2) (pow (sqrt 1/2) 4)) (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 y y)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* -1/2 (/ (pow (sqrt 1/2) 4) (pow y 2))) (* 1/24 (/ (* (pow x 2) (pow (sqrt 1/2) 8)) (pow y 4)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 x x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* -1/2 (/ (pow (sqrt 1/2) 4) (pow y 2))) (* (pow x 2) (+ (* -1/720 (/ (* (pow x 2) (pow (sqrt 1/2) 12)) (pow y 6))) (* 1/24 (/ (pow (sqrt 1/2) 8) (pow y 4)))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) y) (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/8 x) |
(*.f64 #s(literal 1/8 binary64) x) |
(/ x (pow y 2)) |
(/.f64 x (*.f64 y y)) |
(* 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)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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 (/.f64 x y) #s(literal 1/2 binary64))) |
(* x (+ (* (pow x 2) (+ (* (pow x 2) (+ (* 17/40320 (/ (pow x 2) (pow y 7))) (* 1/240 (/ 1 (pow y 5))))) (* 1/24 (/ 1 (pow y 3))))) (* 1/2 (/ 1 y)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 (*.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 (/.f64 x y) #s(literal 1/2 binary64))) |
(/ y x) |
(/.f64 y x) |
(+ 1 (* 1/16 (/ (pow x 2) (pow y 2)))) |
(fma.f64 (/.f64 #s(literal 1/16 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* 7/1536 (/ (pow x 2) (pow y 4))) (* 1/16 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 #s(literal 7/1536 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 139/368640 (/ (pow x 2) (pow y 6))) (* 7/1536 (/ 1 (pow y 4))))) (* 1/16 (/ 1 (pow y 2)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 139/368640 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 7/1536 binary64) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x x) (/.f64 #s(literal 1/16 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)) |
(* -1/2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal -1/2 binary64)) |
(* 2 (pow (sqrt 1/2) 2)) |
#s(literal 1 binary64) |
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) y)) #s(literal 2 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 x x) #s(literal 1 binary64)) |
(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))))) |
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(+ (* 2 (pow (sqrt 1/2) 2)) (* (pow x 2) (- (+ (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* (pow x 2) (- (+ (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (* (pow x 2) (- (* 2 (* y (- (* -1/5040 (/ (pow (sqrt 1/2) 14) (pow y 7))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5)))))) (pow y 2))) (+ (* -1/720 (/ (pow (sqrt 1/2) 14) (pow y 7))) (* 1/24 (/ (* (pow (sqrt 1/2) 8) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* 1/120 (/ (pow (sqrt 1/2) 10) (pow y 5))) (+ (* -1/2 (/ (* (pow (sqrt 1/2) 4) (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3))))) (pow y 2))) (* 1/24 (/ (pow (sqrt 1/2) 10) (pow y 5))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))) (pow y 2))) (+ (* -1/161280 (/ (pow (sqrt 1/2) 2) (pow y 6))) (* 1/1920 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 4)))))))) (+ (* -1/24 (/ (- (* 2 (* y (- (* -1/6 (/ (pow (sqrt 1/2) 6) (pow y 3))) (* -1/2 (/ (pow (sqrt 1/2) 6) (pow y 3)))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))) (pow y 2))) (* 1/960 (/ (pow (sqrt 1/2) 2) (pow y 4))))))) (* -1/12 (/ (pow (sqrt 1/2) 2) (pow y 2)))))) |
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(- (+ (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) (* x (pow y 2)))) (+ (* -2 (/ (- (* -1/5040 (* (pow x 7) (pow (sqrt -1/2) 14))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10)))))))) (+ (* -1/720 (* (pow x 7) (pow (sqrt -1/2) 14))) (* 1/24 (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))))))) (* x (pow y 6)))) (+ (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) (* x (pow y 4)))) (* -2 (pow (sqrt -1/2) 2))))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 4))) (+ (* -1/24 (/ (* (pow x 2) (- (* -2 (/ (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))) x)) (+ (* -1/24 (* (pow x 2) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2)))))) (* -1/960 (* (pow x 4) (pow (sqrt -1/2) 2)))))) (pow y 6))) (+ (* -1/960 (/ (* (pow x 4) (pow (sqrt -1/2) 2)) (pow y 4))) (+ (* 1/161280 (/ (* (pow x 6) (pow (sqrt -1/2) 2)) (pow y 6))) (+ (* 1/1920 (/ (* (pow x 4) (- (* -2 (/ (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))) x)) (* 1/12 (* (pow x 2) (pow (sqrt -1/2) 2))))) (pow y 6))) (* 1/12 (/ (* (pow x 2) (pow (sqrt -1/2) 2)) (pow y 2))))))))) |
(-.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 14 binary64))) (pow.f64 x #s(literal 7 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 10 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 10 binary64))) (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64)))))) (fma.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 14 binary64))) (pow.f64 x #s(literal 7 binary64)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 8 binary64))))))) x) (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 10 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 10 binary64))) (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 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 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 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 x) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 10 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 10 binary64))) (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64)))))) x) #s(literal -2 binary64)) (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64)))) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1/1920 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/1920 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) x) #s(literal -2 binary64) (*.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/24 binary64) y) (/.f64 (*.f64 x x) y) (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1/322560 binary64) (pow.f64 y #s(literal 6 binary64))))))))) |
(* -1 (/ (- (+ (* -1/6 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* x (pow (sqrt -1/2) 2))) (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2)))) y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) (*.f64 y y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) (*.f64 y y))))) (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)))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (* 1/24 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4)))))) y)) |
(/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) y) (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 10 binary64)) (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))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.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))) (/.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 10 binary64))) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64))))) (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))))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 4))) (+ (* -1/2 (/ (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* 1/120 (* (pow x 5) (pow (sqrt -1/2) 10))) (+ (* -1/2 (* (pow x 2) (* (pow (sqrt -1/2) 4) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6))))))) (* 1/24 (* (pow x 5) (pow (sqrt -1/2) 10))))))) (pow y 6))) (+ (* -1/2 (/ (* (pow x 3) (pow (sqrt -1/2) 6)) (pow y 2))) (+ (* -1/720 (/ (* (pow x 7) (pow (sqrt -1/2) 14)) (pow y 6))) (+ (* 1/24 (/ (* (pow x 4) (* (pow (sqrt -1/2) 8) (- (* -1/6 (* (pow x 3) (pow (sqrt -1/2) 6))) (* -1/2 (* (pow x 3) (pow (sqrt -1/2) 6)))))) (pow y 6))) (* 1/24 (/ (* (pow x 5) (pow (sqrt -1/2) 10)) (pow y 4))))))))) y)) |
(/.f64 (-.f64 (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 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) y) (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 10 binary64)) (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)))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 10 binary64))) (pow.f64 x #s(literal 5 binary64))) (fma.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 10 binary64))) (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64)))))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 4 binary64)) x) x)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) (*.f64 y y)) (fma.f64 (*.f64 #s(literal -1/720 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))) (*.f64 #s(literal 1/24 binary64) (fma.f64 (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))) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))))))))) (neg.f64 y)) |
(* (sqrt (/ 1 y)) (* (sqrt -1) (sqrt -1/2))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) |
(* (sqrt (/ x y)) (* (sqrt -1) (sqrt -1/2))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (/ (+ (* -1/2 x) (* 1/48 (/ (pow x 3) (pow y 2)))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 y)) |
(* -1 (/ (+ (* -1/2 x) (+ (* -1/3840 (/ (pow x 5) (pow y 4))) (* 1/48 (/ (pow x 3) (pow y 2))))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 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 #s(literal 1/48 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (/.f64 (*.f64 #s(literal -1/3840 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 y)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 245 |
| 0 | 70 | 189 |
| 1 | 211 | 169 |
| 2 | 987 | 159 |
| 3 | 7586 | 159 |
| 0 | 8583 | 159 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64))))) |
(cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/8 binary64) x) |
(/.f64 x (*.f64 y y)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(/.f64 y x) |
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) #s(literal -1/2 binary64)) |
(cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 x y)) |
(*.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)) |
(/.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))))) |
(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))) |
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) |
(sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x) |
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(*.f64 (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 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (*.f64 y #s(literal 2 binary64)))) |
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(exp.f64 (fma.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 y #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y))) #s(literal -1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/8 binary64))) (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 y x) #s(literal 4 binary64)) y) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 y x) #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/8 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) x) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x))) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal -2 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) |
(exp.f64 (fma.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x))))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal -2 binary64))) #s(literal -1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(*.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1 binary64))) |
(neg.f64 (sin.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
(sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(-.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 x y) #s(literal -1/2 binary64))))) |
(-.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))) |
(-.f64 #s(literal 0 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) |
Compiled 26 594 to 3 554 computations (86.6% saved)
108 alts after pruning (99 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 745 | 35 | 780 |
| Fresh | 13 | 64 | 77 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 760 | 108 | 868 |
| Status | Accuracy | Program |
|---|---|---|
| 52.3% | (pow.f64 (pow.f64 (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 51.9% | (pow.f64 #s(approx (pow (cos (* -1/2 (/ x y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) | |
| 54.4% | (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.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 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 0 binary64)))) | |
| 44.3% | (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) | |
| 43.7% | (/.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))))) | |
| ✓ | 44.2% | (/.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))))) |
| 26.8% | (/.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))))) | |
| 20.3% | (/.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))))) | |
| 44.4% | (/.f64 (tan.f64 (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 17.2% | (/.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))))) | |
| 26.3% | (/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 26.3% | (/.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))))) | |
| 24.3% | (/.f64 (tan.f64 (/.f64 x (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 24.6% | (/.f64 (tan.f64 (/.f64 x (/.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 24.0% | (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -2 binary64))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.4% | (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) y)))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.5% | (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.2% | (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64)))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 22.6% | (/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y))) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 28.7% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) | |
| 41.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/4 binary64)))) | |
| 44.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) | |
| 38.1% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64))))) | |
| 37.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin (/ x (* 2 y))) -1) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 x x) y) (*.f64 #s(literal 2 binary64) y)) x)))) | |
| 40.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin (/ x (* 2 y))) -1) (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) x)) y)))) | |
| 40.3% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin (/ x (* 2 y))) -1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) | |
| 43.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| 17.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) y)))) | |
| 39.4% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 40.0% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) y)))))) | |
| ✓ | 44.5% | (/.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))))) |
| 39.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 y))))))) | |
| 24.6% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (/.f64 #s(literal 4 binary64) y) (neg.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64))))))) | |
| 44.1% | (/.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)))))) | |
| 40.0% | (/.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))))))) | |
| 24.5% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y y) y))))) | |
| 39.8% | (/.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)))))) | |
| 43.9% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 44.2% | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y))))) | |
| ✓ | 43.9% | (/.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)))) |
| 40.0% | (/.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))))) | |
| 40.0% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 39.4% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (*.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 #s(literal 2 binary64)))))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.1% | (/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ✓ | 44.2% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 44.5% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| 44.1% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.4% | (/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| ✓ | 43.9% | (/.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))))) |
| 40.6% | (/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (*.f64 y #s(literal 2 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 44.4% | (/.f64 (tan.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 43.7% | (/.f64 (tan.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 40.8% | (/.f64 (tan.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #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))))) | |
| 39.6% | (/.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))))) | |
| 44.7% | (/.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) (*.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal 1/2 binary64))) | |
| 44.3% | (/.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) (sin.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))) | |
| 40.5% | (/.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))))) | |
| 40.7% | (/.f64 #s(approx (tan (/ x (exp (neg (* (log (* 2 y)) -1))))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) | |
| 54.4% | (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) | |
| 44.2% | (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (neg.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) | |
| 51.9% | (exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) | |
| ✓ | 48.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) |
| 53.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) | |
| 51.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (pow.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) #s(literal -1/4 binary64)) #s(literal 4 binary64))) | |
| 53.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (pow.f64 (*.f64 (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y))) (cos.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) #s(literal -1/2 binary64))) | |
| 44.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 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))))))) | |
| 44.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))) | |
| 44.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) | |
| 44.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (neg.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64))))))) | |
| 44.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) | |
| 54.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))))) | |
| 54.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/4 binary64)) #s(literal 4 binary64))))) | |
| 52.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 (log.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) | |
| 54.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))))) | |
| 54.7% | #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) (/.f64 #s(literal -1 binary64) x))))) | |
| 50.1% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) x))))) | |
| 49.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y)))))))) | |
| 54.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) | |
| 54.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x))))))) | |
| 53.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) x) #s(literal -1/4 binary64))))))) | |
| 54.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))))))) | |
| 54.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x))) #s(literal 2 binary64))))))) | |
| 55.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(approx (pow (/ (* 2 y) x) -1/2) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64)))))))) | |
| 54.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) x)))))) | |
| 54.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) x))))) | |
| 54.2% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.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))))))) | |
| 54.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1 binary64))))))) | |
| 54.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) x))))) | |
| 54.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) x)))))) | |
| 50.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))))) | |
| 54.3% | #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) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) | |
| ✓ | 54.6% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
| 41.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 y x))))) | |
| 54.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) | |
| 54.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.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)) (pow.f64 x #s(literal -1 binary64))))))) | |
| 49.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal -2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) | |
| 48.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal -2 binary64)))) y) #s(literal 2 binary64))))) | |
| 48.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (/.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y y)))) y)))) | |
| 50.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 y (*.f64 #s(literal -4 binary64) (*.f64 y y))))))) | |
| 41.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) y) x))))) | |
| 54.8% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) | |
| 52.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal -1/2 binary64)))))) | |
| 54.4% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal -1 binary64)))))) | |
| 51.3% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))))) | |
| 44.5% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (*.f64 (pow.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) #s(literal -1 binary64)) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) | |
| 3.0% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (*.f64 x x) y) (*.f64 y #s(literal 8 binary64))))) | |
| ✓ | 2.9% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
| ✓ | 54.7% | #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Compiled 6 350 to 2 649 computations (58.3% saved)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (*.f64 x x) y) (*.f64 y #s(literal 8 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.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 x y) #s(literal -1/2 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 y (*.f64 #s(literal -4 binary64) (*.f64 y y))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (/.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y y)))) y)))) |
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(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
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#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.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)) (pow.f64 x #s(literal -1 binary64))))))) |
(/.f64 (tan.f64 (/.f64 x (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) y))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (log.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) |
(/.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)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -3/4 binary64)) x)))))) |
(/.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))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal -2 binary64))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(/.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))))) |
(/.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))) |
(/.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))))) |
(/.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 (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))))) |
(/.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)))) |
(/.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))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64))))) |
(/.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))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 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)) (pow.f64 (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))) #s(literal -1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x))) #s(literal 2 binary64))))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(*.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 (tan.f64 (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y))) #s(literal 1 binary64)))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x) x) #s(literal -1/4 binary64))))))) |
(/.f64 (tan.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 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (cos.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 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 0 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (pow.f64 (exp.f64 (log.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal -2 binary64)))) #s(literal -1/2 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1 binary64))))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) y)))))) |
(/.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))))) |
(/.f64 (tan.f64 (*.f64 (*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.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))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 (*.f64 y #s(literal 2 binary64)) x))))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1/2 binary64) y)))))) |
(/.f64 (tan.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal 2 binary64))) #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))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 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)) (tan.f64 (/.f64 x (*.f64 #s(literal 2 binary64) y))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) y)))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -2 binary64)))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (/.f64 (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal -1 binary64) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 (+.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (/.f64 x y))) #s(literal -2 binary64)) (*.f64 (neg.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))) (cos.f64 (*.f64 #s(literal -1/2 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 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 2 binary64))))))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (*.f64 y #s(literal 2 binary64)))) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal -1/4 binary64))) x)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (neg.f64 (pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) y)))) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (exp.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/4 binary64)))) |
(/.f64 (tan.f64 (/.f64 x (exp.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (exp.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) y)) #s(literal 2 binary64))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 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 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 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) (pow.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 y))))))) |
(/.f64 (tan.f64 (/.f64 x (exp.f64 (*.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 (log.f64 y) (-.f64 (log.f64 y) (log.f64 #s(literal 2 binary64)))))))))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(approx (pow (/ (* 2 y) x) -1/2) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64)))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
5 calls:
| 68.0ms | (*.f64 y #s(literal 2 binary64)) |
| 50.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 49.0ms | y |
| 47.0ms | x |
| 46.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.3% | 1 | x |
| 55.3% | 1 | y |
| 55.3% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 56.9% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 55.3% | 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 (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (*.f64 x x) y) (*.f64 y #s(literal 8 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.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 x y) #s(literal -1/2 binary64)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 y (*.f64 #s(literal -4 binary64) (*.f64 y y))))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 x (/.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y y)))) y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 y x))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y))) (*.f64 #s(literal -2 binary64) y))))) |
(/.f64 #s(approx (tan (/ x (exp (neg (* (log (* 2 y)) -1))))) (/.f64 x (*.f64 #s(literal 2 binary64) y))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 #s(approx (tan (/ x (* y 2))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) x))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin (/ x (* 2 y))) -1) (*.f64 (/.f64 #s(literal 2 binary64) x) y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 x (*.f64 #s(literal -4 binary64) (*.f64 y y)))))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin (/ x (* 2 y))) -1) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 x x) y) (*.f64 #s(literal 2 binary64) y)) x)))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin (/ x (* 2 y))) -1) (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 1/12 binary64) (/.f64 #s(literal 2 binary64) x)) y)))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) y) x))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal -2 binary64)))) y) #s(literal 2 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) (pow.f64 x #s(literal -1 binary64)))))) |
(pow.f64 #s(approx (pow (cos (* -1/2 (/ x y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) |
(/.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)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.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 (/.f64 #s(literal -1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (neg.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) |
(/.f64 (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(/.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 (tan.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))) (sin.f64 (*.f64 (/.f64 x y) #s(literal -1/2 binary64)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y y) y))))) |
(/.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 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 x y))))) |
(/.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 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) x))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (*.f64 x x))) x)) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal -2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) y)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 x #s(literal 8 binary64))) (/.f64 (*.f64 (/.f64 (/.f64 x y) y) (/.f64 x #s(literal 8 binary64))) (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 x x) y) (/.f64 #s(literal 1/8 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (tan.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) y)))) (sin.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))))) |
(/.f64 (tan.f64 (/.f64 x (/.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 #s(literal -2 binary64) y)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))) (tan.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)))))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) #s(approx (/ 1 (pow (sin (/ x (* 2 y))) -1)) (*.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))) |
(/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 (/.f64 #s(literal 4 binary64) y) (neg.f64 (*.f64 (*.f64 y y) #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))))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
5 calls:
| 60.0ms | y |
| 37.0ms | (*.f64 y #s(literal 2 binary64)) |
| 26.0ms | x |
| 22.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 14.0ms | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.7% | 1 | y |
| 54.7% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 56.4% | 2 | x |
| 54.7% | 1 | (/.f64 (tan.f64 (/.f64 x (*.f64 y #s(literal 2 binary64)))) (sin.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))))) |
| 56.3% | 2 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
Compiled 23 to 21 computations (8.7% saved)
Total -33.5b remaining (-115.7%)
Threshold costs -33.5b (-115.7%)
| Inputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 y y)) x) x))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (/.f64 x (*.f64 y y)) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (*.f64 x x) y) (*.f64 y #s(literal 8 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) y) (/.f64 (*.f64 x x) y) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(approx (+ (* (/ 1/8 y) (/ (* x x) y)) 1) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 y y)) y) y))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) #s(approx (cos (* (/ 1/2 y) x)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) y) (/.f64 x y) #s(literal 1 binary64))))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x)))) |
(/.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 x y) #s(literal -1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
4 calls:
| 44.0ms | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 4.0ms | (*.f64 y #s(literal 2 binary64)) |
| 4.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.7% | 1 | y |
| 54.7% | 1 | (*.f64 y #s(literal 2 binary64)) |
| 54.7% | 1 | (/.f64 x (*.f64 y #s(literal 2 binary64))) |
| 54.7% | 1 | x |
Compiled 10 to 13 computations (-30% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.043444004371731e+289 | 4.19947408944528e+291 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 52173142835795230.0 | 354597174229793150.0 |
| 15.0ms | 51× | 0 | valid |
| 8.0ms | 45× | 1 | valid |
Compiled 238 to 175 computations (26.5% saved)
ival-mult: 12.0ms (61.1% of total)ival-sin: 3.0ms (15.3% of total)ival-div: 2.0ms (10.2% of total)ival-tan: 2.0ms (10.2% of total)adjust: 1.0ms (5.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 119 |
| 1 | 46 | 119 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(approx (pow (/ (* 2 y) x) -1/2) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64)))))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal 75000000000000000 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)) #s(approx (pow (/ (* 2 y) x) -1/2) (*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 #s(literal 1/2 binary64)))))))) #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 50000000000000003086391676393357844349718615548150562915502642526940668826983577947126958547223239834715522922574563065517295392716978085869105767683493614277129551054580941093067371516906876813636692980123138622497423128945174015407700562118352100956066287915925652518044475460566300753920 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(approx (pow (/ (* 2 y) x) -1/2) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 x y)))) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal -1/2 binary64)))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
(if (<=.f64 x #s(literal 75000000000000000 binary64)) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) (/.f64 #s(literal 1 binary64) (cos.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x))))) #s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64))) |
#s(approx (/ (tan (/ x (* y 2))) (sin (/ x (* y 2)))) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 870 | 5453 |
| 1 | 2709 | 5060 |
| 0 | 8974 | 4788 |
| 0 | 316 | 1577 |
| 1 | 950 | 1551 |
| 2 | 3389 | 1449 |
| 0 | 9127 | 1340 |
| 0 | 52 | 256 |
| 0 | 84 | 198 |
| 1 | 263 | 195 |
| 2 | 1320 | 185 |
| 0 | 8644 | 183 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 182 to 98 computations (46.2% saved)
Compiled 580 to 266 computations (54.1% saved)
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